text:
Jasmine Guy Tried to Quit A Different World in Season 1 After Lisa Bonet and Sinbad Were 'Disrespected'
Jasmine Guy is looking back at her decision to nearly leave A Different World during the show's first season.
In an exclusive clip of this week's Red Table Talk, Guy, 60, opened up about her experience on the show while reuniting with her former costars Jada Pinkett Smith, Kadeem Hardison, Dawnn Lewis, Darryl M. Bell, Charnele Brown, Cree Summer, Glynn Turman, Ajai Sanders, Karen Malina White and Debbie Allen in honor of the NBC sitcom's 35th anniversary.
Guy — who starred as Whitley Marion Gilbert on the series — said she gave her "two-week notice" after taking a stand with producers of the show, which aired from 1987 to 1993.
"I didn't like the way they were treating the cast," she explained. "I went in there and I said, 'Thank you so much for this opportunity. I've learned so much.'"
Jamie McCarthy/Getty; Daniele Venturelli/ Getty; Rebecca Sapp/Getty
"And they were probably like, 'Ok, well. Did something happen to you?' I said, 'Well you know, I feel like Lisa Bonet is disrespected in front of the audience,'" she recalled.
"[They said] 'Well has it ever happened to you?' I said, 'If it happens to her, it happens to me,'" she continued. "You are disrespecting the cast. You are disrespecting Sinbad. It doesn't have to happen to me. I felt like it was happening to me."
Red Table Talk with the cast of A Different World.
Rich Laru
Guy previously opened up about the producers' treatment of Bonet, who played Denise Huxtable on the sitcom and left the show ahead of season 2.
"That first season, it was wack and I didn't like the way they treated Lisa Bonet," she shared on The Breakfast Club in September.
NBCU Photo Bank
She claimed that producers would tell Bonet, "'Just do it, just say it!' Pointing all up in her face."
"You know, I'm like, 'That's a sweet girl because you're not getting all up in my face like that," she continued. "And we've dealt with b—-es… as far as choreographers and directors or what not… I didn't interfere onset, but I was like, 'Oh no, you not treating her like that.' She had to hire security!"
Guy also claimed that network executives didn't respect the cast when they made the show compete with Martin, which aired on Fox at the time.
"I definitely took that personally. You ain't got but two Black shows… so you put us at the same time against each other?" Guy shared. "And what had we done to deserve this kind of disservice?"
"You know, we're not competing with Martin. They come on at 8:30, we come on at 8 — why did you move us?" she added. "That was a detriment."
Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.
A special episode of Red Table Talk with the cast of A Different World will stream Monday, Dec. 19 at 12 p.m. ET/9 a.m. PT on Facebook Watch.
Tags: JasmineTried

redpajama_set_name: RedPajamaCommonCrawl


text:
As advertised: Clean It Up leaves Milton Park spic and span
Student-organized pilot project helps clear Milton Park streets and alleyways of 50 garbage bags worth of refuse and recyclables
Some 60 volunteers hit the streets of Milton Park with only one thing in mind: Clean It Up!
Armed with garbage bags and good intentions, 60 volunteers braved unseasonably cold temperatures on April 28 to clean up the streets and alleyways of Milton Park. By day's end, the neighbourhood had undergone a significant transformation, with the volunteers – many of them McGill students – filling no fewer than 50 garbage bags of refuse and recyclables
"Clean It Up was a huge success considering the difficult weather conditions – and that it took place during finals and moving out period. It really shows how students are willing to take action when they see something they don't like," said Victor Fradet, a co-organizer along with fellow McGill student Priscille Raynaud "I walked on Aylmer yesterday and I was so proud of the work we did. There is almost no trash left on this street which was the dirtiest ones."
Meeting at the Milton Gates, volunteers were fed and fortified with water, coffee and homemade cakes before being broken into teams with designated areas to cover. After a briefing on the importance of dividing garbage from recyclables, the teams hit the streets, garbage bags in hand.
Their efforts did not go unnoticed. "People passing by were grateful and we got many thank yous and nods," said Fradet, a U3 student in Economics with Honours in Political Science. "Some of them told us they had been waiting for an event like this for 40 years!"
The pilot event was such a success that Fradet says a Clean It Up club will be formed in the near future. "We will organise events through the year, particularly in October to clean up the area again," he says." Our goal will also be to raise awareness about recycling in this area and inform students at the beginning of the year on important information such as which day they should take their garbage out."
It's the neighbourly thing to do
Igniting data analytics for community impact
Changes underway in SEDE


write_xlsx uses the same interface as writeexcel gem.
Original Perl module was written by John McNamara(jmcnamara@cpan.org).
Converted to ruby by Hideo NAKAMURA(cxn03651@msj.biglobe.ne.jp) Copyright (c) 2012-2017 Hideo NAKAMURA.


By using this contact form I agree that the collected data may be transmitted to the site operator and may be stored and processed by him as part of the communication process. I understand my rights as data subject (s), as stated in the Data Protection Declaration and the following information of the site operator.
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Welcome. I am Mistress Scarlett but you can call me Mistress! Come in and join me in my exclusive and fabulous nylon filled world of fantasy and pleasure.
I will not allow any minor access to this site or any material found herein. Any material I download from this site is for my own personal use, I will not show it to a minor. I am not attempting to obtain evidence for the prosecution of an individual or business for the purposes of entrapment. By entering this website, I agree to release, discharge, and hold harmless the providers, owners and creators of this website from any and all liability which might arise from viewing or reading the adult content on the website of Blackpool Mistress Scarlett.
By entering this site I agree to be legally bound by the declaration I have made and agreed to above.
I am over the age of 21 and I wish to serve mistress in her world of fantasy and nylonic pleasure.


The preceeding video gives a great introduction to USOs, Unidentified Submerged Aircraft. It is likely that these USOs are the same objects as UFOs. Arcturi Staff maintains this to be true as many of the alien races have bases underground bases under the water. Many sitings from navel officers and those by the sea have often witnessed these USOs exiting the water and becoming UFOs.
Our analysis maintains that the USOs are often piloted by the Sirian Aliens and other Nordic races of aliens. These races have a strong connection to the sea as they do on their home worlds and did in Atlantis.
i ve seen them come up out of the water.big show as if it was the mothership and all her baby's.my two friends witnessed it to.some in the air some in the water.happened at night.it got very close and ran light thru our body.i take ppl ther now to seee the light shows.has to be the right kind of ppl.skeptics and haters send them away.would you like to come?


Stir together chickpeas and pesto and set aside.
In a small stainless steel bowl, whisk together all dressing ingredients.
Add quinoa, cherries, blackberries, corn, tomatoes, nectarine, feta, and dressing to a large bowl and toss gently to combine.
Divide quinoa mixture between 4 bowls. Top with sliced avocado, chickpeas, nuts, and microgreens.


text:
ACCEPTED

#### According to
Integrated Taxonomic Information System

#### Published in
Izv. Glavn. Bot. Sada S. S. S. R. 24:146. 1925 "<I>manshurica</I>" (Tipi Rastit. Iuzhno-Ussur. Kraia 93. 1917, nom. nud. ; Rastit. Iuzhno-Ussur. Kraia 75. 1923)

