text:
<?php
/**
 * undocumented class
 *
 * @package default
 * @author user
 **/
define('_OPENID_CONSUMER_CLASS_', 'consumer');

class ConsumerController extends Object
{
	private $pape_policy_uris = array(
				PAPE_AUTH_MULTI_FACTOR_PHYSICAL,
				PAPE_AUTH_MULTI_FACTOR,
				PAPE_AUTH_PHISHING_RESISTANT
			  );
	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	public function defaultCall()
	{
		return $this->login();
	}
	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	public function login($error = null)
	{
		$render = $this->getTemplate('consumer_login');
		$render->setPapePolicyUri($this->pape_policy_uris);
		$render->setError($error);
		return $render;
	}
	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	public function finishAuth()
	{
		$consumer = $this->getManager(_OPENID_CONSUMER_CLASS_)->getConsumer();
		$return_to = $this->getReturnTo();
		$response = $consumer->complete($return_to);

		//check the response status
		if ($response->status == Auth_OpenID_CANCEL) {
			// This means the authentication was cancelled.
			$msg = 'Verification cancelled.';
		} else if ($response->status == Auth_OpenID_FAILURE) {
			// Authentication failed; display the error message.
			$msg = "OpenID authentication failed: " . $response->message;
		} else if ($response->status == Auth_OpenID_SUCCESS) {
			// This means the authentication succeeded; extract the
			// identity URL and Simple Registration data (if it was
			// returned).
			$openid = $response->getDisplayIdentifier();
			$esc_identity = htmlentities($openid);

			$success = sprintf('You have successfully verified ' .
                           '%s as your identity.',
                           $esc_identity, $esc_identity);

			if ($response->endpoint->canonicalID) {
				$escaped_canonicalID = htmlentities($response->endpoint->canonicalID);
				$success .= '  (XRI CanonicalID: '.$escaped_canonicalID.') ';
			}

			$sreg_resp = Auth_OpenID_SRegResponse::fromSuccessResponse($response);

			$sreg = $sreg_resp->contents();

			if (@$sreg['email']) {
				$success .= "  You also returned '".htmlentities($sreg['email']).
							"' as your email.";
			}

			if (@$sreg['nickname']) {
				$success .= "  Your nickname is '".htmlentities($sreg['nickname']).
							"'.";
			}

			if (@$sreg['fullname']) {
				$success .= "  Your fullname is '".htmlentities($sreg['fullname']).
							"'.";
			}

			$pape_resp = Auth_OpenID_PAPE_Response::fromSuccessResponse($response);

			if ($pape_resp) {
				if ($pape_resp->auth_policies) {
					$success .= "
The following PAPE policies affected the authentication:

";

					foreach ($pape_resp->auth_policies as $uri) {
						$escaped_uri = htmlentities($uri);
						$success .= "
<tt>$escaped_uri</tt>
";
					}

					$success .= "
";
				} else {
					$success .= "
No PAPE policies affected the authentication.
";
            	}

				if ($pape_resp->auth_age) {
					$age = htmlentities($pape_resp->auth_age);
					$success .= "
The authentication age returned by the " .
								"server is: <tt>".$age."</tt>
";
				}

				if ($pape_resp->nist_auth_level) {
					$auth_level = htmlentities($pape_resp->nist_auth_level);
					$success .= "
The NIST auth level returned by the " .
								"server is: <tt>".$auth_level."</tt>
";
				}

			} else {
				$success .= "
No PAPE response was sent by the provider.
";
			}
		}

		$error = object('error');
		$error->setMessage($msg);
		$error->setSuccess($success);
		return $this->login($error);
	}
	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	public function tryAuth()
	{
		$validate = true;
		$error = object('error');
		# get the url of the openid identifier
		$openid = @$_GET['openid_identifier'];

		if(empty($openid)){
			# if there is no openid input from user, redirect back & include error message
			$error->setMessage('Enter OpenID Identifier');
			return $this->login($error);
		}
		# get the consumer
		$consumer = $this->getManager(_OPENID_CONSUMER_CLASS_)->getConsumer();

		// Begin the OpenID authentication process.
    	$auth_request = $consumer->begin($openid);

    	// No auth request means we can't begin OpenID.
		if (!$auth_request) {
			$error->setMessage('Authentication error; not a valid OpenID.');
			return $this->login($error);
		}
		# Simple Registration Data
		$sreg_request = Auth_OpenID_SRegRequest::build(
							// Required
							array('nickname'),
							// Optional
							array('fullname', 'email'));

		if ($sreg_request) {
			$auth_request->addExtension($sreg_request);
		}

		$policy_uris = $_GET['policies'];

		$pape_request = new Auth_OpenID_PAPE_Request($policy_uris);
		if ($pape_request) {
			$auth_request->addExtension($pape_request);
		}

		// Redirect the user to the OpenID server for authentication.
		// Store the token for this authentication so we can verify the
		// response.
		// For OpenID 1, send a redirect.  For OpenID 2, use a Javascript
		// form to send a POST request to the server.

		if ($auth_request->shouldSendRedirect()) {

			$redirect_url = $auth_request->redirectURL($this->getTrustRoot(), $this->getReturnTo());

			// If the redirect URL can't be built, display an error
			// message.
			if (Auth_OpenID::isFailure($redirect_url)) {
				$error->setMessage("Could not redirect to server: " . $redirect_url->message);
				return $this->login($error);
        	} else {
				// Send redirect.
				header("Location: ".$redirect_url);
				//Event::fire('redirect', $redirect_url);
			}
    	} else {
    		# OpenID 2 - Generate form - structure below
    		/*
    		"
    			<title>OpenId transaction in progress</title>

    				<form accept-charset=\"UTF-8\" enctype=\"application/x-www-form-urlencoded\" id=\"openid_message\" action=\"http://izportal.com/@openid/server/\" method=\"post\">
    				<input type=\"hidden\" name=\"openid.ns\" value=\"http://specs.openid.net/auth/2.0\" />
    				<input type=\"hidden\" name=\"openid.ns.sreg\" value=\"http://openid.net/extensions/sreg/1.1\" />
    				<input type=\"hidden\" name=\"openid.ns.pape\" value=\"http://specs.openid.net/extensions/pape/1.0\" />
    				<input type=\"hidden\" name=\"openid.sreg.required\" value=\"nickname\" />
    				<input type=\"hidden\" name=\"openid.sreg.optional\" value=\"fullname,email\" />
    				<input type=\"hidden\" name=\"openid.pape.preferred_auth_policies\" value=\"\" />
    				<input type=\"hidden\" name=\"openid.realm\" value=\"http://izportal.com/@openid/consumer/\" />
    				<input type=\"hidden\" name=\"openid.mode\" value=\"checkid_setup\" />
    				<input type=\"hidden\" name=\"openid.return_to\" value=\"http://izportal.com/@openid/consumer/finishAuth/?janrain_nonce=2009-04-04T03%3A55%3A58ZqQRBUu\" />
    				<input type=\"hidden\" name=\"openid.identity\" value=\"http://izportal.com/@openid/server/me/thanhnh\" />
    				<input type=\"hidden\" name=\"openid.claimed_id\" value=\"http://izportal.com/@openid/server/me/thanhnh\" />
    				<input type=\"hidden\" name=\"openid.assoc_handle\" value=\"{HMAC-SHA1}{49d5d602}{9QWOcw==}\" />
    				<input type=\"submit\" value=\"Continue\" />\n</form>

    		"
	    	*/
			// Generate form markup and render it.
			$form_id = 'openid_message';
			$form_html = $auth_request->htmlMarkup($this->getTrustRoot(), $this->getReturnTo(), false, array('id' => $form_id));
			//$fs = $this->getManager('files');
			//$fs->write('c:\form_submit.txt',$form_html);
			// Display an error if the form markup couldn't be generated;
			// otherwise, render the HTML.
			if (Auth_OpenID::isFailure($form_html)) {
				$error->setMessage("Could not redirect to server: " . $form_html->message);
				//displayError("Could not redirect to server: " . $form_html->message);
				return $this->login($error);
			} else {
				print $form_html;
				exit(0);
			}
		}
	}

	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	private function getTrustRoot()
	{
		return config('root.uri')."consumer/";
	}
	/**
	 * undocumented function
	 *
	 * @return void
	 * @author user
	 **/
	private function getReturnTo()
	{
		return config('root.uri')."consumer/finishAuth/";
	}
} // END class
?>


Located in Central Martinsville, about 1/2 mile from the heart of Historic Uptown Martinsville.
Within close proximity to New College Institute, Martinsville City Hall, Memorial Hospital of Martinsville, Virginia Museum of Natural History, Piedmont Arts and a variety of professional services including medical, banking, and attorneys.
Within 5 miles of the entrance of NASCAR's Martinsville Speedway which seats up to 60,000 race fans that travel from up to 100s of miles away to visit the racetrack and patronize areas lodging and recreational facilities. The city of Martinsville and the surrounding Henry County Virginia, as well as nearby Danville and Roanoke, VA and Greensboro, NC greatly benefit from the influx of tourists to the two NASCAR Nextel cup races as well as other events at the racetrack and to the popular and highly traveled Blue Ridge Parkway, that winds its way through the Appalachian Mountains.
Within an hour drive to Roanoke and Danville, VA and Greensboro, NC. Two small private airstrips nearby, the Blue Ridge Regional Airport in Spencer, VA and Pace Airport in Ridgeway, VA. Within an hour to Roanoke Regional Airport in Roanoke, VA and Piedmont Triad International Airport in Greensboro, NC.


RAMUNNO & RAMUNNO LAW OFFICES: A GENTLE HAND THAT PROTECTS OUR CLIENTS, BUT A STRONG FIST TO PUNISH OUR CLIENTS' OPPONENTS.
When people get hurt in car accidents, or slip and falls due to another person's sloppy driving, negligence and/or lack of attention, they are entitled to money. Insurance companies though want to keep their money for themselves and aren't above cheating a injury victim out of the money he or she deserves.
Insurance companies want the general public to think that its not worth the hassle to pursue an injury claim. But we will do the work for you and you'll be amazed how hassle free it is and how much money we can get you. Take a step towards getting money for yourself and contact us today.
As experienced trial lawyers, we hold the negligent parties' insurance companies accountable and make them pay top dollar for the injuries and pain they've caused our clients . Serving the victims of accidents throughout Delaware, Ramunno & Ramunno has protected personal injury clients for over 40 years. We help clients get compensation for property damage, medical expenses, lost wages, but most of all, pain and suffering that they may suffer for the rest of their lives.
We know the physical and mental pain involved with an injury. Often our clients have serious injuries, that require surgery, injections, MRI's, EMG's and/or many months of therapy, often needing well over a year of medical care. Even then, many of our clients do not fully recover from their injuries and suffer life-altering, permanent pain, medical expenses and lost wages for the rest of their lives.
When you have been injured, you deserve to be treated fairly by insurance companies. You deserve full and fair compensation for the pain, bills and life changes you have had to undergo. But sadly, insurance companies usually don't treat injured people fairly until and unless they are forced to do so. At Ramunno & Ramunno, we take great pride in the fact that we are considered one of Delaware's biggest and strongest personal injury law offices. We also take great pride in the fact that insurance companies know they can't push us around and that we won't hesitate to file suit and/or take an injury case to trial. Because insurance companies know this, and because we have a long running reputation of using legal action to force insurance companies to pay what they owe and winning at trial if they choose to challenge us and our client, we routinely settle injury claims faster and for more money than many other law offices.
In addition, unlike some law offices, who might make hundreds of thousands of dollars each year defending insurance companies, we never represent insurance companies. As a result, our loyalty is 100% to our clients, and insurance companies are not, in any way, able to influence us or our advice to our clients. That is the main reason we refuse to represent insurance companies. But, we also refuse to represent them because we don't like them and because we are successful and big enough that we are not interested in the relatively small amounts of money they'd pay us. Put another way, Ramunno & Ramunno is simply too successful and too big to bother working for insurance companies.
If you've been injured, before hiring a lawyer, ask yourself, who can you trust and rely on more? A law office that doesn't have even one dollar of its income coming from defending insurance companies or a law office that is getting tens, if not hundreds, of thousands of dollars each year for representing insurance companies. Also, when looking for a law office, if their website or ads don't make it clear they refuse to represent insurance companies, ask yourself why? And, don't be afraid, if your talking to them, to ask them point blank: whether they do or don't. If they do, think long and hard about who their loyalty will be with. At Ramunno & Ramunno you'll never have to worry about who are loyalty is with, because it's always 100% with our clients.
And, please always remember, we do not charge a fee or costs until we obtain a recovery for our clients.


