text:
/*
 * This file contains useful methods for reading, writing and creating Tracked Data Log (.tdl) files
 * @author John Thomas
 */

#include <sys/types.h>
#include <sys/stat.h>
#include <unistd.h>
#include <string.h>
#include <stdio.h>
#include <fcntl.h>

#ifdef __cplusplus
#include <cstdlib>
#else
#include <stdlib.h>
#endif

#include "tdl-util.h"
/*
 * Moves the cursor to the first data point entry.
 * This MUST be called before any calls to tdl_read.
 * Additionally, this will store the name of the tracked
 * object that the file contatins to the given pointer.
 *
 * @param int fd - a file descripter pointing to the file.
 *		  char** name - a pointer to the char* where the name should be stored.
 *						if this is null, the name will be ignored.
 */
int tdl_prepare(int fd, char** name)
{
	//Seek to the begining of the file.
	lseek(fd, 0, SEEK_SET);

	if(tdl_validate(fd))
	{
		char c = 0;
		char* tmpName = (char*)malloc(sizeof(char) * 33);
		int i = 0, bRead = 0;
		/*
		  Read until we find a NULL char that indicates the end of the name
		  even if we reach the char limit, we still need to keep reading just
		  in case a name longer than 32 chars was written to the file some how.
		  The extra chars should be ignored, this is simple to set the cursor
		  for further reads.
		*/
		while((bRead = read(fd, &c, 1)) > 0)
		{
			if(i < 33)
			{
				tmpName[i++] = c;
			}

			if(c == 0) break;
		}

		//error check for the read.
		if(bRead < 1)
		{
			perror("Reading object name failed");
		}

		//If the specified pointer isn't null, store to it.
		if(name != NULL)
		{
			name[0] = tmpName;
		}
	}
	else
	{
		//return -1 if the file is invalid.
		return -1;
	}

	//Everthing went fine, so return 1.
	return 1;
}

/*
 * Creates a new empty tdl file. This will setup
 *
 * Proper header: 219  84  68  76  13  10  26  10
 * ASCII  header: INV   T   D   L  \r  \n \032 \n
 * We use this combination of invalid ascii and different returns to make
 * the file not openable with text editors since it is a binary file.
 *
 * @param char* path - the path to the file and the file name.
 * 				       ".tdl" will be appended to the file name if
 *					   it is not specified in the path.
 *		  char* name - the name of the object that the file contains.
 *					   There is a limit of 32 chars for the object name,
 *					   anything longer will be truncated.
 *
 * @return int - a file descripter pointing to the newly created file.
 */
int tdl_create(const char* path, const char* name)
{
	int pathLen = strlen(path);
	int nameLen = strlen(name);
	nameLen = nameLen > 32 ? 32 : nameLen;

	char buff[1024];
	//Check the last 4 chars in the path to see if they are .tdl.
	if(pathLen < 4 || strncmp(path + pathLen - 4, ".tdl", 4) != 0)
	{
		buff[0] = '\0';
		strncat(buff, path, pathLen);
		strncat(buff, ".tdl", 4);
		path = buff;
		pathLen += 4;
	}

	int fd = -1;
	if((fd = open(path, O_CREAT | O_EXCL | O_RDWR , S_IRUSR | S_IWUSR | S_IRGRP | S_IWGRP | S_IROTH)) < 0)
	{
		perror("File creation failed");
		return fd;
	}

	unsigned char header[9];
	header[0] = 219;//INV ascii char for identifier
	header[1] = 84;//T
	header[2] = 68;//D
	header[3] = 76;//L
	header[4] = 13;//\r
	header[5] = 10;//\n
	header[6] = 26;//\032
	header[7] = 10;//\n
	header[8] = 0;//NULL term
	if(write(fd, header, 9) < 9)
	{
		perror("Writing header failed");
		return fd;
	}

	//We +1 to the name length so that the term char is also written.
	if(write(fd, name, nameLen+1) < nameLen+1)
	{
		perror("Writing object name failed");
		return fd;
	}

	return fd;
}
/*
 * Returns the next tracked point in the file.
 * If the end of the file is reached, the file cursor will be
 * moved back to the beginning of the file.
 *
 * @param int fd - a file descripter pointing to the file.
 *		  float* pos - the array that the position will be stored. Should be length 3.
 *		  float* orient - the array that the orientation will be stored. Should be length 16.
 *
 * @return int - -1 if the file could not be read.
 * 				  0 if the operation was normal.
 *				  1 if the end of the file was reached and the cursor was reset.
 *
 */
int tdl_read(int fd, float pos[3], float orient[9])
{
	int posSize = 3*(signed int)sizeof(float);
	int orientSize = 9*(signed int)sizeof(float);

	int readVal = 0;
	if((readVal = read(fd, pos, posSize)) < posSize)
	{
		if(readVal == 0){
			//EOF
			return 1;
		}
		else
		{
			perror("Reading position failed");
			return -1;
		}
	}

	if((readVal = read(fd, orient, orientSize)) < orientSize)
	{
		if(readVal == 0){
			//EOF
			return 1;
		}
		else
		{
			perror("Reading position failed");
			return -1;
		}
	}

	return 0;
}

/*
 * Writes the position and orientation properly formated to a file.
 *
 * @param int fd - the file to write to
 * 		  float* pos - the position array
 * 		  float* orient - the orientation array
 *
 */
void tdl_write(int fd, float pos[3], float orient[9])
{
	int posSize = 3*(signed int)sizeof(float);
	int orientSize = 9*(signed int)sizeof(float);
	if(write(fd, pos, posSize) < posSize)
	{
		perror("Writing position failed");
	}

	if(write(fd, orient, orientSize) < orientSize)
	{
		perror("Writing orientation failed");
	}
}

/*
 * Checks the headers of a file to make sure it is a proper tdl file.
 * Note: the position of the cursor in the file MUST be at the CUR_START
 *
 * @param int fd - a file descripter pointing to the file.
 *
 * @return (C)int - 0 - the file is not valid.
 *					1 - the file is valid.
 *
 *		   (C++)bool - whether or not the file is valid
 */
#ifdef __cplusplus
bool tdl_validate(int fd)
#else
int tdl_validate(int fd)
#endif
{
	unsigned char buff[9];
	int valid = 0;
	ssize_t lenRead = read(fd, buff, 9);
	if(lenRead == 9)
	{
		valid = buff[0] == 219 && buff[1] == 84 &&
			    buff[2] == 68 && buff[3] == 76 &&
			    buff[4] == 13 && buff[5] == 10 &&
			    buff[6] == 26 && buff[7] == 10 &&
			    buff[8] == 0;
	}

#ifdef __cplusplus
	return (bool)valid;
#else
	return valid;
#endif
}

redpajama_set_name: RedPajamaGithub


Excellent Convertible Sofa By Andover Mills is important have in almost any property. You desire for the greatest parts, so you want to actually never pay too much for these people. Appears to be a bit complicated, appropriate? Effectively, this article is on this page to help. Read more and look for some very nice professional tips for choosing the offers on furnishings parts you can expect to love. Prior to buying any cupboards, wide open each of the storage and search within. You're not merely ensuring that every one of the storage are made to last and open up with no hitches, you also want to make certain that the inner from the storage have some form of concluding as well. When shopping for Convertible Sofa By Andover Mills, determine your bed room before you go buying. There exists nothing at all a whole lot worse than selecting the excellent group of Convertible Sofa By Andover Mills only to discover that it does not easily fit in your bed room once you have it house. Alternatively, effectively measure your areas measurements before heading remembering in which entrance and windows are located.
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Program provides timely, accurate and efficient support to HUMINT collection operations within the Defense of Defense (DoD). The tasks covered in this effort are for database development and management.
- Provide operational support to Department of Defense HUMINT Operations.
- Format, Review, quality Control, and publish/release Information intelligence reports (IIR), ensuring that all appropriate policies and guidance are adhered to, and that Information meets defined reporting thresholds. - -Conduct post-IIR publication Review and annual IIR reconciliation.
- Maintain IIR reporting metrics to Asset in The collection management mission. Utilize available intelligence tools to Assist in a qualitative Review of platform/collector performance. present collection management trends, issues, and reporting highlights regularly. IIR metrics to be included in monthly report.
- Deliverables: IIRs, collection Posture Statements, operating directives, source Panel Input, capabilities Statements, Standard operating procedures, Integrated collection strategies and collection Emphasis Messages.
- Minimum clearance qualifications: Current TS/SCI with ability to pass a polygraph.
- Ideal candidate will possess an active TS/SCI with polygraph.


text:
An Arctic Refuge lease sale happened — so what now?
Written by Adam Kolton, January 15th, 2021
On January 6, as protests in Washington, D.C., morphed into an assault on the U.S. Capitol Building and democracy itself, thousands of miles away officials from the U.S. Bureau of Land Management were opening oil lease bids submitted for the Arctic National Wildlife Refuge coastal plain.
On its 20th Anniversary, new bill would write Roadless Rule into law
Written by Kaden McArthur, January 12th, 2021
Today marks the 20th anniversary of the Roadless Rule, a hallmark conservation rule that has protected the most pristine, remote and wild parts of our national forests for two decades.
Great.com talks with… Alaska Wilderness League
Written by League Staff, January 11th, 2021
The Alaskan wilderness is one of the world's wildest places. But its pristine nature is threatened by heavy industry. In this episode, Emil Ekvardt of Great.com spoke with Adam Kolton from Alaska Wilderness League about the importance of preserving this natural landscape for Indigenous people and our climate.
Trump team rushes to drill in Arctic — but will they fall flat?
Written by League Staff, January 4th, 2021
This piece originally appeared on Our Daily Planet. An oil and gas lease sale is scheduled for the coastal plain of the Arctic National Wildlife Refuge on January 6. (Cover photo: U.S. Fish and Wildlife Service)

redpajama_set_name: RedPajamaCommonCrawl


text:
Temporary Protected Status Terminated for Sudan, Extended for South Sudan. Who Is Next?
Posted by Royce Murray | Sep 21, 2017 | Adjustment of Status, Temporary Protected Status, Waivers and Relief from Deportation
With the stroke of a pen, the Secretary of Homeland Security upended the lives of over 1,000 Sudanese nationals living in the United States with the announcement this week that Temporary Protected Status (TPS) for Sudan has been terminated. However, nationals of South Sudan fared better, with an 18-month extension of their TPS designation announced the same day.
The Trump administration explained in a Federal Register Notice that the decision to terminate TPS for Sudan is based on their conclusion that the armed conflict that has plagued the country for decades is now limited to specific regions, though they noted that hundreds of thousands of Sudanese have fled to neighboring countries as a result of the violence. DHS admitted that "Sudan's human rights record remains extremely poor in general" and that there are "acute levels of food insecurity" in conflict-affected areas.
Although the effective date of the termination is delayed until November 2, 2018, this decision means that if country conditions in Sudan worsen over the next year the DHS Secretary cannot extend the designation any further and instead would have to make an entirely new TPS designation. This seems unlikely under the current administration. Indeed, following the travel ban announced in January – which included Sudan – this is the second time this year that nationals of Sudan have been told that they are unwelcome.
The DHS Secretary saw the situation in South Sudan quite differently, citing the fact that the country is "engulfed in an ongoing civil war marked by brutal violence against civilians, egregious human rights violations and abuses, and a humanitarian disaster on a devastating scale across the country." Estimates of South Sudanese with TPS range from 50 to a few hundred, representing the smallest number of TPS holders of any of the ten countries designated.
What comes next? Although the effective date of the termination for Sudan has been delayed by one year, this announcement is an abrupt change from years of protection that Sudanese received. Originally designated in 1997, and later re-designated in 1999, 2004, and 2013 due to ongoing dangerous conditions, many Sudanese TPS beneficiaries have lived in the United States for decades and are well-integrated into their communities. Having built lives here, they suddenly risk separation from their families, jobs, businesses, and homes if deported. To minimize that risk, Sudanese nationals with TPS who want to remain in the United States should consult immigration attorneys to see if they have other avenues of immigration relief.
Fear and anxiety are running high in the TPS community as many wonder what the decision on Sudan means for other TPS designations. By November 6, DHS must decide whether to extend or terminate TPS for Honduras and Nicaragua (impacting around 86,000 and 5,300 individuals, respectively), soon followed by Haiti (impacting approximately 59,000 individuals) on or before November 23. The largest TPS designation – El Salvador – impacts 263,000 individuals and must be decided by January 8, 2018. Many are watching and waiting to see if the administration's willingness to terminate TPS for nationals in need of protection as Sudanese have been, translates to more terminations impacting hundreds of thousands more.
FILED UNDER: Department of Homeland Security, Deportation, Donald Trump, featured
PreviousU.S. Immigration Officials Frequently Use Coercive Tactics to Deport Mexican Migrants
NextPublic's Appetite for Harsh Immigration Polices on the Decline
Royce Murray
Royce Bernstein Murray is the Managing Director of Programs at the American Immigration Council where she oversees the Council's legal, policy, and media work. Prior to joining the Council, Royce served as the Director of Policy at the Heartland Alliance's National Immigrant Justice Center where she worked on issues impacting the due process rights, detention, and treatment of vulnerable immigrants. She previously worked as an immigration and human rights law consultant for organizations including the National Immigration Forum, Center for Global Development, and the World Bank's Nordic Trust Fund. Royce was also an adjunct professor at the David A. Clarke School of Law at the University of the District of Columbia. She began her career working for the federal government as a Presidential Management Fellow and Asylum Officer for the Immigration and Naturalization Service and later at the U.S. Citizenship and Immigration Services Office of the Chief Counsel. She was introduced to immigration and asylum issues as an intern for the Lawyers Committee for Human Rights (now "Human Rights First"), the Guatemala Human Rights Commission/USA, and Ayuda. She holds a J.D. from the Georgetown University Law Center and a Bachelor of Arts with distinction in political science from the University of Michigan. She is a member of the New York Bar.


