text:
Q: If $X,Y \subset P, \ X,Y \not = P$ and $X \cup Y = P$ can I then say something about $X \cap Y$? If $X,Y \subset P, \ X,Y \not = P$ and $X \cup Y  = P$ can I then say something about $X \cap Y$?
I have been trying to come up with something for some time now. What I have come up with is that
$X^c \cap Y = X^c$
and
$Y^c \cap X = Y^c$
but nothing more.

A: Given your question and your comment below it:
You cannot conclude $X\cap Y = \varnothing$.  Suppose $P = \{1, 2, 3, 4, 5, 6\}$, $X=\{1, 2, 3, 4\}, Y= \{3, 4, 5, 6\},\;$ so that we have that $X\subset P, Y\subset P.$  Then we also have $X\cup Y = P$, $X\neq P, Y\neq P$, but $X\cap Y = \{3, 4\}.$
As @ToanQuangPham posted above in the first comment, what you can conclude about $P$ in relation to $X, Y$, is that $$|P|=|X| + |Y| - |X\cap Y|$$

A: You can say:
$P = (X\setminus Y) \cup (Y\setminus X) \cup (X \cap Y)$ which are three disjoint sets.
And all the following:
$X \cap Y = P \setminus (X\setminus Y) = P \setminus (Y \setminus X)  $.
And $P \setminus X = Y \setminus X$ and $P \setminus Y = X \setminus Y$
Those should all be intuitive and easy to prove

redpajama_set_name: RedPajamaStackExchange


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President George Bush has managed to derail the most powerful economy in the world, speed up America's demise as the world's only superpower by 50 years or so, and return the world to the 8th Century Crusades, all while making his friends rich.
In April '92, Clinton camp called Brown victory "impossible"
Bill Clinton, on Sunday (May 25): "I have never seen anything like it. I have never seen a candidate [Hillary] treated so disrespectfully just for running. ... I can't believe it. It is just frantic the way they are trying to push and pressure and bully all these superdelegates to come out.
In 1992, the Iowa caucus occurred a month later than it did this year. So the length of time between the first primary and the Clinton camp's public pressure on their main rival to withdraw was two months. It's almost six months since Iowa this year, and it has been mathematically near-impossible for Clinton to win since March. The Clintons are such accomplished sociopaths that they begin to make you believe their lies after a while.
In May of 2006, John McCain said former Secretary of State James Baker was one of the "smartest" men he knew and that he was likely to ask Baker to serve as a diplomatic envoy to the Middle East. Speaking to an Israeli newspaper, McCain added "I know you in Israel don't like Baker."
Baker's comments about "appeasement" came on October 6, yet within a matter of days, McCain had once again included Baker on the list of his potential Middle East diplomats.
The video is from an October, 2006 interview on Hannity & Colmes.


text:
REVOKE ALL ON public.smart_metering_device FROM osp_admin;
REVOKE SELECT ON public.smart_metering_device FROM osgp_read_only_ws_user;

ALTER TABLE smart_metering_device RENAME TO smart_meter;

GRANT ALL ON public.smart_meter TO osp_admin;
GRANT SELECT ON public.smart_meter TO osgp_read_only_ws_user;

redpajama_set_name: RedPajamaGithub


A Contest Among Equals. A Contest among two teams that are led by amazing captains. A Contest among two teams that faced defeat at the hands of the same team - Delhi Daredevils. And they will face to decide who is the better among the two.
While one team has not settled down after the departure of its key players, the other team is gaining momentum under the guidance of their coach and captain. Personally it would be really exciting to see master tactician Warne face against Master Cool Dhoni.
I just hope that Dhoni & Co. get their act together with regard to the team's batting order. Also it is important the bowlers understand their role in the team and bowl with a clear purpose. Fleming and Raina, It is ripe time that you both came good with their bat.
A underdog team that everybody expected to lose has surprised all through their great performance. Even though I support Chennai Super Kings, it is Rajasthan Royals that has gained my respect in this short period of time. Especially Warne has been great all through the tournament with his excellent captaincy and bowling. The way the young lads are responding to him is a matter of envy for all IPL captains.
Captain Warne: Rather than the bowler Warne, I am more worried about Captain Warne. Especially since he had more time than us to prepare for this crucial match.
Kaif/Mascarenhas: These two players have not yet stamped their class on IPL [While one missed all the opportunities, the other has not got any opportunity]. Just hoping that they did not show their class tomorrow.
I don't think its going to be such a easy win fir CSK. RR sure doesn't have the sort of big names u would expect. But they seem to be a good team.
Dhoni must apologize to the CSK fans for his team's spineless performance. There is no shame in losing - but losing without fighting is criminal.
My reply to Chennai losing matches "Be positive, Stay positive"... With the way IPL is shaping up, i m sure any team that has won 8 or 9 games would surely qualify for the semifinals.. So we have to win just 4 more out of the rest 8.. Not a big ask..
The low score does not mean CSK lost without a fight.. Still there is a lot of matches to go.. we will see how they perform and then we will think about calling Dhoni to apologize to CSK fans..
@robin: An 8-wicket loss with overs to spare, poor fielding... these are reasons for despair. The match with Delhi DareDevils was at least competitive - Sehwag being the diff. This one was not competitive at all.