I am seriously book-backlogged! I have stacks that need to be read and no time to read them!
I got this book from Amazon on Tuesday, and although it's supposed to be a quick read, I don't even have time for quick anymore. I have a review due tomorrow, and then I have to cram my book group book for Thursday's final discussion of the year.
However, my dear friend Heather, offered her review over at our group blog, Mormon Mommy Wars, so if you want to throw your two cents into the ongoing discussion, feel free! And when I finally get around to reading it, hopefully we can discuss it here too.
Have you seen her you-tube video? It is really funny and would give you a quick taste of her book.


This chapter explains how to create your own hotkeys, menus, and menu items. This kind of code is typically placed in the menu.py file. Please refer to Installing Plug-ins for information on how to install custom files.
Nuke - the application menu on top of the interface.
Pane - the Pane menu found in all content menus.
Nodes - the toolbar (and the right-click menu in the Node Graph).
Properties - right-click menus of properties panels.
Animation - the pop-up menu on the Animation button of all properties panels, and the right-click menu of the Curve Editor.
Viewer - the right-click menu of the Viewer.
Node Graph - the right-click menu of the Node Graph.
Axis - the menus on all Axis_Knobs.
In the above example, we create a menu called MyMenu menu on the fly.
If you deactivate a menu item, the hotkey assigned to it still continues to work.
You can also use modifier keys when assigning a hotkey.
^ followed by the key.
# followed by the key.
+ followed by the key.
The above line sets the size control of any subsequently created Blur nodes to 77 by default.
The above sets all channels controls to rgba on node creation.


text:
Le bunker de type 687 est un bunker répondant au standard regelbau. Il est composé d'un abri en béton surmonté d'une tourelle de char Panther.

Construction
La configuration d'origine comprenait une structure métallique préfabriquée de deux étages, développée par l'OT pour accélérer la construction dans des endroits éloignés. Sa construction nécessite d'excaver  de terre et de couler  de béton.

Il y avait des problèmes significatifs pour construire ces structures compliquées dans des zones montagneuses reculées telles que les Vosges et les plaines rhénanes par temps froid et humide. En , un bunker souterrain en bois plus simple fut développé sur le Rhin-Festung Pioniere.

La lettre H indique qu'il était destiné à un usage par la Heer.

Architecture
Le bunker est composé d'un bunker en béton sur laquelle est installée une tourelle de char Panther. Par manque de béton, la structure peut être en acier. Le poste de combat peut accueillir trois hommes.

Armement
Les tourelles Panther armées d'un canon de 75mm étaient soit cannibalisées à partir de blindés endommagés ou déclassés, soit étaient des  (tourelles du mur Est) sur mesure avec une armure de toit épaissie.

Exemplaires
Ce bunker fut initialement déployé en Italie en avril 1944 et s'est avéré très efficace dans la défense de la ligne gothique. Il fut également utilisé dans la région du Rhin-Stellung.

Un total de  furent fabriqués. Sur la ligne défensive des Vosges,  furent coulés en . Cependant, l'offensive alliée frappa avant que les tourelles ne soient achevées, des bunkers avaient été coulés. Au moins une tourelle et d'autres composants ont été perdus. Dans la région d'Aix-la-Chapelle, les travaux ont commencé en septembre 1944 avec des plans pour déployer 40 Pantherturme avec 17 sur des bunkers en béton et le reste sur de l'acier.

Notes et références

Voir aussi

 Regelbau
 Mur de l'Atlantique

redpajama_set_name: RedPajamaWikipedia


text:
Last edited by Vuzshura
2 edition of Rubáiyát of Omar Khayyám found in the catalog.
Rubáiyát of Omar Khayyám
by Omar Khayyam
Published 1909 by Hodder and Stoughton in New York .
Illustration of books.
Statement rendered into English verse by Edward Fitzgerald ; with illustrations by Edmund Dulac.
Contributions Dulac, Edmund, 1882-1953, FitzGerald, Edward, 1809-1883
Pagination [56] leaves, [20] leaves of plates :
Slight foxing to edges of text block otherwise a near fine copy. In his autobiography, George Doran, the book's American publisher, noted "In point of excellence of art, popularity, distinction and profit the crowning achievement. was the publication of the Fitzgerald version of the Rubáiyát of Omar Khayyám illustrated by Edmund Dulac. What others are saying The Age of Perpetual Light Josh Weil Grove Press, Design: Nick Misani The Age of Perpetual Light by Josh Weil (September "Engrossing, persuasively detailed, and written with a deep affection for the way language can, in masterful hands, convey us to marvelous new worlds.
quotes from Omar Khayyám: 'Be happy for this moment. This moment is your life.', 'Drink wine. This is life eternal. This is all that youth will give you. It is the season for wine, roses and drunken friends. Be happy for this moment. This moment is your life.', and 'The Moving Finger writes; and, having writ, Moves on: nor all thy Piety nor Wit Shall lure it back to cancel half a Line. The Rubáiyát of Omar Khayyám won FitzGerald immortality. Khayyám was born in Nishapur in in the province of Khorasan two centuries before the region was devastated by Gengis Khan. He was educated at Nishapur and traveled to several reputed institutions of learning, including those at Bukhara, Balkh, Samarkand and Isphahan.
The Rubáiyát of Omar Khayyám is so-named from the Persian word rubáiyát - a Persian word denoting a specific type of two-line stanza. Omar's Rubaiyat is a beautiful anthology of Islamic wisdom literature: originally penned in medieval Persian during the late 11th century AD. The Rubáiyát of Omar Khayyám (Persian: رباعیات عمر خیام) is the title that Edward Fitz-Gerald gave to his translation of a selection of poems, originally written in Persian and of which there are about a thousand, attributed to Omar Khayyám (–), a Persian poet, mathematician and astronomer.
Sweet & savoury biscuits in Italy.
Representations of the body in French Renaissance poetry
Light therapy for seasonal affective disorder.
Twelve months in Klondike
Micrographia restaurata
The slipway.
execution of deeds and documents by or on behalf of bodies corporate
California LEV program and ethanol in Illinois
Listen for a Whisper
Overhearing the Gospel
America A Concise History 2e Volume 1 and Abraham Lincoln, Slavery & Civil War
Progressive hints
Poisoned Chalice
How to pass the California real estate exam
In This Mountain (The Mitford Years #7)
Company A, 276th Infantry in World War II
lure of the sea
Statement of aims.
A residence among the Chinese: inland, on the coast, and at sea.
Rubáiyát of Omar Khayyám by Omar Khayyam Download PDF EPUB FB2
Jan 11, · The Rubaiyat: History's most luxurious book of poetry. Bray was determined to revive not only the memory of the Great Omar, but also the book itself. was the Rubáiyát of Omar Khayyám. Nov 16, · After its discovery by D. Rossetti and others, the verse became extremely popular. Essentially a hedonist and a skeptic, Omar Khayyám, through FitzGerald, spoke with both an earthy and spiritual freedom that stirred a universal response.
As a result, the Rubáiyát became one of the best-known and most often quoted English classics. The /5(). The rubaiyat are a series of poems or 'stanzas' by the famous 12th century Persian atronomer and philosopher The Rubáiyát of Omar Khayyám (Persian: رباعیات عمر خیام) is the title that Edward FitzGerald gave to his translation of a selection of poems, originally written in Persian and numbering about a thousand, attributed to Omar Khayyám (–), a Persian poet,/5(K).
Dec 29, · An earlyth-century illustration of The Rubáiyát of Omar Khayyám. Photograph: Corbis The coming year is the th anniversary of the birth of Edward FitzGerald; so, as the year turns, what Author: Carol Rumens. This website is dedicated to the Rubaiyat of Omar Khayyam, translated by Edward FitzGerald.
It is intended to be a repository for Rubaiyat editions, art, and other media related to. The Rubáiyát of Omar Khayyám: Illustrated Collector's Edition Omar Khayyám.
out of 5 stars Kindle Edition. $ The Essential Rumi - reissue: New Expanded Edition Jalal Al-Din Rumi. out of 5 stars # 1 Best Seller in Sufism. Kindle Edition. $/5(6). Lonely, Kings, Book. Omar Khayyam (). "Rubáiyát of Omar Khayyám" Copy quote.
I have not asked for life. But I try to accept whatever (). "Edward FitzGerald, Rubáiyát of Omar Khayyám: A Critical Edition", p, University of Virginia Press Copy quote. I sent my Soul through the Invisible, Some letter of that. Rubáiyát of Omar Khayyám of Naishápur [Reprint] by Omar Khayyam,Omar Khayyam Club, London,Essex House Press.
() bkp CU-BANC,Moffitt, James K. (James Kennedy), ,Ashbee, C. (Charles Robert), and a great selection of related books, art and collectibles available now at dirkbraeckmanvenice2017.com Jul 02, · The Curse of the "Great Omar" Harry Ransom Center a jeweled edition of "The Rubáiyát of Omar Khayyám" with illustrations by Elihu Vedder.
The magnificent book was created and. The Rubáiyát of Omar Khayyám (Persian: رباعیات عمر خیام) is the title that Edward FitzGerald gave to his translation of a selection of poems, originally written in Persian and numbering about a thousand, attributed to Omar Khayyám (–), a Persian poet, mathematician and astronomer.
A book of verses underneath the bough, A jug of wine, a loaf of bread—and thou. The Rubáiyát is one of the most popular poems of all time.A collection of quatrains composed in the eleventh century by Persian poet and philosopher Omar Khayyám, it was first published in English-language translation by Edward Fitzgerald in May 12, · The Rubáiyát of Omar Khayyám was written by the eccentric English scholar Edward FitzGerald, drawing on his loose translation of quatrains by the 12th-century poet and mathematician Omar Khayyám.
Obscure beginnings perhaps, but the poem's remarkable publishing history is the stuff of. Omar Khayyam has remained a universally acclaimed Persian Poetic Gem Rare & Unique. Each Line in translation is learned passionately uttered like the one On Love🌺🌺's Remoulding and How the Moving Finger writes immortal lines of freedom etc.
Bravo Omar May You Live Forever Vive La Joie de Vivre!3/5(28). Edward Fitzgerald () was an English translator. He was known during his lifetime for his wit and personal charm, "dear old Fitz" was his personal moniker to his friends.
He is most famous for his translation of "The Rubáiyát of Omar Khayyám" (). Omar Khayyam: The Rubáiyát of Omar Khayyám / (New York: New Amsterdam Book Co., ), also by Edward FitzGerald (page images at HathiTrust) Omar Khayyam: Rubáiyát of Omar Khayyám / (London: A.
and C. Black, ), also by Reynold Alleyne Nicholson and Edward FitzGerald, illust. by Gilbert James (page images at HathiTrust; US access only). I have more editions of the Rubáiyát of Omar Khayyám than any other book. I mainly buy new (to me, that is, as most of them are second-hand volumes) editions based upon either the quality of a book as an artefact, or due to the illustrations.4/5(25).
Dec 13, · This magnificent version of The Rubáiyát of Omar Khayyám reproduces the edition published by Hodder & Stoughton of London inin which the timeless poems are accompanied by full-color images by Golden Age illustrator Edmund Dulac.
Critics and collectors have long debated which book represents the peak of Dulac's career, and many agree Brand: Dover Publications. Omar Khayyam (/ k aɪ ˈ j ɑː m /; Persian: عمر خیّام  [oˈmæɾ xæjˈjɒːm]; 18 May – 4 December ) was a Persian mathematician, astronomer, philosopher, and poet.
He was born in Nishabur, in northeastern Iran, and spent most of his life near the court of the Karakhanid and Seljuq rulers in the period which witnessed the First dirkbraeckmanvenice2017.com: 18 MayNishapur, Khorasan (present-day Iran).
The Rubaiyat of Omar Khayyam presents an interesting challenge to any reader trying to sort through its heavy symbolism and not-so-obvious theme. Not only does the poem provide us with a compelling surface story, but a second look at the text can reveal a rich collection of seperate meanings hidden in the poem's objective descriptions.
Complete summary of Edward FitzGerald's Rubáiyát of Omar Khayyám. eNotes plot summaries cover all the significant action of Rubáiyát of Omar Khayyám. in the wilderness along with a book. The Rubáiyát of Omar Khayyám holds a unique place in English literature.
A sensation of the Victorian age, it remains one of the best-loved poems in English. It was born of an encounter between two minds across seven centuries, when the reclusive Victorian scholar Edward FitzGerald translated a set of verses attributed to the 12th-century Persian poet Omar Khayyám.Note: Citations are based on reference standards.
However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.This book fills a gap by providing a new selection and description of almost editions of the world-famous Persian quatrains: The Rubáiyát of Omar Khayyám.
This is the first bibliography since the first Rubáiyát bibliography by A.G. Potter, published in Omar Khayyám lived in the 11th Century. A Persian homo universalis, he was a mathematician, scientist, philosopher, astronomer.
dirkbraeckmanvenice2017.com - Rubáiyát of Omar Khayyám book © 2020