text:
campF.R.E.S.H.® encourages healthy lives, one adventure at a time
April 5, 2017ByadminAcademic News, Campus & Community
Children from throughout St. Louis will "travel" to all seven continents and learn about different cultures, healthy eating and physical fitness — all from the campus of Fontbonne University. campF.R.E.S.H.® is a summer day camp at Fontbonne that takes kids on an interactive, hands-on journey toward better health through activities emphasizing nutrition, wellness, physical exercise...
Fashion and Fair-Trade: Students Develop Products to Make a Difference
On Saturday, April 8, Fonbonne University fashion merchandising students will debut three exclusive products they developed over the past year in connection with Partners for Just Trade, a fair-trade nonprofit based in St. Louis. The students have worked with the organization to bring the items — a backpack purse, a lunch bag and a train...
Former Fontbonne Pitcher Advances in Dodgers Organization
April 3, 2017ByadminAlumni, Athletics
ST. LOUIS – Fontbonne University kicks off NCAA Division III week (April 3-9) congratulating former Griffin pitcher Vinny Santarsiero on his newest placement within the Los Angeles Dodgers organization. Santarsiero bypassed his final season of eligibility (2016) by signing a deal with the major-league organization. The six-foot-seven pitcher was originally placed with the Ogden Raptors,...
$100,000 NEH grant to fund memory and identity exploration
March 29, 2017ByadminAcademic News, Campus & Community, Faculty News, News Stories
Fontbonne University has received a $100,000 Humanities Connection grant from the National Endowment for the Humanities, supporting a collaborative, academic project building connections between the humanities and other disciplines. This is the second NEH grant awarded to the university within the past four months, a rare occurrence, according to Fontbonne officials. (An NEH Humanities Access...
2017 Commencement Planned for May 8
March 16, 2017ByadminAcademic News, Campus & Community
Fontbonne University's 2017 commencement ceremony will take place Monday, May 8, at 4 p.m. at Chaifetz Arena. Bachelor's and master's degree candidates will commence during the ceremony. A schedule of events, checklists for graduates and guests, and general information are available now online. Graduating students are asked to review the site and complete the mandatory...
Mustard Seed to Open "Dancing at Lughnasa" April 13
March 16, 2017ByadminCampus & Community, Performing & Fine Arts
Set in 1936 Ireland, "Dancing at Lughnasa" explores the potential for romance and the lure of pagan rituals in a Catholic family's day-to-day life. The narrator, Michael (Jim Butz), guides the audience through his memories of a summer spent with his mother and her five siblings (Gary Glasgow, Michelle Hand, Amy Loui, Jennifer Theby Quinn,...
Pressimone Surprises Scholarship Award Winners
March 10, 2017ByadminAcademic News, Campus & Community, News Stories
March 10, 2017 — Two future Griffins received a big surprise this past week when Fontbonne University President J. Michael Pressimone arrived at their high schools with good news: They will both receive a 2017 Presidential Scholarship from Fontbonne. Michala Clark, a senior at Vienna High School in Vienna, Ill., and Jo Bahr, a senior...
Hands Across Fontbonne
March 8, 2017ByadminNews Stories
Mar. 8, 2017 — The Fontbonne University community held a rally today to show support for its immigrant and non-immigrant international population. Sponsored by the university's Peace and Justice Committee, the rally gave voice to students, faculty and staff who hail from countries across the globe. Participants were asked to share their immigrant stories to...
Creating Unity on Campus
March 8, 2017ByadminStudent News, Tableaux
By Quinn Wilson '19 | Tableaux, Winter 2017 During the summer of 2016, an informal group of Fontbonne University faculty, staff and students gathered to discuss the numerous acts of violence that rattled the nation. The conversation led to a variety of initiatives, including the student-led Unity Movement, a two-day event that took place in...
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USER ID is on your Library CARD. Password is available at Counter of Libraries.
The letters of password must be a half size of alphanumerical characters.
Please don't forget your Password. If you forget your password, please come to the Library.
Copyright(C)2009 KATSUSHIKA CITY LIBRARIES.All Right Reserved.


TIGI Bed Head Colour Trip allows you to create anything from intense tones to soft pastels! These long-lasting semi-permanent hair colours last up to 20 shampoos! (Depending on hair condition and aftercare routine).
*Do not mix with an activator or any colourants outside of the Colour Trip range.
A fantastic colour. Love the violet and it fades really nicely too. I use it on my routes and then pull through before washing, gives a lovely effect.


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text:
Q: How can i create an animation like this in css I'm trying to create an animated text like bellow using css, how can i do this?

I already tried this:

span1 {
  display: inline-block;
  color: #e74c3c;
  position: relative;
  white-space: nowrap;
  top: 0;
  left: 0;
  -webkit-animation: move 5s;
  -webkit-animation-iteration-count: infinite;
  -webkit-animation-delay: 1s;
}

@keyframes move {
  0% {
    top: 0px;
  }
  20% {
    top: -50px;
  }
  40% {
    top: -100px;
  }
  60% {
    top: -150px;
  }
  80% {
    top: -200px;
  }
  100% {
    top: -300px;
  }
}
<span1>
  web developer
 css cowboy
 self-facilitating media node
 box inside a box
 part of the problem
</span1>

but it has a delay after last text that i need to remove!

A: See This:

*{
  box-sizing: border-box;
}

body {
  background-color: skyblue;
}

div {
  overflow: hidden;
  color: #fff;
  text-align: center;
  font-size: 20px;
  position: relative;
  height: 100px;
  margin-top: 100px;

}

div p {
  height: 100px;
  animation: move  7s infinite linear;
  position: relative;
  bottom: -100px;
  font-size: 36px;
  margin: 0;
}

@keyframes move {
0% {bottom: -100px;}
10%, 20% {bottom: 0px}
40%,50% {bottom: 100px;}
70%,80% {bottom: 200px;}
100% {bottom: 300px}
}

50% OFF

Some Text

Write by: Ehsan Taghdisi

A:

.anim1 {
  animation: anim1 1.5s infinite;
}

.anim2 {
  animation: anim2 1.5s infinite;
}

@keyframes anim1 {
  0% {
    transform: translateY(-10px);
  }
  50% {
    transform: translateY(-80px);
  }
  100% {
    transform: translateY(-10px);
  }
}

@keyframes anim2 {
  0% {
    transform: translateY(0px);
  }
  50% {
    transform: translateY(-80px);
  }
  100% {
    transform: translateY(0px);
  }
}

Hello animation 1

Hello animation 2

redpajama_set_name: RedPajamaStackExchange


Terns are seabirds with worldwide distribution. There are over 40 species of tern in the world, and many have a similar look. Many have a grey plumage, with some white or black thrown in. This design features more... nine different terns that can be found in North America and other parts of the world. They are: Caspian Tern; Royal Tern; Sandwich Tern; Common Tern; Arctic Tern; Least Tern; Gull-billed Tern; Black Tern; and Sooty Tern. Learn the difference between them with this fun original Birdorable cartoon design.
Know Your Terns Cloth Napkins (set of 4) dinner 20" x 20"
Know Your Terns Kitchen Towel 16" x 24"


At least 33 children were killed when a bus caught fire in northern Colombia, trapping the young passengers aboard the burning vehicle as horrified onlookers stood by helplessly.
The bus was transporting 48 children between the ages of 2 and 13 to their homes after a Pentecostal church service when the tragedy happened Sunday in Fundacion, a sugar- and banana-growing town near the Caribbean coast.
Residents said they heard screams for help but were unable to intervene due to the intense heat of the flames.
"I never saw anything so terrifying," said taxi driver Alvaro del Valle.
"They came to speak with God and look what happened," added Clara Lopez, a local resident.
An adult who was accompanying the children on the bus, identified in news reports as Rosiris Hernandez, was able to evacuate some of the young passengers with help from another taxi driver, the newspaper report said.
The bus driver fled the scene but was later arrested after local media spread the word that he was being sought, according to El Tiempo newspaper in the capital, Bogota.
Police told reporters that the driver did not have a valid driver's license. The bus lacked a legally required fire extinguisher, had no emergency exit and was not insured, they said. There also had been no recent safety inspection of the vehicle, police said.
A team of forensic experts was assembled to help identify the victims, most of whom were burned beyond recognition.
They included 7-year-old Antonio Jose Pavon, who succumbed Monday to third-degree burns over most of his body, local news reports said. He was one of 16 injured in the fire.
Fundacion Mayor Luz Estela Duran declared three days of mourning for the dead, who came mostly from poor families.
President Juan Manuel Santos, who is campaigning for reelection, visited the town on Sunday evening. He declared a day of national mourning and said the government would shoulder funeral costs. He also called on the Transportation Ministry to conduct a thorough investigation of the incident.


text:
Q: Calc- Trig Identity Help! I have a few questions on trig/calc stuff I am having trouble with, for some reason I am just not getting the concept.
1: What  happens if you take $B=2\pi$ in the addition formula? Do the results agree with something you already know?
so... $\sin A \cos B + \cos A \sin B = \sin A \cos 2\pi + \cos A \sin 2\pi$, without $A$, we cannot get further?
2: Find the function values. $\displaystyle \sin^2(\frac{3\pi}{8})$
Thank  you, I would really appreciate it if someone could help me figure these out, and learn the concept!
Thanks

A: *

*You can get further without $A$, since you know that $\cos2\pi = 1$ and $\sin2\pi = 0$. (These are really fundamental properties of $\cos$ and $\sin$.) Therefore you have $\sin(A+2\pi) = \sin(A)$, as expected.

*We know that $\sin^2(\frac{3\pi}8) = (\sin(\frac{3\pi}8))^2$. We can simply plug in $\sin(\frac{3\pi}8)$ into a calculator and square it. If we want to find that out by hand, we can use an identity and find $\sin(\frac{3\pi}8) = \pm \sqrt\frac{1-\cos(\frac{3\pi}4)}2$. We know $\cos(\frac{3\pi}4)=-\frac{\sqrt2}2$.
Anyway, plug in everything and you end up with $\sin^2(\frac{3\pi}8)=\frac{2+\sqrt2}4$.

A: So you're asking what happens if we substitute $B = 2\pi$ in $\sin(A+B)$. Well the trig functions are $2\pi$-periodic so by adding $2\pi$, you get the same result. You can check this with the sum formulas:
$$\sin(A+2\pi) = \sin A\cos 2\pi + \cos A\sin 2\pi = \sin A + 0 = \sin A$$
since $\sin2\pi = 0$ and $\cos 2\pi = 1$. This matches our intuition about how trig functions should work.
As for the second one, we know that $\cos(2\theta) = 1-2\sin^2 \theta$. So if $\theta = \frac{3\pi}{8}$, what do you get?


text:
Q: change the look of Edit Text box in android I want to change the way the edit text view looks like... I have found a few answers but they somehow don't solve my purpose...
Please kindly provide solutions.

A: Try .
You can do something like this to make a rounded edit box:
Make styyles.xml in values folder.

