> > For now.  Yeah, sure.
> > the point and pressing C-s."  Welcome to the rabbit hole.
> might mean jumping through a few hoops (is it worth it?).
> about some bit of jargon, then argue on emacs-devel  to change it.
I started using emacs around '92 -- context was (some predecessor) of comint.
Teaching python with emacs 10 years later.
Next by thread: Re: Need help with emacs clipboard.


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HOME > > Atlantic City casino grand reopenings ignite new sense of optimism
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Atlantic City casino grand reopenings ignite new sense of optimism
By Gary Trask
ATLANTIC CITY – There were vibrant fireworks, A-list celebrities, free champagne, a balloon drop and "guitar smashing." Ceremonial first bets were placed at a brand-new sportsbook; long lines of politicians, CEOs and tribal leaders shared excessive words of thanks and praise at press conferences and ribbon-cuttings; and dozens of high-end restaurants opened their kitchens and served their maiden meals and poured exotic cocktails. And it all happened in a span of less than 15 hours on Thursday at two extravagant properties that sit about 600 paces apart on one of the most iconic pieces of shoreline in the U.S. Yesterday was much more than a day that saw Ocean Resort Casino, former home of the shuttered Revel Casino Hotel, and Hard Rock Hotel & Casino - Atlantic City, previously Trump Taj Mahal, celebrate grand openings. It was also — and perhaps more importantly — the official start of Atlantic City's much-needed "rebirth." "As you look out and see the beautiful backdrop of the Atlantic Ocean and the infamous boardwalk, Atlantic City is truly back in the game," Atlantic City Mayor Frank Gilliam said outside on the steps of Ocean Resort Casino, overlooking the Atlantic Ocean on a sun-splashed afternoon. "This a monumental moment. This was truly a collaboration of folks finally realizing that Atlantic City is not only an important part of New Jersey history, but world history."
Lobby of new @HardRockHCAC in Atlantic City. https://t.co/ZFJk2WQB3V
— Gary Trask (@casinocityGT) June 28, 2018
Less than 30 minutes before making this bold statement, Gilliam was at Hard Rock, where he called Atlantic City a "sure bet." "There's a new energy in this town that we can basically thank Hard Rock Atlantic City for," he said. "Things like this don't just happen by chance. It happens with people who have vision, who have guts, and took a chance and bet on Atlantic City. Let me tell you, Atlantic City is a sure bet." That, of course, remains to be seen. Between 2013 and 2016, five of the city's 12 casinos closed, for a variety of reasons ranging from market saturation to poor management. But following Thursday's two openings, the number of casinos on the AC roster is back to nine, and all is good in the world . . . for now. While both properties announced "surprise" openings Wednesday night, the official ceremonies didn't begin until Thursday morning. And the difference in the ways the two properties presented their grand openings was striking. The Hard Rock's ceremonies were not only much longer, but also gaudier and more flamboyant. Following a press conference that began at 9 a.m. and ran well over an hour, the next stop was the newly dedicated and refreshed Etess Arena for the guitar smashing, an event that was scheduled to start at 11 a.m. but didn't begin until almost 30 minutes later. As no less than a dozen different executives and tribal members came to the podium to say a few words and thank the Hard Rock and Seminole Tribe of Florida, media members and others planning to attend the 1 p.m. ribbon-cutting at Ocean Resort Casino were looking at their watches and wondering if they would make it. Chairman of Hard Rock International and Chief Executive Officer of Seminole Gaming Jim Allen called the opening a "bridge to the rebirth" of Atlantic City and reminded the crowd, which included 800 tribal members, what he said a little over a year ago when the project was announced under certain scrutiny. "I promised that we wouldn't just put a coat of paint on the building and put a big guitar on the wall," said Allen. "So, here we are, $500 million later. Look around — I think we fulfilled that promise." Allen also mentioned that the property was sold out of guest rooms for opening night after an "overwhelming" response, and that over 50,000 people applied for jobs at the resort and they hired 3,900 of the "very best." The actual smashing, which didn't happen until 12:35 p.m., was presided over by Springsteen drummer Max Weinberg and entailed 25 dignitaries, executives, Seminole Tribe members, CEOs and celebrities — including Black Panther star Michael B. Jordan — slamming Hard Rock guitars to the ground on the count of 10, prompting a balloon drop, confetti, blaring music and loud cheers from the crowd of a couple thousand people who had sat through the ceremony to see it finally happen.