#### Original name
null

### Remarks
null

redpajama_set_name: RedPajamaGithub


text:
Why international students are choosing the UK – despite coronavirus
The Conversation | October 9, 2020 | The Conversation | No Comments
Shifts in global politics and other countries' response to the coronavirus may have made the UK a more attractive option for international students
Restrictions as a result of the coronavirus may affect international students' experience. Syda Productions/Shutterstock
Despite early predictions that the coronavirus pandemic would cause international student numbers to decline, the UK is set for a record increase, with enrolments from non-EU international students up 9% this academic year.
Universities had feared that a fall in international student numbers would lead to a significant loss in revenue from tuition fees. For now, at least, this has been averted.
It is too soon to say whether a dip in international student numbers has been avoided completely or is still on the horizon for future years. Nevertheless, there are several explanations for why international students are attracted to British universities. These include global politics, opportunities for employment and perceived teaching quality.
Global tensions
Global politics have a direct impact on higher education. This is particularly relevant for relations with China, the country where the largest number of international students originate.
Increased tension between China and the US has led to the cancellation of thousands of visas for Chinese students to study in the US. One of the reasons for this is Chinese students' supposed ties to the Chinese military. The Trump administration has claimed that Chinese international students seek access to American intellectual property or sensitive technologies.
These claims have been challenged, but may still lead Chinese students to reconsider their plans to study in the US.
The way countries have dealt with the coronavirus pandemic will also affect the number of international students they attract. For the US – where international student numbers have been falling since 2015 – perceptions of a botched response to the pandemic and fears of future visa policy changes may lead to a further decline.
Other countries have become less attractive to international students due to their actions during the pandemic. For example, in a widely criticised move, the Australian government encouraged foreign students to return home. Australia and New Zealand's borders continue to be closed to foreign nationals.
This may mean that the UK has become more attractive as an alternative destination. A survey by a Chinese education agency found that the UK has surpassed the US as a destination of choice for students.
The UK also offers students several other advantages. Most undergraduate courses last three years and masters degrees one year, which is shorter than degree programmes in countries such as the US. While tuition fees in the UK are high in comparison with other countries, these shorter courses keep overall costs down.
The reintroduction of the two year post-study work visa may also encourage international student applications. This means students can stay in the UK and seek employment after completing a degree. It is aimed particularly at Indian students, whose numbers dropped significantly when the post-study work visa was removed in 2010.
Most students continue to feel the UK offers a high quality of teaching, although not without reservations. Students from East Asia are more likely to express disappointment about their learning experiences – a major concern given the UK's reliance on Chinese students. Reasons may include cultural and historical differences in approaches to education and a failure by universities to focus consistently on inclusive and innovative teaching practices.
Continuing challenges
We cannot assume that a recruitment crisis has been fully avoided. Ongoing concerns include rising numbers of COVID cases on campuses and stringent lockdown measures which have seen students instructed to self-isolate or avoid socialising outside their accommodation.
For international students, discrimination and racism is a key concern, especially for students from China or East Asian countries. Research shows that safety is a priority for applicants and their families. COVID-related discrimination has been widely reported and remains unaddressed, despite calls for universities to actively combat xenophobia.
The move to online teaching may also affect student satisfaction. Students often do not perceive online learning as of the same quality as face-to-face teaching.
International students are also looking for experiences beyond the classroom. One test will be whether British universities can still offer adequate social and cultural opportunities for international students, despite reduced opportunities for socialising.
Altogether, future international student recruitment depends greatly on the experiences provided by UK universities in the coming months. There are opportunities for UK universities to provide meaningful learning and life experiences for international students through empathy and care. Yet, this requires investment and support for staff by university leadership, providing necessary resources and manageable workloads amid unanticipated student numbers and shifts to online learning.
Jenna Mittelmeier
Lecturer in International Education,
Miguel Antonio Lim
Senior Lecturer in Education and International Development,
Sylvie Lomer
Lecturer in Policy and Practice,
* Published in print edition on 9 October 2020
Tags:COVID-19, International students, UK universities, university enrolments
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Coronavirus is pushing people into poverty – but temporary basic income can stop this
It'll be hard, but we can feed the world with plant protein
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Free download — Mauritius Times ePaper – Friday 15 January 2021
"What the country needs is a general election; the sooner, the better!"
Steering the Country towards Normality
Celebration of Colourful Diversity
A Sobering Look at the Events of January 6, 2021
A Year of Reckoning
The U.S. Capitol riot shows civil unrest is today's major national security threat
Free download — Mauritius Times ePaper – Tuesday 12 January 2021
« Le judiciaire n'a jamais flanché, et je ne pense pas que le judiciaire va nous laisser tomber »
2020: Mostly a year of evils
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Covid-19 : 'On n'a pas suffisamment de recul pour se prononcer sur son taux de mutation. Jusqu'à présent, les mutations rapportées sont mineures'
« 'Même le roi est 'sub Deo et lege' : « under God and the law ».
© 2021 Mauritius Times.


Great texture. Color spot on. Does shed a little if on darker fabrics.
Tweed-inspired patterning and contemporary hues deliver transitional charm to this texture-rich pillow. Crafted of luxurious raw silk and woven into a twill design, this cushion showcases a white and grey colorway for an on-trend look.
Very nice pillow, color is very pretty.
"Does the cover zip off?"


text:
Town to Appeal State Ruling on So. Pierce Development
by Elizabeth McNamara | Nov 27, 2019
Above: The Coggeshall Preserve development at 62 South Pierce Road, which got a positive ruling at the State Housing Appeals Board, would take down part of this historic house, keep the exterior but completely renovate the interior as part of the 13-unit condo proposal (this caption has been corrected since it was originally posted. Our apologies for the error.)
By Elizabeth F. McNamara
The Town Council voted 4-0 Monday night to appeal a ruling made by the State Housing Appeals Board that would allow a 13-unit housing development for South Pierce Road to proceed. Councilman Mike Zarrella recused himself, noting previous business dealings with the developer, Tom Primeau. The appeal will be heard in Superior Court.
The EG Planning Board denied the proposed development in March 2018, saying the lot was not designated by the town's Comprehensive Plan as a site for such density. Neighbors of the property, in opposition, also came out in force throughout the entire Master Plan approval process, which included an unusually high six public hearings.
A view of part of the proposed 13-unit Coggeshall Preserve development.
Primeau had originally sought to build 21 units in duplexes and triplexes on what's known as the McKenna property South Pierce Road at Cora Street, in a neighborhood of largely modest, one-story houses. Over the course of the hearings, he dropped the number to 13 units but that was still well beyond the 3 plus 5 units deemed appropriate for the lot under residential zoning guidelines. The property without any variances would accommodate 3 housing units but the project could expect a "density bonus" of 5 additional units. Primeau proposed 4 of the 13 units would be affordable*.
The developer first came to the Planning Board in 2017, looking for a "comprehensive permit," a fast-track option that a developer can seek when the project in question includes at least 25 percent affordable units, 15 percent more than the state mandate. The idea is to encourage developers to build more affordable housing in communities that have not yet reached a total housing stock of 10 percent affordable (EG has just shy of 5 percent affordable housing stock).
A comprehensive permit process allows a project to bypass the Zoning Board and the Town Council (and, in this case, the Historic District Commission because of an historic, if very dilapidated, house on the property), with final approval resting with the Planning Board alone. Primeau's appeal went to SHAB, which is known for supporting affordable housing above all else. While SHAB appeals are usually ruled in favor of the developer, then Planning Board Chair Mike Donegan (who now sits on the Town Council) said at the time, "We feel like we followed the law…. We think that we considered all the statutory and local requirements and presented a decision that follows all of that."
On Tuesday, Council President Mark Schwager echoed that sentiment.
"In general, the council felt our denial of the master plan had merit, he said. "It was worth clarifying some of those issues in Superior Court."
About a dozen residents of the South Pierce Road neighborhood attended the Town Council meeting Monday even though their topic was only going to be discussed in executive (i.e. closed) session.
"Our neighborhood is delighted that the town is challenging the decision," said Mallory Walsh, one of the neighbors, after the Town Council reconvened in open session to announce its vote on the matter. "The Planning Department and the board made a reasoned decision, and we're sure the court will agree."
Primeau, after the ruling in March 2018, accused the neighbors of being not-in-my-backyard types. Walsh Tuesday said that wasn't the case.
"We expected and were unphased by the thought of a number of houses going up, or even the possibility of a McMansion," she said, referring to the upwards of 100 residents who have been in contact about the future of the property. "It's the scale of what Tom Primeau is proposing that throws us. The buildings would be massive in comparison to our houses, and three would be clustered at the corner in front of the farmhouse for a total of four multi-family structures, with another at the far end of the property."
EG News was unable to reach Primeau for a comment.
*By state law, municipalities are supposed to have 10 percent of their housing stock in the affordable category. East Greenwich's affordable percentage is 4.6 percent. To reach 10 percent, East Greenwich would need to add 290 units, according to HousingWorksRI. (Affordable housing is not the same as low- to moderate-income housing. Rather, for home ownership, it is calculated to serve people who make less than 120 percent of the median income for, in this case, Kent County.) The state created the Comprehensive Permit application to help fast-track developments that include affordable housing units since so many communities fall short of the 10 percent goal.
Read more about this here:
Planning Board Votes Down 13-Unit South Pierce Road Proposal
Density, Historic House Still Problems for So. Pierce Condo Plan
Planning Board Weighs 16-Unit South Pierce Proposal
If you like what you're reading on East Greenwich News, please consider becoming a sustaining member or making a one-time donation – we're a 501(c)(3)!. We are building to sustainability but we are not there yet – you can make a difference! Use the Donate button below or send a check to EG News, 18 Prospect Street, East Greenwich, RI 02818. Thank you!
KJ on November 27, 2019 at 7:33 am
Good for the town to fight the state's attempt to usurp local control over town issues. There is a trend in this state to take over town government through mandates. The RI Builders Assoc (RIBA) is behind many of these efforts including the so called affordable housing mandate. Citizens have fought to defend their local rights to zoning and the comprehensive plan yet builders have sought the path of least resistance which is through the corrupt legislature and their pay for play mentality. Ask your legislator why mobile homes and section 8 housing are not counted in the state/RIBA affordable housing formula.
Donald L on November 27, 2019 at 9:21 am
By all means, EG! You must work hard to keep the poor out of town! You would rather live with a dilapidated falling apart old eyesore than let the poor in.
Tom on November 27, 2019 at 12:26 pm
Did you read the article? The residents were never fighting the poor. This is a sensory issue, plain and simple. The resources of this town are maxed as is it.
Density issue. #autocorrect
M&M on November 27, 2019 at 4:47 pm
No, honestly, we'd rather see a beautiful historic house preserved, or several houses on the lot. And by the way, all of us live in affordable houses as it is. Would you buy a condo for $250K with the attendant fees, or your own home with a yard? There are several for sale right now at about that price point on South Pierce and nearby. We don't want four massive multi family structures towering over our ranches and capes.
Karen on January 7, 2020 at 3:58 pm
so, Donald L. is Primeau's desire to help the "poor" or to make money. Are you related to him? Do you work for him? I think his aim is to make lots of money and he just adds affordable to his plans so he can get his way. This is a neighborhood of well kept modest homes. I don't live there myself but am in sympathy with those who do. Look at what Primeau did in his development on Middle Road. He cut down many many old growth trees so he could cram as many condos onto the property as possible. Old growth trees should be protected as they are important to the environment. I think greed is the motivator here and why shouldn't people have a right to have a say as to what is built in their neighborhood?
Camille Speca on November 27, 2019 at 11:18 am
I am very much against fast tracking any development. It behooves our town council and HDC to have a voice in how our land is developed. Fast tracking pushes through development that is not in the best interest of our town without much of a say from anyone but the planning department.
"A comprehensive permit process allows a project to bypass the Zoning Board and the Town Council (and, in this case, the Historic District Commission because of an historic, if very dilapidated, house on the property), with final approval resting with the Planning Board alone."
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Above: 35 Sleepy Hollow Road. Data is compiled via Riliving.com as of Friday midday, 1/27/23, and...


text:
Q: Redirect Calls for specific File Extension I am trying to redirect any calls to a specific file extension (here .jphp) to another url, using the filename part of the call as a subfolder. I try:
RewriteEngine On
RewriteRule [^/]/([^\.jphp])\.jphp /js/$1/

It should ignore anything before the last "/", then store the Filename in $1 and redirect to HOST/js//
What am i doing wrong?