<solid android:color="#FFFFFF"/>

<stroke
    android:width="2dp"
    android:color="#E7E7E7"
    android:height="10dp"/>

<corners
    android:radius="5dp"/>

You can then use it in xml like :
<EditBox

    style="@style/Edit_box_background"
    other attributes....
    />

A: Just to make the comments above a bit clearer:
You should create a file in drawables.
e.g:   textinputborder.xml..
Then add the following code for the border shape and color to that file:
<shape xmlns:android="http://schemas.android.com/apk/res/android"
android:shape="rectangle">
<solid android:color="#00000000" />
<stroke android:width="2.5dp"
    android:color="#FFFFFF" />
<corners
android:radius="5dp"/>
</shape>

Then use this shape for the edit text widget inside an activity xml file as required:
<EditText
     android:id="@+id/searchBox"
     android:layout_width="fill_parent"
     android:layout_height="45dp"
     android:background="@drawable/textinputborder"
     android:hint="@string/Search"
     android:paddingLeft="10dp"
     android:inputType="textVisiblePassword" >

 </EditText>

A: 1. Creating Background Drawable for EditText
<shape
    xmlns:android="http://schemas.android.com/apk/res/android"
    android:shape="rectangle">

    <stroke
        android:width="1.5dp"
        android:color="@android:color/darker_gray" />

    <corners
        android:radius="4dp" />

</shape>

2. Setting up EditText
<EditText
    android:layout_width="0dp"
    android:layout_height="wrap_content"
    android:layout_weight="2"
    android:background="@drawable/stroke_box"           //apply background drawable
    android:padding="8dp" />                            //for better effect


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text:
Deep Politics Forum > Deep Politics Forum > Organizations and Cults > NEO-NAZISM: United Nations Anti-Nazi Resolution and Falsification of History
Full Version: NEO-NAZISM: United Nations Anti-Nazi Resolution and Falsification of History
Christer Forslund
NEO-NAZISM: United Nations Anti-Nazi Resolution and Falsification of History
Iran, Israel, Syria, Russia United in UN General Assembly Vote against Neo-Nazism
By Carla Stea
URL of this article: [URL="http://r20.rs6.net/tn.jsp?llr=o8b4necab&et=1109132892017&s=20181&e=0016TRr338up_xAr7kBBtjFZnN7Ux0T9aBbF8yg_V65OQzWNbCcWddiXUD5n7xnzCyD-FHXtTSntH9EGyvwD1IFe8p1ZRurT5SXZg3wb7_PWqLmFVLVW_gmOQ=="]www.globalresearch.ca/index.php?context=va&aid=28800
Global Research[/URL], January 22, 2012
Quote: On December 19, 2011, in an extraordinary vote, Iran, Israel and Syria united in support of United Nations General Assembly Resolution A/66/460 on "Inadmissibility of Certain Practices That Contribute to Fuelling Contemporary Forms of Racism, Racial Discrimination, Xenophobia and Related Intolerance." The resolution was adopted by a majority vote of 134, with 24 opposed and 31 abstentions. Among the 32 co-sponsors of the Resolution were, notably, Iran, Syria, Belarus, the Russian Federation, the Democratic People's Republic of Korea, India, Venezuela, Viet Nam. The resolution states:
4. "Expresses deep concern about the glorification of the Nazi movement and former members of the Waffen SS organization, including by erecting monuments and memorials and holding public demonstrations in the name of the glorification of the Nazi past, the Nazi movement and neo-Nazism, as well as by declaring or attempting to declare such members and those who fought against the anti-Hitler Coalition and collaborated with the Nazi movement participants in national liberation movements.
5. "Expresses concern at recurring attempts to desecrate or demolish monuments erected in remembrance of those who fought against Nazism during the Second World War, as well as to unlawfully exhume or remove the remains of such persons, and in this regard urges States to fully comply with their relevant obligations, inter alia, under Article 34 of Additional Protocol 1 to the Geneva Conventions of 1949.
8. Stresses that the practices described above do injustice to the memory of the countless victims of crimes against humanity committed in the Second World War, in particular those committed by the SS organizations and those who fought against the anti-Hitler coalition and collaborated with the Nazi movement, and poison the minds of young people, and that failure by States to effectively address such practices is incompatible with the obligation of States members of the United Nations under its Charter and is incompatible with the purposes and principles of the Organization."
In 1945 George Braziller published Michael Sayers and Albert E. Kahn's "The Plot Against the Peace," which documents, in chapter 6, the nazi doctrine's explicitly defined policy of xenophobia and racial genocide against the Slavic peoples and the Jews:
"Immediately after Hitler came to power, the Nazi government launched a systematic campaign aimed at the ultimate extermination of the Jewish population of the Third Reich..." But "It was against the Slav peoples, the traditional enemy of Pan-Germanism, that the policy of genocide was most extensively applied...'It will be one of the chief tasks of German statesmanship,' Hitler told Hermann Rauschning, for all time to prevent, by every means in our power, the further increase of the Slav races.'" (From "The Plot Against the Peace," by Sayers and Kahn, 1945).
By the end of World War II, in addition to the six million Jews exterminated by the Nazis, approximately 30 million Soviet citizens had been exterminated, only one third of whom had been soldiers.
Former United States Justice Department Attorney John Loftus, in "America's Nazi Secret," ( Trine Day Press, 2010), describes this process in the town of Borissow, near Minsk, typical of the genocidal policies executed throughout Nazi occupied Europe, and throughout the Soviet Union. On page 27 he writes:
"The roundup of Jews began at 3AM... The local police, bolstered by reinforcements from the neighboring town of Zembin, surrounded the ghetto... The killing went on throughout the day...Some of the guards raped the younger women before forcing them into the pits. Heads were smashed by rifle butts, and bodies were mutilated. Autopsies conducted after the war showed that some babies, out of sheer savagery or to save ammunition, had been thrown into the pits and buried alive....children were thrown into wells and hand grenades dropped down upon them, and Byelorussian policeman commanded by SS General Franz Kushel, swung infants by the heels and smashed their heads against rocks.....The SS claimed they were killing ten thousand Jews per week. ...In all, about two thirds of the approximately 375,000 Jews who lived in Byelorussia before the Nazi invasion were swallowed up by the Holocaust.....Solomon Schiadow, one of the few inmates who escaped Koldichevo, later described conditions there: One day a Byelorussian caught a youngster looking at the sky as planes flew overhead, and accused the prisoner of attempting to signal enemy aircraft. The guard ordered several other Jews to hold the youth down over a table. He warned them that anyone who let go would replace the man at the table. He took out his knife and began to carve large steaks out of the living flesh of the young man, as if he were a butcher calmly working on a side of beef." (Loftus, "America's Nazi Secret")
The events described above, replicated throughout Europe, in the murders of more than 30 million people, describe Nazism, a doctrine so abhorrent that any attempt to legitimize it is to legalize slavery and genocide. Yet, this year, 2011, twenty-two members of the United Nations, including the United Kingdom, the United States, Netherlands, Poland, Romania, Latvia, Lithuania, Estonia, France, Georgia, Hungary, the Czech Republic, Albania, Belgium, Slovakia, Spain, Sweden, voted to legalize the Nazi doctrine that perpetrated mass slavery and genocide of Jews and Slavs and numerous other groups the Nazis deemed inferior races.
Even more remarkable in the voting record, is the consistency with which Iran, Syria and the Democratic Republic of Korea have voted together with Israel, year after year, after year to oppose the rehabilitation and glorification of Nazism, the Nazi past and neo-Nazism.
It is indeed remarkable that the very same states that voted to permit the restoration of Nazism voted the following week to condemn Syria for human rights abuses. The appalling and willful indifference of 22 "developed" countries indeed their condoning the horrors of Nazism, probably the worst scourge of atrocities in the history of the human species, must be considered the grossest hypocrisy when these same 22 countries sanctimoniously condemn Syria for human rights violations. If these 22 states tolerate the revival of Nazism, by what standard do they condemn Syria? Further, together with Israel, Iran voted to support A/66/460, prohibiting the resurrection of Nazi doctrine. Iran voted to oppose that very same Nazism which exterminated the entire population of Jews in Europe and the Soviet Union.
But this is just the beginning of the disconnect. According to John Loftus ("America's Nazi Secret", page 83):
"The United States Counter-Intelligence Corps' primary task was to identify and arrest Nazi war criminals and key officials. But the denazification program was the responsibility of area military commanders... The Pentagon began smuggling top Nazi scientists into the United States under Operation Paperclip,' fraudulently identifying them... The recruitment of Nazi war criminals into the United States vastly expanded, and DP camps were scoured by the Operations Research Office of the Pentagon interested in the use of Nazi collaborators in the hope of obtaining information of value in the event of an American invasion of Russia" (Loftus, 117). Harvard University was linked to this program. "The Harvard Institute for Russian Research was funded by OPC (Office of Poly Coordination)... The B-6 series of interviews, for example, covered such non-academic topics as the best method for dropping paratroopers, the utility of Nazi anti-partisan operations, the popularity of Nazi sponsored political organizations....Several of those interviewed candidly acknowledged that they had held positions in Nazi police or intelligence organization. One even admitted that he was hiding out because he was wanted as a major war criminal. Apparently they were more than willing to confess participation in criminal activities because they suspected that the person conducting the interview was more than just another Harvard researcher." (Loftus, p. 118)
Following the CIA overthrow of Premier Mohammed Mossadegh in Iran in 1953, and the military coup against democratically elected President Jacobo Arbenz in Guatemala, the intelligence community "waited for a signal to begin making serious trouble for the Soviet Union, especially in the occupied countries of Eastern Europe."
"In 1955 the National Security Council issued NSC 5412/1 which stated: In accordance with established policies, in areas dominated or threatened by international communism, develop underground resistance and facilitate covert and guerrilla operations...Specifically, such operations shall include any covert activities related to: propaganda, political action, economic warfare, direct action, including sabotage, antisabotage, demolition, escape and evasion and evacuation measures; assistance to underground resistance movements, guerrillas and refugee liberation groups; support of indigenous and anti-communist elements in threatened countries of the free world, deception plans and operations and all compatible activities necessary to accomplish the foregoing......The OPC authorized an operation designed to incite simultaneous revolts against Soviet authority in each of the major cities of Eastern Europe, which were to be followed by a civil war among the ethnic and religious minorities within the Soviet Union.... The OPC Nazi liberation armies' would be dropped in to attack the scattered Soviet garrisons. Roads, bridges and rail lines would be blown up or blocked to prevent the movement of Russian reinforcements. After the Soviets had been sufficiently weakened, NATO troops would be dispatched as a peacekeeping force with the declaration that they would remain only long enough to restore order and conduct democratic elections....A few years before President Truman had ordered a study prepared for an invasion of the Soviet Union." (Loftus, p. 131).
Among the most high ranking Nazi war criminals brought into the United States were Radoslaw Ostrowsky, Emanuel Jasiuk and SS General Kushel.
"By 1951 CIC investigators realized that Jasiuk was the central figure in a Nazi underground railroad that assisted war criminals to come to the United States.... To prevent the cancellation of any more of its prosecutions, the CIC submitted a formal complaint up the chain of command on the handling of Jasiuk.....The protest finally reached General John Weckerling, Chief of Military Intelligence at the Pentagon, who agreed that the Nazi smuggling operation was deplorable... He told J. Edgar Hoover on January 2, 1951 that the Air Force had apparently used a Nazi war criminal as an informant and that the State Department had permitted him to enter the United States. Hoover expressed an interest in the case, for it seemed likely to fit in with his plan to expand the FBI's domestic intelligence capabilities. When FBI agents went to visit Jasiuk, it was not to arrest him but to recruit him.....Jasiuk and other Nazis had found their ultimate protector, the Federal Bureau of Investigation of the U.S. Department of Justice." (Loftus, P. 190)
Following World War II, innumerable Nazi war criminals were comfortably and illegally settled in countries of Europe and throughout the United States, where at least some of their children and grandchildren may well have been educated in the Nazi doctrine of racial supremacy that required the extermination or enslavement of all races deemed inferior to "Aryans." This may help explain why, since 2006, members of the European Union abstained on this United Nations resolution "expressing deep concern at the glorification of the Nazi movement," while in all preceding years the United States, in virtual isolation actually opposed the Resolution A/66/460. This year, a year which is exposing the failure of the capitalist system in Europe and the USA, the members of the European Union for the first time actually opposed Resolution A/66/460 together with the United States. Iran, Syria, Israel, the Democratic Republic of Korea, together all supporters of A/66/460 revealed their revulsion at the nazi resurgence. One can only wonder by what moral authority nazi-condoning Europe condemns anti-nazi Iran, Syria and the Democratic Republic of Korea.
And, indeed, the blueprint elaborated in 1955 in NSC 5412/1 seems to have been retained, and enacted in recent US/NATO actions against the former Yugoslavia, Libya, and numerous other countries too independent of US/NATO control.
The current European Union attempt to equate the crimes of nazism with communism, an obfuscation formulated in the recent "Prague Declaration on European Conscience and Communism" is an insidious form of Holocaust denial, intended to camouflage the explicitly racist and genocidal character of Nazism, and intended to desecrate the heroic legacy of the Soviet Union's victory over the psychotic racist and xenophobic nazi assault against humanity in World War II. This Orwellian falsification of history is bringing us to the brink of World War III.