redpajama_set_name: RedPajamaCommonCrawl


text:
NIL deals are replacing the old NCAA servitude system | Commentary
By Fred Grimm
South Florida Sun Sentinel
State Rep. Chip LaMarca, R-Lighthouse Point, seen here in a 2018 meeting with the Sun Sentinel Editorial Board, has been the driving force in Tallahassee on laws regulating "name, image and likeness," or NIL, through which college athletes can be paid for endorsements and advertising. (Susan Stocker / Sun Sentinel)
A dozen years ago, NCAA investigators were in hot pursuit of University of Miami athletes suspected of accepting forbidden swag from a rogue booster.
Their case was based on allegations made by that same booster, Nevin Shapiro, who figured that if he provided the NCAA enough info to incriminate UM players, albeit for the very infractions he had instigated, federal prosecutors might go easy on his unrelated Ponzi scheme conviction.
Sure, Shapiro had defrauded investors out of $930 million, but these diabolical college jocks had violated the NCAA's sacred doctrine of amateurism. When Shapiro slipped hundred-dollar bills to athletes from South Florida's poorest ZIP codes, they pocketed the money. They should have known that only adults associated with collegiate sports were allowed to cash in.
To buttress accusations that these college athletes had accepted "impermissible benefits," the NCAA happily accepted the word of an infamous fraudster whose deceptions had cost retirees their life savings. The NCAA demonstrated just how low it would go to protect a business plan based on unpaid labor.
But a decade later, the U.S. Supreme Court decided that NCAA's usurpation of athletes' economic rights was no more legal than Nevin Shapiro's Ponzi.
Supreme Court Justice Brett M. Kavanaugh delivered the shocking news. "The NCAA is not above the law."
South Florida Sun Sentinel columnist Fred Grimm. Rolando Otero, South Florida Sun Sentinel (Rolando Otero / Sun Sentinel)
In an opinion that upended the NCAA's long-held assumption that its charter trumped the U.S. Constitution, Justice Kavanaugh wrote, "The NCAA couches its arguments for not paying student athletes in innocuous labels. But the labels cannot disguise the reality: The NCAA's business model would be flatly illegal in almost any other industry in America."
Of course, colleges still don't pay athletes whose brawn and artistry generate $12 billion a year in TV contracts and ticket sales. But, with the lawsuits looming, the NCAA finally conceded that athletes at least have a right to revenue generated by their own personal renown.
The Florida Legislature made our state the second in the nation to codify those rights — with certain restrictions. Unhappily, other states either passed more permissive laws or left the rules for NIL (name, image and likeness) contracts up to individual schools.
And the specter of "impermissible benefits" has been replaced by "competitive disadvantages." Florida's college football and basketball coaches complain that the state's NIL law has given rival colleges in less restrictive states a recruiting advantage. (Which may be true, but it's hard to fathom after the Florida sports media reported last week that a prized football recruit from California might not honor his commitment to the University of Florida despite an $11 million NIL marketing deal. This is the same kid who walked away from a $9.5 million agreement with a NIL consortium aligned with the University of Miami two months ago.)
On Tuesday, Rep. Chip LaMarca introduced a bill that would loosen restrictions, allowing colleges and their respective booster "collectives" to both advise and help athletes negotiate NIL deals.
Last year, college athletes collected $917 million from endorsements and paid personal appearances and as social media influencers. (About 37% of the money went to women athletes.)
Seems like a mighty change. But maybe not. "There was a lot of NIL deals going on before all this was going on," Texas A&M (and former Florida State) football coach Jimbo Fisher told ESPN broadcaster Paul Finebaum in 2021. "They just weren't legal. No one told nobody."
The NCAA's continued opposition to outright pay for athletes creates another complication in the NIL era. What about the hard-working non-stars on college teams who've not been offered deals? The inequities can't be great for team morale.
One thing for sure: The modern-day, utterly ineffectual NCAA won't solve the compensation problems. No more than it will stop the dismantling of athletic conferences as big money schools abandon traditional rivalries in pursuit of even bigger money.
In retrospect, the transgressions that the NCAA hung on UM in 2011 seem downright petty compared to the NIL deals brokered by modern-day athletes. Nevin Shapiro reportedly had lavished about $170,000 in gifts and money on 72 UM athletes, hoping to entice them into signing on with his fledging sports agency.
Nowadays, that amounts to chump change.
By the way, the judge presiding over Shapiro's Ponzi case wasn't much impressed by the NCAA investigator who testified on his behalf in federal court. Not even when she suggested that once he's out of prison, the grateful NCAA might hire Shapiro as a motivational speaker.
He was sentenced to 20 years but was granted early release in 2020 amid the pandemic. Just in time. Lately, the NCAA seems in dire need of motivation.
Fred Grimm, a longtime resident of Fort Lauderdale, has worked as a journalist in South Florida since 1976.


text:
Souleymane Diop Cissokho (born 4 July 1991) is a Senegal-born French professional boxer. As an amateur he won a bronze medal at the 2016 Summer Olympics.

Professional boxing record

References

External links

1991 births
Living people
French male boxers
Olympic boxers of France
Boxers at the 2016 Summer Olympics
Medalists at the 2016 Summer Olympics
Olympic bronze medalists for France
Olympic medalists in boxing
European Games competitors for France
Boxers at the 2015 European Games
Welterweight boxers
Light-middleweight boxers
Sportspeople from Dakar


text:
Q: What do the conics $x^2=-1$ and $0=1$ correspond to in $P_{\mathbb{R}}^2$? I read this in Reid's book Undergraduate Algebraic Geometry. I don't even know whether my question is worded correctly. It says "In a suitable coordinate system, any conic in $P_{\mathbb{R}}^2$ is one of the following":
$$(1)\quad \text{nondegenerate conic: }X^2+Y^2-Z^2=0$$
$$(2)\quad \text{empty set: }X^2+Y^2+Z^2=0$$
$$(3)\quad \text{line pair: }X^2-Y^2=0$$
$$(4)\quad \text{one point $(0,0,1)$: }X^2+Y^2=0$$
$$(5)\quad \text{double line: }X^2=0$$
It then asks to compare with them the cases in $\mathbb{R}^2$. I am pretty sure that the ellipse, parabola, and hyperbola are corresponding to case (1).
$x^2+y^2=0$ corresponds to $X^2+Y^2=0, Z=1$, so case (4).
$x^2+y^2=-1$ corresponds to $X^2+Y^2+Z^2=0$, so case (2).
For $x^2=-1$, I can write it as $X^2+Z^2=0$. What does that correspond to? It seems like the Y axis in the plane $Z=0$. Is it the one point case? It is then a point at infinity, is it right?
For $0=-1$, is it $Z=0$ or $Z^2=0$? So double line, case (5)? Is it the line contains all points at infinity? Thank you very much for your help!

A: $x^2=-1$ is a conjugate complex pair of lines, namely $x=\pm i$. They intersect at the point at infinity in the $y$ direction, i.e. have the real point $(0,1,0)$ in common. Projectively speaking, $X^2+Z^2=0$ is no different from $X^2+Y^2=0$, so they both are $(4)$. But in $\mathbb R^2$ the two situations are distinct since you don't "see" the solution at infinity there. In $\mathbb R^2$ would "look" like an empty set again.
$0=-1$ is certainly the empty set, but the projective formulation $Z^2=0$ describes the double line at infinity, so that's case $(5)$ again.

redpajama_set_name: RedPajamaStackExchange


Our most recent obsession here at Refinery29 is most likely pretty obvious to you personally right now: we can not get enough of pastel tresses. So, when Diana and Everdeen, two R29ers, approached united states and indicated desire for taking the pastel plunge, we jumped on possiblity to place them touching star colorist Lena Ott of the salon Suite Caroline. Ott is known for creating vibrant, rainbow-inspired hair colors, making the woman the perfect person for the job.
But, as we anxiously awaited your day whenever Diana and Everdeen would go blue and purple, respectively, an appealing direction emerged: the unique challenges this sort of beauty trend presents per of them, as an Asian United states girl and a black Latina. Because locks must be really light for pastel color showing, their particular manes will have to be bleached. That isn't without its dangers; bleached locks are dried out and vunerable to damage.
On another level, this sort of tresses color can be very filled. For many, the tone of the hair is associated with racial identification. So, so what does it indicate to alter it to one thing therefore unnatural?
In the end, Diana and Everdeen were left with more than just a fresh 'do. They forced the boundaries of one's own convenience amounts and explored what their particular identities indicate into the framework of the appearances. Forward, stunning pictures of their brand-new 'dos and thought-provoking essays that explore the relationship between battle and locks shade.
Such as this post? There's more. Get a great deal of beauty tips, tutorials, and development on Refinery29 Beauty Twitter page!


Quality is the statement that is associated with us since our setting up because we supply on genuine and premium quality of beautiful jewelry. You can choose your preferred design out of our whole host options of design and sample. Our assortment has attributes that can make the wearer stunning, smart and fashionable. The procured products are first experienced in our in-house quality checking section on parameters such as blueprint, luster, rigidity, cuts, polish & finish. This strict quality testing is to ensure that the variety is in observation with the global excellence standards.
Our professionals make use of quality silver to make sure outstanding quality in the obtainable range of products. We have also prearranged quality organizers who accomplish severe checks on our variety of Jewellery.
Being customer-oriented business, we make sure that they must be fulfilled in the excellent possible way. We guarantee that high quality products must be delivered to clients in opportune manner, customization facility is obtainable by keeping in mind diverse needs and demands of clients. Our team affiliate checks the quality of products based on their cease, color, quality, outline, softness and weight. We trail moral and transparent business dealings, as we not at all try to deceive the customers with an aim to earn utmost profit.
Our collected works has the whole thing whether traditional or contemporary to convince clients with dissimilar tastes. In addition, for the expediency of our customers we present them easy modes of payment along with excellent customization flair.


text:
Shelby warns Iraq pullout would add power to Iran
By Stan Diel
A premature withdrawal of U.S. troops from Iraq almost certainly will embolden and shift power toward Iran, a Muslim country with fundamentalist leadership and an appetite for nuclear weapons, Sen. Richard Shelby, R-Ala., said Wednesday.
Shelby, speaking at a Rotary club meeting in downtown Birmingham, conceded that the Bush administration has made mistakes in Iraq, but said he opposes calls to bring U.S. troops home immediately.
"Iran will be the big winner" if the United States withdraws, he said. "It will change the political equilibrium of the whole area."
Shelby said that in 1998 he met with Abdul Qadeer Khan, the father of Pakistan's nuclear program. Shelby, who at the time was chairman of the U.S. Senate Select Committee on Intelligence, said he asked Khan how long it would be before Iran had nuclear weapons. Khan told him Iran could join the world's nuclear powers in as few as a dozen years.
"That was nine years ago," Shelby said.
In 2004, Pakistani officials determined that Khan and another senior Pakistani scientist, Mohammed Farooq, were secretly providing nuclear technology to Iran, both directly and through a black market based in Dubai.
Shelby also said Wednesday he voted against a Senate resolution opposing President Bush's plan to increase troop levels in Iraq because Democrats routinely opposed measures supported by Republicans.
"It sounds childish, but this is hardball politics," he said.
The Senate resolution was defeated Saturday. The senator said Americans should brace themselves for a long fight, even if troops come home from Iraq quickly. The West likely will be fighting Islamic fundamentalists for 50 to 100 years, he said.
As for the fight in Iraq, Shelby said Gen. David H. Petraeus, the commander of U.S. forces there, told him it will become clear within six or seven months whether the increased number of troops ordered by Bush will be enough to stabilize Baghdad.
Speaking to a room full of business and academic leaders and elected officials, Shelby also touched on immigration, health care and the economy.
He opposes amnesty for illegal immigrants and a universal heath care system, he said. He said Alabama's economy is the strongest it's been "in 50 years. Maybe ever."
Research done at the University of Alabama at Birmingham is part of Birmingham's economic engine, he said, and it's helping the state establish a positive image nationwide.
Share This: https://www.shelby.senate.gov/public/index.cfm/2007/2/<b>-shelby-warns-iraq-pullout-would-add-power-to-iran-</b>


Taranaki isn't known for its wine production, but it's well worth calling into this beautiful venue on Surf Highway 45. Just a 15-minute drive south of New Plymouth, it's hard to beat the location – large windows and a generous deck surrounding the cellar door and restaurant make the most of the uninterrupted panoramic views across the Tasman Sea to the Sugar Loaf Islands.
The wines served in the restaurant under the Okurukuru label are made from grapes grown in various locations: the pinotage and Okurukuru Taranaki Pinotage Blush are made from fruit grown on the home vineyard; the methode traditionnelle, riesling and sauvignon blanc are made from fruits grown in Marlborough; and the chardonnay from Gisborne grapes.
The delicate pinotage, made from home block grapes, has lovely cherry and red-berry aromas.
Head chef Sohnke Danger offers hearty lunch and dinner options, plus a degustation menu for special occasions (book in advance).


text:
Ternova (în ) este o comună în raionul Dunaiivți, regiunea Hmelnîțkîi, Ucraina, formată din satele Harîtonivka și Ternova (reședința).