A: A ^ as the first character in a regex character class [] is an inversion. [^/] evaluates to "any character that is NOT a slash", and the [^\.jphp] evalutes to "any charater that is NOT a ., j, p or h.
Since you're not specifying charater repetition limits, you're limiting your urls to be of the form
x/z.jphp
where x and z are any single characters which are NOT one of the excluded characters mentioned above.

redpajama_set_name: RedPajamaStackExchange


text:
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">

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<title>TeamSpeak3-C-Query-API: Ts3Api::Client::IDs Struct Reference</title>
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TeamSpeak3-C-Query-API
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Ts3Api::Client::IDs Struct Reference

Contain all user IDs.
 More...

#include <Client.hpp>

Public Member Functions

 	IDs (string clid="unknown", string uid="unknown", string dbid="unknown")

Public Attributes

string 	dbid = "unknown"

string 	clid = "unknown"

string 	uid = "unknown"

Detailed Description

Contain all user IDs.

The documentation for this struct was generated from the following files:

/home/karol/projects/TeamSpeak3-C-Query-API/src/includes/Client.hpp

/home/karol/projects/TeamSpeak3-C-Query-API/src/Client.cpp

Ts3Api

Client

IDs

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An arrogant young prince and his castle's servants fall under the spell of a wicked enchantress who turns him into the hideous Beast until he learns to love and be loved in return. The spirited village girl Belle enters the Beast's castle after he imprisons her father. With the help of his enchanted servants, Belle begins to draw the cold-hearted Beast out of his isolation.


text:
What channels are on Yes TV?
How can I stream Israeli TV?
Is Yes TV a Canadian station?
How do I watch YES TV?
What streaming apps work in Israel?
Is YES Network free?
How can I watch YES TV?
Is Netflix blocked in Israel?
What app has the YES Network?
How can I watch yes without cable?
yes TV Shows Channels 2011
yes Drama – Airs drama, lifestyle and reality shows.
yes Action – Airs Action shows.
yes Comedy – Airs sitcoms, comedy shows and dramedies.
yes SCI FI – Airs Sci-Fi, mystery and thriller shows.
yes Base – Airs joint shows with Hot Family (of HOT).
How to watch Israeli TV online in the USA
NordVPN: Our #1 choice for watching Israeli TV in the USA.
Surfshark: The best low-cost option for live streaming Israel TV in the USA.
ExpressVPN: Boasts reliable high-speed connections, excellent unblocking capabilities, and strong security.
What does Yes TV stand for?
The Yankee Entertainment and Sports Network
The Yankee Entertainment and Sports Network (YES) is an American pay television regional sports network owned by Yankee Global Enterprises (the largest shareholder with 26%), Sinclair Broadcast Group and Entertainment Studios (which owns 20%), Amazon (which owns 15%), and The Blackstone Group, RedBird Capital and …
YES TV is a commercial television station committed to positive, family-friendly, entertainment programming. YES TV is licensed and regulated by the CRTC as a religious channel and an exclusively Canadian television station, available in 6.8 million homes across Canada.
DIRECTV STREAM supports a wide-range of devices to stream YES Network including Amazon Fire TV, Apple TV, Google Chromecast, Roku, Android TV, iPhone/iPad, Android Phone/Tablet, Mac, Windows, LG Smart TV, Samsung Smart TV, Sony Smart TV, and VIZIO Smart TV.
How much is the yes app?
Yes, the Yes Network app is free to download, but you need a cable TV or streaming provider to activate your account and watch live New York Yankees games or other live sporting events.
The most popular of them are Hulu, BBC iPlayer, Amazon on demand, Netflix USA, Pandora internet Radio, PBS, CBS, NBA TV, Discovery Channel, Nickelodeon and ESPN.
DIRECTV STREAM Carries YES Network You can sign up for a 5-day free trial and they don't force you into a contract so you can cancel at any time. The service also includes a cloud DVR service and allows you to stream to 20 devices simultaneously.
Does Roku have YES TV?
You can watch the YES Network on Roku, Chromecast, Amazon Fire TV, Apple TV, mobile devices, computers, gaming consoles and more.
You only need internet access and a subscription to any of the streaming services listed below that carry YES network in their channel lineup….Streaming Services with YES Network
4th Gen Apple TV.
Google Chromecast, 2nd gen and higher.
Amazon Fire TV.
Fire TV Stick.
iOS devices.
Chrome and Safari browsers.
Roku.
Netflix is a subscription-based streaming media service which offers online streaming of a library of films and television programs, and it is available in Israel. Netflix is an application for watching movies and series content.
Is VPN legal in Israel?
There are some restrictions on accessing content in the Middle Eastern country, but the use of VPNs in Israel is perfectly legal.
DIRECTV Stream is the lone live streaming service that currently carries the YES Network as the 2022 season gets underway; Hulu, fuboTV and Sling have not carried the regional sports network for the past two years.
Where can I get the YES channel?
How do you calculate total aerobic plate count?
Who manufactures South Bend tools?


SUSE Discussion Forums > PRODUCT DISCUSSIONS > SUSE Linux Enterprise Server > SLES Configure-Administer > SLES11 (after eval->licensed) + no updates ?
View Full Version : SLES11 (after eval->licensed) + no updates ?
I've installed SLES11 x64bid as an evaluation, after month we bought it. It is now about few months and in the "you" I've no updates (kernel, apache or so). When I run NCC in the Yast2, I put my activation code, it is said to me that no update repo isn't necessary to add.
Thank you very much for your time and kicking me to the right way.
I noticed that you're running SLES11, not SLES11 - maybe there actually are no updates since then?
yes, SLES11 - Suse Linux Enterprise Server. I've installed and updated it 5-6 months ago (before evaluation disapeared). After about 1 month we bought it and I registered my product and ran NCC in the yast2. So could I trust NCC and "you" that there are really no updates ? Even after a months ?
"This is a notification that the security and maintenance update overlap period for SUSE Linux Enterprise Server 11 ended and won't get further updates. Regular Maintenance and Support for SUSE Linux Enterprise Server 11 Service Pack 1 started on June 1st, 2010 and will continue through the 6 month overlap maintenance period until after Service Pack 2 has been released."
Huh, you're right, **** me :D. Why SP1 release in the updates didn't forced me to update ? There only info about suse sp1 release, so I missed it maybe. I'll force to update it, that's may be it. Not maybe, it is it :).


Delivery provider GrubHub is dedicating both funding and marketing savvy to promote women-led restaurants across the country during March, which is Women's History Month, the company said Monday.
But doing that means creating what could be the first national database of restaurants owned or run by women in the U.S.
In a partnership with Women Chefs & Restaurateurs, or WCR, GrubHub launched the website RestaurantHer.com, which includes a searchable database by zip code to help diners find restaurants majority owned by women, or that have a kitchen helmed by a woman as chef or executive chef.
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GrubHub aims to champion women in the industry by raising awareness, but also money.
For every guest that pledges to dine in or order delivery from a female-run restaurant during March, GrubHub will contribute $1 to support women in the restaurant industry, up to $1 million. The first $100,000 has been pledged to the WCR.


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text:
\section{Introduction} \label{lbl:sec:introduction:RG:MS:CN:2019}

One of the most important, genuine quantum resource in quantum information engineering is by no doubt, the phenomenon of quantum entanglement of the quantum states being processed \cite{Bengtsson2006}, \cite{Guhne2008}, \cite{Horodecki2009}. The known and implemented quantum communication protocols, including the best known QKD \cite{Horodecki2010} and teleportation protocols, are heavily based on the entanglement present in the corresponding quantum states used in a particular implementation of the protocol performed. This is the main reason why the mathematical analysis, together with the corresponding engineering of quantum entanglement is so important for future developments of quantum realistic technologies \cite{Castelvecchi2017}.

There are many excellent sources on the mathematical foundations of the quantum information processing \cite{Nielsen2000} to which we refer for details.