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text:
Prime Minister Liz Truss Resigns – What It Means For CANZUK
James Skinner
James is the Founder & Chief Executive of
CANZUK International in Vancouver, Canada
In the early hours of Thursday morning, Prime Minister Liz Truss made the difficult decision to resign as the United Kingdom's Prime Minister – a decision that had been predicted by many for weeks prior.
Following the economic and political fallout of her party's "mini-budget" and the humiliating U-Turn to save face from her backbenchers, the party membership and the media, the damage was too great to mitigate and resignation became the only viable option.
Although there will be many questions in the days ahead (predominantly, what policies her successor, Rishi Sunak, will prioritize), one question that is worth asking is how the ongoing development of CANZUK relations will be affected.
The most obvious impact is that negotiations between Canada and the United Kingdom will likely be delayed slightly with respect to their new and comprehensive trade deal – a deal which has already passed the third round of negotiations and is widely supported by the Canadian public to include provisions for freer movement.
Of 2,135 adults surveyed in a recent poll between September 1st and September 7th, 2022, 82% of Canadians agreed that visas and work permits should become part of the ongoing trade agreement negotiations, with the intention of increasing visa access for UK and Canadian citizens.
It is therefore clear that the government has a mandate to explore freer movement between the two nations, and there is good news in that the Secretary of State for International Trade, Kemi Badenoch, will retain her position and her ability to negotiate such provisions as part of the Canada-UK trade deal. Given that a new Prime Minister almost always means a cabinet reshuffle, the position could have easily gone to someone else and therefore delayed negotiations further.
On a more somber note, however, there is no guarantee that Sunak – along with his new cabinet – will prioritize CANZUK relations as part of foreign policy due to the dire economic situation which the UK finds itself in. At present, the nation is dealing with high inflation, upward pressure on interest rates, and an energy crisis that has not been seen since the 1970's.
However, there is some hope on the horizon. Former Prime Minister Boris Johnson has been a long time supporter of closer relations between Canada, Australia, New Zealand and the United Kingdom, and has even publicly stated his desire to further CANZUK relations. There can be no doubt that his support has resonated amongst many MPs within the Conservative Party, many of whom will likely bring this support with them to Sunak's cabinet.
However, everything at this point is mere speculation. As the UK fights crippling inflation, economic uncertainty and unprecedented energy prices from turbulent oil and gas markets, there is much to be done from the new British government; not only to avoid economic collapse, but to avoid a general election which the opposition benches are vehemently calling for.
For now, all we can do is wait and see. The eyes of the world will be on the UK in the coming days, and there are many who are hoping that the UK's new government under Sunak will continue progressing CANZUK relations in the years ahead.
UK House Of Lords Begin Detailed Check Of Australia & New Zealand Bill
Everything You Need To Know: The UK's Trade (Australia & New Zealand) Bill
It's Time For Canada To Join The AUKUS Defence Pact
It's Time For Cheaper Air Travel Between CANZUK Countries January 28, 2023
UK House Of Lords Begin Detailed Check Of Australia & New Zealand Bill January 23, 2023
UK To Launch New Permission To Travel Scheme January 21, 2023
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text:
\section{Introduction}

   In order to obtain explicit solutions to the Einstein equations, or
coupled Einstein/matter equations, it is generally necessary to make
simplifying symmetry assumptions about the form the metric.  In some
cases, where a high degree of symmetry is assumed, this alone can be
sufficient to render the reduced system of equations solvable.  A
typical example is when one considers an ansatz for cohomogeneity-1
metrics, meaning that the remaining metric functions depend non-trivially
on only a single coordinate, and hence the Einstein equations reduce to
a system of ordinary differential equations.

   In more complicated circumstances, it may be that symmetries of a
less manifest nature can play an important r\^ole in allowing one to
construct an explicit solution to the Einstein equations.  A nice
example of this kind is provided by the Kerr solution for a
four-dimensional rotating black hole \cite{kerr}.  This is a metric of
cohomogeneity 2, with non-trivial coordinate dependence on both a
radial and an angular variable.  It was observed, after the original
discovery of the solution, that it exhibits the remarkable property,
associated with a ``hidden symmetry,'' of allowing the
separability of the Hamilton-Jacobi equation and the Klein-Gordon
equation.  In fact, it can be shown that the separability is related
to the existence of a 2-index Killing tensor $K_{\mu\nu}$ in
the Kerr geometry, satisfying $\nabla_{(\mu}\, K_{\nu\rho)}=0$.
By exploiting this property, and conjecturing that it
would continue to hold for the more general situation with a
cosmological constant, Carter was able to construct the solution
for a four-dimensional asymptotically AdS rotating black hole \cite{carter}.
Further generalisations, with the inclusion, for example, of a NUT parameter,
were subsequently found, again preserving the property of separability.

    It is of considerable interest to investigate the issue of
separability in other gravitational solutions, including in particular
solutions describing black holes in higher dimensions.  Not only can
this shed light on the existence of hidden symmetries, associated with the
existence of Killing tensors, in the known black hole metrics; it can
also point the way to constructing more general solutions with additional
parameters.

    The general $D$-dimensional asymptotically-flat uncharged rotating
black hole was constructed in \cite{myeper}, and the generalisation to
the asymptotically-AdS case with a cosmological constant was
constructed in \cite{gilupapo1,gilupapo2}, extending an earlier result
in \cite{hawhuntay} that was specific to five dimensions.  In both
cases, there are $[(D-1)/2]$ independent rotation parameters $a_i$,
characterising angular momenta in orthogonal spatial 2-planes.  The
general metrics are of cohomogeneity $[D/2]$, with principal orbits
${{\mathbb R}}\times U(1)^{[(D-1)/2]}$.  It was shown in \cite{vastpa} that the
Hamilton-Jacobi and Klein-Gordon equations are separable in all odd
dimensions $D$, if one make the specialisation that all $(D-1)/2$
rotation parameters $a_i$ are set equal.  This has the effect of
enhancing the symmetry of the principal orbits from ${{\mathbb R}}\times
U(1)^{(D-1)/2}$ to ${{\mathbb R}}\times U((D-1)/2)$, and reducing the cohomogeneity
from $(D-1)/2$ to 1.  In fact, the enhanced manifest symmetry in this
case is already sufficient to permit the separability, without the
need for any additional hidden symmetry.  Indeed, it was shown in
\cite{vastpa} that the Killing tensor in this case is reducible, being a linear
combination of direct products of Killing vectors.  A non-trivial,
irreducible, Killing tensor was found to exist in the case where all
rotation parameters except one are vanishing \cite{chgilupo}.
Irreducible Killing tensors were also shown to exist in the special
case of the five-dimensional asymptotically flat metric of
\cite{myeper}, for arbitrary values of the two rotation parameters
\cite{frosto}.  In the case of rotating AdS black holes in five
dimensions, the separability, and associated irreducible Killing
tensor, were found in \cite{kunluc}.

    A feature common to all the known cases exhibiting the phenomenon
of separability is that the metric in question is of cohomogeneity
$\le 2$.  A natural next step, in the investigation of separability,
is therefore to examine all the $D$-dimensional rotating black holes
under the appropriate specialisation of parameters that reduces their
cohomogeneity from $[D/2]$ to 2. In fact, the $D$-dimensional rotating
AdS black holes with this specialisation were studied recently in
\cite{chlupo}, and it was shown that they admit a generalisation in which
a NUT parameter is introduced.  Specifically, the specialisation that
reduces the cohomogeneity to 2 is achieved by taking sets of rotation
parameters to be equal in an appropriate way.

    In odd dimensions, $D=2n+1$, cohomogeneity 2 is achieved by
dividing the $n=p+q$ rotation parameters $a_i$ into two sets, with
$p$ of them equal to $a$, and the remaining $q$ parameters equal to $b$.
At the same time, the isometry group enlarges from ${{\mathbb R}}\times U(1)^{p+q}$
to ${{\mathbb R}}\times U(p)\times U(q)$.

   In even dimensions $D=2n$, cohomogeneity 2 is achieved by
instead dividing the $n-1=p+q$ rotation
parameters into a set of $p$ that are taken to equal $a$, with the remaining
$q$ parameters taken to be zero.  In this case, the isometry group enlarges
from ${{\mathbb R}}\times U(1)^{p+q}$ to ${{\mathbb R}}\times U(p)\times SO(2q+1)$.

   In this paper, we shall show that all these cohomogeneity-2 Kerr-AdS
metrics have the property that the Hamilton-Jacobi equation and the
Klein-Gordon equation are separable.  Furthermore, we show that this
property persists when the NUT parameter introduced in \cite{chlupo}
is included.  We also obtain the 2-index Killing tensor $K_{\mu\nu}$ that
is associated with the hidden symmetry responsible for allowing
the equations to separate.  Unlike the case of the further specialisation
to cohomogeneity 1 in odd dimensions that was studied in \cite{vastpa},
in these cohomogeneity-2 cases the Killing tensor is irreducible.

   We also study some further properties of the cohomogeneity-2 Kerr-AdS-NUT
metrics that were obtained in \cite{chlupo}.  In particular, we examine
the case where one adjusts the NUT parameter so that the two adjacent
roots of the metric function whose vanishing defines the endpoints of
the range of one of the inhomogeneous coordinates become coincident.  After
appropriate scalings, this limit yields NUT-type metrics of cohomogeneity 1,
which in some special cases coincide with NUT generalisations obtained
previously in \cite{manste}.

\section{Separability in $D=2n$ Dimensions}\label{evenhjsec}

    It was shown in \cite{chlupo} that if one sets $p$ rotation parameters
$a_i$ equal to $a$, and the remaining $q$ rotation parameters to zero in
general Kerr-AdS metrics of \cite{gilupapo1,gilupapo2} in dimension
$D=2n$, where $p+q=n-1$,
then one can introduce a NUT parameter $L$ to complement the mass parameter
$M$, with the metric being given by
\begin{eqnarray}
ds^2&=&\fft{r^2 +v^2}{X} dr^2 + \fft{r^2 + v^2}{Y} dv^2 -
\fft{X}{r^2 + v^2} \Big(dt - \fft{a^2 - v^2}{a\,\Xi_a}
 (d\psi + A)\Big)^2\label{evenmetric} \\
&& + \fft{Y}{r^2 + v^2}
  \Big(dt - \fft{a^2 + r^2}{a\, \Xi_a} (d\psi + A)\Big)^2
+ \fft{(a^2 + r^2) (a^2 - v^2)}{a^2\Xi_a}d\Sigma_{p-1}^2 +
\fft{r^2 v^2}{a^2} d\Omega_{2q}^2\,.\nonumber
\end{eqnarray}
Here,  $d\Omega_{2q}^2$ is the metric on the unit sphere $S^{2q}$,
$d\Sigma_{p-1}^2$ is the standard Fubini-Study metric on the ``unit''
complex projective space ${{\mathbb C}{\mathbb P}}^{p-1}$ with K\"ahler form $J=\ft12 dA$,
and the metric functions $X$ and $Y$ are given by
\begin{eqnarray}
X&=& (1 + g^2 r^2) (r^2 + a^2) - \fft{2M\, r}{(r^2 + a^2)^{p-1}\,
r^{2q}}\,,\nonumber\\
Y&=&(1-g^2 v^2) (a^2 - v^2) - \fft{2L\,v}{(a^2 - v^2)^{p-1}\,
v^{2q}}\,.
\end{eqnarray}
It should be noted that one can replace the unit-sphere metric
$d\Omega_{2q}^2= \gamma_{ij}\, dx^i dx^j$
by any $(2q)$-dimensional Einstein metric normalised to $R_{ij} = (2q-1)\,
  \gamma_{ij}$, and the Fubini-Study metric $d\Sigma_{p-1}^2 =
   h_{mn}\, dx^m dx^n$ on ${{\mathbb C}{\mathbb P}}^{p-1}$ can be
replaced by any Einstein-K\"ahler $(2p-2)$-metric normalised to
$R_{mn}= 2p h_{mn}$, and one again has a local solution of the Einstein
equations.