Guitar Smash sequence at @HardRockHCAC pic.twitter.com/lBKhnRkd7z
— Casino City (@casinocity) June 28, 2018
The Hard Rock agenda then graciously stepped aside for the Ocean Resort Casino festivities (at least until the 10 p.m. firework show), but it certainly didn't leave much wiggle room. By the time most folks trying to attend both ceremonies fought their way through the sea of people and purple and yellow balloons, worked their way across the crowded casino floor to the boardwalk, and made the 10-minute walk to Ocean Resort Casino, a large crowd had already gathered on the front steps of the property, where Gilliam (who must have used some sort of secret tunnel to get there in time), New Jersey Senator Chris Brown, Director of the New Jersey Division of Gaming Enforcement Dave Rebuck, and superstar actor Mark Wahlberg were on hand for the "official opening" of the 1,399-room resort that is the tallest building in the city. "I'm not sure the Boardwalk has ever been this busy on this side of town, but that's about to change," said Bruce Deifik, owner and chairman of Ocean Resort Casino. Senator Brown drew the loudest cheer when he thanked Deifik for having the "marketing wisdom" to include the Walhberg family, which will open a Wahlburgers restaurant this summer. "We're all now official members of Marky Mark and the Funky Bunch," he said to a rousing ovation, referring to Mark Wahlberg's former hip-hop group.
On to the ribbon cutting at @TheOceanAC down the street where @markwahlberg is on the AC Boulevard. pic.twitter.com/BEB1eQMBZL
After the blue ribbon was cut, Wahlberg needed five security guards to help him walk down the boardwalk, dodge the swooning females in attendance and dart into a side entrance, where he immediately went to the new, 7,500-square-foot William Hill Sports Book and placed the first wagers: $200 on over 5.5 wins for the Cleveland Browns and $100 on the New England Patriots to win the Super Bowl at 6-to-1 odds. "It was a very cool moment and the crowd loved it," William Hill US CEO Joe Asher said. "This whole week has been amazing. I used to vacation in Atlantic City as a kid, so to be part of a team that opened one of the first sportsbooks in the city and to help add to all of the excitement here has been extra special for me."
The @WilliamHillUS Sports Book opened for business today at @TheOceanAC and will expand to 7,500 square-foot space by the start of football season. Mark Wahlberg placed first bets: $200 on over 5.5 wins for Browns and $100 on Patriots to win Suoer Bowl at 6-to-1. pic.twitter.com/YijJN8DF7z
The rest of the afternoon was spent exploring the massive resort, which takes some time. There's a 138,000-square-foot casino floor with more than 100 table games and nearly 2,000 slots. There are 15 restaurants and bars, including the "world's largest" Topgolf Swing Suite, which weighs in at 26,000 square feet, and continues the blossoming company's expansion into the casino market.
Just got a sneak preview of the "world's largest" @Topgolf Swing Suite @TheOceanAC and, trust me, when it officially opens its doors tonight, guests will be blown away. Amazing ocean views, 11 bays and 26,000 square feet of fun. This rendering doesn't do it justice. More to come. pic.twitter.com/wQDnOZGioC
That's not all. The resort also features six pools, 160,000 square feet of meeting and convention space, 90,000 square feet of outdoor space for receptions and celebrations, a 40,000-square-foot Exhale spa with 31 treatment rooms, a 3,000-square-foot bath house, and a mind-body studio and retail boutique. Ocean Resort Casino brought even more star power to the table when actor and comedian Jamie Foxx hosted a night of entertainment in the 4,200-seat Ovation Hall event venue. About an hour after the show closed, it was back to the boardwalk to see the Hard Rock's firework show explode over the ocean before the DAER Nightclub officially opened its doors to a huge crowd.
View from a guest room at @TheOceanAC as the sun sets on an eventful day in Atlantic City. pic.twitter.com/gcmwiPcKX1
"I'm very excited for Atlantic City because I see it transforming in front of my eyes," Deifik said earlier in the day. The hope is that that transformation continues for more than one weekend or a couple years. The hope is that Atlantic City returns to prominence as an entertainment destination. And for at least one very long and eventful day, that hope was fulfilled.
Atlantic City casino grand reopenings ignite new sense of optimism is republished from iGamingAffiliatePrograms.com
Gary Trask
Gary serves as Casino City's Editor in Chief and has worked as a writer and editor more than 20 years. The Boston native was a member of the Poker Hall of Fame's inaugural Media Committee and a current member of the Women in Poker Hall of Fame voting panel.
Contact Gary at gary@casinocity.com and follow him on Twitter at @CasinoCityGT.
More about Gary Trask
More articles by Gary Trask
Gary Trask's Website:
twitter.com/#!/casinocityGT