Concerning the existing quantum technologies the major problem is to find quantum systems in which genuine quantum behaviour can survive on a sufficient long time interval due to intense, unavoidable decoherence processes destroying them. There are many proposals, together with preliminary technological implementations for the construction of the quantum computer, see i.e. \cite{DiVincenzo2000}. At present  days  many  of world leading  technological  companies, like IBM \cite{IBMQ}, Google \cite{Google}, Rigetti \cite{Rigetti},  D-Wave \cite{DWave}  and  others started  seriously to develop  full scale quantum computers hardware and software \cite{Intel}, \cite{Qiskit}, \cite{Microsoft}. The  use  of  superconducting qubits \cite{Devoret2004} together with Josephson junctions \cite{PhysRevLett.111.080502} properties in performing universal quantum  computations seems to be extremely difficult challenge from the engineering point of view. And this is why any alternatives to the proposed in \cite{IBMQ} quantum computer hardware technologies are so important \cite{Linke2017}.

The class of quantum systems which can be seen as consisting of two entangled parts, one being finite dimensional (spin-degrees of freedom) and the second infinite dimensional, the so called quantum $(d,\infty)$ -- systems seems to be a very optimistic candidates for the realistic use in quantum processing information future technological implementations \cite{Gielerak2017}. Also in fundamental atomic and molecular quantum physics the quantum entanglement,  in between  discrete degrees of  freedom that given by continuous variables and called there spin-orbit entanglement is under intensive studies presently \cite{WitczakKrempa}, \cite{Karimi}.

The paper is organized as follows: in Sec.~\ref{lbl:sec:gram:matrix}  the  notion  of Gram matrix connected  to  a  given  pure  state  of  the  $(d, \infty)$  system  under   consideration  will  be  explained  and  some basic  properties of  it are  listed. Also our main  hypothesis (stating that the maximal entanglement  of   the  pure state  under  consideration  is manifested  in the special  form  of  the  corresponding  Gram matrix) is  formulated  there. Section~\ref{lbl:sec:title:RG:MS:CN:2019}  contains  some numerical  results in favour of the validity of our main  hypothesis.

\section{The Gram matrix approach to the entanglement of pure states of $(d,\infty)$ class of systems}
\label{lbl:sec:gram:matrix}

Let $d$ be a positive integer, $d \geq 2$ and let $\mathbb{C}^d$ be complex d-dimensional Euclid space. As it is well known \cite{Nielsen2000} pure states of any quantum system are given by unit vectors (by rays -- more precisely) in some separable Hilbert space, to be denoted as $\mathcal{H}$. A composite two-partite quantum systems composed from the finite dimensional part, described by $\mathbb{C}^d$ and the infinite-dimensional (in general everything below applies to the finite dimensional systems as well) ones is described by the Hilbert space $\mathcal{H} = \mathbb{C}^d \otimes \mathfrak{h}$, where $\mathfrak{h}$ stands for the appropriate, infinite  dimensional in  general, separable  Hilbert  space  and operator $\otimes$ stands for tensor product.

Let $(e_i)_{i=1:d}$ be the system of unit vectors in $\mathbb{C}^d$ defined as $(e_i)_j = \delta_{ij}$ for $i,j=1:d$. We denote as $(c)ons(\mathfrak{h})$ the set of all (complete) orthonormal systems $(f_i)_{i=1,...}$ of vectors from $\mathfrak{h}$. For a given $(f_i) \in cons(\mathfrak{h})$ and any $\Psi \in \mathcal{H}$ we can write
\begin{equation}
\Psi = \sum_{i=1:d, j=1,...} c_{ij} e_i \otimes f_j = \sum^{d}_{i=1} e_i \otimes \left( \sum_{j=1}^{\infty}c_{ij}f_{j} \right) = \left[ \begin{array}{c}
	{\psi_1} \\
	\vdots \\
	{\psi_{d}}
	\end{array} \right],
	\label{lbl:psi:decomposition:RG:MS:2018}
\end{equation}
where ${\psi_i} = \sum_{j=1}^{\infty} c_{ij} f_j$.

The vectors ${\psi_i}$ in general are not forming orthonormal systems of vectors.  From the orthonormality of systems $(e_i) \in cons(\mathbb{C}^d)$ the following normalisation condition follows
\begin{equation}
{|| \Psi ||}^2_{\mathbb{C}^d \otimes \mathfrak{h}} = \sum_{i=1}^{d} {|| {\psi_i} ||}^2_{\mathfrak{h}} .
\end{equation}

For any $\Psi \in \mathbb{C}^d \otimes \mathfrak{h}$, the following,  finite Schmidt decomposition
can be derived by means of the well known SVD arguments:
\begin{equation}
\Psi = \sum_{i=1}^{d} \sqrt{\lambda_i} \hat{e_i} \otimes \hat{f_i}
\label{lbl:eq:schmidt:RG:MS:2019}
\end{equation}
where $\lambda_i \geq 0$ for $i=1:d$, $(\hat{e_i}) \in cons(\mathbb{C}^d), (\hat{f_i}) \in ons(\mathfrak{h})$.

All the information about quantum entanglement contained in $\Psi$ can be read off from the Schmidt decomposition~Eq.~(\ref{lbl:eq:schmidt:RG:MS:2019}). In particular:
\begin{itemize}
\item[(1)] The amount of entanglement (that will be computed by the amount of von Neumann entropy of the corresponding reduced density matrix which is the same as the  amount of entropy of the introduced below Gram matrix):
\begin{equation}
\mathrm{Ent}( \Psi ) = - \sum_{i=1}^{d} \lambda_i \log( \lambda_i ),
\label{lbl:eq:Ent:for:Psi}
\end{equation}
where $0 \cdot \log( 0 ) = 0$ convention has been used in formula~(\ref{lbl:eq:Ent:for:Psi}).
\item[(2)] The maximally entangled, pure states of the $(d,\infty)$ quantum systems are those for which for $i=1:d$, $\lambda_i=\frac{1}{d}$ and then $Ent(\Psi) = \log(d)$.
\end{itemize}

The problem of computing the Schmidt decomposition~Eq.~(\ref{lbl:eq:schmidt:RG:MS:2019}), see \cite{Gielerak2017} for example of a given $\Psi \in \mathbb{C}^{d} \otimes \mathfrak{h}$, is not easy in general \cite{You2015}. Here we propose another approach, to the computation of the Schmidt's numbers of a given $\Psi \in \mathbb{C}^{d} \otimes \mathfrak{h}$.

Let $\Psi \in \mathbb{C}^{d} \otimes \mathfrak{h}$ be given as in~Eq.~(\ref{lbl:psi:decomposition:RG:MS:2018}) i.e.:
\begin{equation}
\Psi = \sum_{i=1}^{d} e_i \otimes \psi_i .
\label{lbl:eq:Psi:form}
\end{equation}

Define the map $j_{\Psi} : \mathbb{C}^d \rightarrow \mathfrak{h}$ by $j_\Psi(e_i) = \psi_i$ and then extend this by linearity to the whole space $\mathbb{C}^d$, i.e.:
\begin{equation}
j_{\Psi} \left( \sum_{i=1}^{d} d_i e_i \right) = \sum_{j=1}^{d} d_i \psi_i .
\end{equation}

The map $j_{\Psi}$ is continuous and $|| j_{\Psi} || = || \Psi ||$, where $|| \cdot ||$  stands for the corresponding operator, respectively vector norm. From the very definition of $j_{\Psi}$ one can compute the operator:
\begin{equation}
G(\Psi) : j^{\dagger}_{\Psi} \cdot j_{\Psi} : \mathbb{C}^d \longrightarrow \mathbb{C}^d ,
\end{equation}
as a $d \times d$ matrix (which is the matrix representation of $G$ in the canonical basis of $\mathbb{C}^d$) with the corresponding matrix elements:
\begin{equation}
G( \Psi )_{ij} = \mbraket{\psi_i}{\psi_j} \;\;\; \mathrm{for} \;\;\; i,j=1:d.
\label{lbl:G:of:Psi}
\end{equation}

\begin{definition}
For a given finite set $\Omega = \{\omega_1, \omega_2, \ldots, \omega_n\} \subseteq \mathfrak{h}$ the Gram matrix of $\Omega$ is defined as $G(\Omega)_{ij} = \mbraket{\omega_i}{\omega_j}_{i,j = 1:n}$.
\end{definition}

