text:
Nick Cannon's Wild 'N Out Returned For Season 16 After His Firing And Rehiring, But It Left Fans Disappointed
Warning! The following contains spoilers from the Wild 'N Out Season 16 premiere episodes. Read at your own risk!
With its host and creator having been fired by ViacomCBS for hateful and anti-Semitic comments on his podcast, and then rehired in early 2021, Nick Cannon Presents: Wild 'N Out returned to VH1 with Season 16's premiere. Like many shows on television in the past year and change, the improv comedy series made some format alterations, both to spice things up and to probably accommodate some restrictions that popped up due to the ongoing pandemic. The end result was Nick Cannon's series looking and feeling quite different during its premiere, and not all fans were impressed with the changes.
Viewers made social media noise early on and often during the two-episode premiere, getting vocal on Twitter about all the things they didn't like about Wild 'N Out Season 16 so far. Seems like an impulsively bizarre way to celebrate the show's return following the pandemic-delayed back half of Season 15. But unpredictability is key for improv, I guess.
In any case, the first thing fans noticed right off the bat was that three key cast members weren't present in the Wild 'N Out premiere, namely D.C. Young Fly, Karlous Miller, and Chico Bean, which left some viewers floored in the wrong ways.
WHERE IS DC, KARLOS, AND CHICO!!! #WildNOut pic.twitter.com/BbhJQ5CH3Z— Hassani Perkins (@Humbled_Sultan) August 11, 2021
Casting issues weren't the only elements that Wild 'N Out fans were upset about. The Season 16 premiere started off with a new game called "Baby Daddy, Baby Mama," in which the teams told jokes about…well…baby mamas. The consensus from fans was that the game went on far too long, and when it returned again in the second episode, many made it known it wasn't that entertaining the first time around.
Wild 'N Out is a show that prides itself on bringing in some of the biggest stars in hip hop, and that trend continued in Season 16's early episodes. Unfortunately for fans hoping to see everybody clowning around on the set together, guests like Fat Joe and Latto joined the action virtually and were relegated to a big screen off to the side. Wild 'N Out did try and hype things up a bit more with hologram musical performances by the guests, which was interesting, but not everyone was convinced it was as hype as the cast made it seem.
TRY RETOUCH PRO PANEL 2.0
IG AD MB2
PEEL-Effect-CursiveQ
(NBC) – Denzel Washington was prohibited from making new films. Beloved actor, director, and producer, Denzel Washington are under the spotlight for releasing his new CBD line on Live...
Photos by BS 2 photography https://bs2photography.com
JAY-Z was inducted into the Rock and Roll Hall of Fame in October By Ally MauchNovember 22, 2021 10:54 Blue Ivy Carter helped induct dad JAY-Z into the Rock and...
Malkia BrandsNovember 24, 2021


My husband and I honeymooned in New Orleans, and we returned recently with both of our college-age kids. To me, funky New Orleans doesn't feel quite like an American city – and I love it. France founded New Orleans in 1718, Spain took it over for 40 years, and it didn't become part of the U.S. until the Louisiana Purchase. If you enjoy great food, architecture, music, museums, all in a walkable city, check out New Orleans.
New Orleans, Louisiana has a rich mix of European and African cultures that makes it feel almost like visiting another country. We traveled from Philadelphia with our kids to enjoy New Orleans architecture, food, live music, history – and the pleasure of soaking in the funky vibe.
The French Quarter is the original city founded by the French and rebuilt by the Spanish after a fire. It's fun to walk in this compact neighborhood. The French Quarter still has many 18th and 19th century buildings, with beautiful wrought iron and cast iron galleries.
To get a sense of the fascinating history of New Orleans, we took a 2-hour walking tour with Friends of the Cabildo. We learned why each street sign in the French Quarter is in 3 languages: French, Spanish, and English. The streets are named for saints or for the illegitimate children of French kings. We learned about the Baroness Pontalba, builder of two iconic French Quarter apartment buildings, and about the mixed race New Orleans resident who escaped her fate as a mistress to a French planter, became a nun, and now may become a saint. Our knowledgeable guide, Don Nolan, is a lifelong resident.
For a different slice of fascinating French Quarter history, we took a Voodoo Cemetery walking tour (Historic New Orleans Tours). We visited Congo Square, where enslaved people were allowed Sunday gatherings. We learned about the African roots of the voodoo religion, charismatic voodoo leader Marie Laveau, and her multi-racial following.
New Orleans was the starting point of jazz, our homegrown American music. Dixieland, blues, and rock bands play in bars along Frenchman Street and raucous, alcohol-fueled Bourbon Street. My family didn't go to music clubs but we enjoyed the constant live street musicians. We heard brass bands, singers, electric violinists, and percussionists using everything from empty plastic containers to hammered tin to drum out rhythms on the street. Street musicians compete for pedestrian attention with other street performers – who impersonate statues, write a poem on demand, or tap dance in sneakers stapled with tin can tops.
Don't miss a cemetery tour. New Orleans adapted the Mediterranean tradition of conserving land by using above ground burial. One tomb is for dozens of people. We lucked out with Lafayette Cemetery guide Carla Boullion ([email protected] or just show up and ask for Carla). She showed us the tomb of Ferguson, one party in the infamous Supreme Court decision that established the "separate but equal" idea to justify inferior schools and treatment of African-Americans. In St. Louis Cemetery, near the French Quarter, you'll need a guide to see the tomb of Homer Plessy, the partly-African man who challenged the color barrier.
Are your kids old enough to enjoy walking and gawking at 19th century mansions? If so, head to the Garden District, a residential neighborhood that also has good restaurants. The Victorian and Greek Revival mansions of the Garden District were built by wealthy Americans who settled near New Orleans a century after the French, Spanish, and Creoles developed the French Quarter. Some are now house museums. Most are still private houses. My son enjoyed seeing where quarterbacks Peyton & Eli Manning grew up at 1420 First Street. Vampire novelist Anne Rice lived in 1239 First Street. The Garden District also has shotgun houses, houses one room wide and about three rooms deep – like a shotgun could fire through it. Some are painted bright Caribbean colors and renovated with Victorian gingerbread woodwork.
We broke up our self-guided, 2 hour walk by stopping at the bookstore at Prytania Street and Washington Avenue. We wrapped up with a late lunch reservation at the excellent Atchafalaya Restaurant (900 Louisiana Avenue). To get to the Garden District from the French Quarter, take the St. Charles streetcar and enjoy the streetscape along the way.
New Orleans is a resilient city. Hurricane Katrina flooded 80% of the city in 2005. This brilliant exhibit on how New Orleans survived Katrina is emotionally difficult. It uses voices of survivors, photos and video of what they endured, and artifacts like Fats Domino's wrecked piano to help convey the extent of the damage. Most difficult was realizing much of the human suffering was avoidable. The exhibit is in the Presbytere building of the Louisiana State Museum, on Jackson Square.
A highlight of every day in New Orleans is eating. This city loves food, from its muffaletta sandwiches introduced by Italian immigrants, to po boy sandwiches, to fresh hot donuts (beignets – skip the line at Café du Monde), to restaurants where food is an art form. Coming soon on Traveling Mom: suggestions of restaurants in New Orleans. To whet your appetite, here are suggestions of where to eat in Paris and where to eat closer to home, in Philadelphia.
Plantations were the economic engines of New Orleans until the Civil War. The Whitney Plantation museum, about 45 minutes outside New Orleans, is unique because it focuses on the lives of the enslaved people who produced the sugar cane. For more on the brilliant and powerful Whitney Plantation exhibit, click here.
Have you ever visited or hope to visit New Orleans? Tell us about it in the comments.
New Orleans, Louisiana has great food, architecture, music, museums, and a funky vibe that almost doesn't feel like an American city.