Abstract : We analyze the role of public sector employment in shaping women's labor market outcomes. The public sector is the biggest employer in most economies, and it hires dis-proportionally more women than men. Hence, public employment and wage policies affect women in particular, with implications for gender gaps in employment, unemployment, participation, and wages. We first carry out an empirical study documenting the differences in level of employment, transition probabilities, hours and wages for men and women in the public and private sectors, for France, United Kingdom, United States and Spain. Second, we build a search and matching model where men and women decide if to participate in the labor market and if to enter private or public sector labour market. Our framework allows us to disentangle and quantify how much of the selection of women into the public sector is driven by: (i) lower gender wage gaps and thus relatively higher wages for women in the public sector and/or (ii) possibilities of better conciliation of work and family life for public sector workers and (iii) an intrinsic preference for public sector activities. Our framework can be used to evaluate the effects of public sector employment and wage policies on gender gaps in the labor market.


text:
Jean Sarazin (also Sarrasin or Sarrazin), Latinized Joannes Saracenus (1539–1598) was an abbot of the Benedictine Abbey of St. Vaast, Arras, and the third archbishop of Cambrai.

Life
Sarazin was baptized in Arras on 20 July 1539. He was the son of Antoine Sarazin, a craftsman in the wool trade, and Marie de Poix, an inn-keeper. As a choirboy he came to the attention of the parish priest, who ensured he obtained an education. On 29 May 1556 he entered the Abbey of St Vaast. The abbot, impressed with his abilities, sent him for further studies in Paris and Leuven.

From 1575 Sarazin was the delegate of the abbot of St Vaast in the States of the County of Artois, and in that capacity was involved in negotiations relating to the Pacification of Ghent (1576). In 1577 he became abbot himself. An edition of the works of Prosper of Aquitaine, printed in Douai by Joannes Bogardus in 1577, was dedicated to Abbot Sarazin, as was Antonius Meyer's Ursus, sive de rebus Divi Vedasti Episcopi Atrebatensis (Paris, Charles Roger, 1580), and much later Philippe Bosquier's Le Fouet de l'Académie des Pécheurs (Arras, Guillaume de la Rivière, 1597).

Sarazin was active in bringing about the Union of Arras (1579) which was a first step towards reconciling the Walloon provinces of the Habsburg Netherlands to the government of Philip II of Spain. In 1582 he took part in a delegation from the Southern Netherlands to Philip II. A manuscript account of this mission was written by his successor as abbot of St Vaast, Philippe de Caverel, and was published in 1851 as Relation du voyage et de l'ambassade de Jean Sarrazin en Espagne et en Portugal, edited by Louis de Baecker (Bruges, 1851).

On 6 March 1596 Sarazin was appointed to the archbishopric of Cambrai in succession to Louis de Berlaymont, being consecrated in Brussels by the apostolic nuncio on 15 December 1596.

He died in Brussels on 3 March 1598 and was buried in the Abbey of St Vaast.

Writings
A manuscript volume of Sarazin's sermons (1578–1598) survives in the Bibliothèque Municipale Arras.

References

External links
Philippe de Caverel, Relation du voyage et de l'ambassade de Jean Sarazin en Espagne et en Portugal (Arras, 1860).

1536 births
1598 deaths
People from Arras
Benedictine abbots
Archbishops of Cambrai