Some elementary properties of the Gram matrix are listed below:
\begin{itemize}
\item[G(1)] The Gram matrix $G(\Omega)$ is hermitean and non-negative, i.e.:
\begin{equation}
\mathrm{for} \; i,j=1 : n : \overline{G_{ij}} = G_{ij}
\end{equation}
and, for any sequence of complex numbers $c_{i,j} \;  i=1:n$.
\begin{equation}
\sum_{i,j=1}^{n} c_{i} \overline{c_j}  G_{ij} \geq 0 .
\end{equation}
\item[G(2)] The rank of $G(\Omega)$ is equal to the dimension of the subspace $lh(\omega_1, \omega_2, \ldots, \omega_n) \subseteq \mathfrak{h}$, i.e.:
\begin{equation}
\mathrm{rank} \; G(\Omega) = \dim \; lh(\omega_1, \omega_2, \ldots, \omega_n) .
\end{equation}
\item[G(3)] If $G(\Omega)$ is a Gram matrix, then for all $i,j$:
\begin{equation}
| G_{ij}(\Omega) | \leq G_{ii}(\Omega) \cdot G_{jj}(\Omega) .
\end{equation}
\begin{proof}
By direct use of a Cauchy-Schwartz inequality.
\end{proof}
\item[G(4)] the Gram matrix $G(\Omega)$ is invertible iff  $\mathrm{rank} \; G(\Omega)=n$.
\item[G(5)] If a given $d \times d$ matrix $G$ is positive semi-definite then there exists system of vectors $(g_1, \ldots, g_d) \in \mathbb{C}^d$ such that $G$ is the Gram matrix of the system $(g_1, \ldots, g_d)$.
\begin{proof}
To compute the Cholesky decomposition of $G$, i.e. compute the matrix $B$ (lower-triangular or equivalently  upper-triangular) such that
\begin{equation}
G=BB^{\dagger} .
\end{equation}
Then  the  corresponding vectors $g$ are given as  rows  of  $B$. $\square$
\end{proof}
\item[G(6)] Let $\mathcal{U}(\mathfrak{h})$ stands for the multiplicative group of unitary operators acting in~$\mathfrak{h}$. Then for any $U \in \mathcal{U}(\mathfrak{h})$, any $\Psi = \sum_{i=1}^d e_i \otimes \psi_i$:
\begin{equation}
G(\Psi) = G(( \mathbb{I} \otimes U)(\Psi)),
\end{equation}
i.e. $G$ is $U$-invariant.
\item[G(7)] Let $\sigma(\Psi) = (\lambda_1, \ldots, \lambda_d)$ be a spectrum of the matrix $G(\Psi)$ (ordered in  non-increasing  order) then $\lambda_i(\Psi) = (\lambda^{s}_{i}(\Psi))^2$ where $\lambda^{s}_{i}(\Psi)$ are the Schmidt coefficients of the vector $\Psi \in \mathbb{C}^d \otimes \mathfrak{h}$.
\item[G(8)] Let $\mathrm{Ent}(\Psi) = - \mtr{ G(\Psi) \log G(\Psi) }$.  Then $\sup_{\Psi} \mathrm{Ent}(\Psi)  = \mathrm{Ent}(\Psi^{\star}) = \log(d)$  where  $\Psi^{\star} \in \mathbb{C}^d \otimes \mathfrak{h}$ is such that $\lambda_i = \frac{1}{d}$ for all $i=1:d$.
\end{itemize}

For the purposes of the present note $G(7)$ and $G(8)$  are the most important properties of the Gram matrix $G(\Psi)$. We conclude from these properties that in order to compute entropy of entanglement included in $\Psi$ we need to compute the corresponding Gram matrix of $\Psi$, matrix elements of it  are given as scalar products of the corresponding components $\psi_i$ of $\Psi$.

\begin{remark}
The scalar products are the simplest, widely used measures of similarity in between pure quantum states and are well known in quantum information theory as fidelity measure \cite{Nielsen2000}
The Gram matrices are widely used in several areas of research. The differential geometry, mathematical statistics problems, quantum chemistry and atomic physics, control theory, machine learning and deep learning problems are some examples where the technique based on Gram matrieces are applied. See for a source of references on this \cite{Hazewinkel2001}.

However their use in Quantum Information Theory (QIT) seems to be underestimated as it is hard to find any reference in QIT in which an explicite use of Gram matrices (although they are very close to the corresponding reduced density matrices notion). For a more extensive review together with some (might be) new results obtained with the use of Gram matrices, see \cite{Gielerak2019a}, \cite{Christensen2003}.

However,  we  are  not  able  to  find  any  source  for  the  use  of  this  concept  in  the  present  context.
\end{remark}

Although we know the answer to the question which states $\Psi \in \mathbb{C}^d \otimes \mathfrak{h}$ are maximally entangled the problem how to read off the amount of entropy directly from the formula~(\ref{lbl:psi:decomposition:RG:MS:2018}) is the main topic of this contribution. The main result, confirmed numerically in the next section for the particular cases $d=2$ and $d=4$,  is the following hypothesis (for any pure state  $\Psi$  written in the form given by Eq.~(\ref{lbl:eq:Psi:form}) we define its Gram  matrix as the Gram matrix formed by the frame $(\psi_1, \psi_2, \ldots, \psi_d)$).

\begin{conjecture}
Let $\Psi = \sum_{i=1}^{d} e_i \otimes \psi_i \in \mathbb{C}^d \otimes \mathcal{H}$. Then, $\Psi$ is maximally entangled pure state of $(d, \infty)$ quantum system under consideration iff:
\begin{equation}
{G(\Psi)}_{ij} = \frac{1}{d} \cdot \delta_{ij} \;\;\; \mathrm{for} \;\;\; i,j=1:d.
\end{equation}
\end{conjecture}

\begin{remark}
The statement "iff" from conjecture follows simply from the Schmidt decomposition Eq.~(\ref{lbl:eq:schmidt:RG:MS:2019}) and the results in \cite{Gielerak2018c}.
\end{remark}

\section{Numerical studies for $(2,\infty)$ and $(4, \infty)$ systems} \label{lbl:sec:title:RG:MS:CN:2019}

Let $G(\Psi)$ be a $d \times d$ Gram matrix for a given pure state $\Psi \in \mathbb{C}^d \otimes \mathfrak{h}$ as given in formula (\ref{lbl:G:of:Psi}). The special Gram matrix $G_{max}$, defined as $(G_{max})_{ij}=\frac{1}{d} \cdot \delta_{ij}$ corresponds to case $\mbraket{\psi_i}{\psi_j} =\frac{1}{d}  \delta_{ij}$ for which the entropy of the Gram matrix attains maximal, possible values.

For this reason we introduce the following definition:

\begin{definition}
Deviation from the maximal entangled states manifold of a given state $\Psi \in \mathbb{C}^d \otimes \mathfrak{h}$ is given as
\begin{equation}
\mathrm{dev}(\Psi) = \left( \sum_{1 \leq i \leq j \leq d} {|G(\Psi)_{ij} - (G_{max})_{ij}|}^2\right)^{\frac{1}{2}} .
\end{equation}
\end{definition}

Now we can state precisely our hypothesis:
\begin{equation}
\mathrm{If} \; \mathrm{dev}(\Psi) > 0 \; \mathrm{then} \; \mathrm{Ent}(\Psi) < \log(d).
\end{equation}

At the moment, no complete rigorous proof of this hypothesis is available. However, some computer assisted numerical analysis in the particularly interesting (from the point of view of quantum engineering) cases of dimensions $d=2$ (single qubit entangled with atom for example) and $d=4$ (relativistic $\frac{1}{2}$-spin degrees of freedom entangled with the orbital degrees of freedom in the relativistic, Dirac model of atom for example) are presented in the rest of this section.

\begin{example} The case of $d=2$. \\
Let
\begin{equation}
\Psi = e_1 \otimes f_1 + e_2 \otimes f_2 \in \mathbb{C}^2 \otimes \mathfrak{h} .
\end{equation}
The Gram matrix:
\begin{equation}
G(\Psi) = \left[ \begin{array}{cc}
{|| f_1 ||}^2 & \mbraket{f_1}{f_2} \\
\mbraket{f_2}{f_1} & {|| f_2 ||}^2
\end{array} \right],
\end{equation}
has the following structure (which is exactly of the form of reduced density matrix obtained  from  $\Psi$ by tracing out the degrees of freedom connected with the infinite dimensional subsystem):
\begin{equation}
G(\Psi) = \left[ \begin{array}{cc}
p & \overline{\sigma} \\
\sigma & (1 - p)
\end{array} \right],
\label{lbl:eq:Gram:Psi:for:Case:2}
\end{equation}
where $p={|| f_1 ||}^2 \in [0,1]$, $\sigma=\mbraket{f_1}{f_2}_{\mathfrak{h}}$ is a complex number such that $|\sigma| \leq \frac{1}{2}$ as it follows from the Cauchy-Schwartz inequality.

Solving the corresponding eigenvalue equation for $G(\Psi)$ the following eigenvalues of $G(\Psi)$ are obtained
\begin{equation}
\lambda_1 = \frac{1-\sqrt{\Delta}}{2}, \lambda_2 = \frac{1+\sqrt{\Delta}}{2}, \; where \; \Delta = 1-4(p-p^2-|\sigma|^2) .
\end{equation}

The corresponding entropic measure of quantum entanglement  contained in the state $\Psi$:
\begin{equation}
\mathrm{Ent}(\Psi) = - \lambda_1 \log(\lambda_1) - \lambda_2 \log(\lambda_2),
\end{equation}
attains its maximal value for $\lambda_1 = \lambda_2 = \frac{1}{2}$ which corresponds to the case when $|\Delta| = 0$. In particular case $p=\frac{1}{2}$ and $|\sigma|=0$ the quantum state $\Psi$ is maximally entangled.
\end{example}

\begin{figure}
\begin{center}
\begin{tabular}{c}
(A) \\
\includegraphics[width=12cm]{xfig-A-for-case-2.eps} \\
(B) \\
\includegraphics[width=9cm]{xfig-B-for-case-2.eps}
\end{tabular}
\end{center}
\caption{Value of Entropy measure $\mathrm{Ent}(\Psi)$ for case $d=2$. The parameters $p$ and $\sigma$ in plots (A) and (B) are defined as in Gram matrix $G(\Psi)$ denoted by Eq.~(\ref{lbl:eq:Gram:Psi:for:Case:2}). Plots (B) shows change of the Entropy measure value for $p=\frac{1}{2}$}
\end{figure}

\begin{example}
The case of $d=4$. \\
General form of the pure states in $d=4$ (corresponding to several physically interesting cases like photonic wave  functions for example) is given by
\begin{equation}
\Psi = e_1 \otimes f_1 + e_2 \otimes f_2 + e_3 \otimes f_3 + e_4 \otimes f_4,
\label{eq:Psi4:system}
\end{equation}
where $e_i \in \mathbb{C}^4$ and $(e_i)_j = \delta_{ij}$, $f_i \in \mathfrak{h}$, $i=1:4$.
\end{example}