Regards, Fiona Thanks for your help Noel but it appears you are the only person who is actually trying to help me with this problem. I no longer seem to have any of the Microsoft Office suite of applications on my laptop and I cannot connect to the internet. Please help me in solving this issue. Click Next and wait for qindows process to complete. UpdateStar has been tested to meet all of the technical requirements to be compatible with Windows 10, 8. Please note that I have had my laptop for approximately 18 months, ekalappai tamil typing software it came pre-installed with a 'Genuine' copy of the Vista Home Windows vista tm build 6001 product key Operating System, I have had no windlws with the operating system prior to this occurance.
I bought a copy of Office 2007 Home and Student Edition today at a local Staples. Thanks for your help Noel but it appears you are the only person who is actually trying to help me with this problem. I have tried to look in other threads for help but have been unable to solve this. In windows vista tm build 6001 product key window, click the option "Access computer with reduced functionality". Please note that I gandhi vadh kyon in hindi pdf had my laptop for approximately 18 months, and it came pre-installed with a 'Genuine' copy of the Vista Home Premium Operating System, I have had no issues with the operating system iey to this occurance. NOTE 1: The key to this process is that you need to talk to a Live Activation Rep!
I was trying to connect to the internet, the screen went black and when it came back on everything on the screen was enlarged. Please note that Timeliner 5.0 have had my laptop for approximately 18 camera zoom fx 3.5.2 apk, and it came pre-installed windows vista tm build 6001 product key a 'Genuine' copy of the Vista Home Premium Operating System, I have had no issues with the operating system prior to this occurance. I have found an article in the Windows database about an activation key exploit. Next, click on the Start button under Service Status. I cannot windows vista tm build 6001 product key a product key in as one of the options suggests as it has rubbed off the bottom of my computer. Click on the Continue button, which will produce the report. Microsoft supplies two main types of operating system software, retail and OEM.


Online portal that allows both you and your customers to easily pay bills, manage payment methods, and setup automatic payment rules.
ConnectBooster is a payment portal that allows service-based businesses to collect recurring revenue on their invoices and offers online bill pay options with a host of other financial enhancing tools.
ConnectBooster and Xero customers have access to their account balance, number of open invoices, invoice history, number of past due invoices and balance, and payment history. Invoices created exclusively in Xero are also viewable and payable within ConnectBooster allowing for complete flexibility. Customers can also set up autopay to make sure they are paid on time, every time.
Want ConnectBooster but don't have Xero yet?


Sondes Farm was originally constructed in 1860 as a model farm. It was converted in 1987 to 36 sheltered flats and cottages. With no lounge or communal facilities, it appeals to those who like independent living and had attracted many ex professionals over the years. With it's courtyard garden layout it is more like living in a small village community.
Facilities include:- resident management staff and Careline alarm service.
There is also guest facilities and communal gardens.
The development is situated at the foot of the southern slopes of the North Downs in an area of Outstanding Natural Beauty. The wide high street has an excellent and varied range of shops including many national stores. West Street is widely known for its large number of antique shops.
Dorking is well situated for road and rail communications. It is about 5 miles due south of Leatherhead and about 6 miles from J9 of the M25 giving easy access to the rest of the motorway network. Reigate to the east is about 6 miles and Guildford to the west about 12 miles. Gatwick Airport is about eleven miles and fast trains to London Victoria or Waterloo take about fifty minutes.
Distances: bus stop 0.33 mile(s); shop 0.75 mile(s); post office 1 mile(s); town centre 0.75 mile(s); GP 1 mile(s); social centre 1 mile(s).
A beautifully presented one bedroom, 1st floor retirement living apartment.
Ideal for lock up and leave and is suitable for the independent retired.
The apartment is dual aspect, it has gas central heating and an emergency call system.
Comes with fitted carpets and light fitting, curtains & blinds are included and the furniture can also be purchased if required.
The shower room has been recently re-furbished and finished to a high standard.
There is also the benefit of an allocated parking space and there is plenty of visitor parking spaces too.
This property must be viewed to appreciate the quality it has to offer.
A welcoming hallway, with heating controls and security system.
Doors leading to the lounge, bedroom and shower room.
A lovely presented dual aspect lounge with a feature fireplace and a South West facing window allowing plenty of natural daylight. Also has views of the gardens.
There is a radiator under the window and benefits with a large walk in storage cupboard housing airing shelves and hanging rails.
Fully fitted kitchen with a range of wall and base units.
There is a fitted hob with an oven underneath and extractor fan above.
Free standing fridge-freezer and washer/dryer.
Double glazed window to rear gardens.
A good size double bedroom with a double glazed window and has a light and bright feel.
Comes complete with fully fitted furniture comprising of a two door and a one door wardrobe, four fitted cupboards above the bed and a three draw chest of drawers.
Radiator under the window and there is also a loft hatch.
Recently re-furbished shower room with a large shower cubicle. Double glazed window, vinyl flooring, grab rail and a heated towel rail. Low level WC sink and vanity unit. Fully tiled walls.
The apartment comes with an allocated parking space and visitor parking.


text:
package mungbean.protocol.command;

import java.util.LinkedHashMap;
import java.util.Map;

import mungbean.DBCollection;
import mungbean.protocol.message.CommandResponse;
import mungbean.query.QueryBuilder;

public class Count extends Aggregation<Long> {

    @Override
    public Long parseResponse(CommandResponse values) {
        return values.getLong("n");
    }

    @Override
    public Map<String, Object> requestMap(DBCollection<?> collection, QueryBuilder query) {
        Map<String, Object> map = new LinkedHashMap<String, Object>();
        map.put("count", collection.collectionName());
        map.put("query", query.build());
        return map;
    }
}

redpajama_set_name: RedPajamaGithub


An exclusive suburban area with many large three and four bedroom houses for rent on large properties, as well as small one bedroon apartments and condos. North Bergen County apartments for rent are more difficult to find due to the suburban nature of the area. Away from the hustle and bustle of the rest of Bergen County it stays convenient with easy access to the Garden State Parkway, the Palisades Parkway and Route 9W. Long winding back roads keep the area quiet and contained. Nestled among the many country clubs is a county golf course in the town of Rockleigh. The area hosts two train stations for the Pascack Valley Line.


Clean and simple design that caters to maximum storage is what makes the KubiKub a superb choice for every home. Made from acacia wood and available in a natural finish or painted white, these units will make a long-lasting and stylish addition to your bedroom.
The KubiKub comes in various sizing combinations so you can choose the best option for your storage needs. The clever design makes it a versatile choice, perfect for displaying precious ornaments and frames or simply keeping your little one's toys and books in one neat space.


NA 120 Results: Is the Sharif fortress crumbling?
Leave a Comment on NA 120 Results: Is the Sharif fortress crumbling?
With the conclusion of much awaited by-elections in ousted PM Sharif's NA-120 constituency, Kulsoom Nawaz, the ex PM's wife, stood victorious with a margin of over 14000 votes. As per latest results, Mrs. Nawaz got 61,745 votes, whereas Dr. Yasmeen Rashid, her competitor from the PTI, got 47099 votes.
Even though the ruling party rightly claimed victory, in hindsight, the PML N lost more than 30,000 (91,666 in 2013) votes whereas PTI lost a marginal 5000 (52,321 in 2013). Another sign concern for the ruling party was only 20% of the total registered voters voted for Kulsoom Nawaz amid a very low voter turnout. In total, the PML N lost 8% of votes, whereas the PTI gained 8% votes.
The election campaign also saw a number of allegations from the opposition PTI against alleged voter fraud and pre-poll rigging, raising doubts over the role of Election Commission of Pakistan (ECP). On the other hand, the ruling party, initially witnessing a temporary lead by Dr Rashid, started a campaign of its own on the social media accusing 'clandestine' agencies of trying to manipulate election results and arresting its party leaders.
Victory for PTI in #NA120,- margin of votes increased, pathetic turnout for#PPP voters force PPP electables towards PTI in coming election.
Previous Entry SC rejects Sharifs' review petition, Twitter reacts!
Next Entry Has Pakistan 'trumped' new US strategy for Afghanistan?