Demografie

Conform recensământului din 2001, majoritatea populației comunei Ternova era vorbitoare de ucraineană (%), existând în minoritate și vorbitori de alte limbi.

Note

Ternova
Ternova, Dunaiivtți
Ternova, Dunaiivtți, Hmelniîtțkiîi


But then the fastest dino runs way. And the dino with the longest tail starts to wail. Something also goes wrong with the softest dino, and the smallest dino, and the scariest dino too. What will happen when there are no more dinos left at the Dino Pet Shop? Siiiiiigh! Grooooooan! The boy's alone. Or is he? In addition to the fanciful fiction story, this book includes nonfiction "dino facts" in the back—telling what really were the biggest, fastest, scariest dinos and more!
"Dinosaur lovers' imaginations soar with this inventive flight of fancy from Plourde. A very lucky little boy just happens to have a Dino Pets store in his town . . . and parents willing to own a dinosaur . . . The rhyming text and Kendall's wonderfully creative illustrations will keep young readers riveted, while even the most avid dinosaur fans will likely learn something new, as very few of these are commonly known. The final pages name the dinosaurs featured in the text, with the caveat that paleontologists learn more each day and the longest, softest, etc. may change in the future. A great one to pair with Bernard Most's work, dinosaur fans will revel in the possibilities."
"A great read aloud for beginning readers. The book is predictable and makes a great use of rhymes. The illustrator Gideon Kendall did a great job conveying the size of dinosaurs while at the same time making them seem very friendly."
"The highlight of the tale is the skillfully rendered and entertaining double-page artwork, which is similar in tone and appearance to Mark Teague's illustrations in Jane Yolen's "How Do Dinosaurs" books . . . (T)he subject matter and humorous art will appeal to children."


text:
Homefacebook
Facebook WhatsApp and Instagram were down issue
Facebook, WhatsApp, Instagram down Social media users from all over the world had to face a lot of trouble due to the problem facing WhatsApp, Facebook, and Instagram on Friday night 19 March.
Social media users from all over the world had to face a lot of trouble due to the problem faced by WhatsApp, Facebook, and Instagram on Friday night i.e. March 19. Instant messaging apps WhatsApp, Facebook (Facebook), and photo-sharing platform Instagram (Instagram) users faced trouble for about 45 minutes to 1 hour. From around 10.45 pm, many users complained of trouble. This problem was around 1140 AM.
Learn what the company said?
Now Facebook-owned company WhatsApp, the company has issued an official statement when Instagram is down. Facebook has called it a technical issue. A Facebook spokesperson told the media that 'on March 19, due to a technical glitch, users were having trouble accessing some of Facebook's services. We have fixed this problem for everyone and we are sorry for this inconvenience. So WhatsApp said in its tweet that 'Thank you for your patience! It was 45 minutes long but we are back. At the same time, Instagram said on its official Twitter account, 'Some people were already facing problems with their Instagram accounts, but now we are back. This problem has been fixed and we are sorry for the trouble.
According to the report of the down editor, disturbances in these three popular social media platforms in India started at 10:40 am last night. According to reports, WhatsApp users were unable to send and receive messages for more than an hour due to this issue. At the same time, WhatsApp said that its services were down for only 49 minutes.
Tags facebook instagram Trends whatsapp


text:
Filter by: Digital | Innovation | Patient safety | Quality improvement | Research and evaluation | Transforming systems and services | West of England AHSN news
12 stories of Christmas
It's been a huge year across the West of England and the national AHSN Network. Here are some of our favourite bits of news and opinion from the last 12 months. Supporting healthcare innovators across the West of England Our 2019 cohort of our Health Innovation Programme, a four day personal development course for healthcare…
Evidence based projects put into practice across West of England
Two new evidence-based programmes are to be rolled out across the West of England. Following our 'Evidence into Practice' Call in March we're delighted to announce two new adoption and spread projects. The first project is SHarED (Supporting High impact users to Emergency Departments), which has been developed by University Hospitals Bristol Emergency Department. The…
Another successful year for the West of England Health Innovation Programme (HIP)
This month, 15 fantastic delegates, with a diverse range of innovations, became the HIPsters of class October 2019 on our Health Innovation Programme (HIP). Just in case you hadn't heard already… The West of England HIP is a four-day personal development course for innovators developing healthcare solutions. The HIP has been a huge success over…
ReSPECT rolls out across Bristol, Somerset and Gloucestershire
Today (Thursday 10 October), patients across the Bristol, North Somerset and South Gloucestershire Clinical Commisioning Group (BNSSG CCG) and Gloucestershire CCG areas will begin conversations with their clinicians and health care professionals to identify their own care and treatment preferences. It is likely that these discussions and decisions will be recorded using a new purple…
Evidence-informed update to Emergency Department safety checklist toolkit
Evidence from NIHR CLAHRC West's evaluation of the use of the Emergency Department (ED) Safety Checklist in hospitals in the West of England has been used to update the national toolkit. The toolkit, developed and hosted by the West of England AHSN, supports ED staff who are implementing the Safety Checklist. Hospital trusts have been…
AHSN Network publishes report celebrating diversity
The AHSN Network has published a new report celebrating diversity across the Network, and setting out pledges to support diversity more.


text:
Greece launches tender for Hellenic Petroleum privatization
Greece launched an international tender on Wednesday (18 April) to sell a majority stake in its biggest oil refiner, Hellenic Petroleum, as agreed under its third international bailout.
The Greek privatization agency said at least 50.1% of Hellenic Petroleum will be sold, in one of the biggest asset sales under Athens' privatization scheme launched in 2010, and interested investors must submit expressions of interest by 18 May.
In the tender document published on its website, the privatization agency said the sale will be an all-cash transaction.
Major shareholders Paneuropean Oil and Industrial Holding and the Greek government agreed this month to divest at least 50.1% of Hellenic, which is Europe's third biggest oil refiner based on its market value of €2.6 billion.
The exact size of the stakes to be sold will not be disclosed until short-listed investors are invited to submit binding offers, the agency said.
Paneuropean Oil owns 45.5% of Hellenic and the Greek government holds a 35.5% stake.
Suitors need to have at least three years of experience in the oil and gas industry, while in the case of a consortium, at least one member must meet this requirement.
Asset sales have been a pillar of Greece's three international bailouts since 2010 and progress in key privatizations, including Hellenic Petroleum, will determine whether Athens can meet its bailout target to raise €2 billion from the scheme this year.
Another big ticket item is the sale of a majority stake in the country's gas grid DESFA. Athens on Monday asked a consortium led by Italy's Snam, the highest bidder, to further improve its offer.
The consortium is expected to decide on its bid by Thursday when the privatization agency's board is due to meet, a source close to the process told Reuters on Wednesday.
hellenic petroleum
paneuropean oil and industrial holding


text:
Secrets of Foreign Policy
V.I. Lenin
Published in Pravda No. 53, May 23 (10), 1917.
Mandate to Deputies of the Soviet Elected at Factories and Regiments
Written before May 7 (20), 1917.
An Unfortunate Document
Published in Pravda No. 47, May 16 (3), 1917.
Defence of Imperialism Cloaked with Deceptive Phrases
That is what the proclamation of the Executive Committee of the Petrograd Soviet to the socialists of the world, published in today's papers, amounts to. It has a lot to say against imperialism, but all these words are nullified by a single little phrase which reads:
"The Provisional Government of revolutionary Russia has adopted this platform" (i.e., peace without annexations and indemnities on the basis of self-determination of nations).
Finland and Russia
Social-Chauvinists and Internationalists
Published in Pravda No. 44, May 12 (April 29), 1917.
A Turn in World Politics
Written in January 1917, Lenin analyses the cynical imperialist manoeuvres behind World War One and puts forward the proletarian revolutionary alternative as the only way out of the impasse for the working class.


text:
\section{Introduction}

\noindent An interesting prediction of relativistic quantum mechanics is the possibility of having processes whereby the neutral vacuum of quantum electrodynamics (QED) becomes unstable, inducing  emission of positrons~(see, for instance, Ref.~\cite{Greiner} and references therein). In this way the normal  neutral vacuum decays into a charged vacuum. This process, in spite of many efforts, however, has not yet been observed because it requires a Coulomb potential generated by a nucleus with a charge bigger than $Z=137$. The collapse of the neutral vacuum is triggered by the diving of bound states into the Dirac sea, the negative energy continuum states. If such a situation occurs, the dived state becomes degenerate with the occupied negative energy electron states of the sea and one of these electrons may occupy the new state, leaving a hole, i.e. a positron, that escapes while the electron remains near the source of the potential.

Going into a completely new scenario, the physics of graphene an other Dirac-Weyl type of materials, where a linear ``relativistic'' dispersion relations appears at low energies~(see Ref.~\cite{vafek} for a recent review), we may use this picture to discuss, for example, the huge peaks in longitudinal conductivity of graphene doped with external impurities as calcium atoms~\cite{experiment}. More recently, it has been observed that a single-atom vacancy in graphene can host a
local charge, which can be gradually built up by applying voltage pulses with the tip of a scanning tunnelling microscope till it reaches a supercritical regime~\cite{experiment2}. This happens because in these materials, particularly graphene, where electrons move in a two-dimensional manifold, the scale is set by the Fermi velocity $v_F$ which is around 300 times slower than the speed of light in vacuum $c$. Hence, we expect the ``relativistic'' effects  to be enhanced by the same factor.

The problem of atomic collapse by electric impurities in graphene  has been discussed by many authors in the past~\cite{otros,katsnelson,castroneto,gusynin}. The setup of the problem is the (2+1)-dimensional Dirac equation in a Coulomb potential $V(r)\sim -1/r$. Bound states are found and then, the key observation is that the energy of the ground state becomes a purely imaginary number when a critical value for the charge of the impurity is reached. Atomic collapse has been discussed for the Dirac equation for the case of short-range potentials in the form of $\delta$-functions~\cite{marcelo,marcelo2}. For a 3-dimensional spherical $\delta$-potential~\cite{marcelo}, conditions for the wave functions to reach the critical state, namely, the parameters which dive the ground state to the continuum are discussed. As opposed to the spherical case, for a cylindrical $\delta$-potential~\cite{marcelo2}, which allows a reduction to (2+1)-dimensions, the critical state cannot be reached due to the lack of support of the potential. In this work, we present a new perspective to the atomic collapse induced by a long-range electric monopole impurity. Using the ideas of supersymmetric quantum mechanics (SUSY-QM), we are able to show, in a quite natural way,  that the atomic collapse is related to lost of unitarity, as expected. In fact, we introduce a rotation operator that allows us to decouple the radial Dirac equation obeyed by the pseudo-spinor in the presence of an external spherically symmetric potential induced by external charges. The emerging system can be cast in the form of a supersymmetric pair. This construction is not possible anymore when the effective charge becomes bigger than a certain critical value which agrees with previous results in the literature.