   It is not hard to see that the inverse of the metric
(\ref{evenmetric}), which we can write as
$(\partial/\partial s)^2 \equiv g^{\mu\nu}\, \partial_\mu\partial_\nu$, is given by
\begin{eqnarray}
(r^2 + v^2)\Big(\inv s\Big)^2 &=& X\Big(\inv r\Big)^2 + Y\Big(\inv v\Big)^2 -
\frac{1}{X}\left((r^2 + a^2)\inv t + a \Xi_a \inv \psi
\right)^2\nonumber\\
&&+\frac{1}{Y}\left((a^2 - v^2)\inv t +
a \Xi_a \inv \psi \right)^2
+ \; a^2(\frac{1}{r^2} + \frac{1}{v^2})\Big(\inv \Omega\Big)^2
\label{eveninvmet}  \\
&&- \; a^2 \Xi_a \Big(\frac{1}{r^2 + a^2} - \frac{1}{a^2 - v^2}\Big)
h^{m n}
\Big(\partial_m - A_m \inv \psi\Big)\Big(\partial_n - A_n \inv \psi\Big)
\,,\nonumber
\end{eqnarray}
where $A_m$ are the components of the 1-form $A$, $(\inv \Omega)^2= \gamma^{ij}
\partial_i \partial_j$ is the
inverse of the metric on the unit $(2q)$-sphere, and
$h^{m n}$ are the components of the inverse of the Fubini-Study
metric on ${{\mathbb C}{\mathbb P}}^{p-1}$.

\subsection{Separability of the Hamilton-Jacobi equation}

   The covariant Hamiltonian function on the cotangent bundle of the metric
(\ref{evenmetric}) is given by
\begin{equation}
{\cal H}({\cal P}_\mu, x^\mu) \equiv \ft12 g^{\mu\nu}\, {\cal P}_\mu\, {\cal P}_\nu\,,
\end{equation}
where ${\cal P}_\mu$ are the canonical momenta conjugate to the coordinates
$x^\mu$.  In terms of Hamilton's principle function $S$, one has
${\cal P}_\mu=\partial_\mu S$, and the Hamilton-Jacobi equation is given by
\begin{equation}
 {\cal H}(\partial_\mu S, x^\mu) = -\ft12 \mu^2\,.
\end{equation}
It is evident from (\ref{eveninvmet}) that the Hamilton-Jacobi equation
admits separable solutions of the form
\begin{equation}
S= -E t + J_\psi\, \psi  + F(r) + G(v) + P + Q\,,\label{evensep}
\end{equation}
where $P$ is a function of the ${{\mathbb C}{\mathbb P}}^{p-1}$ coordinates only, and $Q$ is
a function of the $S^{2p}$ coordinates only. We introduce separation
constants $K_\Sigma$ and $K_\Omega$ for the functions on these spaces,
so that
\begin{equation}
\Big(\fft{\partial Q}{\partial\Omega}\Big)^2 = K_\Omega^2\,,\qquad
h^{mn}\, (\partial_m P - J_\psi\, A_m P)(\partial_n P - J_\psi\, A_n P)=
 K_\Sigma^2\,.
\end{equation}

   From the above, we can read off the remaining non-trivial equations for
the functions $F(r)$ and $G(v)$ in (\ref{evensep}), finding
\begin{eqnarray}
-2\kappa &=& X {F'}^2 - \fft1{X} \Big(E(r^2+a^2) - a \Xi_a J_\psi\Big)^2 +
  \fft{a^2 K_\Omega^2}{r^2} - \fft{a^2\Xi_a K_\Sigma^2}{r^2+a^2}
       + \mu^2 r^2\,,\nonumber\\
2\kappa &=& Y {\dot G}^2 + \fft1{Y} \Big(E(a^2-v^2) - a \Xi_a J_\psi\Big)^2 +
  \fft{a^2 K_\Omega^2}{v^2} + \fft{a^2\Xi_a K_\Sigma^2}{a^2-v^2}
       + \mu^2 v^2\,,\label{kappaeqn}
\end{eqnarray}
where $F'$ denotes $dF/dr$, $\dot G$ denotes $dG/dv$, and $\kappa$ is the
separation constant associated with the non-trivial hidden symmetry that
permits the separation of the Hamilton-Jacobi equation.

   Note that the separation demonstrated thus far works equally well
if $d\Sigma_{p-1}^2$ is any $(2p-2)$-dimensional Einstein-K\"ahler
metric and $d\Omega_{2q}^2$ is any Einstein metric with the same
scalar curvatures as the ${{\mathbb C}{\mathbb P}}^{p-1}$ and $S^{2q}$ metrics
respectively.  A complete separability, in which the functions $P$ and
$Q$ are themselves fully separated, depends upon the complete
separability of the Hamilton-Jacobi equations in these two spaces.  In
particular, this is possible whenever they are homogeneous spaces, as
is the case for ${{\mathbb C}{\mathbb P}}^{p-1}$ and $S^{2q}$.  Note that in the case of
the Einstein-K\"ahler space, the relevant Hamilton-Jacobi equation is
the one describing a particle of charge $J_\psi$ in geodesic motion,
with minimal coupling to the potential $A$ whose field
strength is $2J$, where $J$ is the K\"ahler form.

   Following the discussion in \cite{chgilupo}, we note that
associated with the separation constant $\kappa$ is a Poisson
function ${\cal K}$, which Poisson commutes with the Hamiltonian
${\cal H}$.  The function ${\cal K}$ is equal to the separation
constant $\kappa$ if the Hamilton-Jacobi equations are satisfied, and so
we can simply read it off from either of the equations in (\ref{kappaeqn}),
or any linear combination thereof. Thus, for example, from the first
equation in (\ref{kappaeqn}) we may read off
\begin{eqnarray}
{\cal K} &=& -\ft12X {\cal P}_r^2 + \fft1{2X}
  \Big((r^2+a^2){\cal P}_t + a \Xi_a {\cal P}_\psi\Big)^2 -
  \fft{a^2 {\cal P}_\Omega^2}{2r^2}  +\ft12 r^2g^{\mu\nu}\,{\cal P}_\mu {\cal P}_\nu \nonumber\\
&&+ \fft{a^2\Xi_a}{2(r^2+a^2)}\,
   h^{mn}({\cal P}_m- A_m {\cal P}_\psi)({\cal P}_n-A_n {\cal P}_\psi)\,,\label{calK0}
\end{eqnarray}
where ${\cal P}_\Omega^2 \equiv \gamma^{ij} {\cal P}_i {\cal P}_j$ and
$\gamma^{ij}$ is the inverse metric
on the unit sphere $S^{2q}$.  An alternative way of writing ${\cal K}$,
which puts the $r$ and $v$ coordinates on an equivalent footing, is
to take the linear combination of the two equations in
(\ref{kappaeqn}) that eliminates $\mu^2$, yielding
\begin{eqnarray}
{\cal K} &=& \fft1{2(r^2+v^2)}\, \Big[ \fft{v^2}{X}\, [( r^2+a^2) {\cal P}_t
   + a\Xi_a {\cal P}_\psi]^2 + \fft{r^2}{Y}\, [(a^2-v^2) {\cal P}_t +
a\Xi_a {\cal P}_\psi]^2 \nonumber\\
&&\qquad\qquad\qquad
    - v^2 X {\cal P}_r^2 + r^2 Y {\cal P}_v^2\Big]+ \fft{a^2}{2} \Big(\fft1{v^2}
- \fft1{r^2}\Big) {\cal P}_\Omega^2 \nonumber\\
&&
 + \fft{a^2+r^2-v^2}{2(r^2+a^2)(a^2-v^2)}\, h^{mn} ({\cal P}_m - A_m {\cal P}_\psi)
({\cal P}_n - A_n {\cal P}_\psi)\,,\label{calK}
\end{eqnarray}

   The function ${\cal K}$ defines a
St\"ackel-Killing tensor with components $K^{\mu\nu}$, given by
\begin{equation}
{\cal K} = \ft12 K^{\mu\nu}\, {\cal P}_\mu {\cal P}_\nu\
\end{equation}
Thus the components $K^{\mu\nu}$ can be read off trivially from (\ref{calK0})
or (\ref{calK}) by inspection.  The St\"ackel-Killing tensor satisfies
\begin{equation}
\nabla_{(\mu}\, K_{\nu\rho)}=0\,,
\end{equation}
by virtue of the fact that ${\cal K}$ Poisson commutes with ${\cal H}$.

\subsection{Separability of the Klein-Gordon equation}

    The separability of the Klein-Gordon equation is closely related
to that of the Hamilton-Jacobi equation.  A key observation, which can
easily be seen from (\ref{evenmetric}), is that
\begin{equation}
\sqrt{-g} = a^{1-2p-2q}\, \Xi_a^{-p}\, (r^2+a^2)^{p-1}\, (a^2-v^2)^{p-1}\,
r^{2q}\, v^{2q}\, \sqrt{h}\, \sqrt{\gamma}\, (r^2+v^2)\,.
\end{equation}
Aside from the factor $(r^2+v^2)$, the coordinate dependence of
$\sqrt{-g}$ therefore factorises into a product of a function of $r$,
a function of $v$, a function of the $S^{2q}$ coordinates and
a function of the ${{\mathbb C}{\mathbb P}}^{p-1}$ coordinates.  Since the Laplacian is given by
\begin{equation}
\mathord{\dalemb{6.8}{7}\hbox{\hskip1pt}} = \fft1{\sqrt{-g}}\, \partial_\mu\Big( \sqrt{-g}\, g^{\mu\nu}\, \partial_\nu
           \Big)\,,
\end{equation}
it follows from (\ref{eveninvmet}) that the Klein-Gordon equation
$\mathord{\dalemb{6.8}{7}\hbox{\hskip1pt}} f = \lambda f$ becomes
\begin{eqnarray}
&&\fft1{(r^2+a^2)^{p-1}\, r^{2q}}\, \fft{\partial}{\partial r}\,
 \Big( (r^2+a^2)^{p-1}\,
       r^{2q}\, X\, \fft{\partial f}{\partial r}\Big)\nonumber\\
&& +
\fft1{(a^2-v^2)^{p-1}\, v^{2q}}\, \fft{\partial}{\partial v}\, \Big( (a^2-v^2)^{p-1}\,
       v^{2q}\, Y\, \fft{\partial f}{\partial v}\Big) \nonumber\\
&& - \fft1{X}\Big( (r^2+a^2) \fft{\partial}{\partial t} +
    a \Xi_a\, \fft{\partial}{\partial \psi}\Big)^2\, f  +
 \fft1{Y}\Big( (a^2-v^2) \fft{\partial}{\partial t} +
    a \Xi_a\, \fft{\partial}{\partial \psi}\Big)^2\, f  \\
&& + a^2\Big(\fft1{r^2} + \fft1{v^2}\Big)\, \fft1{\sqrt{\gamma}}
\, \partial_i(\sqrt{\gamma}\, \gamma^{ij}\,\partial_j f) \nonumber\\
&&
-a^2\Xi_a\,
\Big(\fft1{r^2+a^2} - \fft1{a^2-v^2}\Big)\,\fft1{\sqrt{h}}\,
   D_m(\sqrt{h} \, h^{mn}\, D_n f) = \lambda\, (r^2+v^2)\, f\,, \nonumber
\end{eqnarray}
where $D_m\equiv \partial_m - A_m\, \partial/\partial\psi$.  It is manifest that
the equation can be separated by writing $f$ as a product of
functions of $r$, $v$, $\psi$, the $S^{2q}$ coordinates and the
${{\mathbb C}{\mathbb P}}^{p-1}$ coordinates.  Of course the complete separability of
the equation depends upon the fact that one can fully separate the
Klein-Gordon equations on $S^{2q}$ and ${{\mathbb C}{\mathbb P}}^{p-1}$, by virtue of
the homogeneity of these spaces.