redpajama_set_name: RedPajamaWikipedia


text:
Error Guide
How to fix Back 4 Blood TRS online platform failure and more errors
What should you do when you can't connect to Back 4 Blood's servers.
Tomas Franzese
Back 4 Blood's Open Beta is finally available to everyone this weekend.
While that means anyone remotely interested in the game can give it a shot, it also means that more people are on Turtle Rock's Back 4 Blood servers than ever before. As a result, some error messages have popped up for players eagerly trying to enter the beta.
If you've run into one of these errors, like the "TRS online platforms failed" message, this is what you need to know about handling it.
What are the most common Back 4 Blood error messages?
As the Back 4 Blood beta progress, on recurring error message is appearing to players. You must sign in online before playing the game, and when some players are attempting to do so they get a message that says, "Sign in to TRS platform failed." From there, your only options are clicking okay and trying to sign in again or existing to desktop if you're on PC.
This video shows the error in action.
If you can't tell, TRS stands for Turtle Rock Studios, the developer behind Back 4 Blood. This message means that you can't connect to the developer's servers and sign in for some reason, which is required to play the game.
How to fix the Back 4 Blood error messages?
The first thing you'll want to do is make sure you have a stable internet connection so you can actually connect with their servers. Players are still running into this error message with a good internet connection, though. On Reddit, a few fans say they have had success by clearing their download cache or alternating their MAC address.
If none of that works, there isn't much you can do. One of the main functions of an Open Beta is to test out the game's servers with a massive number of players. More people than ever before are trying Back 4 Blood, so Turtle Rock Studios' servers are likely running into issues. The only thing players can do in this case is wait and try again later.
Why are Back 4 Blood server errors happening?
Server issues are common in online video games. The developers of Splitgate, another online game that had server problems in beta, recently explained to Inverse was these server issues crop up.
"The backend has to handle authentication, matchmaking, tracking user stats, coordinating parties, banning cheaters, reporting metrics, calculating challenges, displaying the store, processing payments, and much much more," 1047 Games' VP of Engineering Olly Freeman says. "The interrelated nature of many of these actions means that the more players that you have, the more complex the interactions and computations, which means that you need increasingly intricate, optimized, and resilient algorithms as your player base grows."
While Turtle Rock Studios is a much bigger developer than 1047, they are still running into the same problems while rolling the game out on a massive scale. Issues like these are bound to happen during any beta period, so don't be too shocked if this message comes up for you. If it does happen, just set the game down and come back later once any issues are worked out.
Back 4 Blood will be released on October 12, 2021.

redpajama_set_name: RedPajamaCommonCrawl


Calendars are now available to buy online or via a form in your printed Examiner!
We asked our readers to help us put together our official 2015 Calendar and the response was huge.
Hundreds of your photos were submitted, showcasing our beautiful town and surrounding countryside and the final twelve are showcased in our unique calendar.
Now you have a chance to buy one for just £6.
All profits from the sale of this calendar will be donated to the Isaac Nash Trust. This local charity has been set up in memory of Isaac Nash, who was tragically taken at just 12-years-old by the sea in North Wales.
His family are now working towards building a local skate park in his memory and to raise funds for the RNLI.
To order yours, complete the form available every day in paper or by clicking here to go to our online calendar shop. This is in association with our sister paper Manchester Evening News and will open in a new window.
If you collected tokens in paper and submitted the, you should expect to receive your calendar in the post over the course of the next few days.
Please allow up to 28 working days for delivery. Calendars will be sent via Royal Mail first class delivery. Standard Trinity Mirror terms and conditions apply see examiner.co.uk/rules .


text:
Q: How can select from same Id's different values? So I want to make a web page switch pages without loading , but I cannot seem to understand how to verify when a different different value is in my Id:

home

market

Want to output it to:

And this is my script:
var element = document.getElementById('myId');
element.addEventListener('click', () => {
    switch(element.innerHTML) {
    case "market":
        document.getElementById("dankMeme").innerHTML = "you are in the market";
        break;
    case "home":
        document.getElementById("dankMeme").innerHTML = "you are in the home";
        break;
    default:
        // code block
    }
});

why does it only work with the first id ?
how can I make it work with all Id's?

A: for valid HTML change the ID to Class, you need to loop to add listener to the multiple element

var element = document.querySelectorAll('.myNav')
element.forEach(function(item) {
  item.addEventListener('click', () => {
    switch (item.innerHTML) {
      case "market":
        document.getElementById("dankMeme").innerHTML = "you are in the market";
        break;
      case "home":
        document.getElementById("dankMeme").innerHTML = "you are in the home";
        break;
      default:
        // code block
    }
  });
})

home

market

A: The id attribute specifies a unique id for an HTML element (the value must be unique within the HTML document).
The id value can be used by CSS and JavaScript to perform certain tasks for the element with the specific id value.
In CSS, to select an element with a specific id, write a hash (#) character, followed by the id of the element