text:
Allen's Antique Lighting
Architectural Historian
Ariel Grace Design
Art First Colors for Architecture
Aurora Mills Architectural Salvage
Bolling and Company
Cascadia Art Conservation Center, LLC
Commissioned Decorative Painting
David Schlicker – Stained Glass Studio
Erickson's Antique Stoves
Full Circa
Gold Leaf Restoration
Gold Leaf Studio
GKA Lighting
Greenline Fine Woodworking
Herman Silver Restoration & Conservation
Historian and Educator
Joanne Mehl Paintings
Lavender's Green Historic Clothing
Lee's Better Letters
Mimi Near Mosiacs
ModVic
Monitor Millwork
MPF Conservation
Oculus Fine Carpentry
Old Portland Hardware & Architectural
Overbay Houseworks, Inc.
Painting Conservation Studio
Piano Finders
Piece of the Wind
Portland Art Framing
Regency Plaster
Restoring History, LLC
Roman Design, LLC
Scott Sidwell Designs
Sorin Ghiea Tile and Stone
Sullivan's Wallcovering
Theodore Ellison Designs
TICE Industries
Support PAG
Contact PAG
Preservation Artisans Guild Member Feature: Jack Bookwalter | Architectural Historian & Preservation Planner
In Architecture, Design, Featured PAG Members, History, Mid-Century, Old School, Oregon, Portland
We recently caught up with PAG's resident Architectural Historian & Preservation Planner, Jack Bookwalter to learn more about his personal history and his lifelong fascination with old buildings. Jack graciously shared his story with us, as well as some very interesting insight into one of Portland, Oregon's most prevalent historic building styles! Jack Bookwalter has been contributing to the PAG community as an exceptional resource in the fields of architectural history and urban planning.
Though Jack says he is 'mostly retired now' he is always generous with his time and expertise and has made himself available to PAG members to help with identification or evaluation of any historic resource in the built environment. Jack's number one goal is to ensure that accurate historical information is utilized correctly and presented as such to the world-at-large. On the unwavering dedication to sharing his knowledge, Jack says,
"Distributing historic knowledge and information is my 'hobby' as it were."
Jack Bookwalter in one of his favorite destinations for Mid-Century Modernism, Palm Springs.
Jack regularly gives lectures and develops programs on historic architectural styles for the Architectural Heritage Center and Restore Oregon. He also serves on the Mid Century Modern Committee of Restore Oregon which puts on a program and house tour each May celebrating mid-century modern design. (Jack was excited to share that the 2018 home tour, to be held on May 12th, will feature the works of mid-century architect John Storrs.)
Also an avid city-walker. Jack Bookwalter frequently leads walking tours of Portland's historic neighborhoods for the Architectural Heritage Center, Restore Oregon, and for the City of Portland's 10-Toe Express Walks Program. Jack is always searching out and devising new walks of an informative historical nature and in true Jack-fashion extends an open invitation to whoever wishes to join him:
"Anyone who feels like taking a walk with me sometime, just give a jingle! Chances are I will be walking that day — and the day after that… and the day after that… and…"
Jack told us that he has been interested in old buildings for as long as he can remember. Growing up in Chicago with its richness of architectural history provided him many opportunities to learn about the designers and builders of that great city.
After high school, Jack majored in Architecture at the University of Illinois. In his 5th year of instruction, he made the slight shift to Urban Planning, receiving his Bachelor Degree in Urban Planning in 1969 after which e took his first job as a Planner for the City of Santa Rosa, California where he was hired to help design and rebuild a portion of their historic downtown that had been destroyed by a substantial earthquake earlier that year. Later, in 1988 Jack completed his Masters in History at Sonoma State University and was then appointed Preservation Officer of the County of Sonoma where he served as staff liaison to the County Landmarks Commission. Jack tells us that he advised many home and business owners on the best ways to secure approval of their projects before the very historically-particular Landmarks Commission. He also administered a grants program that funneled a portion of the county's tax money toward historic preservation projects; a position he held until he relocated to Portland, Oregon in 1998.
Once settled in Portland, Jack actively restored an 1886 5-unit Victorian apartment building in NW Portland. that had been heavily "remuddled" (Jack's exact wording to describe what had been done to the place in the 1970s-1980s). Jack lived in each unit for about 1-2 years, gradually restoring the entire building to an appropriate late-19th Century appearance. He then moved to a 1920s English Cottage/Craftsman bungalow in NE Portland where he still resides today, having restored much of that dwelling as well.
As an architectural historian, one of Jack Bookwalter's favorite building styles also happens to be one of the more commonly dispersed in Portland. Jack, in true form, educates us on the topic and answers a few lingering questions. In Jack's own words:
What is Terracotta?
"Terracotta (literally 'baked earth') is a ceramic building material that has been around since classical Roman, Greek, and Egyptian times. Terracotta clay is baked in molds in kilns, often for as long as two days. Although it has been used throughout history as a structural building material, we know it mostly in its glazed exterior-cladding form that is sometimes referred to as "architectural terracotta".
Because terracotta was created in molds, the relief designs on the tile's surface were limited only by the imagination of the mold-maker. Classical reliefs in the form of garlands, urns, and column capitals were very popular, as were "dentils" and the late Victorian "egg-and-dart" pattern. Other designs harkened to a fanciful King Arthur interpretation of Medieval history. In the 1920s-1930s period, Art Deco terracotta was frequently applied to buildings. But in any time period, many designs contained no historical precedent. They just came from the creative mind of the mold-maker, often working in tandem with the architect.
Terracotta became popular in this country with the development of the steel-framed skyscraper. 20-stories of heavy stone and brick would have been too heavy, cumbersome, and expensive to stack story upon story. But terracotta as a lightweight stone substitute could be mass produced inexpensively and infused with designs resembling intricately carved stone.
Terracotta cladding on buildings also became popular after the 1893 Chicago World's Fair great "White City". White-glazed architectural terracotta could be kept clean and always white and looking new. Many streetscapes in downtown Portland approach the image of the World's Fair White City. Standing at the corner of 5th and Morrison, looking eastward past the former Macy's/Meier and Frank Building, presents a streetscape of uninterrupted white terra cotta buildings that would have made Daniel Burnham (architect of the Chicago White City) feel proud.
Why does Portland, Oregon have one of the largest concentrations of terracotta buildings in the country?
Two reasons: 1) Portland went through a building boom following the Lewis and Clark Exhibition of 1905. The period 1905 to the First World War was also the peak of terracotta's popularity in the country.
2) Terracotta fell out of fashion in the nation in the 1920s. But not in Portland. The City's most prominent architect of that era, A.E. Doyle, remained a staunch proponent of decorative terracotta. His many office buildings in downtown Portland continued to use terracotta as a design element, often in creative and innovative ways.
The terracotta buildings in downtown Portland are truly a treasure. Many of the most decorative elements of terracotta tiles are found in friezes at the very top, the cornice of buildings. In our busy world, we seldom take the time and effort to view anything outside our hurried, straight-line paths. But when you are in downtown Portland some time, look upward and you will discover a veritable art gallery in the sky. Once you've seen it you will always be looking upward, always discovering bea uty in new details that are constantly coming into view as you traverse the sidewalks of our amazing and beautiful city.
As an aside: At one of the terra cotta tours I led for the Architectural Heritage Center, a man approached me with an old photograph of his grandfather proudly standing beside an enormous Corinthian column he had produced at the Gladding Mc Bean terra cotta factory in Lincoln California. The photo was labeled "Portland Oregon". This man had read about the tour online and decided to make the trip up from Sacramento just to see if he could find that column. Sure enough, we found it on the old United States Bank building on 6th Avenue. (photographs #5664, and #5669). Occasionally, being an architectural historian produces unexpected, gratifying rewards. This was one of them."
If you'd like to take Jack up on his invitation to walk Portland and learn more about our local architectural history, or if you would like to reach out to him for consulting, you can contact him via email.
Preservation Artisans Guild Member Feature: Ariel Grace Design
Preservation Artisans Guild Member Feature: Bruce Rosenbaum | ModVic
The Architectural Heritage Center Helps People Discover Their "Inner Preservationist"
Portland Houses in the Victorian Age
VIDEO: Gold Leaf Restoration Studio Tour
CAD CAM Design
DeMuro Awards
Featured PAG Members
PAG Events
Period Clothing
Victorian Homes
Vintage Appliances
Vintage Houses
"The Preservation Artisans Guild Mission is to preserve our material culture through a community of artisans. We encourage best practices in traditional building crafts, interior design, architectural design, and the decorative and fine arts."
Contribute to PAG
Our Members | Our Specialties | Our Blog | Our Resources | Sponsored Content | About PAG | Contact PAG
Our Legal Disclaimer
Preservation Artisans Guild ("PAG") is a non-profit organization that encourages best practices in the preservation arts. The information contained on the PAG website, blog and social media sites is for information purposes only and PAG, its board members, and affiliates (collectively the "Organization") make no claims, promises, warranties or guarantees about the accuracy, completeness, or adequacy of the information contained therein or linked thereto. The Organization makes no representations, warranties or guaranties on behalf of its members and expressly disclaims all liability to any person who, upon reliance on the information provided on the PAG website, blog or social media sites, takes or fails to take any particular action. Your use of the PAG website, blog and social media sites indicates your agreement with, and consent to, these terms.
© 2018 Preservation Artisans Guild.