redpajama_set_name: RedPajamaCommonCrawl


text:
Q: Nested loop throuh a dataframe and compare it's string column values with a list of string tuples and create a new column conditionally? I'm using Python 3.9.12 to do some data manipulation. I have a dataframe, df that looks like this:
      name1      name2           region_name
0     Salo       saloo           UPPER SINDAN
1     rnelih     NaN             RIMAN TRIST
2     benini     NaN             Lower Tangi
...  ...         ...             ...
999   kremith    kremithin       MIKLAR
1000  Riro       rirron          LOWER BASTI

And a list of tuples ls that is a returned result by cursor.fetchall() from db and it looks like this:
[(47, 'Upper Sindan', ''),
 (48, 'Riman Tah', 'Riman Trist'),
 (27, 'Timbari', 'Timbarlin'),
 (768, 'MIKLAR', ''),
 (769, 'Dindan', ''),
 (770, 'Shina Hardi',''),
 (...,  '.........','...'),
 (921, 'KIMAN DARIB', 'lower basti')]

My goal is to loop through the df and compare every single value of column region_name with the second and third value of the tuple in the entire list  ls. If they are equal (case insensitive) then fetch the corresponding number from the first value of the tuple in the list and create a new colmun region_code in df with fetch value that corrosponds to the matched region name. For non matched put empy value and if it could not find any match in the entire list then don't create the column region_code.
I have tried with below blocks of code but all of them failed:
 for item in ls:
        if df['region_name'].str.contains(item[1]).any() or
     df['region_name'].str.contains(item[2]).any():
            df['region_code']=item[0]
        else:
            df['region_code']=""

#Here I get empty region_code in the df

for index, row1 in df.iterrows():
    for item in ls:
        if (row1[2] == item[1]) or (row1[2] == item[2]):
            df["region_code"] = item[0]
        else:
            df["region_code"] = ""

#Here I get empty region_code in the df

And for this one:
for index, row1 in df.iterrows():
    for item in ls:
        if (row1[2].str.lower() == item[1].str.lower()) or (row1[2].str.lower() == item[1].str.lower()):
            df["region_code"] = item [0]
        else:
            df["region_code"] = ""

#Here I get: AttributeError: 'str' object has no attribute 'str'

I really appreciate if someone can point out what I'm doing wrong or a better way to do this? Thank you for your help!

A: Use Series.map with dictionary of lowercase values by DataFrame.melt:
L = [(47, 'Upper Sindan', ''),
 (48, 'Riman Tah', 'Riman Trist'),
 (27, 'Timbari', 'Timbarlin'),
 (768, 'MIKLAR', ''),
 (769, 'Dindan', ''),
 (770, 'Shina Hardi',''),
 (921, 'KIMAN DARIB', 'lower basti')]

d = pd.DataFrame(L).melt(0).set_index('value')[0].rename(str.lower).to_dict()
print (d)
{'upper sindan': 47, 'riman tah': 48, 'timbari': 27, 'miklar': 768, 'dindan': 769,
 'shina hardi': 770, 'kiman darib': 921, '': 770, 'riman trist': 48,
 'timbarlin': 27, 'lower basti': 921}

And then:
df['region_code'] = df['region_name'].str.lower().map(d).fillna('')