We further extend our framework to the case of graphene in a magnetic monopole impurity, first considered in Ref.~\cite{indios}. The Dirac equation in this  case, properly factorized, corresponds to a supersymmetric pair with magnetic Coulomb potentials~\cite{david}. Nevertheless, in this case, atomic collapse is not realized. Such an observation is in agreement with the classical statement that magnetic fields do not exert work on charged particle systems. The remaining of the article is organized as follows: In Sect.~\ref{sec:susy}, we briefly remind the reader the basics of SUSY-QM. Sect.~\ref{sec:impurities} presents a detailed analysis of the problem of graphene in electric and magnetic monopole impurities. We  finally discuss our findings and present our conclusions in Sect.~\ref{sec:conclu}. Further details of the calculation are presented in an appendix.

\section{Brief survey on supersymmetric quantum mechanics}~\label{sec:susy}

Supersymmetric quantum mechanics, or SUSY-QM, is a framework which relates the spectrum and wave functions of two quantum mechanical systems whose Hamiltonians contain the potentials $V_1$ and $V_2$ related in a specific manner we describe below~\cite{review,gamboa}. For a particle of mass $m$ under the influence of the a one-dimensional potential $V_1(x)$, in units where $\hbar=2m=1$, let us consider the Hamiltonian
\begin{equation}
H_1=-\frac{d^2}{dx^2}+V_1(x)\;,
\end{equation}
which can be factorized in the form
\begin{equation}
H_1=A^\dagger(x)A(x)\;,
\end{equation}
where the operators $A(x)$ and $A^\dagger(x)$ are
\begin{equation}
A(x)=\frac{d}{dx}+W(x)\;,\qquad
A^\dagger(x)=-\frac{d}{dx}+W(x)\;.\label{AAdag}
\end{equation}
Here, $W(x)$ is referred to as the super-potential, and is related to the original potential $V_1(x)$ through the Riccati equation
\begin{equation}
V_1(x)=W^2(x)-W'(x)\;,
\end{equation}
where the prime denotes derivative with respect to $x$.  The superpartner of $H_1$ is a second Hamiltonian expressed in terms of a potential $V_2(x)$,
\begin{eqnarray}
H_
&=& -\frac{d^2}{dx^2}+V_2(x)\;,
\end{eqnarray}
and is  such  that it can be factorized as
\begin{eqnarray}
H_2&=&A(x)A^\dagger(x) \;,
\end{eqnarray}
where the superpartner potential $V_2(x)$ is related to the superpotential $W(x)$ through
\begin{equation}
V_2(x)=W^2(x)+W'(x)\;.
\end{equation}
From the stationary Schr\"odinger equations,
\begin{eqnarray}
H_1\psi^{(1)}_n(x) &=& A^\dagger(x)A(x)\psi^{(1)}_n(x) \ = \ E_n^{(1)} \psi^{(1)}_n(x) \;,\label{Schh1}\\
H_2\psi^{(2)}_n(x) &=& A(x)A^\dagger(x)\psi^{(2)}_n(x) \ = \ E_n^{(2)} \psi^{(2)}_n(x)\label{Schh2} \;,
\end{eqnarray}
we observe that
\begin{equation}
H_2 (A(x)\psi_n^{(1)}(x))= A(x)A^\dagger(x)A(x)\psi_n^{(1)}(x) = E_n^{(1)}(A(x)\psi_n^{(1)}(x))\;,
\end{equation}
and also,
\begin{equation}
H_1 (A^\dagger(x)\psi_n^{(2)}(x))= A^\dagger(x)A(x)A^\dagger(x)\psi_n^{(2)}(x) = E_n^{(2)}(A^\dagger(x)\psi_n^{(2)}(x))\;.
\end{equation}
Assuming the ground state energy $E_0^{(1)}=0$, we have that
\begin{eqnarray}
E_n^{(2)}&=& E_{n+1}^{(1)}\;, \qquad E_0^{(1)}=0\;,\nonumber\\
\psi_n^{(2)}&=& [E_{n+1}^{(1)}]^{-1/2}A(x)\psi_{n+1}^{(1)}(x)\;,\nonumber\\
\psi_{n+1}^{(1)}&=& [E_{n}^{(2)}]^{-1/2}A^\dagger(x)\psi_{n}^{(2)}(x)\;,
\end{eqnarray}
namely, $H_1$ and $H_2$ are isospectral up to one less bound state which $H_2$ does not have~\cite{review}.

The above quantum mechanical pair of Hamiltonians can be treated simultaneously in an operator form. Defining the extended Hamiltonian
\begin{equation}
\mathbb{H}=\left(
\begin{array}{cc} H_1 & 0 \\  0 & H_2\end{array}
 \right) \;,
\end{equation}
and the {\em supercharges}
\begin{equation}
Q(x)=\left( \begin{array}{cc} 0 & 0 \\ A(x) & 0\end{array}
 \right)\;, \qquad
Q^\dagger(x)=\left(\begin{array}{cc} 0 & A^\dagger(x) \\ 0 & 0\end{array}
 \right)\;, \label{supercharge}
\end{equation}
with $A(x)$ and $A^\dagger(x)$ defined in Eq.~(\ref{AAdag}), the supersymmetric pair is defined in a compact form through the algebra
\begin{eqnarray}
\{ Q(x),Q(x)\} = \{ Q^\dagger(x),Q^\dagger(x)\}= 0,\nonumber\\
 \{ Q(x),Q^\dagger(x)\} = \mathbb{H}\;,\nonumber\\
\left[ Q(x),\mathbb{H} \right] \ =\  \left[ Q^\dagger(x),\mathbb{H} \right] = 0\;.\label{algebra}
\end{eqnarray}

For relativistic particles, massless Dirac equation in two dimensions in a uniform magnetic field perpendicular to the plane of motion of electrons is a typical example of a supersymmetric pair for the upper and lower components of the Dirac spinor~\cite{review,saul}.  Introducing the magnetic field trough minimal coupling, $\boldsymbol{p}\to \boldsymbol{p}+\boldsymbol{A}(\boldsymbol{x})$~\footnote{Here, we are considering $e=1$.}, where $\boldsymbol{A}(\boldsymbol{x})$ is the vector potential giving rise to the magnetic field, $\boldsymbol{B}=\nabla\times\boldsymbol{A}(\boldsymbol{x})$,  the  Dirac Hamiltonian is written as
\begin{equation}
H_D = \boldsymbol{\sigma} \cdot (\boldsymbol{p}-e\boldsymbol{A}(\boldsymbol{x}))\;,\label{hdirac}
\end{equation}
where $\boldsymbol{\sigma}=(\sigma_x,\sigma_y,\sigma_z)$, where the $\sigma_i$ are the Pauli matrices, but we always consider $\boldsymbol{p}=(p_x,p_y,0)$ and $\boldsymbol{A}=(A_x,A_y,0)$ . From the property
\begin{equation}
\left(\boldsymbol{ \sigma}\cdot\boldsymbol{a}\right) \left(\boldsymbol{\sigma}\cdot\boldsymbol{b} \right)=\left(\boldsymbol{a}\cdot\boldsymbol{b} \right)I_{2\times
2}+i\, \boldsymbol{\sigma}\cdot\left( \boldsymbol{a}\times\boldsymbol{b}\right), \label{property}
\end{equation}
we consider the square of the Hamiltonian~(\ref{hdirac})\;,
\begin{eqnarray}
(H_D)^2 &=& [\boldsymbol{\sigma} \cdot (\boldsymbol{p}-e\boldsymbol{A}(\boldsymbol{x}))]^2\nonumber\\
&=& (p_x+A_x(\boldsymbol{x}))^2+(p_y+A_y(\boldsymbol{x}))^2+\frac{g}{2}(\nabla\times A(\boldsymbol{x}))_z \sigma_z\nonumber\\
&\equiv&H_P\;,
\end{eqnarray}
which is precisely the Pauli Hamiltonian~\cite{review,saul} for a particle with giromagnetic ratio $g=2$. To see it explicitly, we introduce the supercharges
\begin{eqnarray}
Q^1(\boldsymbol{x})&=&\frac{1}{\sqrt{2}} \left[-(p_y+A_y(\boldsymbol{x}))\sigma_x +(p_x+A_x(\boldsymbol{x}))\sigma_y\right]\;,\nonumber\\
Q^2(\boldsymbol{x})&=&\frac{1}{\sqrt{2}} \left[(p_x+A_x(\boldsymbol{x}))\sigma_x +(p_y+A_y(\boldsymbol{x}))\sigma_y\right]\;.
\end{eqnarray}
Then, it is easy to verify that
\begin{eqnarray}
\{Q^\alpha(\boldsymbol{x}), Q^\beta(\boldsymbol{x})\} = H_P\delta^{\alpha\beta}\;, \qquad [H_P,Q^\alpha(\boldsymbol{x})]=0\;,
\end{eqnarray}
for $\alpha,\beta = 1,2$.
With this framework, we address the problem of Dirac equation with monopole impurities below.

\section{Electric and Magnetic monopole impurities in graphene}~\label{sec:impurities}