redpajama_set_name: RedPajamaCommonCrawl


Sure, a controversial tweet will get more engagement than something dull, but do you really want your brand to be associated with a topic that upsets a lot of people in your industry? Establish what topics are off-limits for your Twitter profile. While everyone wants to be able to give their two cents on newsworthy topics, it's best to stay away from something that can cause a huge uproar and embarrassment for your company.
Some brands, such as the @rbjacobs personality from the FNB Twitter account, know how to craft a well-rounded online persona. It's great to add personality to your Twitter account (after all, you don't want to be seen as a boring PR profile), but this doesn't mean you can just post anything without have a clear goal. Don't let employees update pictures of their lunch or the online games they are playing – for example. This shows that your Twitter personality lacks focus and that you're just tweeting anything that comes to mind.
One of the reasons why you're on Twitter is so that your customers and potential customers can engage with you online. It's easy for a customer to complain on social media – and it's important that you answer the complaint. Try to take the issue to e-mail or a telephone call as soon as possible (this avoids unnecessarily long, negative conversations around your brand on Twitter).
Need help with your Twitter strategy? Contact WSI OMS today.


bleached is extremely effective. Lightening solution is used to the teeth and it remains there for about an hour. Do not fret about taste or burns due to the fact that they take preventative measures to avoid this from taking place to you. Results can generally be seen after simply one session.Keep your mouth healthy and brush and floss at least 2 times every day.
Having a bright smile is extremely essential in essentially every element of your life. If you wish to have whiter teeth, there are various ways to remove the discolorations and give your teeth new radiance. You know how appealing an excellent smile is. All it takes is a couple of basic actions to highlight the white in your smile.If you over-usage teeth lightening items, specifically exceptionally effective ones, you could be doing severe harm to your teeth. You must always seek advice from with your dental practitioner prior to going through such a treatment and ensure it's safe for you to do so. If your dentist says it's too quickly or you've done it a lot of times – listen to him!Rinse your mouth out with 3% hydrogen peroxide solution every evening after you brush your teeth. 3% hydrogen peroxide services is a mild bleaching agent so it can assist to keep your teeth white, it is also very inexpensive; you need to be able to choose up a bottle in your regional drugstore for less than $2.
remain on your teeth for 2 hours have been understood to cause gum level of sensitivity. If this happens to you, try the strips that need to be on for thirty minutes. While it might take longer for the teeth bleaching to occur, the sensitivity of the gums will be a lot less severe.Practice preventative upkeep on your teeth by utilizing a gum massager. You wish to target the location under the gum flap where the plaque starts to build up. Plaque is a significant factor to blemished teeth. When the plaque begins to develop on your teeth, spots can stick to the surface area easier.Chewing gum can in fact whiten teeth.
Do you wish that you had a whiter smile? Do you hide behind your lips to prevent needing to show gray or yellow teeth? If you have always wished to enjoy your smile more, then keep reading this article for ideas on how you can get the whiter smile you have actually constantly wanted.Eating a diet plan with a lot of entire and raw foods is terrific for your teeth. Veggies are terrific for assisting clean your teeth. They also do not include harsh processed active ingredients that might stick to your teeth and cause undesirable dental caries and discolorations.Make visits with your local dental professional regularly to clean your teeth.
to you. Some dental experts might recommend a procedure that they offer in their office. Some might refer you to a particular product that you can discover at your local drugstore. Some might merely recommend that you brush your teeth more often.For a reliable method to get your teeth whiter at home, attempt baking soda and water.


text:
Hal Blaine, född 5 februari 1929 i Holyoke, Massachusetts, död 11 mars 2019 i Palm Desert, Kalifornien, var en amerikansk trumslagare och percussionist. Blaine har spelat trummor på hundratals inspelningar av rock och popmusik och han hörs på flera kända hitlåtar från framförallt 1960-talet och 1970-talet. Han var en av medlemmarna i Phil Spectors husband "The Wrecking Crew". Hans trumspel kan bland annat höras på inspelningar av The Beach Boys, Jan & Dean, The Mamas and the Papas, Elvis Presley, The Crystals, The Ronettes, Frank Sinatra, Nancy Sinatra, Simon & Garfunkel, Sonny & Cher, Glen Campbell, Neil Diamond, The Association och Tommy Roe.

Blaine har valts in i Rock and Roll Hall of Fame i kategorin "sidemen". Han tilldelades även Grammy Lifetime Achievement Award 2018.

Källor
Hal Blaine på Allmusic
Fotnoter:

Amerikanska rocktrummisar
Födda 1929
Avlidna 2019
Män
Amerikanska musiker under 1900-talet
Musiker från Massachusetts
Personer från Hampden County

redpajama_set_name: RedPajamaWikipedia


Following the rumors on more and more people claiming to be Vampires, I decided to start a magazine "Vampire's Health", or at least design a cover page in case anyone ever decides to make a magazine for that particular "type" of people.
So, since I took the time and effort to make this cool cover page, thought I might as well show you how it's done :) so if you are into or plan to become a professional graphic designer this will be funny and cool way for you to learn how to make a cover for the magazine.
Thanks! Hehe, It was fun!


text:
\section{Introduction}

One of the best known results in random matrix theory is the Wigner semi-circle law (see e.g. \cite{Me91, Fo10}). In the case of the Gaussian orthogonal ensemble (${\rm GOE}_N$), which consists of $N\times N$ real symmetric matrices $H=(X+X^T)/2$ with the elements of $X$ independent standard Gaussians, this law corresponds to the limit theorem for the eigenvalue density
\begin{equation}\label{1.1}
\lim_{N\rightarrow \infty}\sqrt{\frac{2}{N}}\rho_{(1)}^{{\rm GOE}_N}(\sqrt{2N}X)=\left\{
\begin{array}{ll}
\frac{2}{\pi}(1-X^2)^{1/2}, & |X|<1\\
0, & |X|>1.
\end{array}
\right.
\end{equation}