redpajama_set_name: RedPajamaStackExchange


Even clubs like Wolves and Leicester look to have more brighter futures than ourselves.
Ask yourself why do our fans accept it?
Why are they sat in 11th yet dont feel the need to demand better?
I would hate Liverpool to win anything but if winning the league is the straw that breaks the camel's back for the fans/Moshiri then so be it as im sick of falling out of love with my club.
The RS left us for dust in the 70s . One trophy more or less doesn't make much difference now.
After this press conference, I have to say he was sincere, protective to the players....He looks at them as human beings, I can only hope the team reward him with better performances, I dont expect a win every week but it would be lovely to see a concentration improvement at least..
I do like Marco, Cant help it. I also have to think next season we will begin to see the fruits of his belief system....if not I would prefer to get rid of the weak players before getting rid of him. He seems pretty set in his ways so we need the players to live up to his way....or we buy again.
Moyes had a very specific type of player, leaders and yes men..and he eventually got a cohesive side. I think Marco needs the same time and staff to appreciate his idea.
The thing is its getting that bad that im starting to envy clubs like Wolves - sat in 7th, looking up the table, solid philosophy, players that give a damn, decent manager, can beat a top 6 side on their day, ambitious fanbase, 1 game away from a Cup Semi Final and day out at wembley.
This clubs a shambles from owner, manager, players and fans.
Wolves are about as relevant as we are in the modern game to be fair.
Please explain why we have any right to look down our noses at a club that has achieved vastly more than we have in the last 30 years?
Mate who is a United fan said it all to me today. What on earth were the board at Everton thinking, when they hired someone who had won a few games at Hull and Watford. How does that make him suitable to manage a club of Everton's standing?
This is what makes me sad, the fact that fans of other clubs can quite clearly see our shortcomings and where we should be in regards to stature.
Tbf your bottom statement is exactly my point regarding the fans.
If our fanbase - the lifeblood of the club dont demand us to be outperforming a side who was in the fizzy pop league last season, what hopes have we of a bloke with no connection to the club who makes the decisions demanding it? Or the 11 blokes on the pitch from all over the world with no affinity to the club?
It starts with the fans, Liverpool fans wouldn't accept it, hell Wolves fans would be fuming being sat in 11th as their expectations are that high and fair play to them.
It got me thinking. The hierarchy of the club have supposedly big aspirations with regard to the stadium, yet arguably the most important position within the club (the manager) is filled by a man without the credentials to do the job.
If our fanbase - the lifeblood of the club dont demand us to be outperforming a side who was in the fizzy pop league last season, what hopes have we of a bloke with no connection to the club who makes the decisions demanding it?
You keep blaming the fans. Which is laughable.
Moronic fans with an inflated POV of what Everton 2019 is.
Just go the game, cheer on the team and keep your trap shut.
We should defo be finishing above City cos we won a few trinkets a long time ago.
He needs to show something in these final games to prove he deserves a second season. A season is enough to show improvement even if he is working with a squad that largely isn't his he needs to show more. The record we have at home and against the big teams is utterly acceptable.
So did Swansea at one point.
You wasnt around then when cushions were thrown from the stands? Demanding better isnt something exclusive to modern day football and if you believe that you have a very selective memory.
Our problem is acceptance of mediocrity and it runs throughout the club.
Players "we dont have the luck at anfield"
Then you have clowns like Denise talking about challenging for the title down the line whilst we have Marco Silva as manager and DCL as our centre forward.
I can accept failure so long as the club tried its best, Moshiri being rejected by 3 top managers and appointing mid table Silva I would begrudgingly accept - chasing mid table Silva and interviewing not one other candidate I wont and its that small time acceptance thats destroying the club at present.
If the fans dont sort themselves out and start holding the actions of the management and board out we'll be another Villa in the next 1-2 seasons its a certainty to happen, if we persist with Silva and 2 out of the 3 promoted sides have good seasons next year we are in big trouble when we can only get wins against the bottom 3/4 sides.


text:
Q: A definite integral involving $\exp(-a\cosh x)$ Wolfram alpha can not integrate the following integral:
$$\int_0^\infty x^n \exp(-a\cosh x)dx$$
Thanks-
Mike

A:
By the way I checked Wikipedia and have not found anything that is directly related to this integral.

So I assume you missed the part where $~\displaystyle\int_0^\infty\exp(-a\cosh(x))~dx=K_0(a),~$ which is what we
get when letting $b=0$ in $~\displaystyle\int_0^\infty\exp(-a\cosh(x))\cosh(bx)~dx=K_b(a).~$ Now, what happens if
we differentiate twice both expressions with regard to b, in $b=0$? We get $~\displaystyle\int_0^\infty x^2e^{-a\cosh(x)}dx=$
$=\bigg[\dfrac{d^2}{db^2}K_b(a)\bigg]_{b=0}~$ so, by repeating the process a number of times, for even values of $n=2k$, we
have a closed form in terms of even order derivatives of the Bessel K function.