The corresponding to Eq.~(\ref{eq:Psi4:system}) Gram matrix $G(\Psi)$ is given by the formulae
\begin{equation}
G(\Psi)_{ij} = \mbraket{f_i}{f_j}_{\mathfrak{h}}
\label{lbl:eq:G4:mat}.
\end{equation}
In  the  case  of  semi-definite  positive Gram matrix $G ( \Psi )$ the  well known  Sylvester  criterion, valid in the  case  of  strictly  positive matrices must  be  generalised. It is  necessary to  check in this  case that  all principal minors of $G$  are  non-negative \cite{Prussing1986}, \cite{Gilbert1991} not  only  the  leading  one. This  means  that in order to  describe  the  corresponding manifold  of  Gram matrices  containing  also the  matrices  with  non-trivial  kernels , $\dim( \mathrm{Ker}( G) ) > 0$  it  is necessary  to  put  $2^d-1$  non-linear  constrains of  the  form  as listed  in  Lemma~\ref{lbl:lemma:one:CN:2019:RG:MS}  below in the  case  of  strictly  positive Gram  matrices. In particular  dimension  $d=4$  this  number is  equal  to  15.This  is  the main  reason  that we  restrict  our  consideration  below  to  the  case  of  strictly positive  Gram  matrices only  which  are  most  interesting  from  the  physical point  of  view.

\begin{lemma}
Let $G_4$ be the set of $4 \times 4$ hermitian matrices $G \in \mathbb{C}^2 \otimes \mathbb{C}^2$ obeying the following constrains:
\begin{itemize}
\item [$G_4(1)$:] $\sum_{i=1}^{4} G_{ii} = 1$; $G_{ii} \in [0, 1]$,
\item [$G_4(2)$:] \begin{itemize}
\item[(i)] $\det(G) \geq 0$,
\item[(ii)] $\det\left( \left[\begin{array}{ccc} G_{11} & \ldots & G_{13} \\
\vdots & \ddots  & \vdots \\
G_{31} & \ldots & G_{33}
 \end{array} \right] \right)  \geq 0$,
\item[(iii)] $\det\left( \left[\begin{array}{cc} G_{11} & G_{12} \\
G_{21} & G_{22}
 \end{array} \right] \right)  \geq 0$.
\end{itemize}
\end{itemize}
Then to any $G \in G_{4}$ there exists a system of vectors $g_i \in \mathbb{C}^4$ such that $\mbraket{g_i}{g_j}_{\mathbb{C}^4} = G_{ij}$.
\label{lbl:lemma:one:CN:2019:RG:MS}
\end{lemma}
\begin{proof}
Essentially $G(1)$ together with $G(2)$ property give the normalisation and non-negativity of $G$. Thus applying property $G(5)$ of the present note we conclude the final statement of Lemma~\ref{lbl:lemma:one:CN:2019:RG:MS}. $\square$
\end{proof}

Our hypothesis is the following.

\begin{conjecture}
Let $G \in G_4$. Let us define the entropy functional on $G_4$:
\begin{equation}
\begin{array}{l}
\mathrm{Ent}: G_4 \longrightarrow [\sigma, \log(4) ], \\
G \longrightarrow \mathrm{Ent}(G) = - \mtr{G \log(G) } .
\end{array}
\end{equation}
Then $\sup_{G \in G_4} \mathrm{Ent}(G) = \log(4)$ and $\mathrm{Ent}(G) = \log(4)$ {\bf iff } $G_{ij}=0$ for $i \neq j$ and $G_{ii}=1/4$ for $i=1:4$.
\end{conjecture}

\begin{figure}
\begin{center}
\includegraphics[width=12cm]{fig-for-case-4}
\end{center}
\caption{Value of Entropy measure $\mathrm{Ent}(\Psi)$ for case $d=4$. The parameters $p=1/4$, and $\sigma_1$, $\sigma_2$, $\sigma_3$ represent elements of matrix $G(\Psi)$ denoted by Eq.~(\ref{lbl:eq:G4:mat}) in four form (A), (B), (C), (D) of $G(\Psi)$ matrix. Additionally, we also show two cases (E) and (F) where in (E) only one parameter $\sigma_1$ is used, and the second (F) where value $\sigma_2$ is constant}
\end{figure}

\section{Conclusions} \label{lbl:sec:conclusions:RG:MS:CN:2019}

A new method for entanglement analysis, based on the notion of unitary invariant Gram matrices connected with pure states of a general $(d,\infty)$ quantum systems has  been proposed. In particular, a new criterion for detecting the maximally possible amount of quantum entanglement present in an analysed
quantum state has been formulated in terms of the corresponding Gram matrix. Certain, numerical  analysis type  arguments in favour of the general validity of the  criterion formulated are being presented in a particular dimensions $d$, but very interesting cases of dimensions  $d=2$ and  $d=4$. The presented connection between  quantum entanglement and Gram matrices leads to a new, purely geometrical characterisation of entanglement in terms of a general and well known geometric interpretations of gramians.

\label{lbl:references:MS:JW:CN2019}

redpajama_set_name: RedPajamaArXiv


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text:
By Hamza
Having seen some of the atrocities committed recently, I have come into a far better position to understand the notions that the Western world, or rather the entire world has about us. I can understand why the furor that was caused by the 'Draw a Muhammad Day' was so critical. I can also understand why Facebook and the people behind the atrocious event were so adamant about going forward with it.
The simple fact of the matter is that we as a nation try to deflect criticism by conjuring up comparisons with everyone across the spectrum. We are like ostriches; we rarely attempt to face our demons, rather we're more inclined towards pretending the demons do not exist. Such mental faculty has been groomed and honed at the behest of successive governments because it defined the mood of the national public, making it easier for the powers to be to chide us repeatedly and perversely. Consequently, instead of trying to resort our problems, we end up blaming RAW, Mossad, CIA, FBI, the Freemasons, the Jews, Zionists, Israelis, Hindus, Sikhs, Afghans, Uzbeks, the Brits. Everyone, but ourselves. The thing is though, after we're done blaming them so vehemently and vociferously, we rarely have the mental energy or capacity to resolve the issues at hand. As a prime example, the American-Russian war in Afghanistan was the cause of a massive influx of Afghan refugees into Pakistan; but maintaining the law and order situation, regulating those refugees, and ensuring they went back to their country was our job. Did we do it, or were we just too overwhelmed with emotions at the thought that our "Muslim" brothers and sisters were inconvenienced?
All the countries of the world, be it Saudi Arabia, Iran, Syria, Palestine, UAE (Muslim countries) always put their own interests before the "Ummah's". If this simple notion can penetrate the head of even one of my fellow countrymen, I will have done my job. We try to be the sole maverick hero of the Muslim world, but the truth is we're not. We can pretend as much as we want to but the fact of the matter is that the Muslim world tends to look down upon us with disdain. We have brainwashed ourselves into believing that we are far superior to the rest of the Muslim nations but we're not. We need to clarify these misgivings about our position in the world and concentrate on alleviating the problems existent in our society today that have nothing to do with the rest of the world.
It is high time that we stop calling the world 'hypocrites' and 'double agents' when we are ourselves are master-champions in that ball game. We are so good at it that we ourselves have now inconspicuously failed to realize that we're playing a double game. In all this sordidness that we have spread with august gusto, we have sullied the name of Islam. We have confused the cogent and lucid with ill-advised contempt which is totally devoid of reasoning. While we stand up amid great crescendo defending the construction of the Cordoba House just two blocks from Ground Zero, how many of us have thought of the moral responsibility that we as Muslims bear to the city of New York? Although I believe in the freedom of religious affiliation, and I actually wrote a rebuttal to Miss Sarah Palin rebuking her for bringing her hawkish views into this case of the Cordoba House, how many of us can actually proclaim that the Muslims are morally justified in building a Masjid so near Ground Zero? If the WTC was in Pakistan, and the attackers were Christians, you can well imagine a sort of mutiny would've taken place had a Church been approved to be built at the sacred site.
The recent cataclysmic events in the cricketing world have only reinforced my views about us. While we are the frontrunners in preaching the values of ethics, morality, shame and mannerisms to the entire world, we fail miserably and shamefully ourselves in all those disciplines. We have no sanctity of our national flag, because as it so happens, to many it is just a piece of cloth with two colours; we have no respect left for our identity because our "stars" do not care what image they send out to the world. We are innocent people, easily fooled into believing anything that comes out of anyone's mouths; we're like sheep bleating about aimlessly, following anything and everything that we see. We're full of pent up energy and there is no release. The world keeps on castigating us, but as it so happens we keep throwing them plenty of good reasons to keep doing so. And then, as it so happens, the million dollar question is: What do we do?
Tags: About me, Crisis, Current Affairs, India, Islam, Pakistan, State of Affairs, UK, USA
The value of a 1000 rupees
The curious case of Meesha Shafi, which isn't really that curious after all
Fox News thinks Malaysian Airlines flight MH370 landed in Pakistan
Bakra Khan and Zaid Hamid
"Violence is justified, as long as my party is perpetrating it."
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Are Lab-Tested Home Delivery Edibles the Next Big Thing?
Poor edible quality has created an uproar in the US. Cannabis Care is the Canadian company raising the bar for quality with lab-tested edibles.
Home delivery is the new standard for medical cannabis patients. Why drive to the store when it's easier to just walk to the front door? Raising that bar is Cannabis Care, a company taking the guesswork out of edibles.
Medicinal cannabis can take many forms. Each has its own benefits. Once a trend for recreational weed users, edibles are now becoming the treatment of choice for patients who want long-lasting, consistent relief.
Unfortunately, the regulated cannabis industry is new, and the quality and consistency of edible dosages available to most patients so far have led to a lot of valid concerns.
While stories about accidental over-consumption have led to laws in some areas preventing products with more potency than stated, there are few standards on how far below the label stated potency they can vary.
Edibles that are lower in potency than stated aren't just a waste of money, they can lead patients to over-medicate when changing products. A patient used to a small dose, thinking they need a large one, will almost certainly over medicate if they buy other products that actually meet that dose level.
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For fast, convenient, therapeutic-grade Canadian cannabis, check out the company that cares, Cannabis Care.