Lesser known is the asymptotic form of $\rho_{(1)}^{{\rm GOE}_N}(\sqrt{2N}X)$ in the region $|X|>1$, where its scaled limit vanishes. Relatively recently \cite{Fy04} (see also \cite[Section 1.5]{Fo10}) this problem arose in the study of the expected number $\mathcal{N}$ of critical points for the random energy
$$
{\mathcal H} =\frac{\mu}{2}\sum_{j=1}^{N}x_j^2+V(x_1,\ldots,x_N)
$$
where $\mu>0$ and $V$ is Gaussian distributed with zero mean and covariance
\begin{equation}\label{2}
\langle V(\mathbf{x}_1)V(\mathbf{x}_2)\rangle =Nf\Big(\frac{1}{2N} (\mathbf{x}_1-\mathbf{x}_2)^2 \Big).
\end{equation}
The function $f$ in (\ref{2}) is arbitrary apart from the requirement that $J:=\sqrt{f''(0)}$ is well defined, and in fact $\mathcal{N}$ only depends on $f$ through $J$. Thus it was shown that $\mathcal{N}$ is equal to the product of terms smooth in $\mu/J$ times
$$
\int_{-\infty}^\infty e^{-N(t-(\mu/J)^2)/4}\rho_{(1)}^{{\rm GOE}_{N+1}}(\sqrt{N/2}((\mu/J)+t)) \,dt.
$$
This integral exhibits two distinct behaviours depending on whether $\mu/J<1$ or $\mu/J>1$. While knowledge of (\ref{1.1}) is sufficient to determine the former, to analyze the latter requires the $N\rightarrow \infty$ asymptotics in the region $s>1$. The density is then exponentially small, with its explicit form
derived in  \cite{Fy04} as
\begin{equation}\label{2.1}
\rho_{(1)}^{{\rm GOE}_{N+1}}(\sqrt{2N}s)\sim \exp\Big(-N(s\sqrt{s^2-1}+\log(s-\sqrt{s^2-1}))+{\rm O}(1) \Big).
\end{equation}

The result (\ref{2.1}) immediately raises two questions: that of deducing the explicit form of the ${\rm O}(1)$ term, and that of deriving the analogous asymptotics for other random matrix ensembles.
It is the aim of the present paper to answer these questions. Motivation for pursuing this line of research comes from the relevance of (\ref{2.1}) to the right tail large deviation form of the probability density function (PDF) $p_N^{{\rm GOE}}(s)$ for the largest eigenvalue in ${\rm GOE}_{N}$.

Thus, according to \cite[eq. (14.136)]{Fo10} we have that for $s>1$
\begin{equation}\label{3.2}
p_N^{{\rm GOE}}(\sqrt{2N}s)\mathop{\sim}_{N\rightarrow \infty}\rho_{(1)}^{{\rm GOE}}(\sqrt{2N}s).
\end{equation}
To derive (\ref{3.2}) we first note that
\begin{equation}\label{3.0}
p_{N}^{{\rm GOE}}(s)=-\frac{d}{ds}E_N^{{\rm GOE}}(0;(s,\infty))
\end{equation}
where $E_N^{{\rm GOE}}(0;(s,\infty))$ is the gap probability of no eigenvalues in the interval $(s,\infty)$ of the ${\rm GOE}$. But \cite[eq. (8.73)]{Fo10} the gap probability can be expressed as a series in terms of the $k$-point correlation functions $k=1,2,\dots$  according to
\begin{align}
E_N^{{\rm GOE}}(0;(\sqrt{2N}s,\infty))=&1-\sqrt{2N}\int_{s}^\infty \rho_{(1)}^{{\rm GOE}}(\sqrt{2N}t)dt \notag\\
&+\frac{(\sqrt{2N})^2}{2!}\int_{s}^\infty dt_1 \int_{s}^\infty dt_2  \, \rho_{(2)}^{{\rm GOE}}(\sqrt{2N}t_1,\sqrt{2N}t_2)+\ldots \label{3.1}
\end{align}
Assuming now that $s>1$ and noting that by asymptotic independence we must have, for $t_1,t_2,\ldots, t_k$ distinct,
\begin{equation}\label{3.1e}
\rho_{(k)}^{{\rm GOE}}(\sqrt{2N}t_1,\ldots, \sqrt{2N}t_k)\sim\ \prod_{l=1}^k \rho_{(1)}^{{\rm GOE}}(\sqrt{2N}t_l),
\end{equation}
the asymptotic form (\ref{2.1}) tells us that successive terms in (\ref{3.1}) are exponentially smaller that previous terms. Consequently, after differentiating as required by (\ref{3.0}), (\ref{3.2}) follows. Substituting (\ref{2.1}) in (\ref{3.2}) gives the leading large $N$ form of $p_N^{{\rm GOE}}(\sqrt{2N}s)$ for $s>1$. The latter was first obtained in \cite{MV09} via a Coulomb gas analysis. As an application of our determination of the analogue of (\ref{2.1}), and its extension by the explicit determination of the ${\rm O}(1)$ term, for other random matrix ensembles we can use the analogue of (\ref{3.2}) to deduce a corresponding large deviations asymptotic form of the right tail of the distribution of the largest eigenvalue in the ensemble.

The ensembles to be considered are the Gaussian and Laguerre $\beta$-ensembles. They can be constructed out of certain tridiagonal and bidiagonal random matrices with independently distributed elements \cite{ES06}. These matrices in turn, for the special $\beta$ values $1,2$ and $4$, are Householder similarity reductions of the Gaussian matrices used to construct the classical Gaussian and Laguerre orthogonal, unitary and symplectic ensembles. For present purposes the $\beta$-ensembles can be defined by their eigenvalue PDF. Generally, let us denote by ${\rm ME}_{\beta,N}(w)$ the eigenvalue PDF proportional to
\begin{equation}\label{3.a}
\prod_{l=1}^N w(\lambda_l)\prod_{1\leq j<k\leq N}|\lambda_k-\lambda_j|^\beta.
\end{equation}
Then the Gaussian and Laguerre $\beta$-ensembles correspond to the eigenvalue PDFs
$$
{\rm ME}_{\beta,N}(e^{-\beta\lambda^2/2}) \text{ and } {\rm ME}_{\beta,N}(\lambda^{\beta a /2}e^{-\lambda}\chi_{\lambda>0})
$$
respectively, where $\chi_A=1$ for $A$ true and $\chi_A=0$ otherwise.

Our aim is to compute the leading two terms in the asymptotic expansion of the density for the Gaussian and Laguerre $\beta$-ensembles, in the large deviation regime outside the leading order support. This will be done by expressing the density in terms of a particular moment of the characteristic polynomial. The latter can be interpreted in terms of the characteristic function of a linear statistic, for which there is a known asymptotic formula. This then leads to the sought asymptotic expansion of the density.

In Section \ref{Section2} we give the details of the relation between the density and a moment of the corresponding characteristic polynomial, and we revise how this relates to the characteristic function of a linear statistic. The large $N$ form of a large class of linear statistics for PDFs ${\rm ME}_{\beta, N}(w)$ is expected to exhibit a Gaussian form, with explicit integral expressions for the mean and variance. The latter are evaluated in Sections \ref{Section3} and \ref{Section4} for the Gaussian and Laguerre $\beta$-ensembles respectively, and the leading two terms in the asymptotic expansion of the corresponding densities outside the leading order support are given in those sections also. A discussion of consequences of these results with regards to the asymptotic form of the right tail of the distribution of the largest eigenvalue is given in Section \ref{Section5}, as is a possible experimental realization in the case $\beta = 2$.

Although the Gaussian expression for the asymptotic form of the characteristic function is well founded, its rigorous proof in cases
corresponding to the moments of characteristic polynomials is known only for ensembles with two soft edge boundaries,
or a hard edge with parameter $a=0$
\cite{BG11}. This covers the Gaussian $\beta$-ensemble, but only the $a=0$ Laguerre $\beta$-ensemble.
On the other hand, it is known \cite{BF97a} that for $\beta$ even these moments can be expressed as $\beta$-dimensional integrals. In the Appendix we show that the rigorous large $N$ expansion of the latter in both the Gaussian and Laguerre cases agrees with our earlier working.