text:
Arianna Huffington, Contributor
Founder, The Huffington Post; Founder and CEO, Thrive Global
From DSK to BSkyB: Media Takeaways From the Latest Round of Scandals
07/20/2011 11:47 am ET Updated Sep 19, 2011
First, there was the frenzied coverage of the arrest of Dominique Strauss-Kahn. Then came the media-gasm brought on by the Casey Anthony trial. And now we have the phone-hacking scandal currently hacking its way through the UK's corridors of power (complete with a pie-throwing protester and Wendi Deng Murdoch fearlessly going MMA Mama Grizzly).
My first reaction to the ever-widening UK scandal was disgust. My second was amazement, as the sophisticated country where I went to college has increasingly taken on the trappings of a seedy banana republic, where Policeman A is investigating Suspect B, but also having dinner with him -- and Politician C hires Suspect B because he's good friends with Editor D, who was at Politician C's wedding. And round and round the connections and the corruption go. It's elite Britain modeled on an organized crime family.
And now that the revelations and resignations are coming faster and reaching higher, there's a distinct end-of-empire feel to things. Britain has the dubious distinction not only of being the country most associated with loss of empire, but of managing to keep losing it over and over again in new and ever more inventive ways.
As for the details of the scandal itself -- and the coverage of it -- it's worth noting that the media organization at the center of it wasn't some new media upstart or unsupervised blogger of the sort the traditional media are always wringing their hands over -- worried that said upstarts haven't properly absorbed the ethics of their media elders. Instead it was a very traditional media elder, indeed one that was 168 years old. I should say, of course, a former very traditional media elder -- an elder that was brought down with blinding speed, at least in part, because of new media.
As we are seeing more and more frequently -- and in more and more arenas -- new media can be the ultimate tool for holding people and institutions accountable. Within hours of the revelation that News of the World reporters had accessed the voicemails not just of celebrities, politicians, and royalty but of murder victims and the victims of the 7/7 terrorist attacks, a Twitter campaign using the hashtag #NOTW sprang up and immediately became a phenomenon. It was the online equivalent of a rallying cry: across the world people were using it to unite and gather around a common cause. At its peak, the #NOTW hashtag was getting nearly 75,000 tweets per hour.
Many of them were targeted at persuading News of the World's advertisers to abandon the paper. The social media campaign proved effective: advertisers did pull their support, and Rupert Murdoch quickly pulled the plug.
And new media played a role in killing the bid by News Corp. to take over all of BSkyB. One of the reasons the Murdochs withdrew their bid was that nearly all of Parliament, and the leaders of all three major parties, were urging them to do so. And one of the reasons why these politicians were suddenly against the deal was because politicians are particularly good at reading the tea leaves -- and social media are the ultimate tea leaves.
So not only do social media allow citizens to more fully engage with the news, and thus become a part of the story, they also allow political leaders -- who in recent years have become increasingly deaf to the real concerns of the people -- to more directly hear them. Whether they want to or not.
Over the last few decades, our political leaders have acted as if their real constituency is the nexus of lobbyists and special interests that has crowded ordinary citizens out of the public debate. Social media are becoming a very effective battering ram the public can use to force its way back in.
Social media are also increasingly becoming the place to go for funny commentary about the news in real time -- before Jon Stewart comes on. On Twitter, for instance, there's currently a hot meme in which people are combining takes on the Murdoch case with Shakespeare. You can find them with the hashtag #shakespeare4murdoch. Entries include:
"If we Murdochs have offended/Think but this: News of the World is ended." -@HESherman
"Friends, Romans, countrymen. Lend me your phones." -@zahirriaz
"For never was a story of more woe/Than this of Murdoch and his CEO." -@MitchBenn
Even funnier -- though unintentionally this time -- was the coverage of the scandal on Fox News' Fox & Friends, which James Fallows deemed "the most incredible thing Fox News has ever done." Basically, they knew they had to say something about the case, but they decided to join in on the indignation by making News Corp. the victim. Maybe that bizarro defense will work for all the News Corp. staffers being indicted.