\section{Separability in $D=2n+1$ Dimensions}

    It was shown in \cite{chlupo} that if one sets $p$ rotation parameters
$a_i$ equal to $a$, and the remaining $q$ rotation parameters equal to $b$ in
general Kerr-AdS metrics of \cite{gilupapo1,gilupapo2} in dimension
$D=2n+1$, where $p+q=n$,
then one can introduce a NUT parameter $L$ to complement the mass parameter
$M$, with the metric being given by
\begin{eqnarray}
ds^2 &=&\fft{r^2+v^2}{X}\, dr^2 + \fft{r^2+v^2}{Y}\,dv^2 +
  \fft{(r^2+a^2)(a^2-v^2)}{\X_a (a^2-b^2)}\, d\Sigma_{p-1}^2 +
   \fft{(r^2+b^2)(b^2-v^2)}{\Xi_b (b^2-a^2)}\, d\widetilde\Sigma_{q-1}^2\nonumber\\
\!\!&&\!\! +
\fft{a^2b^2}{r^2v^2}\, \Big[ dt - (r^2-v^2)d\phi - r^2 v^2
d\psi -
       \fft{(r^2+a^2)(a^2-v^2)}{a \Xi_a (a^2-b^2)} A -
       \fft{(r^2+b^2)(b^2-v^2)}{b\Xi_b(b^2-a^2)} B\Big]^2\nonumber\\
&& - \fft{X}{r^2+v^2}\, \Big[ dt + v^2 d\phi -
        \fft{a(a^2-v^2)}{\Xi_a(a^2-b^2)}\, A -
            \fft{b(b^2-v^2)}{\Xi_b (b^2-a^2)}\, B\Big]^2\nonumber\\
&&+ \fft{Y}{r^2+v^2}\, \Big[ dt - r^2 d\phi -
        \fft{a(r^2+a^2)}{\Xi_a(a^2-b^2)}\, A -
         \fft{b(r^2+b^2)}{\Xi_b (b^2-a^2)}\, B\Big]^2\,,
\label{oddmetric}
\end{eqnarray}
where
\begin{eqnarray}
X &=&
  \fft{(1+g^2 r^2)(r^2+a^2)(r^2+b^2)}{r^2} - \fft{2M}{(r^2+a^2)^{p-1}\,
                (r^2+b^2)^{q-1}}\,,\nonumber\\
Y & =&
   \fft{-(1-g^2 v^2)(a^2-v^2)(b^2-v^2)}{v^2} +
  \fft{2L}{(a^2-v^2)^{p-1}\, (b^2-v^2)^{q-1}}\,.
\end{eqnarray}
Here, $d\Sigma_{p-1}^2$ and $d\widetilde\Sigma_{q-1}^2$ are the standard ``unit''
metrics on two complex projective spaces ${{\mathbb C}{\mathbb P}}^{p-1}$ and
${{\mathbb C}{\mathbb P}}^{q-1}$, with K\"ahler forms given locally by $J=\ft12 dA$ and
$\widetilde J= \ft12 dB$.  One can also obtain more general solutions by
replacing the complex projective spaces with their
Fubini-Study metrics by any other Einstein-K\"ahler metrics with the
same Ricci scalars.

    One can straightforwardly show that the inverse $(\partial/\partial s)^2$
of the metric (\ref{oddmetric}) is given by
\begin{eqnarray}
(r^2 + v^2)\Big(\inv s\Big)^2
   &=& X \Big(\inv r\Big)^2 + Y \Big(\inv v\Big)^2 +
         \frac{1}{a^2 b^2}\Big(\frac{1}{r^2} + \frac{1}{v^2}\Big)
\Big(\inv \psi\Big)^2
\nonumber \\
&& -\frac{1}{X}\left( r^2 \inv t + \frac{1}{r^2} \inv
         \psi + \inv \phi \right)^2 + \frac{1}{Y}\left( v^2 \inv t +
         \frac{1}{v^2} \inv \psi - \inv \phi \right)^2   \nonumber\\
&& -(a^2 - b^2) \,\Xi_a \,\Big(\frac{1}{r^2 + a^2} - \frac{1}{a^2 -
         v^2} \Big) \, h^{m n}\, D_m\, D_n \nonumber\\
&&
 -(b^2 - a^2) \,\Xi_b \,\Big(\frac{1}{r^2 + b^2} - \frac{1}{b^2 -
         v^2}\Big) \, \tilde h^{k\ell}\, \widetilde D_k\, \widetilde D_\ell\,,\label{oddinv}
\end{eqnarray}
where
\begin{eqnarray}
D_m &\equiv & \partial_m - \frac{a \, A_m}{(a^2-b^2) \Xi_a}\, \Big(\inv \phi -
            a^2 \inv t - \frac{1}{a^2}\inv \psi\Big)\,,\nonumber\\
\widetilde D_k &\equiv & \partial_k - \frac{b \,B_k}{(b^2-a^2) \Xi_b}
         \,  \Big(\inv \phi - b^2 \inv t - \frac{1}{b^2}\inv \psi\Big)\,,
\label{ddef}
\end{eqnarray}
and $h^{mn}$ and $\tilde h^{k\ell}$ are the inverses of the Fubini-Study
metrics $d\Sigma_{p-1}^2$ and $d\widetilde\Sigma_{q-1}^2$ on the complex
projective spaces ${{\mathbb C}{\mathbb P}}^{p-1}$ and ${{\mathbb C}{\mathbb P}}^{q-1}$.

\subsection{Separability of the Hamilton-Jacobi equation}

   Following analogous steps to those we described in section \ref{evenhjsec},
it can be seen that the Hamilton-Jacobi equation is separable, if we
write the Hamilton principle function as
\begin{equation}
S = -E t + J_\psi\, \psi + J_\phi\, \phi + F(r) + G(v) + P + \widetilde P\,,
\end{equation}
where $P$ depends only on the coordinates of ${{\mathbb C}{\mathbb P}}^{p-1}$, and $\widetilde P$
depends only on the coordinates of ${{\mathbb C}{\mathbb P}}^{q-1}$.  We have separation
constants $K_\Sigma$ and $K_{\widetilde\Sigma}$ associated with the two
complex projective space factors.  The Hamilton-Jacobi equations
in these two subspaces themselves describe particles of charges
$q$ and $\tilde q$ minimally coupled to the vector potentials
$A$ and $B$ respectively, where
\begin{equation}
q= \fft{a}{(a^2-b^2)\Xi_a}\, (J_\phi + a^2 E - \fft1{a^2} J_\psi)\,,
\qquad
\tilde q= \fft{b}{(b^2-a^2)\Xi_b}\, (J_\phi + b^2 E - \fft1{b^2} J_\psi)\,,
\end{equation}
and
\begin{equation}
h^{mn}\, (\partial_m P - q A_m)(\partial_n P - q A_n)=K_\Sigma^2\,,\qquad
 \tilde h^{k\ell}\, (\partial_k \widetilde P - \tilde q A_k)
     (\partial_\ell \widetilde P - \tilde q A_\ell)=K_{\widetilde\Sigma}^2\,.
\end{equation}

  From (\ref{oddinv}), it then follows that there is a further non-trivial
separation constant $\kappa$, leading to the equations
\begin{eqnarray}
-2\kappa &=& X {F'}^2 + \fft{J_\psi^2}{a^2 b^2 r^2} -
       \fft1{X}\, (E r^2 - \fft1{r^2} J_\psi - J_\phi)^2 \nonumber\\
&&  -\fft{(a^2-b^2) \Xi_a\, K_\Sigma^2}{r^2+a^2} -
   \fft{(b^2-a^2)\Xi_b\, K_{\widetilde\Sigma}^2}{r^2+b^2} + \mu^2\, r^2\,,\nonumber\\
2\kappa &=& Y {\dot G}^2 + \fft{J_\psi^2}{a^2 b^2 v^2} +
       \fft1{Y}\, (E v^2 - \fft1{v^2} J_\psi + J_\phi)^2 \nonumber\\
&&  +\fft{(a^2-b^2) \Xi_a\, K_\Sigma^2}{a^2-v^2} +
   \fft{(b^2-a^2)\Xi_b\, K_{\widetilde\Sigma}^2}{b^2-v^2} + \mu^2\, v^2\,.
\label{oddkappa}
\end{eqnarray}
We can then read off the associated Poisson function ${\cal K}$ that
commutes with the Hamiltonian ${\cal H}$, and which takes the constant
value $\kappa$ upon use of the Hamilton-Jacobi equations.  As in section
\ref{evenhjsec}, one can organise the expression for ${\cal K}$ in
different ways, depending on the choice of linear combination of the
two expressions in (\ref{oddkappa}) that one makes.  Thus, for example,
from the first expression we can write ${\cal K}$ as
\begin{eqnarray}
{\cal K} &=& -\ft12 X {\cal P}_r^2 - \fft{1}{2a^2 b^2 r^2}\, {\cal P}_{\psi}^2 +
       \fft1{2X}\, (r^2 {\cal P}_t + \fft1{r^2} {\cal P}_\psi + {\cal P}_\phi)^2 \nonumber\\
&&
  +\fft{(a^2-b^2) \Xi_a}{2(r^2+a^2)}\, {\cal P}_{\Sigma}^2  +
   \fft{(b^2-a^2)\Xi_b}{2(r^2+b^2)}\, {\cal P}_{\widetilde\Sigma}^2 +\ft12\, r^2\,
      g^{\mu\nu}\, {\cal P}_\mu {\cal P}_\nu\,,\label{calKodd0}
\end{eqnarray}
where
\begin{eqnarray}
{\cal P}_\Sigma^2 \!\!\!\!&\equiv& \!\!\!\!h^{mn}\,
         [{\cal P}_m\! -\! \fft{a A_m}{(a^2-b^2)\Xi_a}\,
 ({\cal P}_\phi -a^2 {\cal P}_t - \fft1{a^2} {\cal P}_\psi)]
[{\cal P}_n\! -\! \fft{a A_n}{(a^2-b^2)\Xi_a}\,
 ({\cal P}_\phi -a^2 {\cal P}_t - \fft1{a^2} {\cal P}_\psi)]\,, \nonumber\\
{\cal P}_{\widetilde \Sigma}^2 \!\!\!\!&\equiv& \!\!\!\!\tilde h^{k\ell}\,
         [{\cal P}_k\! -\! \fft{b B_k}{(b^2-a^2)\Xi_b}\,
 ({\cal P}_\phi -b^2 {\cal P}_t - \fft1{b^2} {\cal P}_\psi)]
[{\cal P}_\ell\! -\! \fft{b B_\ell}{(b^2-a^2)\Xi_a}\,
 ({\cal P}_\phi -b^2 {\cal P}_t - \fft1{b^2} {\cal P}_\psi)]\,.
\end{eqnarray}
The components of the associated Killing tensor $K_{\mu\nu}$ can
be read off directly from (\ref{calKodd0}), via ${\cal K}= \ft12 K^{\mu\nu}
 {\cal P}_\mu {\cal P}_\nu$.  Again, as in the even-dimensional case discussed in
section \ref{evenhjsec}, one can equivalently express ${\cal K}$ in a
more symmetrical fashion by taking the linear combination of the two
equations in (\ref{oddkappa}) that eliminates $\mu^2$.