\section{The density as a moment of the characteristic polynomial}\label{Section2}
\setcounter{equation}{0}
\subsection{Exact expressions}

For the matrix ensemble ${\rm ME}_{\beta,N}(w)$ the eigenvalue density $\rho_{(1),n}(x)$ is given in terms of a multiple integral by
\begin{equation}\label{6.1}
\rho_{(1),n}(x)=\frac{N}{C_{\beta,N}[w]}w(x)\int_{-\infty}^\infty d \lambda_2  \, w(\lambda_2)\ldots \int_{-\infty}^\infty d\lambda_N
\, w(\lambda_N)\prod_{1\leq j<k\leq N}|\lambda_k-\lambda_j|^\beta,
\end{equation}
where
$$
C_{\beta,N}[w]=\int_{-\infty}^\infty d\lambda_1 \, w(\lambda_1)\ldots \int_{-\infty}^\infty d\lambda_N \, w(\lambda_N)\prod_{1\leq j<k\leq N}|\lambda_k-\lambda_j|^\beta.
$$
Defining for general $g$ the canonical average with respect to ${\rm ME}_{\beta,N}(w)$ by the multiple integral
\begin{align}
\langle g(\lambda_1,\ldots, \lambda_N) \rangle_{{\rm ME}_{\beta,N}(w)}:=&\frac{1}{C_{\beta,N}[w]}\int_{-\infty}^\infty \, d\lambda_1 w(\lambda_1)\ldots \int_{-\infty}^\infty d\lambda_N \, w(\lambda_N) \notag \\
&\times \prod_{1\leq j<k\leq N}|\lambda_k-\lambda_j|^\beta g(\lambda_1,\ldots, \lambda_N),\label{6.2}
\end{align}
we have that
\begin{equation}\label{6.3}
\Big\langle \prod_{l=1}^N |x-\lambda_l|^\mu\Big\rangle_{{\rm ME}_{\beta,N}(w)}
\end{equation}
corresponds to the $\mu$-th moment of the modulus of the characteristic polynomial of the matrix ensemble.

It is immediate from the definitions (\ref{6.1}) and (\ref{6.2}) that the eigenvalue density can be written in terms of a moment of the characteristic polynomial,
\begin{equation}\label{d2}
\rho_{(1),N+1}(x)=\frac{(N+1)C_{\beta,N}[w]}{C_{\beta,N+1}[w]}w(x)\Big\langle \prod_{l=1}^N|x-\lambda_l|^\beta \Big\rangle_{{\rm ME}_{\beta,N}(w)}.
\end{equation}
The corresponding inter-relation in the case of the real Ginibre matrices ($N\times N$ matrices with entries independent standard Gaussians) was noted by Edelman, Kostlan and Shub \cite{EKS94}, and applied for purposes of computing the density and expected number of real eigenvalues.

For the Gaussian and Laguerre $\beta$-ensembles we want to scale the eigenvalues so that for $N\rightarrow \infty$ the support of the density is a finite interval. For this purpose let $M$ be such that $M/N\rightarrow 1$. Then it is well known \cite{Fo93a} that for the Gaussian $\beta$-ensemble with $\lambda_l\mapsto \sqrt{2M}\lambda_l$, and the Laguerre $\beta$-ensemble with $\lambda_l\mapsto 4M\lambda_l$, the $N\rightarrow \infty$ support is the intervals $(-1,1)$ and $(0,1)$ respectively. In these scaled coordinates $|\lambda|>1$ will then correspond to an exponentially small density for large $N$.

Introducing these scalings, for the Gaussian $\beta$-ensemble we then have
\begin{equation}\label{d.3a}
\sqrt{2M}\rho_{(1),N+1}^{\rm G}(\sqrt{2M}x)=A^{\rm G}e^{-\beta Mx^2}\Big\langle \prod_{l=1}^N|x-\lambda_l|^\beta \Big\rangle_{{\rm ME}_{\beta,N}(e^{-\beta M \lambda^2})}
\end{equation}
where
$$
A^{\rm G}=(N+1)(2M)^{(N\beta+1)/2}\frac{C_{\beta,N}[e^{-\beta \lambda^2/2}]}{C_{\beta,N+1}[e^{-\beta \lambda^2/2}]},
$$
while for the Laguerre $\beta$-ensemble
\begin{equation}\label{d.3b}
4M\rho_{(1),N+1}^{\rm L}(4Mx)=A^{\rm L}x^{a\beta/2}e^{-2M\beta x}\Big\langle \prod_{l=1}^N|x-\lambda_l|^\beta \Big\rangle_{{\rm ME}_{\beta,N}(\lambda^{a\beta/2}e^{-2\beta M \lambda})}
\end{equation}
where
$$
A^{\rm L}=(N+1)(4M)^{N\beta+1+a\beta/2}\frac{C_{\beta,N}[\lambda^{a\beta/2}e^{-\beta \lambda/2}]}{C_{\beta,N+1}[\lambda^{a\beta/2}e^{-\beta \lambda/2}]}.
$$
The normalizations in (\ref{d.3a}), (\ref{d.3b}) are particular Selberg integrals (see \cite[Ch. 4]{Fo10}) and as such have evaluations in terms of products of gamma functions. This provides us with the explicit expressions
\begin{align}
A^{\rm G}&=\frac{(N+1)}{(2\pi)^{1/2}}(2M\beta)^{(N\beta+1)/2}\frac{\Gamma(1+\beta/2)}{\Gamma(1+(N+1)\beta/2)}, \label{9a}\\
A^{\rm L}&=(N+1)(2M\beta)^{N\beta+1+a \beta/2}\frac{\Gamma(1+\beta/2)}{\Gamma(1+(N+1)\beta/2)\Gamma(a\beta/2+1+N\beta/2)}. \label{9b}
\end{align}

For future purposes we note that in the case $M=N+1$ Stirling's formula applied to (\ref{9a}) and (\ref{9b}) shows
\begin{align}
A^{\rm G} &\sim \frac{N}{\pi}(N\beta)^{-\beta/2}2^{(N+1/2)\beta}e^{(N+1)\beta/2}\Gamma(1+\beta/2),  \label{9ax}\\
A^{\rm L} &\sim \frac{N}{\pi}(N\beta)^{-\beta/2}2^{2 N \beta + 1 + \beta/2 + a \beta}e^{(N+1)\beta }\Gamma(1+\beta/2).  \label{9ag}
\end{align}

\subsection{Asymptotic form of the averages}

Consider the linear statistic
\begin{equation}\label{V1}
V(x)= \sum_{l=1}^N\log |x-\lambda_l|,
\end{equation}
where $\lambda_l$ are chosen with PDF (\ref{3.1}). The distribution of this linear statistic is given by the canonical average
$$
P_V(t)=\Big\langle \delta(t-\sum_{l=1}^N\log|x-\lambda_l|) \Big\rangle_{{\rm ME}_{\beta,N}(w)}.
$$
Taking the Fourier transform of both sides gives the corresponding characteristic function
\begin{equation}\label{7.e}
\widehat{P}_V(k) = \Big\langle e^{ik\sum_{l=1}^N\log|x-\lambda_l|}\Big\rangle_{{\rm ME}_{\beta,N}(w)}.
\end{equation}
Observing
$$
\Big\langle \prod_{l=1}^N |x-\lambda_l|^\beta \Big\rangle_{{\rm ME}_{\beta,N}(w)}=\Big\langle e^{\beta\sum_{l=1}^N \log|x-\lambda_l|} \Big\rangle_{{\rm ME}_{\beta,N}(w)}
$$
we thus have
\begin{equation}\label{11.1}
\Big\langle \prod_{l=1}^N|x-\lambda_l|^\beta \Big\rangle_{{\rm ME}_{\beta,N}(w)}=\widehat{P}_V(-i \beta).
\end{equation}