More laughable still was the Wall Street Journal's editorial defiantly defending Murdoch and the paper's just-resigned former publisher Les Hinton -- despite, as HuffPost Media's Jack Mirkinson put it, News Corp. spending days "abjectly apologizing for the criminal behavior inside the company, with Rupert Murdoch personally leading the way in signed, full-page ads that ran in every national newspaper in Britain."
One final social media wrinkle: before trying to nail Rupert Murdoch with a pie during his appearance at Parliament, protestor Jonathan May-Bowles apparently tweeted: "It is a far better thing that I do now than I have ever done before #splat". After the incident, his ex-girlfriend took a swipe at him via Twitter, changing her profile to "Not funny, Not Clever, Not Your Girlfriend."
Before switching media scandals, it's also worth noting that while the phone hacking was perpetrated by a media outlet, the scandal would never have come to light if it wasn't for the dogged efforts of another media outlet, The Guardian, which has made such a strong commitment to its digital future. With the police, politicians, and prosecutors apparently too bound up in their clubby, toxic ecosystem, The Guardian, led by reporters Nick Davies and Amelia Hill, diligently stuck with this story for years and brought the truth to light.
In the case of Dominique Strauss-Kahn, there were plenty of sordid details and breathless accounts for the media to feast on but, in this instance, the media frenzy actually took a back seat to the frenzy of the prosecutors. According to the New York Times, the office of Manhattan District Attorney Cyrus Vance, fearing that DSK would flee, pushed aggressively for a quick indictment. The speed of the prosecution added fuel to the media coverage.
But even without it, the story had plenty of elements that warranted national coverage -- the head of the IMF, a leading candidate for the presidency of France, being accused of rape. There were, of course, examples of sensationalist media over-reach, such as the story in the New York Post accusing the alleged victim of being a prostitute -- for which the paper is now being sued.
And a French outlet -- not an American one -- just reported that DSK went on, as the Daily Telegraph puts it, a "sex binge" to "let off steam" before the French election. I guess he's never heard of jogging. Or hotel porn.
The Casey Anthony trial, on the other hand, was the apotheosis of media sensationalism -- a classic example of the press whipping itself into a lather. As Poynter's Julie Moos notes, the week of the verdict, Anthony was the top media story, surpassing President Obama, the debt crisis, the death of Betty Ford, the NOTW shutdown, and everything else.
Yes, a sensation-filled murder trial like Anthony's is always going to get a certain amount of coverage (see OJ, Robert Blake, Phil Spector, the Menendez brothers, etc, etc). But this one hit Balloon Boy proportions. And the excuse is always: hey, we're just giving the public what it wants. But, as the Columbia Journalism Review's Alysia Santo asks, "All this outrage leaves the nagging question: Which came first, the public interest in the trial, or the 24/7 news coverage?"
And when a story consumes as much media oxygen as this one, it's fair to wonder: what's the opportunity cost? What's not being covered as a result? In the all-too-predictable post-mortems posing the rhetorical question, "did the media overdo it?", we seldom ask, "what are the stories on which the media might be under-doing it?" We know what they overplayed; what did they underplay?
Inevitably, the media will claim that we are drawn to stories like the Anthony trial because of "the human element." But, in fact, pretty much any story that involves humans can have a human element. And, with a just little more work, one can find plenty of "human elements" in the lives of the over 25 million unemployed or underemployed Americans.
How great would it be if all the news anchors and pundits who, in the last month have emoted about their legitimate concern for mistreated children like Caylee Anthony, gave even a fraction of the emotion -- and air time -- to the 15 million children in America who are currently living in poverty? We were all moved and horrified by the death of Caylee. By telling the stories of some of those 15 million, this capacity for empathy that we're all so clearly capable of could move us to action and save an awful lot of children from lives of quiet -- and not so quiet -- desperation.
Perhaps with the rise of social media, and the blurring of the distinctions between media producers and media consumers, those millions of human stories, so often lost in the cacophony of scandals -- some worthy of page one coverage, some not -- will get their time in the spotlight.
Rupert Murdoch News Corp Media Phone Hacking Scandal Dominique Strauss-Kahn