We start our discussion of the
Dirac equation for graphene in stationary, but otherwise arbitrary electromagnetic field, namely
\begin{eqnarray}
\Big(v_{F}{\boldsymbol{\sigma}}\cdot\left(\boldsymbol{p}-e\boldsymbol{A}(\boldsymbol{x})\right)+\Delta v_{F}^2\sigma_z +V(\boldsymbol{x})-E\Big)\Psi\left(\boldsymbol{x}\right) &=&0\;,\label{eq:dirac}
\end{eqnarray}
where $v_F$ is the Fermi velocity and $\Delta$ is the mass gap for charge carriers, $V(\boldsymbol{x})$ represents the scalar potential, $\boldsymbol{A}(\boldsymbol{x})$ the vector potential.
For general configurations of electromagnetic fields, it is not obvious than the Hamiltonian in Eq.~(\ref{eq:dirac}) can be factorized in a supersymmetric fahsion. It surely shall be the case for the examples we discuss in the remaining of the article.
Considering isotropic potentials, $V(\boldsymbol{x})=V(r)$ and $\boldsymbol{A}(\boldsymbol{x})=A_r(r)\hat{r}+A_{\theta}(r)\hat{\theta}$, where $\hat{r}$ and $\hat{\theta}$ are the unitary vectors of the polar coordinates $(r,\theta)$ of the system, from the relation
 $\left( \boldsymbol{\sigma}\cdot\hat{r}\right)^2=I_{2\times 2}$ and the property in Eq.~(\ref{property}),
we re-write the Dirac equation as
\begin{eqnarray}
\Bigg(-i\,\left( \boldsymbol{\sigma}\cdot\hat{r}\right)\Big[\frac{d}{dr}+i\,\frac{A_r(r)}{2\Phi_b}-\sigma_z\left(\frac{L_z}{\hbar r}+\frac{A_{\theta}(r)}{2\Phi_b}  \right)\Big]\nonumber\\
 +\frac{\sigma_z}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}} + \frac{V(r)}{v_F\hbar}-\epsilon \Bigg)\Psi\left( r,\theta\right) =0,\label{col3}
\end{eqnarray}
where $L_z$ is the third component of the angular momentum vector $\boldsymbol{L}=\boldsymbol{r}\times\boldsymbol{p}$ and we have introduced the shorthand notation $\epsilon=E/(v_F\hbar)$ for the scaled energy, $n_g=c/v_F\approx 300$ is the inverse refractive index, ${\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}=\hbar/(\Delta c)$ is the reduced Compton wavelength and
$\Phi_b=\hbar/(2e)=\Phi_0/(2\pi)$, where $\Phi_0$ is the quantum fluxon. Expectedly~\cite{librokatsnelson}, the wave function
$\Psi\left( r,\theta\right)$ is an eigenfunction of the operator $L_z\equiv-id/d\theta$, namely
 of the form $\Psi\left( r,\theta\right)=\psi_l(r)e^{il\theta}$,  with eigenvalues $l\in \mathbb{Z} $. Nevertheless, $\boldsymbol{L}$ is not a conserved quantity. The total angular momentum
$\boldsymbol{J}=\boldsymbol{L}+\boldsymbol{S}$ --where $\boldsymbol{S}$ is the pseudospin operator in this context-- is conserved, and $\Psi(r,\theta)$ is an eigenfunction of the operator $J_z$, namely
\begin{equation}
\Psi(r,\theta)\mapsto \Psi_j(r,\theta): \qquad J_z\Psi_j\left( r,\theta\right)=j\hbar\Psi_j\left( r,\theta\right)\;,
\end{equation}
with $j \in \mathbb{Z}$. Thus, we replace $L_z=J_z-S_z=J_z-\frac{\hbar}{2}\sigma_z$ in Eq.~(\ref{col3}) and realize that $l=j\pm\frac{1}{2}$. Then, we can write
\begin{eqnarray}
\Bigg(-i\,\left( \boldsymbol{\sigma}\cdot\hat{r}\right)\Big[\frac{d}{dr}+\frac{1}{2r}+i\,\frac{A_r(r)}{2\Phi_b}-\sigma_z\left(\frac{j}{r}+\frac{A_{\theta}(r)}{2\Phi_b}  \right)\Big] \nonumber\\
+\frac{\sigma_z}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}} + \frac{V(r)}{v_F\hbar}-\epsilon\Bigg)\Psi_j\left( r,\theta\right) =0\;.
\label{col4}
\end{eqnarray}
With the aid of the {\em ansatz}
\begin{eqnarray}
\Psi_j\left( r,\theta\right) &=&\frac{1}{\sqrt{r}}\left(\begin{array}{c}
h_j(r)e^{i\left( j-\frac{1}{2}\right) \theta} \\ i\,g_j(r)e^{i\left( j+\frac{1}{2}\right) \theta}
\end{array}\right) \nonumber\\
& =& \frac{1}{\sqrt{r}}\left(\begin{array}{cc}
e^{i\left( j-\frac{1}{2}\right) \theta}&0\\0&e^{i\left( j+\frac{1}{2}\right) \theta}
\end{array}\right)
\left(\begin{array}{c}
h_j(r)\\i\,g_j(r)
\end{array}\right)\nonumber\\
&\equiv& M_j(\theta)\chi_j(r),
\end{eqnarray}
we rewrite Eq.~(\ref{col4}) as
\begin{eqnarray}
\Bigg(-i\,\left( \boldsymbol{\sigma}\cdot\hat{r}\right)\Big[\frac{d}{dr}+i\,\frac{A_r(r)}{2\Phi_b}-\sigma_z\left(\frac{j}{r}+\frac{A_{\theta}(r)}{2\Phi_b}  \right)\Big]\nonumber\\
 +\frac{\sigma_z}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}} + \frac{V(r)}{v_F\hbar}-\epsilon\Bigg) M_j(\theta)\chi_j(r)=0\;.\label{col5}
\end{eqnarray}
We have factorized the angular dependence of the wave function in the matrix
 $M_j\left( \theta\right) $ which can equivalently be expressed as
\begin{eqnarray}
M_j\left( \theta\right)= \left(\begin{array}{cc}
e^{i\left( j-\frac{1}{2}\right) \theta}&0\\0&e^{i\left( j+\frac{1}{2}\right) \theta}
\end{array}\right)&=&e^{i\left( jI_{2\times 2}-\frac{1}{2}\sigma_z\right) \theta}\;.\label{prop1}
\end{eqnarray}
Then, it is straightforward to verify that $M_j(\theta)$ fulfills the property
\begin{eqnarray}
\left(\boldsymbol{\sigma}\cdot\hat{r}\right)M_j\left( \theta\right)&=&M_j\left( \theta\right)\sigma_x\;. \label{prop4}
\end{eqnarray}
which allows us to write
\begin{eqnarray}
 M_j(\theta)\Bigg(-i\,\Big[\frac{d}{dr}+i\,\frac{A_r(r)}{2\Phi_b}+\sigma_z\left(\frac{j}{r}+\frac{A_{\theta}(r)}{2\Phi_b}  \right)\Big]\sigma_x\nonumber\\
 +\frac{\sigma_z}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}} + \frac{V(r)}{v_F\hbar}-\epsilon\Bigg)\chi_j(r)=0\;.
\end{eqnarray}
Thus, defining
\begin{equation}
V_r(r)\equiv \frac{A_r(r)}{2\Phi_b}\sigma_x+\frac{V(r)}{v_F\hbar}I_{2\times 2},
\end{equation}
we write the radial Dirac equation for graphene as
\begin{eqnarray}
\Bigg(-i\,\Big[\frac{d}{dr}+\sigma_z\left(\frac{j}{r}+\frac{A_{\theta}(r)}{2\Phi_b}  \right)\Big]\sigma_x +\frac{\sigma_z}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}} + V_r(r)-\epsilon\Bigg)\chi_j(r)&=&0\;,
\label{col6}
\end{eqnarray}
Below we consider this equation in the potential produced by electric and magnetic monopole impurities.

\subsection{Electric monopole impurity}

For the electric monopole impurity, we consider the radial Dirac equation~(\ref{col6}) with the Coulomb potential
\begin{equation}
A_r(r)=A_\theta(r)=0,\qquad V_r\left( r\right) =-\frac{Z\alpha_g }{r}\;,
\end{equation}
where $Z\alpha_g$ is the effective charge of the electric impurity and $\alpha_g=\alpha n_g$ is the fine structure constant of graphene.
Then, the radial Dirac equation becomes
\begin{equation}
\underbrace{\left(
\begin{array}{cc}
\frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}+\frac{Z\alpha_g }{r}+\epsilon & \frac{j}{r}-\frac{d}{%
dr} \\
\frac{j}{r}+\frac{d}{dr} & \frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}-\frac{Z\alpha_g }{r}-%
\epsilon%
\end{array}%
\right)}_{\displaystyle{\mathbb{A}}} \left(
\begin{array}{c}
g_j(r) \\
h_j(r)%
\end{array}%
\right)
=0\;.\label{unrotated}
\end{equation}
The $r$-dependence of the diagonal elements of the matrix $\mathbb{A}$ is such that the components $g_j(r)$ and $h_j(r)$ cannot be decoupled; the  $1/r$ term in both elements brings higher inverse powers of $r$ upon derivation. Decoupling of the equations  can be done by properly rotating $\mathbb{A}$ such that the undesired term vanishes from one of the diagonal elements.
Defining the unitary matrix
\begin{equation}
U(\eta )=e^{i\frac{1}{2}\eta \sigma _{y}}\;,\label{transf}
\end{equation}
where the rotation parameter (angle) $\eta$ is defined through
\begin{equation}
\sin \left( \eta \right) =\frac{Z\alpha_g }{j}\;.\label{param}
\end{equation}
Upon defining $\nu^{2}=j^{2}-\left( Z\alpha_g \right) ^{2}$, we observe that
\begin{equation}
U(\eta )\mathbb{A}U^{\dag }\left( \eta \right) =\left(
\begin{array}{cc}
-\frac{\nu }{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}-\epsilon & \frac{Z\alpha_g }{{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}+%
\frac{\nu }{r}-\frac{d}{dr} \\
\frac{Z\alpha_g }{{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}+\frac{\nu }{r}+\frac{d}{dr} & \frac{\nu
}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}-\epsilon-2\frac{Z\alpha_g }{r}%
\end{array}%
\right) \;.
\end{equation}
Observe that only one of the diagonal components of the rotated $\mathbb{A}$ has explicit $r$-dependence. Now, assuming that the radial wave function transforms as
\begin{equation}
U(\eta )\left(
\begin{array}{c}
g_j(r) \\
h_j(r)%
\end{array}%
\right) =\left(
\begin{array}{c}
G_j(r) \\
F_j(r)%
\end{array}%
\right)\;,
\end{equation}
we have that the Dirac equation~(\ref{unrotated}) reduces to
\begin{equation}
\left(
\begin{array}{cc}
-\frac{\nu }{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}-\epsilon & \frac{Z\alpha_g }{{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}+%
\frac{\nu }{r}-\frac{d}{dr} \\
\frac{Z\alpha_g }{{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}+\frac{\nu }{r}+\frac{d}{dr} & \frac{\nu
}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}-\epsilon-2\frac{Z\alpha_g }{r}%
\end{array}%
\right) \left(
\begin{array}{c}
G_j(r) \\
F_j(r)%
\end{array}%
\right) =0\;.
\end{equation}
The coupled system of equations for the unknowns $F_j(r)$ and $G_j(r)$ can be decoupled in the standard manner, say, obtaining one of the unknowns from one of the equations and inserting it into the other.  Proceeding in this form, the Dirac equation is equivalent to the decoupled system of equations
\begin{eqnarray}
\left[ -\frac{d^{2}}{dr^{2}}+\left( \frac{\nu }{r}-\frac{Z\alpha_g \epsilon}{\nu }\right) ^{2}-\frac{d}{dr}\left( \frac{\nu }{r}-\frac{Z\alpha_g
\epsilon}{\nu }\right) \right] G_j(r)&=&\aleph ^{2}G_j(r)\;,\nonumber\\
\left[ -\frac{d^{2}}{dr^{2}}+\left( \frac{\nu }{r}-\frac{Z\alpha_g \epsilon}{\nu }\right) ^{2}
+\frac{d}{dr}\left( \frac{\nu }{r}-\frac{Z\alpha_g \epsilon}{\nu }%
\right) \right] F_j(r)&=&\aleph ^{2}F_j(r)\;,
\label{system}
\end{eqnarray}
with
\begin{eqnarray}
\aleph ^{2}&=&-\left( \frac{Z\alpha_g }{{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} n_g j}\right) ^{2}-\left( \frac{%
\nu }{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} j}\right) ^{2}+\epsilon^{2}+\left( \frac{Z\alpha_g }{%
\nu }\epsilon\right) ^{2}\nonumber\\
&=&\left( \frac{\epsilon j}{\nu }\right)
^{2}-\left( \frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} }\right) ^{2}\;.
\end{eqnarray}
In this paper, we are interested in the decoupled system of equations in the form~(\ref{system}). Nevertheless, as discussed in the appendix, the energy eigenvalues can be obtained by the boundary conditions obtained regularizing the Coulomb potential near the origin. These energy eigenvalues are of the form
\begin{equation}
\epsilon_{n,j}=\left( \frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda} }\right) \left[1+\frac{Z^2\alpha_g^2}{(\nu+n)^2} \right]^{-1/2}\;,
\end{equation}
where $n\in \mathbb{Z}^+$ for $j>0$ and $n\in \mathbb{N}$ otherwise. For the ground state, $n=0$ and $j=1/2$, it is known that there exists a critical value of the charge $Z_{\rm cr}$ such that
\begin{equation}
2Z_{\rm cr} \alpha_g>1\;,
\end{equation}
and thus the ground state is unstable and through the mechanism of {\em fall-into-the-center}, it collapses~\cite{gusynin}. Atomic collapse has also been observed experimentally as peaks on the longitudinal conductivity~\cite{experiment} and enhancement in the local density of states~\cite{experiment2}. Here, we present an alternative view of this phenomenon through the lost of unitarity. For that purpose, we notice that the system of equations~(\ref{system}) has the form of supersymmetric pair. Indeed, defining the superpotential
\begin{equation}
W_\nu(r)=\frac{\nu }{r}-\frac{Z\alpha_g \epsilon}{\nu }\;,\label{superpot}
\end{equation}
we can also define the rising and lowering operators
\begin{equation}
A_\nu(r)=\frac{d}{dr}+W_\nu(r)\;,\qquad A^{\dag }_\nu(r)=-\frac{d}{dr}+W_\nu(r)\;.
\end{equation}
Then, the system of equations is cast in the form
\begin{eqnarray}
A^{\dag }_\nu(r)A_\nu(r)G_j(r)&=&\aleph ^{2}G_j(r)\;,\nonumber\\
A_\nu(r)A^{\dag }_\nu(r)F_j(r)&=&\aleph ^{2}F_j(r)\;,\label{system2}
\end{eqnarray}
where the SUSY-eigenvalue
\begin{equation}
\aleph^2\quad\mapsto \quad\aleph^2_{n,j}=\left(\frac{Z\alpha_g}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}\right)^2 \frac{(\nu+n)^2-\nu^2}{\left[(\nu+\frac{n}{2})^2-\frac{n^2}{4} \right]^2+(Z\alpha_g \nu)^2}\;.
\end{equation}
For the ground state, $\aleph_{0,1/2}=0$ as expected.
In matrix form, the system of Eqs.~(\ref{system2}) can explicitly be written
\begin{eqnarray}
\left(
\begin{array}{cc}
A^{\dag }_\nu(r)A_\nu(r) & 0 \\
0 & A_\nu(r)A^{\dag }_\nu(r)%
\end{array}%
\right) \left(
\begin{array}{c}
G_j(r) \\
F_j(r)%
\end{array}%
\right) &\equiv& \mathbb{H}_e(r) \left(
\begin{array}{c}
G_j(r) \\
F_j(r)%
\end{array}%
\right) \nonumber\\
& =&\aleph^{2}_{n,j}\left(
\begin{array}{c}
G_j(r) \\
F_j(r)%
\end{array}%
\right) \;.
\end{eqnarray}
Defining the supercharge
\begin{equation}
Q_\nu(r)=\left(
\begin{array}{cc}
0 & 0 \\
A_\nu(r) & 0%
\end{array}%
\right) \quad\Rightarrow \quad
Q^\dagger_\nu(r)=\left(
\begin{array}{cc}
0 & A^\dagger_\nu(r) \\
0 & 0%
\end{array}%
\right) \;,
\label{superchargeC}
\end{equation}
we see that the set of operators $\{Q_\nu,Q^\dagger_\nu,\mathbb{H}_e\}$ close the supersymmetric algebra~(\ref{algebra}).