More generally let $G:=\sum_{j=1}^N g(\lambda_j)$ denote an arbitrary linear statistic.
The characteristic function is then
\begin{equation}\label{2.13a}
\widehat{P}_G(k) =\Big\langle \prod_{l=1}^N e^{ik \sum_{j=1}^N g(\lambda_j)} \Big\rangle_{{\rm ME}_{\beta,N}(w)}.
\end{equation}
The significance of the relation (\ref{11.1}) is that
for a large class weights $w$ and statistics $g$, (\ref{2.13a}) has a known asymptotic form.
Thus suppose that for large $N$ the eigenvalue support of ${\rm ME}_{\beta,N}(g)$ is the finite interval $[a,b]$. Suppose too that $g(\lambda)$ and its derivative are bounded on $[a,b]$ or more generally that (\ref{m2}) below is finite. In these circumstances there are well founded physical grounds (see e.g. \cite[Section 14.4.1]{Fo10}) to expect that $\widehat{P}_G(k)$ is a Gaussian,
\begin{equation}\label{ea2}
\widehat{P}_G(k)\mathop{\sim}_{N\rightarrow \infty} e^{ik \mu_N(g)}e^{-k^2(\sigma(g))^2/2},
\end{equation}
where the mean $\mu_N(g)$ and variance $(\sigma(g))^2$ have the explicit forms
\begin{align}
\mu_N(g)=&\int_a^b\rho_{(1),N}(t)g(t) \, dt \label{m1}\\
(\sigma(g))^2 =&\frac{1}{\beta \pi^2}\int^b_a dt_1 \, \frac{g(t_1)}{((b-t_1)(t_1-a))^{1/2}}\int_a^b dt_2 \, \frac{g'(t_2)((b-t_2)(t_2-a))^{1/2}}{t_1-t_2}\notag \\
=&\frac{1}{2\beta}\sum_{k=1}^\infty ka_k^2,\hspace{1cm}a_k:=\frac{2}{\pi}\int_0^\pi g\Big(\frac{a+b}{2}+\frac{b-a}{2}\cos\theta \Big)\cos k\theta \, d\theta \label{m2}
\end{align}
(see also \cite{FF03}). At a rigorous level, for a class of weights $w(x)$ including the Gaussian but not Laguerre, and a class of $g(x)$ which does not include $g(x)= \log|x-t|$, this has been proved by Johansson \cite{Jo98}. Very recently \cite{BG11}, for matrix ensembles in which the eigenvalue support is
a single interval, with both endpoints soft edges or a hard edge with parameter $a=0$, the conditions on $g(x)$ have been relaxed to require only that $g(x)$ be analytic in a neighbourhood of
the support. The Gaussian $\beta$-ensemble has the first of these properties, with  $g(x)= \log|x-t|$ for $x$ outside the eigenvalue support has the second
of the properties, and thus then (\ref{ea2}) is a rigorous theorem. But in general the Laguerre ensemble has a hard edge with $a \ne 0$, and so the result of
 \cite{BG11} applies only in the special case $a=0$.

We will proceed under the assumption that (\ref{ea2}) is valid for the linear statistic (\ref{V1}) not only in the Gaussian case, but also
in the general  Laguerre case,
with $x$ outside the interval of support of the eigenvalue density $[a,b]$. Then use of (\ref{ea2}) in (\ref{11.1}) gives
\begin{equation}\label{9.1}
\left\langle \prod_{l=1}^N|x-\lambda_l|^\beta \right\rangle_{{\rm ME}_{\beta,N}(w)}\sim e^{\beta \mu_N(v)}e^{(\beta \sigma(v))^2/2}
\end{equation}
with $v(t)= \log|x-t|$ and appropriate $w$. It thus remains to evaluate $\mu_N(v)$ and $\sigma(v)$. Substitution in (\ref{d.3a}) will then give the sought large $N$ form of the densities. We will treat the Gaussian and Laguerre cases separately.

\section{The Gaussian $\beta$-ensemble}\label{Section3}
\setcounter{equation}{0}
For the weight $w(\lambda)=e^{-M\beta \lambda^2}$ in (\ref{3.a}) with $M/N\rightarrow 1$ as $N\rightarrow \infty$ the leading form of the density $\rho_{(1),N}(t)$ is given by the RHS of (\ref{1.1}) multiplied by $N$. The next order term consists of an oscillatory and a non-oscillatory part \cite{DF06} --- only in the latter contributes to the integral in (\ref{m1}) to the same order. Ignoring then the oscillatory term we read off from Johansson \cite[displayed equation below (2.15)]{Jo98} or more explicitly \cite[eq.~(19), Lemma 2.20]{DE05}, \cite[eq. (1.4)]{FFG06e} that for $|t|\leq 1$
\begin{align}
\rho_{(1),N}(t)\sim& \frac{2(MN)^{1/2}}{\pi}\Big(1-\frac{M}{N}t^2 \Big)^{1/2}
+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\Big(\frac{1}{2}\delta(t-1)+\frac{1}{2}\delta(t+1)-\frac{1}{\pi}\frac{1}{\sqrt{1-t^2}} \Big)\notag\\
\sim & \frac{2M}{\pi}(1-t^2)^{1/2}
+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\Big(\frac{1}{2}\delta(t-1)+\frac{1}{2}\delta(t+1)-\frac{1}{\pi}\frac{1}{\sqrt{1-t^2}}\Big)\notag\\
&\;\;+\frac{N-M}{\pi\sqrt{1-t^2}},\label{w1}
\end{align}
where the second asymptotic equality follows by expanding $M/N$ about $1$.

We seek the value of (\ref{m1}) with $\rho_{(1),N}(t)$ given by (\ref{w1}) and $a(t)=\log(x-t)$. For this we make use of the following integral evaluations.

\begin{proposition}\label{Wx}
Suppose $x>1$. We have
\begin{align}
&\frac{2}{\pi}\int_{-1}^1\log|x-t| \, (1-t^2)^{1/2}dt=x^2-x\sqrt{x^2-1}-\log(2(x-\sqrt{x^2-1}))-\frac{1}{2}, \label{r1}\\
&\frac{1}{\pi}\int_{-1}^1\log|x-t| \, (1-t^2)^{-1/2}dt=\log\Big(\frac{1}{2}(x+\sqrt{x^2-1})\Big).\label{r2}
\end{align}
\end{proposition}
\begin{proof}
It is straightforward to check that for both equations, both sides tend to $\log x +{\rm O}(1/x)$ as $x\rightarrow \infty$. Hence it suffices to show that both sides have the same derivative with respect to $x$, and thus that for $x>1$
\begin{align*}
&\frac{2}{\pi}\int_{-1}^1\frac{(1-t^2)^{1/2}}{x-t}dt=2x(1-(1-1/x^2)^{1/2}),\\
&\frac{1}{\pi}\int^1_{-1}\frac{1}{(1-t^2)^{1/2}}\frac{dt}{x-t}=\frac{1}{(x^2-1)^{1/2}}.
\end{align*}
The first is a well known result in random matrix theory (see e.g. \cite[eq. (1.32)]{Fo10}). Both integral evaluations can be checked by expanding the left hand and right hand sides in powers of $1/x$, and making use of the beta integral on the LHS and the binomial expansion on the RHS.
\end{proof}