text:
Q: Recurrence relation for Legendre polynomials show that
$$(n+1)p_{n+1} (x) = (2n+1)xp_{n} (x)-np_{n-1} (x) $$
attempting the problem above,
from Rodrigues' formula
$$(n+1)p_{n+1} (x) = n+1 \frac{1}{2^{n+1}(n+1)!} \frac{d^{n+1}}{dx^{n+1}} (x^2-1)^n $$
$$(n+1)p_{n+1} (x) =  \frac{1}{2^{n+1}n!} \frac{d^n}{dx^n} n(x^2-1)^{n-1}2x $$
$$(n+1)p_{n+1} (x) =  \frac{1}{2^{n}n!} \frac{d^n}{dx^n} 2nx(x^2-1)^{n-1} $$
   $$ =  \frac{1}{2^{n+1}(n+1)!} d\frac{d^n}{dx^n} 2(n+1)x(x^2-1)^{n} $$
put n=n+1
    $$ =  \frac{1}{2^{n+1}(n+1)!} d\frac{d^n}{dx^n} (2n+2)x(x^2-1)^{n} $$
am trying to joggle the equation to be able to arrive at the solution. Before posting this, i have thought of many ways i could arrive at the solution but to no avail. pls help out!

A: Try this link. It explains the solution using a generating function approach
http://rutherglen.science.mq.edu.au/math335s112/notes/Recurrence%20relation%20Pn(x).pdf
Using the Rodrigues formula might get a bit cumbersome.


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Women people of color more likely to pastor smaller churches and to pioneer in crossracial appointme
Women, people of color more likely to pastor smaller churches and to pioneer in cross-racial appointments
By Julie Kathleen Schubring
While there are few surprises in a recently released study on the status and career paths of U.S. United Methodist clergy, the findings still offer a blueprint for how the denomination can better address institutional sexism and racism in our clergy recruitment, compensation and deployment systems.
The number of U.S. congregations led by women grew by 45% between 1997 and 2008. During that same 11-year period, the number of racial-ethnic pastors leading church increased by 22%.
Women led a larger percentage of congregations (36%) in the Northeastern Jurisdiction in 2008, than in the Southeastern Jurisdiction (20%).
Larger congregations are far less likely to have a lead female pastor than smaller congregations. The percentage of female sole/lead pastors decreases dramatically as congregational size increases, from 25-45% of smaller congregations led by women to less than 5% of congregations with 5,000-plus members.
The denomination's push for more open itinerancy has resulted in greater increases in women (particularly white women) as pastoral leaders than for racial/ethnic persons. In 2008 women comprised 29% of the clergy serving U.S. United Methodist congregations, while only 13% of pastors were racial/ethnic.
Most of the findings confirm what most people tend to believe in the clergy system:
race and gender make a difference in the United Methodist clergy appointment system.
The executive summary and full report of the study is online in each of the organizations' websites: gcsrw.org, gcorr.org, and gcfa.org/nacec.
Most of the findings confirm what most people tend to believe in the clergy system: race and gender make a difference in the United Methodist clergy appointment system.
Even now in 2012, too many United Methodist congregations reject the appointment of a pastor who is a woman or who is from a racial group other than their own. And bishops and cabinets too often affirm such biases, instead of challenging parishes to embrace new ways and become more open to such requests. Also, often neither congregations nor clergy are provided sufficient support, training and encouragement to make such appointments a success.
"Having a church ready for a woman pastor or a pastor that may be of a different ethnicity than the congregation should not be the work of the pastor going into the appointment. It should have been the work that is on-going in the church already," according to Elaine Moy, GCSRW assistant general secretary who oversees research and monitoring.
Most pastors in cross-cultural appointments are people of color going to a white church. There are fewer white pastors trained to serve and be assigned to racial/ethnic congregations. Also, as the United States— and intercultural partnerships, friendships and families—continue to grow, new church members will seek congregations that model appreciation for and comfort with a multiracial, multicultural environment.
If we want to grow our membership, churches need to be open to welcoming and accepting all those who come through the door. The U.S. church is more than 90% white, while the U.S. population is only 63.4% white. The demographics are quickly changing. As of July 1, 2011 the U.S. Census Bureau reports that the number of new births is 50.4% non-white births.
As I am a young white woman, I think this report should be read by everyone in The United Methodist Church. It is an especially important read for racial/ethnic clergy, young clergy and those currently studying to enter the ministry. And I hope district superintendents, bishops and cabinet members and staff-parish relations committees read this study to see how their decision making processes when making appointments affects the entire denomination.
Having just returned from working with GCSRW at the 2012 General Conference 2012, where I heard about our denominational struggles to nurture vital leadership and vital congregations, I feel it is more important than ever to look at statistical information about where we have been.
Much has been accomplished in our denominational history in elevating female and racial/ethnic pastoral leadership. Yet this report reminds us that there is still much work to be accomplished to demonstrate an appropriate representation of clergy serving congregations.
A Ph.D. student at Garrett Evangelical Theological Seminary, Julie Kathleen Schubring was recently an intern for GCSRW. She is also a commissioned Bishop Handy Young Adult Missionary.