\subsection{Separability of the Klein-Gordon equation}

   As in the case of even dimensions, here too the separability of the
Klein-Gordon equation is closely related to the separability of the
Hamilton-Jacobi equation.  Again, the key point is that $\sqrt{-g}$ has a
simple form, being proportional to $(r^2+v^2)$ times a product of
functions of $r$, $v$ and the coordinates on the two complex projective
spaces:
\begin{equation}
\sqrt{-g} = \fft{ab\, r\, v\, \sqrt{h}\, \sqrt{\tilde h}}{
    |a^2-b^2|^{n-2}\, \Xi_a^{p-1}\, \Xi_b^{q-1}}\,
   (r^2+a^2)^{p-1}\, (r^2+b^2)^{q-1}\, (a^2-v^2)^{p-1}\,
   (b^2-v^2)^{q-1}\, (r^2+v^2)\,.
\end{equation}
Together with the the expression (\ref{oddinv}) for the inverse metric,
we see that the Klein-Gordon equation $\mathord{\dalemb{6.8}{7}\hbox{\hskip1pt}} f = \lambda f$ assumes
the manifestly separable form
\begin{eqnarray}
&&\fft1{r(r^2+a^2)^{p-1} (r^2+b^2)^{q-1}}\, \inv{r}\,
      \Big(r(r^2+a^2)^{p-1}(r^2+b^2)^{q-1}\,X\, \fft{\partial f}{\partial r}\Big)
\nonumber\\
&&\fft1{v(a^2-v^2)^{p-1} (b^2-v^2)^{q-1}}\, \inv{v}\,
      \Big(v(a^2-v^2)^{p-1}(b^2-v^2)^{q-1}\,Y\, \fft{\partial f}{\partial v}\Big)\nonumber\\
&&-\fft1{X}\, \Big( r^2 \inv t + \fft1{r^2}\, \inv\psi +\inv\phi\Big)^2 f+
\fft1{Y}\, \Big( v^2 \inv t + \fft1{v^2}\, \inv\psi -\inv\phi\Big)^2 f+
\fft1{a^2 b^2}\, \Big(\fft1{r^2} +
  \fft1{v^2}\Big)\, \fft{\partial^2 f}{\partial\psi^2}\nonumber\\
&&-(a^2-b^2)\Xi_a\Big(\fft1{r^2+a^2} - \fft1{a^2-v^2}\Big)\,
    \fft1{\sqrt h}\, D_m(\sqrt{h}\, h^{mn} D_n f) \nonumber\\
&& - (b^2-a^2) \Xi_b\Big(\fft1{r^2+b^2} - \fft1{b^2-v^2}\Big)\,
   \fft1{\sqrt{\tilde h}}\, \widetilde D_k(\sqrt{\tilde h}\, \tilde h^{k\ell}\widetilde D_\ell f)
  = \lambda (r^2+v^2)f\,.
\end{eqnarray}
Note that $D_m$ and $\widetilde D_k$, defined in (\ref{ddef}), yield gauge
covariant derivatives acting on charged wavefunctions in the two complex
projective spaces, once one separates variables by writing $f$ as a
product of functions of the coordinates.  As in the previous discussions,
the complete separability of the system depends upon the separability
of the Klein-Gordon equations in the complex projective spaces.

\section{Specialisation to NUT Metrics of Cohomogeneity 1}

   The new NUT generalisations of the Kerr-AdS metrics that were found in
\cite{chlupo} all have cohomogeneity 2, and, as we have shown in this
paper, they all share the feature that the Hamilton-Jacobi equation and
the Klein-Gordon equation are separable in these backgrounds.  It is
also of interest to see how these cohomogeneity-2 Kerr-NUT-AdS metrics
reduce to certain previously-known solutions under specialisations of the
parameters.  In particular, we shall show that if one applies a limiting
procedure in which the cohomogeneity is reduced from 2 to 1, then the
resulting metrics include some higher-dimensional NUT metrics that were
obtained in \cite{manste}. As usual, the discussion divides into the
cases of even-dimensional metrics and odd-dimensional metrics.

\subsection{$D=2n$}

   Our starting point is the class of new even-dimensional
Kerr-NUT-AdS metrics that were obtained in \cite{chlupo}, and which take
the form  given in (\ref{evenmetric}).  The cohomogeneity can be reduced from
2 to 1 by specialising the parameters in such a way that the two adjacent
roots of the function $Y(v)$ that define the range of the $v$ coordinate
become coincident.  Provided the $v$ coordinate is rescaled appropriately
as the limit is taken, one obtains a non-singular metric that now no longer
has any dependence on the rescaled $v$ coordinate.

    The function $Y(v)$ acquires a double
root, at $v=v_0$, if the parameters $a$ and $L$ are chosen to satisfy
\begin{eqnarray}
L&=&L_0 \equiv \fft{(a^2-v_0^2)^{p+1} v_0^{2q-1}}{
(2q+1) a^2 - (2p+2q+1) v_0^2}\,,\nonumber\\
g^2 &=& \fft{(2q-1)a^2 - (2p+2q-1) v_0^2}{v_0^2 (
(2q+1) a^2 - (2p+2q +1) v_0^2)}\,.
\end{eqnarray}
In order to approach this limit with an appropriately rescaled $v$
coordinate, we define
\begin{equation}
v=v_0 + \epsilon\, \cos\chi\,,\qquad
L=L_0(1 + \epsilon^2\, c)\,,
\end{equation}
with the constant $c$ given by
\begin{equation}
c=\fft{a^4 (1-4q^2) + 2a^2(2q-1)(2p+2q+1)v_0^2 +
(1-4(p+q)^2) v_0^4}{2(a^2-v_0^2)^2 v_0^2}\,,
\end{equation}
where $\epsilon$ will shortly be sent to zero. The function $Y$ under
this limit becomes
\begin{equation}
Y = \epsilon^2 Y_0 \sin^2\chi\,,
\end{equation}
where
\begin{equation}
Y_0=\fft{2 (a-v_0)^2c}{(2p+2q+1) v_0^2-(2q+1)a^2}\,.
\end{equation}
In order for the metric (\ref{evenmetric}) to be nonsingular in the
limit, we must also make the coordinate transformations
\begin{equation}
\psi\rightarrow \fft{a\,\Xi_a}{\epsilon\, Y_0} \tilde\psi\,,\qquad
t\rightarrow t + \fft{a^2 - v_0^2}{\epsilon\, Y_0}\, \psi\,.
\end{equation}
Sending $\epsilon$ to zero, the metric (\ref{evenmetric}) then becomes
\begin{eqnarray}
ds^2 &=& - \fft{X}{r^2 + v_0^2} (dt + \fft{2v_0}{Y_0} \cos\chi\, d\psi
-\fft{a^2-v_0^2}{a\,\Xi_a} A)^2 + \fft{r^2 + v_0^2}{X} dr^2\nonumber\\
&&+\fft{(r^2+v_0^2)}{Y_0}(d\chi^2 + \sin^2\chi\, d\psi^2) +
\fft{r^2 + a^2}{a^2\, \Xi_a} d\Sigma_{p-1}^2 + \fft{r^2 v_0^2}{a^2}
d\Omega_{2q}^2\,.\label{evennut}
\end{eqnarray}

   The metrics (\ref{evennut}) are contained within a rather general class
of cohomogeneity-1 NUT metrics that were obtained in \cite{manste}. The
case $p=1$ and $q=0$ reduces to the standard Taub-NUT-AdS metric
in four dimensions.

\subsection{$D=2n+1$}

    In odd dimensions, our starting point is the cohomogeneity-2
Kerr-NUT-AdS metrics found in \cite{chlupo}, and presented in
equation (\ref{oddmetric}).

    Proceeding in an analogous fashion to the discussion we gave in
even dimensions, we first consider the conditions under
which $Y$ has a double root, at $v=v_0$.  This happens when
the constants $L$, $a$ and $b$ are chosen such that
\begin{eqnarray}
L&=&L_0\equiv \fft{(a^2-v_0^2)^p (b^2-v_0^2)^q (1- g^2 v_0^2)}{
2v_0^2}\,,\nonumber\\
g^2&=& \fft{a^2b^2 + (a^2(q-1) + b^2(p-1))v_0^2 -(p+q-1) v_0^4}{
(a^2 q + b^2 p -(p+q) v_0^2)v_0^4}\,.
\end{eqnarray}
Next, we deform away slightly from the double root, and introduce a new
coordinate $\chi$ in place of $v$:
\begin{equation}
v=v_0 + \epsilon\, \cos\chi\,,\qquad
L=L_0(1 + \epsilon^2\, c)\,,
\end{equation}
where the constant $c$ is given by
\begin{eqnarray}
c&=&\fft{2}{(a^2-v_0^2)^2 (b^2 - v_0^2)^2}
\Big(-2a^2 b^2 (a^2q + b^2 p) -
(a^4q(q-1) + b^4p(p-1)\\
&&\qquad+ 2a^2b^2 (pq - 2p-2q)) v_0^2
+2(p+q)(a^2(q-1) + b^2(p-1)) v_0^4\nonumber\\
&&\qquad\qquad - (p+q)(p+q-1) v_0^6\Big)\,.\nonumber
\end{eqnarray}
The function $Y$ in this limit becomes
\begin{equation}
Y=\epsilon^2 Y_0\, \sin^2\chi\,,
\end{equation}
where
\begin{equation}
Y_0=\fft{(a^2-v_0^2)^2(b^2-v_0^2)^2\,c}{v_0^4((p+q)
v_0^2 - a^2 q - b^2 p)}\,.
\end{equation}
Making the further coordinate transformation
\begin{equation}
t\rightarrow t - \fft{v_0^2\phi}{\epsilon\,Y_0}\,,\qquad
\phi\rightarrow \fft{\phi}{\epsilon\,Y_0}\,,\qquad
\psi\rightarrow -\fft{\phi}{v_0^2\epsilon\, Y_0} -
\fft{\psi}{v_0^4}\,,
\end{equation}
we can now obtain a smooth limit in which $\epsilon$ is sent to
zero, for which the metric (\ref{oddmetric}) becomes
\begin{eqnarray}
ds^2&=&-\fft{X}{r^2 + v_0^2}\Big[dt + \fft{2v_0}{Y_0}\cos\chi\,
d\phi -\fft{a(a^2-v_0^2)}{\Xi_a(a^2 - b^2)}A -
-\fft{b(b^2-v_0^2)}{\Xi_b(b^2 - a^2)}B\Big]^2\nonumber\\
&&+\fft{a^2b^2}{r^2v_0^2} \Big[ dt +
\fft{2v_0}{Y_0}\cos\chi\, d\phi +
\fft{r^2}{v_0^2}(d\psi + \fft{2v_0}{Y_0}\cos\chi\,d\phi)
-\fft{(r^2+a^2)(a^2-v_0^2)}{a\Xi_a (a^2-b^2)} A\nonumber\\
&&-\fft{(r^2 +b^2)(b^2-v_0^2)}{b\Xi_b (b^2-a^2)} B\Big]^2
+\fft{r^2+ v_0^2}{X} dr^2 + \fft{r^2 + v_0^2}{Y_0}(d\chi^2 +
\sin^2\chi\, d\phi^2)\nonumber\\
&&+\fft{(r^2+a^2)(a^2-v_0^2)}{\Xi_a(a^2-b^2)} d\Sigma_{p-1}^2
+\fft{(r^2+b^2)(b^2-v_0^2)}{\Xi_b(b^2-a^2)} d\widetilde\Sigma_{q-1}^2
\,.
\end{eqnarray}
This metric is contained within the class of cohomogeneity-1 NUT
generalisations that were considered in \cite{manste}.

\section{Conclusions}

    The separability of the Hamilton-Jacobi
and Klein-Gordon equations in the background of a rotating four-dimensional
black hole played an important r\^ole in the construction of generalisations
of the Kerr metric, and in the uncovering of hidden symmetries associated
with the existence of Killing tensors.  In this paper, we have shown that
the Hamilton-Jacobi and Klein-Gordon equations are separable in Kerr-AdS
backgrounds in all dimensions, if one specialises the rotation parameters
so that the metrics have cohomogeneity 2.  Furthermore, we have shown that this
property of separability extends to the NUT generalisations of these
cohomogeneity-2 black holes that we obtained in \cite{chlupo}.  In all
these cases, we also constructed the associated irreducible rank-2 Killing
tensor whose existence reflects the hidden symmetry that leads to
the separability.  We also considered some cohomogeneity-1 specialisations
of the new Kerr-NUT-AdS metrics, and showed how they relate to previous
results in the literature \cite{manste}.

   The results on separability that we have obtained in this paper
raise the interesting question of whether it might extend to the
higher-dimensional rotating black holes with more general choices for
the rotation parameters, and thus having cohomogeneity larger than 2.
This question is currently under investigation.

redpajama_set_name: RedPajamaArXiv


text:
RT Arabic (anciennement Rusiya Al-Yaum) est une chaîne de télévision d'information en continu russe en langue arabe fondée le . Cette version en arabe de Russia Today est destinée à rehausser l'opinion du public arabophone à propos de la Russie, mais également à participer à la bataille de l'information dans le monde arabe, entre les différentes chaînes d'information des pays arabes, anglo-saxons et européens (Al Jaazera, BBC, CNN Arabic, Euronews).

La chaîne est la propriété de l'agence gouvernementale Ria Novosti, qui l'abrite dans ses locaux moscovites.