For supercritical states, it is easy to see that $Z_{\rm cr}$ translates to a critical value of  $\nu_c=(1/2)\sqrt{1-(2Z_{cr}\alpha_g)^2}$ (or $\eta_{\rm cr}$ in Eq.~(\ref{transf})) such that   $\nu_c^2$ becomes a negative number and the state collapses. At $Z_{\rm cr}$, the parameter in Eq.~(\ref{param}) for the transformation~(\ref{transf}) is such that
$\sin(\eta_{\rm cr}),\ \cos(\eta_{\rm cr})>1,$
which can be achieved only  if $\eta_{\rm cr}$ is purely imaginary. Hence, the transformation in Eq.~(\ref{transf}) is no longer unitary. Thus, lost of unitarity  in this language is equivalent to the statement of  atomic collapse. Notice that at criticality, the superpotential in Eq.~(\ref{superpot}) becomes a purely imaginary function.

Next, we discuss the problem of graphene in the potential of a magnetic monopole impurity.

\subsection{Magnetic Coulomb impurities in graphene}

Now we consider the problem of a monopole magnetic impurity in graphene described by the potential
\begin{equation}
A_\theta(r)=\lambda\;.
\end{equation}
This problem has been considered in Refs.~\cite{indios} and~\cite{david} considering a sequence of cylindrical dipolar magnets with thickness varying in a manner such that the resulting magnetic field falls as the inverse of the distance.

Defining $\ell_\lambda=2\Phi_b/\lambda$, the radial Dirac equation for the magnetic Coulomb potential is equivalent to the coupled system of equations
\begin{eqnarray}
\left[ \frac{d}{dr}+\left( \frac{j}{r}-\bigskip \frac{1}{\ell _{\lambda }}%
\right) \right] g\left( r\right) &=&\left( \epsilon-\frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}%
\right) h\left( r\right) \;,\nonumber\\
\left[ \frac{d}{dr}-\left( \frac{j}{r}-\bigskip \frac{1}{\ell _{\lambda }}%
\right) \right] h\left( r\right) &=&-\left( \epsilon+\frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}%
\right) g\left( r\right) \;.\label{systemm}
\end{eqnarray}
Defining
\begin{equation}
w^{2}=\epsilon^{2}-\left( \frac{1}{n_g{\mkern0.75mu\mathchar '26\mkern -9.75mu\lambda}}\right) ^{2}\;,
\end{equation}
the system of Eqs.~(\ref{systemm}) can be straightforwardly decoupled (in other words, the unitary matrix that decouples the system is the identity) and the unknown functions verify
\begin{eqnarray}
\left[ -\frac{d^{2}}{dr^{2}}+\left( \frac{j}{r}-\bigskip \frac{1}{%
\ell _{\lambda }}\right) ^{2}+\frac{d}{dr}\bigskip \left( \frac{j}{r}%
-\bigskip \frac{1}{\ell _{\lambda }}\right) \right] h\left( r\right)
&=&w^{2}h\left( r\right) \nonumber\\
\left[ -\frac{d^{2}}{dr^{2}}+\left( \frac{j}{r}-\bigskip \frac{1}{\ell
_{\lambda }}\right) ^{2}-\frac{d}{dr}\bigskip \left( \frac{j}{r}-\bigskip
\frac{1}{\ell _{\lambda }}\right) \right] g\left( r\right) &=&w^{2}g\left(
r\right) \;.\label{sysmag}
\end{eqnarray}
The above system of  Eqs.~(\ref{sysmag}) can be cast in the form of confluent hypergeometric equations with energy eigenvalues (see appendix for further details)~\cite{indios,david}
\begin{equation}
\epsilon_{n,m}=\pm \lambda \sqrt{1-\frac{(2m+1)^2}{(2n-1)^2}}\;,\label{indios}
\end{equation}
with $m\in \mathbb{Z}^+$,  $n\in \mathbb{N}$ and $n>m$. No pair of numbers $(m,n)$ can render these eigenvalues to develop an imaginary part and thus, in this case there is no atomic collapse phenomenon. For the purposes of our analysis, we consider the system of Eqs.~(\ref{sysmag}),  which can be reached without advocating for any rotation whatsoever,  and observe it forms a supersymmetric pair by defining the superpotential
\begin{equation}
W_m(r)=\frac{j}{r}-\bigskip \frac{1}{\ell _{\lambda }}\;.
\end{equation}
With this superpotential, defining the lowering and rising operators as in Eq.~(\ref{AAdag}) and the supercharge as in Eq.~(\ref{supercharge}), by defining the corresponding extended Hamiltonian,
\begin{equation}
\mathbb{H}_m = \left(
\begin{array}{cc}
\left[ -\frac{d^{2}}{dr^{2}}+V_1(r)\right] & 0 \\
0 & \left[ -\frac{d^{2}}{dr^{2}}+V_2(r)\right]
\end{array}
\right)\;,
\end{equation}
where
\begin{equation}
V_{1,2}(r)= W_m^2(r)\pm W_m'(r)\;,
\end{equation}
it is easy to verify that $\{Q(r),Q^\dagger(r),\mathbb{H}_m\}$ close the supersymmetric algebra in Eq.~(\ref{algebra}). We emphasize that the extended Hamiltonian $\mathbb{H}_m$ hence defined is always hermitian.

\section{Concluding remarks}~\label{sec:conclu}

In this article we have explored the Dirac equation for graphene under the influence of monopole impurities, both electric and magnetic. In the former case, factorizing the corresponding Hamiltonian  {\em \'a la} SUSY-QM. In the case of the electric impurity, the problem reduces to the well known example of Dirac equation in the Coulomb potential. It has been established by theoretical calculations and experimental measurements that there exist a critical charge $Z_{\rm cr}$ above which there is a fall-into-the center phenomenon associated with the atomic collapse. Here, we have presented a new look at this phenomenon by realizing that the factorization of the corresponding Hamiltonian in this case looses hermicity at the critical charge, and hence for supercritical states, it no longer preserves probability, which is a statement of the lost of unitarity.
In the SUSY-QM language this manifests through the superpotential which becomes a purely imaginary function.
On the other hand, for the magnetic impurity, regardless factorization, the Hamiltonian is always hermitian. Thus, there is no collapse in this case in agreement with the classical observation that magnetic fields do not exert work, and hence are incapable of dragging the energy of the ground state to the continuum.

\ack
We acknowledge support from CIC-UMSNH (M\'exico) under grant No. 4.22, CONACyT (M\'exico) under grant 256494, FONDECYT (Chile) under Grants 1150847,
 1130056 and 1150471, and Proyecto Basal (Chile) FB 0821. AR and SHO acknowledge the hospitality of PUC, where part of this work was carried out. AR specially acknowledges VRID-PUC for partial support.

redpajama_set_name: RedPajamaArXiv


The Obamas' new dog Bo, a six-month-old Portuguese water dog, seems to have excited a number of the good folks who use Twitter. The French blog 20minutes.fr therefore decided Bo deserved his own Twitter map.
With this Google Map, Bo can now keep up-to-date with what the world is saying about him by following all the Tweets that mention him.


text:
using System;
using System.Collections.Generic;
using System.Linq;
using UnityEngine;

namespace AGXUnity.Utils
{
  public class MeshMerger
  {
    public static MeshMerger Merge( Transform transform, Mesh[] meshes )
    {
      var merger = new MeshMerger( transform );

      foreach ( var mesh in meshes ) {
        var triangles = mesh.triangles;
        var vertices  = mesh.vertices;
        for ( int i = 0; i < triangles.Length; i += 3 )
          merger.Add( vertices[ triangles[ i + 0 ] ],
                      vertices[ triangles[ i + 2 ] ],
                      vertices[ triangles[ i + 1 ] ] );
      }

      return merger;
    }

    private Dictionary<Vector3, int> m_vertexToIndexTable = new Dictionary<Vector3, int>();
    private agx.Vec3Vector m_vertices = new agx.Vec3Vector();
    private agx.UInt32Vector m_indices = new agx.UInt32Vector();

    private Transform m_transform = null;
    private Matrix4x4 m_toWorld = Matrix4x4.identity;

    public agx.Vec3Vector Vertices { get { return m_vertices; } }
    public agx.UInt32Vector Indices { get { return m_indices; } }

    public MeshMerger( Transform transform )
    {
      m_transform = transform;
      m_toWorld = transform.localToWorldMatrix;
    }

    public void Add( Vector3 v1, Vector3 v2, Vector3 v3 )
    {
      Add( v1 );
      Add( v2 );
      Add( v3 );
    }

    private void Add( Vector3 v )
    {
      int index;
      if ( !m_vertexToIndexTable.TryGetValue( v, out index ) ) {
        index = m_vertices.Count;
        m_vertexToIndexTable.Add( v, index );

        m_vertices.Add( m_transform.InverseTransformDirection( m_toWorld * v ).ToHandedVec3() );
      }

      m_indices.Add( Convert.ToUInt32( index ) );
    }
  }
}

redpajama_set_name: RedPajamaGithub


I very much doubt if a Windows 8. The Windows 7 driver will not install under Windows 8. Information and links in this thread may no longer be available or relevant. Having trouble signing in? Post as a guest Name.
If you google the tuner, you should find a Windows 7 driver here. Tablets and Mobile Devices. The model might be different but the issues could be similar.
Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type. Pretv HP Community is here for vixs puretv u 48a3.
Having trouble signing in? Alex R 5 17 Tablets and Mobile Devices. If you have a question create a new topic by clicking hereor click on "Post new question" above and select the appropriate board.
One that can take a Quad core and 8gig RAM and one that tops out with a dual 4a83 and 4 gig. I have no choice but to pull the ViXS card and trash it. Message 3 of 6 1, Views.
This may sound like a dumb question. It comes with Windows Media Center. This there a new driver for win 8. How will we upgrade to Win10 and keep the TV recording function?
There were two versions of the I downloaded it, and ran it, and it gives an error message stating that my sysem did not meet the minimum requirements. I have installed win 8. Microsoft Windows 7 bit.
Post as a guest Name. It seems that this particular tuner was going obsolete. Discussion Boards Open Menu. I've had that same card for about four years now. Message 4 of 6 1, Vixs puretv u 48a3.
I have the same issue. Archived Topics Read Only. I very much doubt if a Windows 8. Having trouble signing in?
Message 3 of 4 2, Views. VIxs pure tv 48b0. Troubleshooting Performance and Lockup Issues.


text:
Assawoman is an unincorporated community in Accomack County, Virginia. Its ZIP code is 23302.

Etymology
The name "Assawoman" denoted a female Indian of the similarly-named tribe. Assawoman was originally known as Assawaman until 1966 when the Board on Geographic Names decided upon its current spelling.

History

Arbuckle Place, situated in Assawoman, was added to the National Register of Historic Places in 1986. Their post office was established in October 1890.