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text:
Exactly which form of Capitalism is Dead?
With all of the hoopla about the 'death of capitalism', or 'failure of capitalism', you would think everyone who believes in capitalism ought by now to be on verge of 'Hara Kiri' — you know, the whole 'dismember yourself, spill out your guts, and die' thing that is an honor code among Japanese.
First, let's take the bull by the horns and admit the fact, which is, 'American capitalism is failing, failing fast, is on verge of bringing about failure of American society'.
The reason I am not on verge of Hara Kiri?
There does not exist any agreed definition for Capitalism. While the current form of capitalism is failing, it is not my preferred version of Capitalism.
The version of Capitalism that is failing is what I refer to as 'Hedonistic Capitalism' — The 'shareholders and management can treat employers, consumers, and suppliers anyhow they like' variant of Capitalism'.
'Hedonistic Capitalism' is failing, already has failed America.
What then are alternatives to 'Hedonistic Capitalism'? Well, first on the agenda is 'Socialist Capitalism', the sort of capitalism practiced in France, Spain etc. Clearly, this version of capitalism does not seem to have fared much better than hedonistic capitalism.
Second is the 'All Professional Labor for which there is demand Has Dignity' variant of Capitalism. This is the sort of capitalism practiced in Nordic countries, such as Denmark, Finland, Norway, Sweden etc. This variant of capitalism has worked better than hedonistic capitalism.
Third is 'Capitalism with a Human Face' or equivalently, 'Innovation Centered Capitalism', the variant of capitalism of which the United States of America ought to be known, but which it currently is not practicing. There could be more versions of capitalism, but let us explore briefly the three that I have enumerated.
Clearly, Socialist Capitalism is not much different in ideology from the 'All Professional Labor Has Dignity' (APLHD) variant of capitalism. In practice, however, the two variants of capitalism are worlds apart. Socialist Capitalism focuses on the State as engine of growth and economic development, with outcome innovation is stifled (there is significant support for this in the academic literature).
The APLHD variant of capitalism provides citizens and residents with so much comfort only those who come up with truly useful ideas are willing to take on the risk of starting their own businesses. Absent countries within which innovation is encouraged, with outcome APLHDs are able to borrow (multinational companies) or transform (technology transfers) new innovations, APLHDs would induce such a low rate of innovation as to perhaps generate societies that are backward.
Within APLHDs, the State is engine of growth and development only because people are comfortable. We have then that whereas Socialist Capitalism can engender significant inequity within a society, by it's very construct, the APLHD variant of capitalism is designed for mitigation of inequities within society, with outcome whenever there is innovation within the private sector, it typically is practically useful innovation.
While 'Socialist Capitalism' can forment and accentuate inequities within society, the APLHD variant of capitalism is specifically formulated for mitigation of inequities within society.
Innovation Centered Capitalism (ICCs) encourages people to be innovative, and provides regulations, such as patent laws, ease of starting businesses etc., that encourage people to be innovative. Within ICCs, so long as there exists feasibility of generation of profits, there is enough incentive for pursuit of innovation. So long as innovations that eminently are practical in their uses have an easier path to success in relation to merely profitable innovations, a wealth rationale is a healthy rationale for facilitation of innovation centered capitalism.
For illustration, while a different flavor of your favorite crackers can be a profitable innovation for the company that makes your favorite crackers, relative to benefits you already derive from your favorite crackers, it is not a very useful innovation (does not provide any new benefits for your body). A new brand of crackers that is healthier, yet having a better taste than your favorite crackers, yet not costing more constitutes, however, a useful innovation (provides new benefits for your body).
Given introduction of new innovations creates jobs, in presence of labor laws that are good, a competitive market for labor, and owners or managers of capital who are not hedonistic, a virile middle and upper middle class is created. With this in mind, within ICCs, CEO pay, and remuneration for top management do not increase at a faster rate in relation to remuneration for other cadres of workers. In this respect, it is easy to see that if a CEO starts off making US$1,000,000.00 per year, and middle managers make US$75,000.00 per year, that while a 10% increase in pay generates an additional US$100,000 for a CEO, it generates an increase of US$7,500 for a middle manager. Over a period of 10 years, the CEO's pay amounts to US$2,593,742, the middle manager's to US$194,531. Regardless, the ratios of the salaries (13.33x) remains exactly the same. We have then that an increase in the ratio of CEOs' salaries to salaries of other workers is evidence that CEO salaries increase faster than salaries of other workers.
Note that while it must be true that aggregate CEO compensation (inclusive of stock options) increases faster than those of other workers — this because he or she (the manager) is not just a manager of activities, but also a manager of capital — it ought not to be the case that CEO salaries increase faster than those of other workers.
Each of shareholders and management operating within ICCs build organizations within which salaries of CEOs and top management do not grow faster than those of other employees.
With the recognition that it is impossible for every single human being to have either of desire or capacity for innovation, ICCs provide safety nets for ensuring no one in society is left behind. If there are people who are not highly motivated, who want to live minimally in context of the minimum amount of work required for minimalist living, such options are available. In ICCs, no one ends up living on the streets because they want minimal work hours that do not require any formal education in exchange for minimalist living. Regulated properly, ICCs are the dominant form of capitalism.
Innovation Centered Capitalism is the Dominant form of Capitalism. Presence of an incentive for 'innovation curiosity' guarantees higher rates of innovation than within any other variant of capitalism.
Innovation Centered Capitalism is closest to the variant of capitalism — the firm as nexus of contracts that ensure equilibrium in interactions between all stakeholders, such as employees, suppliers, consumers, shareholders (Jensen and Meckling 1976, Stiglitz (1972), Jensen and Long (1972), Leland (1973), and Baron (1979)) — that is recommended by theoretical models of capital markets within the literature of Finance.
The problem within the United States of America? The profit motive for innovation is superseding the usefulness motive.
Suppose a large publicly quoted company. Whenever such a company muscles in on capital that ought to be directed to financing of truly new innovations for creation of small companies that protect the company's business model, the company makes it difficult for new innovations to acquire capital that can disrupt it's industry. In presence of this sort of defensive strategy, new innovations all have a certain character. Consider for instance that presently all innovations seem to consist in building of apps. Apps are good. Apps have helped make lots of things easier. Apps that do not create any new agenda in the real world, however, apps which merely replicate functions of an existing app mostly are profitable apps, not useful apps.
The sort of defensive innovation that I describe mires a country in redundancies of innovation — innovations that merely perturb an existing innovation, such that combined, a larger market share is created for the same innovation. The new innovation makes money, but there are not any meaningful improvements within society because in reality nothing new is created. There are not in reality any new knowledge, skills, physical capital, or knowledge capital created.
Redundant innovations merely repackage innovation that already exists into a form that can generate profits. Redundant innovations create jobs, but inherently lack capacity for creating new stores of knowledge, skills, physical capital, and knowledge capital.
Absent innovations that shift the stock of knowledge, skills, physical capital, and knowledge capital upwards, societies stagnate.
American capitalism is suffering so much from inundation with redundancy of innovations that the economy is on verge of stagnation. The sooner the political class recognizes this problem and decides to take it on, the better for us all.
Neither you nor I can afford a new President for the USA in 2021 who does not believe in power of innovation for transformation of a society. New innovations that are not rooted in research agenda whose outcomes are uncertain merely are profitable innovations, not innovations that possess any potential for challenging wide swaths of the population to strive for new knowledge, new skills, and new ways of living.
Q&A: Salute to Whistleblowers
Sen. Chuck Grassley
Terminology and the "Developing World"
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Millennial politics: The promise of Alexandra Ocasio-Cortez
Sofia Diogo Mateus
The Veneer Of Legitimacy
m2c4
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Steven Fried
You Can Be Shocked But Don't Be Surprised
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Fig. 2.1: Compilation of estimated numbers of 'true migrants' according to the GROMS definition, and taxonomic information sources.
The printed version of the Global Register of Migratory Species lists all migratory mammals, birds and reptiles exhibiting cyclical migrations of more than 100 km, i.e. according to the GROMS definition (see chapter 2). In addition, the register includes those species crossing international borders during smaller migrations, due to their coccurence within border areas, and therefore listed by CMS (border taxa or technical migrants). The categories "technical migrant" and "possibly migratory" are printed out, all other migrants are listed without comments. Within each major group, the list is ordered alphabetically by scientific names. Synonyms are included, if widely used, and common names are given in the order English, French, German, Spanish, and a gap is left, if not available. For birds, common english names follow SIBLEY & MONROE, french names the official list published by the "Commission internationale des noms francais des oiseaux" (DEVILLERS et al. 1993), german bird names WOLTERS (1975-1982), and spanish names of non-passerine birds DEL HOYO et al. (1992-2001). English names of mammals follow WILSON & REEDER (1993), and RICE 1998 for marine mammals. A complete list of migratory fishes will be published in a second volume. The database contains some more species not printed here, classified as "local migrants" (small scale migrations),"nomadising" and "data deficient" with respect to migratory behaviour. In addition, the database allows to search for important synonyms or vernacular names, and to generate lists ordered by different criteria.. For mapped species, the figure number refers to the map printed in Annex II, and a "D" indicates that a digital map is available.
Maps used for GROMS on a global scale, mostly without flyways, knowledge gaps for exact distribution and migration of certain populations and/or subspecies.
Identification of migrants, GIS map coverage and used information sources for major animal groups. For exact taxonomic definitions of groups and further details, see the specific sections on particular taxa (4.3). Besides true migrants, GROMS includes potential migrants, where migration behaviour is not well known.
25 The migratory butterfly Danaus plexippus has been included, because it is listed on CMS Appendix II.
This document is part of the publication "Riede, K. (2001): The Global Register of Migratory Species  Database, GIS Maps and Threat Analysis. Münster (Landwirtschaftsverlag), 400 pp." + CD (see copyright), orders: http://www.lv-h.de/bfn.