Articles connexes
 RT
 RT France
 Liste des chaînes de télévision d'information en continu

Lien externe

Chaîne de télévision en Russie
Chaîne de télévision internationale
Chaîne de télévision d'information en continu
Chaîne de télévision en arabe
RT

redpajama_set_name: RedPajamaWikipedia


WineOpeners.com offers a wide variety of wine bottle stoppers that can be personalized with your company name and/or logo. We have wood bottle stoppers, metal bottle stoppers, plastic bottle stoppers and combination wine stopper/pourers. We also offer combination champagne/wine stoppers. Be sure to also check out our wine preservation tools.


Keith and Rachel Gill owned a FedEx Ground route contract but are currently unemployed after being unable to meet the company's new requirement for contractors.
Keith and Rachel Gill, a Silt couple jumping on what looked like a bright business opportunity, didn't foresee that in only a year they would be unemployed, nearly $100,000 in debt and living out of a popup camper.
Both were looking for a career change in the summer of 2015, and an opportunity to buy a FedEx Ground route covering Silt and New Castle seemed nearly perfect. The job would allow them more flexibility, and the Gills estimated they could work for the next 10 years and retire.
"There were a lot more pros than cons about the opportunity, which didn't seem like one that would come around too often," said Keith.
"As a retired veteran, one of my goals was to eventually have my own business," said Keith, who retired from the Air Force in 1999 after 20 years working in nuclear command and control.
"We put every last cent we had into FedEx Ground as contractors," said his wife, Rachel. This required that they purchase the route contract and eventually three delivery vehicles and other equipment. They went into debt, took out their life savings, borrowed from family.
A few months in they'd invested about $150,000 into the business.
They had a tag-team operation, what they called a "small mom-and-pop business." Rachel covered the rural routes while Keith handled the routes within town limits. In a typical day they delivered to about 100 to 125 stops, covering about 300 miles per day combined. The Gills said they received high praise from customers and the company for their deliveries.
But in only six months, this business venture would take a 180-degree turn, said the Gills.
In January of this year "FedEx Ground announced plans to implement independent service provider (ISP) agreements across its entire U.S. pickup and delivery network, including Colorado," Perry Colosimo, managing director of communications for FedEx Ground, said in an email to the Post Independent.
The Gills said this new model for contractors was essentially forcing them to either triple the size of their territory or get out.
Operating in only one "primary service area," the Gills were told they would have to buy another two service areas. They didn't have the money to do this, and even if they did, no contractors in the area were selling.
The Gills said before joining FedEx Ground, they heard rumors about the move to the ISP model. "But [the company] said, 'Don't worry about it. Get it out of your mind. If it does happen it will be several years down the line, and you'll have plenty of time to deal with it,'" said Keith.
"Looking back now, they should have never allowed us to sign that contract when in six months they were going to come out with this. They knew about it back then," said Rachel.
"But we never had that warning before we put this money into the business," said Keith.
The Gills said they reached out to the company to explain their situation and limitations. Garfield County and Pitkin County communities being in tight corridors meant their options for expansion were restricted.
The couple estimated they would need $300,000 to recoup what their business and routes were worth and lost wages. They requested the company reimburse them this amount, but FedEx Ground responded that it was not in a position to do so.
"We wanted FedEx [Ground] to just help us out because we feel they were at fault for not telling us when we signed the contract," said Rachel.
"Our transition to ISP agreements is progressing smoothly and will continue in phases through mid-2020. Affected business owners such as the Gills … are being offered monetary incentives and time to make decisions regarding their transition options," wrote Colosimo.
FedEx Ground was offering $10,000 in assistance to independent contractors to help them transition to either grow or get out of the business, said Rachel.
But accepting that money required them to sign a limited release liability statement, said Keith.
The Gills didn't take the money because they believe there's a possibility of a class-action lawsuit — which they couldn't be a party to if they signed the statement.
The company's contract relations department also suggested the Gills shadow another contractor. "In a nutshell to give up the name of our business and work for another business," said Keith.
Their dream of owning their own business would be gone.
"We would make no decisions for our own company. We didn't want that; we wanted our own company. So when they told us that, it was almost like a slap in the face," said Keith.
The Gills said they were left with no choice but to sell their company for a fraction of what they'd invested and still be left with the vast majority of the debt they'd taken on.
Keith Gill said they were employed briefly by the Aspen company that bought them out to train them on their new route. The couple is now unemployed.
In total the Gills are nearly $100,000 in debt, and they're still stuck with one of their delivery trucks that the Aspen contractor didn't need.
The Gills have moved out of their Silt home, which they're renting out to cover the mortgage. Now they're looking at the prospect of living out of their camper for the next six months to a year, and they've hit the road to look for work in the southeastern U.S. to escape the Colorado winter.


text:
Qualis rex, talis grex è una locuzione latina che letteralmente significa "tale re, tale gregge".

Questo detto fu utilizzato per la prima volta da re Alfonso V d'Aragona (1416-1458). Bisogna anche tener conto che la parola "grex" ha più un significato figurato che realistico, quindi si tende a tradurre con gente oppure popolo. In realtà questo detto fu l'introduzione di un trafelato discorso al popolo: Qualis rex, talis grex, si bene rex, bene vult grex.

È un senso di vicinanza tra il re e il suo gregge, che sarebbe il suo popolo, quindi si può utilizzare per evidenziare la somiglianza tra il capo e il suo gruppo, proprio come è spiegato nella parte seguente del discorso di Alfonso V.

Voci correlate
 Locuzioni latine

Frasi latine


Over recent years we've seen a big shift in the way in which people work.
and balancing parental life with working life continues to be a big issue.
been forced to leave their work when flexible working was not allowed.
making sure that this becomes the norm rather than 'special treatment'.
work when they accomplish most, feel freshest, and enjoy working.
absenteeism, increase productivity and enhance employee engagement.
and the employer can often lead to an outcome that works for everyone.


text:
Tálamo (do grego thálamos = quarto, câmara) pode referir-se a:

 leito nupcial e por extensão, o quarto onde o casal tem sua intimidade. Na acepção moderna, é um dos sinônimos para o casamento;
 em botânica, é sinónimo de receptáculo floral;
 em anatomia humana, tálamo é uma parte do encéfalo.

Desambiguação


* International students seeking admission into the full time programmes must meet the minimum English Proficiency requirements. These are 6.0 (for IELTS) and 550 (paper-based test), 213 (computer-based test) or 78 (Internet-based test) for TOEFL.
The Grad DipCS aims to provide Christians from all walks of life a foundational understanding of Christian faith and practice, and how the Gospel relates to contemporary culture & society.
Christians interested in developing an integrated biblical world view for effective service in the Church and the marketplace.
evening and in private study format. Given the wide range of options offered by thecombination of TTC's and BGST's resources, you should find it easier to complete the DipTS.
Foundational knowledge in biblical studies, theology, church history and spirituality, and skills in contextualizing the Gospel in the post-modern world.
They may also specialize in one of 4 concentrations: biblical studies, spiritual theology, marketplace studies and interdisciplinary studies.
in a 2 year field education internship.
A minimum qualification of 'A' levels.
A minimum qualification of Bachelor's degree from a recognized institution with equivalent or a minimum GPA of 2.5 out of a possible 4.0 for any one of the BGST Certificates (CBS, CTS or CFV).
Note: The minimum average grade for graduation isGPA of2.8.
A minimum qualification of Bachelor's degree from a recognized institution or Graduate Diploma in Christian Studies with a minimum GPA of 3.0 out of a possible 4.0.
Note: The minimum average grade for graduation is GPA of 3.0.
Note:The minimum average grade for graduation is GPA of 3.0.


text:
T-Pain Recounts Hilarious, Unexpected Phone Call With Prince
Traphouse Fact: 2 Chainz Is Working On Eminem's Next Album
By Darryl Robertson
Darryl Robertson
Plus Icon darry_robertson
More Stories by Darryl
Ex-NFL Running Back, Chris Johnson, Accused Of Murder-For-Hire
Trae Young, Chauncey Billups, Zach LaVine And Others Compete In NBA's HORSE Challenge
Rapper And Model Chynna Rogers Dies at 25
July 10, 2017 12:51pm
2 Chainz can be called a lot of things. He's no slouch when it comes to lyrics, and we're not the only people who believe this. According to the Atlanta rapper, Eminem called him to work on his upcoming album.
2 Chainz's 'Pink Trap House' Will Offer Free HIV Testing
Tity Boi recently paid a visit to DJ Drama's Shade 45 Streets Iz Watchin' show where the "4 AM" rapper recounted his experiences with Slim Shady. Chainz also confirmed that they have new music on the way. He says producer Denaun Porter is responsible for bringing the two together.
"That's how I know I can rap," said 2 Chainz during the interview with Drama. "He [Eminem] didn't want to talk about nothing but rapping. That was a great phone call to get."
2 Chainz's 'Pretty Girls Like Trap Music' Album Debuts To Fanfare
https://www.youtube.com/watch?v=vMiwFOL9qVQ
2 Chainz's Pink Trap House Closes Down To Make Way For New Tenants
https://www.youtube.com/watch?v=oojOIgsWr1U


Nothing quite compares to the stunning beauty of pomegranate seeds. It is no wonder that Persephone was tempted to eat those offered to her by Hades in the Greek mythological story. Sadly, just like in the story, pomegranate is only available during a short time of the year. Hrumph!
So the trick is to figure out how to keep that lovely fruit, and it's delicious flavor, around for more than just the harvest season. What better way than to transform those garnet hued jewels into a sparkling, garnet hued jelly that can be enjoyed any time of the year?
Now, you could go the added pectin route, which will give you a pretty jelly, if looks are all that's important to you. But isn't it what's on the inside that counts? So how about going the flavor packed route instead, and use those saved up apple cores and peels you've been stockpiling in the freezer. You'll get looks AND flavor. Sounds like a win to me.
To make this, you will need to read the instructions for making Apple-Pectin and if you are new to canning also read Food Canning 101.
This process will require three easy steps: making the juice, making the pectin, and then making the jelly. The first two steps can be done at different times, and the juice from them can be stored in the refrigerator or freezer until you are ready to put together the final product. If you are starting with prepared juice, you can skip to the pectin making steps. You will want to start with at least 3-4 cups of pomegranate seeds and 3-4 pounds of apple parts to make enough jelly that this is worth your time (and it really is worth your time!).
Put both into a large stock pot, quickly bring almost to a boil, then turn the heat down to a simmer. Cover and simmer until the seeds are soft enough to be easily mashed, about 15-20 minutes. Strain the liquid and seeds through a strainer or food mill. I don't mind having jelly that isn't crystal clear, so I go for maximum material by using a food mill to get all the pulp and not just juice. Your leftover solids are now ready for the compost pile! You can stop here and freeze the juice and finish the other steps later, if desired.
*I have seen recommendations to juice pomegranate just like an orange instead of trying to get out the seeds. I have not tried this method, but it seems like it would be a bit messy and leave a lot of material behind.
Put the ingredients in a large enough stock pot, quickly bring almost to a boil, then turn the heat down to a simmer. Cover and simmer until the apple parts are soft enough to be mashed. This can be anywhere from 20-40 minutes depending on the type of apples you use. Once the apples are soft enough, mash all the materials well, turn off the heat, and allow to cool in the pot for at least 30 minutes.
Place a muslin cloth in a strainer and pour apple mixture in. Allow to drain. Gather up ends of cloth and twist to get the last bits of juice out. Your apple "gunk" is ready for the compost pile, and if you have a good quality cloth you can wash it and use it again. At this point you have the juice for the jelly, not the jelly, yet! You can refrigerate or freeze the juice and continue with the remaining steps later, if needed.
Once you are ready for the final jelly making process below, put your clean jelly jars (always use more than you think you'll need) into your water bath pot, cover pot and bring water to boil. You can reduce heat to a simmer while still covered to keep jars hot until you are ready. Put your flat lids into a small pot of water, bring to boil, and reduce to a simmer until ready to use.
You shouldn't process more than 4 cups of the liquid (before adding lemon juice and sugar) at a time unless you have a larger than usual sized stock pot. It adds too much time to the processing which can cause your pectin to break down, and you can also have the jelly foam up too much where it can overflow the pot.
Place your jelly ingredients into a large stockpot fitted with a thermometer (see Food Canning 101!). Bring your liquid to a boil* without stirring and continue to boil** until the gelling point is reached. This is 10 degrees above the boiling point of water at your elevation. For me at near sea-level, I remove my pot from the heat the moment it hits 222 degrees.
**If your jelly threatens to foam over your pot, wave a wooden spoon through the bubbles to break them up. Do not stir your jelly! Just break up the bubbles.