text:
NedZink
New Metals
Dizal
Ceilings Plus
Aurubis
Epic Metals
Panelite
StoVentec
Hunter Xci
ArmorWall
StronGirt
ShapeShell
Interior Applications
Lighting/Sun Control Applications
AIA Continuing Education
Zinc In Construction And Its Benefits
"Committed to promoting creative applications of zinc.- NedZink
In the late 19th and early 20th centuries, architects in the US started making sheet-based roofs using zinc. While it was all but forgotten in the years after WWII, due to the production of cheaper thermoplastic and synthetic rubber, pure zinc is now regaining popularity – mainly due to an increased demand for eco-friendly building materials.
Zinc, a silvery-white metal, is a natural element, and the 24th most abundant metal in the Earth's crust. Like other metals, zinc can be used to form certain compounds – for example, the first alloy ever created was brass, which is a combination of pure zinc and copper.
Long before the mining industry grew, zinc was extracted from ores, which are rocks that also contain other metals, like lead and copper.
A Brief History of Zinc
While zinc was known to the Greeks and Romans before 20 B.C., it was not mas produced until the 12th century. Before being identified as a separate metal by the Swiss-German physician, Paracelsus (1493-1541), zinc was commonly used to make weaponry, buckets, and wall plaques around the world.
In fact, Europeans did not begin smelting zinc before the end of the 18th century; and this process was only adopted by the Americans in mid-19th century.
Today, zinc is one of the most in-demand metals in the world; while it's primarily used as a corrosion resistant coating for galvanizing steel and iron, it has multiple applications in the world of health, medicine, agriculture, etc.
Mining and Commerical Use
Known as 'spelter' in the world of commerce, zinc is the 4th most used metal in the world, with a market of $40 billion. While the largest zinc mine in the world is located in Rajasthan, India, over 50 countries around the world mine zinc; with China, Australia, Canada, and the US being the largest producers.
Currently, zinc is used around the world for roofing, and exterior cladding on buildings and other structures. To add to its uses, zinc alloys are an ideal material for die casting, which is one of the most commonly used manufacturing processes. Its applications are widespread, and zinc alloy die casting can be used for numerous decorative and functional purposes.
Benefits of Zinc
Durable and Resistant to Corrosion
One of the major problems while constructing with iron or steel (an alloy of iron and carbon), is the formation of rust, due to moisture in the air. This issue is eliminated when zinc is used, as it wards off corrosion
Pure zinc forms a thin protective layer, called Patina, which protects the material from natural elements such as air and water. This is why zinc is used to coat and galvanize iron and steel; it keeps them safe from corrosion, and adds to the durability of the material.
Consider this: the first zinc roofs were made by the Europeans in the 19th century, and they are still intact after all these years! This is due to the "self-healing" nature of zinc, meaning that in an exterior environment – scratches would re-develop patina and thus "heal."
Available and Practical
With 5 different isotopes or variants, Zinc, including aluminum and iron, are some of the most commonly used metals in a number of industries.
It is readily available, easy to use, and requires simple handling; these are some of the reasons why zinc is so popular among builders and architectural firms around the world.
Awarded The "Green" Tag
Green construction is quite popular nowadays, especially due to extreme climate changes around the world. Construction firms and home owners are both working to reduce energy costs, and production of harmful emissions.
Known as a "green" metal, Zinc requires less energy to produce, compared to other metals like aluminum and copper. It also has a relatively lower melting point, and can be recycled indefinitely without loss of its chemical or physical properties.
Fun Facts About Zinc
Despite being a metal, Zinc is an essential nutrient for both humans and plants. Zinc is found in cells present in the human body and is vital for supporting the immune system and many biological functions including: disease resistance, wound healing, and digestion. It also amplifies the sense of taste and smell
Zinc has such a long half-life, that its radioactivity is almost non-existent
Zinc has been in use as early as 1000 B.C.
Pure zinc releases hydrogen gas on contact with sulfuric acid
Zinc has a high boiling point of 907*C, and high electrical conductivity
When burned, zinc produces a bright blue-green flare
Zinc can be blended with, and even used, to highlight other materials, making it popular for constructing facades
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To make the right decisions now and in the future, SkyNRG is advised by an independent Sustainability Board, consisting of representatives of WWF-International, European Climate Foundation, Solidaridad Network, and the University of Groningen. The Board advises SkyNRG on all aspects related to the impacts sustainability can have on the business (feedstock, new R&D projects, development of Direct Supply Lines, policy implications, media exposure, managing stakeholders etc.). In the case of advice on feedstock and DSL, SkyNRG's Sustainability Board follows a strict procedure to come to an advice. SkyNRG is committed to having positive advice of the Sustainability Board before continuing with a specific feedstock, supplier or supply chain project.
The process, as written in the by-laws, consists of three steps. First initial information of the feedstock supplier is gathered and presented to the Sustainability Board. The board can then make a decision which is either: positive, negative, or a request for more information. The first only happens when the supplier has a proven independently assessed track record, e.g., a Roundtable on Sustainable Biomaterials certification of their process. When the board recommends avoidance, the dossier with this supplier will be closed and SkyNRG is not able to use the feedstock or supplier. A request for more information can consist of additional information or a field visit, to ensure that the sustainability criteria are met. The third and final step will then be the approval and possibility for SkyNRG to continue with the procurement of the feedstock.