text:
PlayStation 4, Xbox One and Wii U prices compared to consoles since 1977, adjusted for inflation
Valve launches official de_mirage map for CS:GO with modern graphics
Watch Dogs' protagonist Aiden Pearce fights crime in fresh trailer
PlayStation 4 hardware photo and full specifications released: $400 price tag, 500 GB hard disk
Batman: Arkham Origins gets first gameplay trailer
Ubisoft announces new driving game The Crew, coming early 2014
Ubisoft announces open world MMO Tom Clancy's The Division
Ubisoft: "Sam will be back" for next-gen Splinter Cell titles
8 GB RAM in PS4 'a joy' for Dishonored lead level designer
The upcoming 8 GB of unified memory in the upcoming PlayStation 4 will certainly be a boon for game developers looking to make their game levels larger and more detailed than ever. Christophe Carrier, lead level designer of Dishonored, was the first to express his enthusiasm publicly, telling Eurogamer that such an amount of memory is "a joy".
New Assassin's Creed 4 screens and a closer look at Edward Kenway's beard
Ubisoft has released a new set of screenshots showcasing Assassin's Creed 4: Black Flag. The developer has also announced that 40% of the gameplay will be at sea, meaning we will be seeing plenty of Jack Sparrow vs Davy Jones naval warfare action. The screenshots show exploding ships, a tropical backdrop and Edward Kenway involved in some cutthroat violence. Despite being called "cocky" and "charismatic", Edward looks angry (or maybe tired?), a little sallow and underweight as implied […]
Ubisoft to PETA's complaints: "We do not condone illegal whaling"
Not too long ago, PETA complained about Assassin's Creed 4 that would feature harpooning whales, saying, "Whaling – that is, shooting whales with harpoons and leaving them to struggle for an hour or more before they die or are hacked apart while they are still alive – may seem like something out of the history books, but this bloody industry still goes on today in the face of international condemnation, and it's disgraceful for any game to glorify it. PETA […]
Leaked image of Assassin's Creed: Rising Phoenix, might be an upcoming title
Earlier today, All Games Beta posted a newly leaked screenshot of Assassin's Creed: Rising Phoenix. Ubisoft Digital Arts appears to be involved with the project. Since the title doesn't end with a number after the words Assassin's Creed, this might be the new 2013 Assassin's Creed PS Vita title. Or maybe it's another short animated movie like Embers. The faded picture behind the words show what looks like a laboratory of Abstergo Industries. While waiting for an […]
Tomb Raider has 1 million players in less than two days
Tomb Raider is definitely getting all the attention it deserves since its release on Tuesday. Crystal Dynamics global brand manager Karl Stewart announced via Twitter that the Lara Croft reboot has already one million players in less than 48 hours.
"Wow, 1m gamers playing in less than 48hrs! @tombraider fans, you're AMAZING. Hearing some stores are running low.. more copies are on the way!" his tweet read.
Tomb Raider was released on March 5 earlier this week. We're actually […]
Age of Empires 2 HD remake coming in April, multiplayer is back!
If you played Age of Empires during your younger days, great news! Microsoft just unveiled that a HD remake of 1999 classic real-time strategy game, Age of Empires 2, has been in the works thanks to Hidden Path Entertainment (the same developers who helped out in making Valve's Counter-Strike: Global Offensive). The remake covers both the original AOE2: Age of Kings game and its expansion pack released in 2000, The Conquerors Expansion.
Tomb Raider launch trailer shows an adrenaline-filled adventure with Lara
Tomb Raider just got launched for Windows, Xbox 360 and PlayStation 3 today and Crystal Dynamics has a one minute launch day trailer for the game. The video highlights the challenges and hardships Lara faces as she tries to survive, that shapes her to become the character she is in this modern-day reboot of the Tomb Raider series.
Tomb Raider's developer to hold Gathering Courage charity drive
Tomb Raider comes out tomorrow and Crystal Dynamics, developer of the game, just launched a new website called "Gathering Courage", a charity drive that will have the developer donate to good causes from collecting "inspiring stories".
Ubisoft: Female lead character in future Assassin's Creed is a possibility
Not a few hours ago, Assassin's Creed 4 was barely announced with some screenshots and there's already talk of what may be coming to future Assassin's Creed games after 2013. Ubisoft's Ashraf Ismail, who is also the Game Director for the upcoming Assassin's Creed 4: Black Flag was recently interviewed by game website IGN. One of the questions he was asked was about regarding the gender of the main character and why the last four […]
Assassin's Creed 4 trailer introduces Edward Kenway, new major details
The heat is definitely on for this triple A title! After showing off first screens of the game, Ubisoft has released a second trailer for Assassin's Creed 4, this time calling newly-announced protagonist Edward Kenway 'a pirate trained by Assassins'. The one-minute video zooms in on Edward's armor and weapons, besides showing his face contorted in various mid-scream expressions while fighting pirates.
Here are the details about Assassin's Creed IV: Black Flag:
Setting is in West Indies, 1715
50 unique locations […]
First Assassin's Creed 4 screenshots emerge
The first screenshots of Assassin's Creed 4 are looking incredibly impressive. Ubisoft is said to be giving the franchise a makeover to create a new experience for fans which, I say, is an excellent choice. Protagonist Edward Kenway can apparently hunt orcas, loot treasure underwater, leap onto other ships to engage in high sea battles, explore caves and plenty of other exciting and new activities. One of the pictures give us a very good look of Edward, who is donning […]
Rumors, Videos
Leaked Assassin's Creed 4 trailer reveals Edward Kenway, pirates, next-gen consoles, Oct 29 release
Ahead of its scheduled Monday revelation, the world premiere trailer for Assassin's Creed 4: Black Flag has leaked onto the internet. As we all know, as soon as something goes online, it's difficult to undo it.
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Those great summer drinks and amazing time with your friends drinking wine and mixed drinks, but what happens when you build alcohol dependence? What happens when you need more and more to get the same effect like your friends? Struggling with alcohol addiction is world's number one problem. Many people lose their job, get divorced, and argue with their friends and families because of alcohol. You don't have to be one of them. Now you have the chance to finally stop drinking, forever. This book is not just for all those that are having problems with alcohol abuse and addiction , It is not just about stopping it is about passing through withdrawal easily by easing the symptoms and how to stop and ignore the urges. YES, you can quit drinking without AA.
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Mary Crocker Cook, D.Min., LMFT, CADCII, has over 20 years experience providing counseling to addicts and their families through Connections Counseling Associates in San Jose, CA. She is the developer and coordinator of the San Jose City College Alcohol and Drug Studies program and is an adjunct Instructor with JFK University. She is the author of Awakening Hope. A Developmental, Behavioral, Biological Approach to Codependency Treatment and Afraid to Let Go. For Parents of Adult Addicts and Alcoholics.
Afraid To Let Go: For Parents of Adult Addicts and Alcoholics. This book is for parents who are Afraid to Let Go because they do not know how to set boundaries with their adult children without feeling crippling anxiety, or walling themselves off to make separation possible.
Awakening Hope (Revised). A Developmental, Behavioral, Biological Approach to Codependency Treatment (2011) offers a three-pronged solution to a serious disorder that has previously been primarily addressed from a behavioral perspective. Awakening Hope is a result of a devastating relationship loss by the author, Mary Crocker Cook who reports her experience with a candor and humor unusual for a therapist.