See also
 Assawoman Bay

References

Unincorporated communities in Accomack County, Virginia
Unincorporated communities in Virginia


text:
keane mulready-woods
'A man of peace, a courageous and fearless leader' - Bloody Sunday priest Bishop Edward Daly is laid to rest in Derry
Bishop Edward Daly will be laid to rest after funeral service this afternoon in Derry (Photo by Charles McQuillan/Getty Images)
BY: Reporter
COURAGEOUS Bloody Sunday priest Bishop Edward Daly was a man of heroic generosity, mourners were told at his funeral in Derry this afternoon.
Speaking to the congregation at St Eugene's Cathedral, Chief Celebrant Bishop Donal McKeown paid a personal tribute to the man who had fought for peace through some of the darkest days in Northern Ireland.
Bishop Daly, who died on Monday aged 82, became an symbol for peace during the Troubles when he was photographed on Bloody Sunday waving a white blood-stained handkerchief as he lead a group of people carrying the dead body of 17-year-old Jackie Duddy to safety.
"He showed physical courage on Bloody Sunday and his moral courage was evident in his passionate struggle against violence and injustice from all quarters," Bishop McKeown said.
"It takes enormous courage to be a peacemaker and he was an apostle of mercy, whether as a curate, as a bishop or as chaplain in the Foyle Hospice.
The remains of Bishop Daly are carried from St. Eugene's Cathedral Picture: Charles McQuillan/Getty Images
Recalling the first time they met in 1974 in Rome, Bishop McKeown added: "He asked us to do one thing – he said 'please pray for me'.
"This was not merely a pious expression. Rather they seemed to come from a heart which knew the maelstrom that was Northern Ireland in those awful years.
"He knew about murder and loss. He knew that the years of conflict followed upon decades of terrible poverty and discrimination – as well as heroic generosity.
"He knew the enormous resilience of people who could face almost anything together," current Bishop of Derry Bishop McKeown said.
Bishop Edward Daly pictured in 2010. Picture: Oli Scarff/Getty Images
Over the past week more than 10,000 people visited St Eugene's Cathedral to pay their respects to Bishop Daly, who has served as a priest for the last 59 years.
President of Ireland Michael D Higgins was among the dignitaries who attended his Funeral Mass today, at which a message from Pope Francis was also read out.
Singer Phil Coulter, Deputy First Minister for Northern Ireland Martin McGuinness and former SDLP leader John Hume were also among the mourners.
Kay Duddy, brother of Bloody Sunday victim Jackie Duddy, took part in the offertory procession.
Sister of Jackie Dudy, Kay Duddy (L) arriving for the Funeral Mass of Bishop Edward Daly. Picture: RollingNews.ie
Born on December 5, 1933 in Beleek, Co. Fermanagh, Edward Daly became Bishop of Derry in 1974 and served in the diocese for 59 years.
He was forced into retirement in 1994 after suffering a stroke but he continued to serve as chaplain in Derry's Foyle Hospice until this February.
Mourners, including Bishop Daly's sisters Anne Gibson and Marion Ferguson as well as his nieces and nephews, gathered today to hear about a man who had wished for peace in his native country.
Bishop Daly in a Bloody Sunday mural in Derry. Picture: Charles McQuillan/Getty Images
Tributes were paid to Bishop Daly for his work throughout the Troubles.
"It took enormous courage to build healing on the burning sands of war," Bishop McKeown said.
"We are all blessed because we have seen how love can transform a blood-stained piece of cloth into an unforgettable symbol of divine compassion.
"Today we are grateful for Edward Daly and thousands of others across our community and churches who took risks and paid the price that peace might take roots in our hearts and communities.
"Edward Kevin Daly, your time of faithful service is over. You have fought the good fight, you have run the race, you have kept the faith," he added.
Phil Coulter arrives for the funeral of Bishop Daly. Picture: Charles McQuillan/Getty Images
Archbishop of Armagh Eamon Martin described the immense contribution Bishop Daly had made to the city of Derry.
"Over the past few days tens of thousands of people have visited this Cathedral out of great respect for Bishop Edward Daly. Many tributes have been paid to him," he said.
"Countless words have been written, reflecting on his immense contribution to the life of Derry city and diocese and to peace and justice in Ireland.
"Above all, the people who knew and loved Bishop Daly have been able to share stories of him and tell their children and grandchildren about the caring ministry of a great priest and bishop."
Archbishop Martin also paid a personal tribute to the man who ordained him as a priest 29 years ago.
He said: "There was never any doubt that Edward Daly was a great priest, a caring and compassionate pastor, a man of prayer and peace, a courageous and fearless leader, a special person."
Irish President Michael D. Higgins arrives for the funeral. Picture: Charles McQuillan/Getty Images
Pope Francis, in his message of condolence, paid tribute to Bishop Daly's generosity.
"The Holy Father was saddened to learn of the death of the Most Reverend Edward Kevin Daly, Bishop Emeritus of Derry, and he sends heartfelt condolences to his family and to the clergy, religious and lay faithful of the Diocese.
"Recalling Bishop Daly's generous and dedicated episcopal ministry in the service of peace and justice, His Holiness joins you in prayerful thanksgiving for his life and in commending his soul to the merciful love of God Our Father.
"To all who mourn the late Bishop's passing, Pope Francis cordially imparts his Apostolic Blessing as a pledge of hope and consolation in our Lord Jesus Christ."
Following his Funeral Mass Bishop Edward Daly was buried on the grounds of St Eugene's Cathedral next to his predecessor, Bishop Neil Farren who was Bishop of Derry from 1939 tol 1973.
Bishop Daly was ordained a priest for the Diocese of Derry in 1957. His first appointment was as a curate in Castlederg, Co Tyrone after which he was appointed curate in the parish of Saint Eugene's Cathedral, which includes the Bogside area of Derry City.
As an author Bishop Daly published Mister, Are you a Priest?; Do Not Let Your Hearts Be Troubled; and was co-author of The Clergy of the Diocese of Derry: an Index, and has contributed to A History of the Diocese of Derry.
He also made headlines by calling for an end to clerical celibacy in his book about his life in the Church called A Troubled See: Memoirs of a Derry Bishop.
See More: Bishop Edward Daly, Bloody Sunday, Derry, Featured, Funeral
Join our community for the latest news:
Piers Morgan brands Prince Harry 'pathetic' over claims he had 'no other option' than to quit the Royal family
By: Jack Beresford
8 hours ago News
Best burgers in Europe: Two Irish restaurants make the list
By: Harry Brent
10 hours ago News
Every single banknote tested in Galway study showed traces of cocaine
By: Rachael O'Connor
1 day ago Travel
This incredible Irish Airbnb lets you stay in the top tower of an 800-year-old castle
Galway listed in top 10 places to visit in 2020
Safety warning for Drogheda Gardaí after gang members attempt to follow officer home
John Cleese under fire after making Irish 'joke' on Twitter
Irish-American man saves son's life by killing coyote with his bare hands
Conor McGregor divides fans after labelling Donald Trump a 'Phenomenal President'
News 8 hours ago
By: Harry Brent - 8 hours ago
Disney fans rejoice! The Irish Disney+ launch date has been announced
By: Rachael O'Connor - 9 hours ago
Enormous Snickers bar breaks Guinness World Record
Travel 6 hours ago
Over one million people visited Irish whiskey distilleries in 2019
Sinn Féin calls for referendum on Irish unity by 2025
Business 10 hours ago
Luxury Irish cheesecake brand hits British supermarket shelves
By: Fiona Audley - 10 hours ago
News 11 hours ago
Nora Quoirin's parents sue Malaysian holiday resort owner
By: Harry Brent - 11 hours ago
Leo Varadkar suffers massive drop in popularity in newest election opinion poll
By: Rachael O'Connor - 11 hours ago


text:
Q: How to split long word into words? I have a long word, for example:
welcometostackoverflow

or
betweenparagraphs

How to get string or array like this in PHP?
Welcome to Stack Overflow

or
between paragraphs

Sample results:
http://www.bing.com/images/search?q=betweenparagraphs&go=&qs=n&sk=&form=QBIR

A: It's pretty much impossible since your code cannot know where a word ends. Even with a dictionary there would be ambiguous situations.

A: Simply.. You can't do that not even with large collection of sample words in an array or a file or something else.
Reasons are:

*

*Your input string as i thought will not be
welcometostackoverflow everytime.

*It will cause ambiguous situation in large no. of cases.
for example :
 overflow : it may be over or flow or overflow or low ..


text:
What Does Monophysitism Mean?
Who created monophysitism?
What does Miaphysite mean?
Are Armenians monophysites?
What does Eutychianism mean?
What does Nestorian mean?
What does heresy mean?
Is monophysitism a heresy?
Is the Catholic Church monophysite?
Does nestorianism still exist?
What does nestorianism teach?
Who was nestorius main opponent?
What is heresy what is monophysitism nestorianism and Arianism?
What did monophysitism teach?
Are Protestants Nestorians?
Who opposed nestorianism?
Themistius CalonymusGroups called Monophysite Agnoetae, Themistians or Agnosticists, founded by Themistius Calonymus around 534, held that the nature of Jesus Christ, though divine, was like other men's in all respects, including limited knowledge..
one natureAbstract. Miaphysite means "one nature" (Greek, mia = one; physite = nature) and refers to the one‐nature Christology of Cyril of Alexandria articulated in his famous dictum, "one nature of God the Word Incarnate." The miaphysites base their Christology on the theology of both Cyril and his predecessor Athanasius.
Cyril of Alexandria, which proclaimed "one incarnate nature of the Word." After Chalcedon, the Armenian church was considered by the Roman Catholic and Eastern Orthodox churches to be monophysite—i.e., taking the theological view that Christ had only one, divine nature (physis), despite his incarnation in a human body.
: a follower of Eutyches in the belief that the divine and the human in the person of Christ so blend as to constitute but one nature so that Christ is of two natures but not in two : monophysite — compare nestorian.
1 : of or relating to the doctrine ascribed to Nestorius and ecclesiastically condemned in 431 that divine and human persons remained separate in the incarnate Christ.
1a : adherence to a religious opinion contrary to church dogma (see dogma sense 2) They were accused of heresy. b : denial of a revealed truth by a baptized member of the Roman Catholic Church. c : an opinion or doctrine contrary to church dogma.
Monophysitism mənŏf´ĭsĭt˝ĭzəm [key] [Gr.,=belief in a single nature], a heresy of the 5th and 6th cent., which grew out of a reaction against Nestorianism. … Monophysitism challenged the orthodox definition of faith of Chalcedon and taught that in Jesus there were not two natures (divine and human) but one (divine).
Monophysitism is the view or teaching that Christ had only one nature, either entirely divine or, in some versions, a seamless blend of human and divine such that the two were inseparable. The Roman Catholic Church rejected this view as a heresy at the Council of Chalcedon in 451 C.E.
The Christian church in Persia adopted it, largely to obtain the protection of its rulers by assuring them that its religion was not that of their enemies the Romans. Nestorianism continues today, though its adherents are few, with groups being found in Iraq, India, Iran, Syria, and North and South America.
Nestorianism, Christian sect that originated in Asia Minor and Syria stressing the independence of the divine and human natures of Christ and, in effect, suggesting that they are two persons loosely united.
Patriarch Cyril of AlexandriaIt is not clear whether Nestorius actually taught that. Eusebius, a layman who later became the bishop of the neighbouring Dorylaeum, was the first to accuse Nestorius of heresy, but the most forceful opponent of Nestorius was Patriarch Cyril of Alexandria.
Arianism — Jesus, as Logos, was a superhuman creature (something like an angel) between God and humans. … Monophysitism — The union of divine and human natures resulted in a single divine nature; the human nature was extinguished at the moment of conception.
Monophysitism asserted that the person of Jesus Christ has only one, divine nature rather than the two natures, divine and human, that were established at the Council of Chalcedon in 451.
Eastern Orthodox venerate and affirm that Mary is the Mother of God. Protestants are the only one who have no honoring of the Blessed Mother.
Such teachings brought Nestorius into conflict with other prominent church leaders, most notably Cyril of Alexandria, who issued 12 anathemas against him (430). Nestorius and his teachings were eventually condemned as heretical at the Council of Ephesus in 431, and again at the Council of Chalcedon in 451.
Quick Answer: What Is The Most Common Anxiety Disorder In Older Adults?
Can anxiety be a sign of dementia? behavioural problems
Question: Which Is Permanent Storage Device?
Is ROM main memory? Primary memory includes ROM and
What Is A Normal Range Of Motion?
What are the 3 types of range of motion? Range of motion
What Kind Of Government Did The Puritans Have?
Did Puritans believe in democracy? The Puritan churches
How Long Should I Spend At Gym?
Is going to the gym 7 days a week bad? Going to the
Question: Is Anyone Stronger Than Superman?
Can Superman beat Captain America? Superman could probably
Do Real Hackers Use Kali Linux?
Is Linux hard to hack? In general, it is safe to assume
Question: What Is A Degree With A Foundation Year?
Is a foundation year bad? You've spent the entire
Question: What Is Conflict Example?
What are the six types of conflict? Decoding the Six
Quick Answer: What Is A Proverb Grammar?
What is another word for proverb? In this page you
Quick Answer: Is Stainless Steel Expensive?
Is stainless steel jewelry expensive? Stainless steel
Quick Answer: How Much Texting Is Too Much?
How much texting is too much to a girl? Texting a girl
How Many Core Values Should A Person Have?
What are the 8 core values? Some Types of Core ValuesDependability.