Making use of Proposition \ref{Wx} we therefore have
\begin{align}
\mu_N=&M\Big(x^2-x\sqrt{x^2-1}-\log(2(x-\sqrt{x^2-1}))-\frac{1}{2} \Big)\notag\\
&+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\Big(\frac{1}{2}\log|1-x^2|-\log\Big(\frac{1}{2}(x+\sqrt{x^2-1})\Big) \Big)\notag\\
&+(N-M)\log\Big(\frac{1}{2}(x+\sqrt{x^2-1}) \Big).\label{r1a}
\end{align}
Next we are next faced with the task of evaluating (\ref{m2}) for $a(t)=\log|x-t|$ and $a=-1,b=1$. Making use of the second equality in (\ref{m2}), simple manipulation shows we must evaluate
\begin{equation}\label{Ld}
a_k=\frac{2}{\pi}\int_{0}^\pi \log\Big(1-\frac{\cos \theta}{x} \Big) \cos k\theta \, d\theta
\end{equation}
for $k=1,2,\ldots $ and $x>1$.

\begin{lemma}\label{Lem1}
For $x>1$
\begin{equation}\label{Ls}
\log\Big(1-\frac{\cos \theta}{x} \Big)=\log(1-\nu e^{i\theta})(1-\nu e^{-i\theta})-\log(1+\nu^2),
\end{equation}
where
\begin{equation}\label{Ls1}
\nu=x-(x^2-1)^{1/2}
\end{equation}
and thus in particular $0<\nu<1$.
\end{lemma}

\begin{proof}
The RHS of (\ref{Ls}) is equal to $$
\log\Big(1-\frac{2\nu}{1+\nu^2}\cos\theta \Big).
$$
Equating with the LHS we read off that $$
\frac{1}{x}=\frac{2\nu}{1+\nu^2},
$$
and solving for $\nu$ gives (\ref{Ls1}).
\end{proof}

Substituting (\ref{Ls}) in (\ref{Ld}) shows
\begin{equation}\label{Ls2}
a_k=-\frac{2\nu^k}{k},
\end{equation}
and substituting this in the second equality of (\ref{m2}) we see upon evaluating the sum that
\begin{align}
\sigma^2&=-\frac{2}{\beta}\log(1-\nu^2)\notag\\
&=-\frac{2}{\beta}\log(x^2-1)^{1/2}-\frac{2}{\beta}\log(2(x-\sqrt{x^2-1})),\label{r2a}
\end{align}
where the second equality follows upon making use of (\ref{Ls1}).

Let us now make the choice $M=N+1$. Then it follows from (\ref{9.1}), (\ref{r1a}) and (\ref{r2a}) that
\begin{align}
\left\langle \prod_{l=1}^N|x-\lambda_l|^\beta\right\rangle_{{\rm ME}_{\beta,N}(e^{-(N+1)\beta\lambda^2})}
&\mathop{\sim}_{N\rightarrow \infty}e^{(N+1)\beta(x^2-x\sqrt{x^2-1}-\log(2(x-\sqrt{x^2-1}))-1/2)}\notag\\
&\hspace{1cm}\times\frac{(x^2-1)^{(1-3\beta/2)/2}}{((x+(x^2-1)^{1/2})/2)^{(1-\beta/2)}}.\label{wf}
\end{align}
We remark that with the exponent in the average on the LHS replaced by $2 \alpha$, and $\beta$ in ME${}_{\beta,N}$ set
equal to 2, the asymptotic formula (\ref{ea2}) has been used in \cite{K07} to deduce the corresponding asymptotic form
up to the same order as in (\ref{wf}).
With $\alpha = 1$ the result of  \cite{K07} agrees with the $\beta = 2$ case of (\ref{wf}).

The result (\ref{wf}) substituted in (\ref{d.3a}) and use of (\ref{9ax}) then gives our sought generalization of (\ref{2.1}),
\begin{align}
\sqrt{2N}\rho_{(1),N}^{\rm G}(\sqrt{2N}x)\mathop{\sim}_{N\rightarrow \infty}&e^{-N\beta(x\sqrt{x^2-1}+\log(x-\sqrt{x^2-1}))}\notag\\
&\times \frac{(x^2-1)^{(1-3\beta/2)/2}}{((x+(x^2-1)^{1/2})/2)^{(1-\beta/2)}}\left( \frac{N}{\pi}(N\beta)^{-\beta/2}2^{1-\beta}\Gamma(1+\beta/2)\right)\label{wf1}
\end{align}
valid for $x>1$.
As a check on our working we note that in the case $\beta=2$, corresponding to the GUE, the leading two terms in the large $N$ expansion of the largest eigenvalue distribution $p_N^{{\rm GUE}}(\sqrt{2N}s),$ $s>1$, has been obtained recently \cite[eq. (76) with $\alpha=1$ and $t=\sqrt{2N}s$]{NM11}. But the analogue of (\ref{3.2}) for the GUE tells us that this asymptotic form must be identical to that for $\rho_{(1),N}^{\rm G}(\sqrt{2N}s)|_{\beta=2}$. Indeed (\ref{wf1}) with $\beta=2$ reproduces the result from \cite{NM11}.

In the cases $\beta = 1,2$ and 4 simple closed form expressions for $\rho_{{(1)},N}^{\rm G}(x)$ are known in terms of Hermite polynomials
(see e.g.~\cite[Ch.~5\&6]{Fo10}). The simplest case is $\beta = 2$ for which
\begin{equation}\label{17.1}
\rho_{(1),N}^{\rm G}(x) = {2^{-N} e^{-x^2} \over \sqrt{\pi} (N-1)!} \Big ( H_N'(x) H_{N-1}(x) -  H_{N-1}'(x) H_{N}(x) \Big ),
\end{equation}
while for $\beta = 1$ and $N$ even we have
\begin{equation}\label{17.2}
\rho_{(1),N}^{\rm G}(x) = \rho_{(1),N-1}^{\rm G}(x) \Big |_{\beta = 2} +
{e^{-x^2/2} \over \sqrt{\pi} 2^{(N-1)} (N-2)! }H_{N-1}(x) {1 \over 2}
\int_{-\infty}^\infty {\rm sgn} (x-t) H_{N-2}(t) e^{-t^2/2} \, dt.
\end{equation}
The case $\beta = 4$ is similar to (\ref{17.2}), but to make our point is suffices to restrict attention to $\beta = 1$ and 2.

Numerical evaluation of (\ref{17.1}) and (\ref{17.2}) allows the accuracy of (\ref{wf1}) to be quantified.
Define the ratio
\begin{equation}\label{r1}
r^{\rm G}_{\beta,N}(s) := {\rho_{(1),N}^{\rm G}(\sqrt{2N}s) \over \rho_{(1),N}^{\rm G, asym}(\sqrt{2N}s) }
\end{equation}
where $ \rho_{(1),N}^{\rm G, asym}(\sqrt{2N}s)$ is the asymptotic form (\ref{wf1}). The results for particular $s$ and varying $N$
are given in Table \ref{T1a}.

\begin{table}
\begin{center}
\begin{tabular}{c||c|c|c|c||c|c|c|c|}
&1.2 & 1.4 & 1.6 & 1.8 & 1.2 & 1.4 & 1.6 & 1.8 \\\hline
6 &1.404 & 1.177& 1.109  & 1.078 &1.126&1.074&1.056&1.047 \\
12&1.220 & 1.092 & 1.055 & 1.039 &1.067&1.038&1.028&1.023 \\
18 & 1.152&1.062 & 1.037 & 1.026&1.046&1.025&1.019&1.015\\
24 & 1.116&1.047&1.028&1.019& 1.035 & 1.019 & 1.014 & 1.011\\
30&1.094&1.038&1.022&1.015 & 1.028 & 1.015 & 1.011 & 1.009
\end{tabular}
\caption{\label{T1a} The ratios $r^{\rm G}_{2,N}(s)$ (first four inner columns) and
$r^{\rm G}_{1,N}(s)$ (final four columns) for varying $N$ (rows) and given $s$ (columns).}
\end{center}
\end{table}

\section{The Laguerre $\beta$-ensemble}\label{Section4}
\setcounter{equation}{0}

We now turn our attention to the weight $w(\lambda)=\lambda^{a\beta/2}e^{-2M\beta \lambda}\chi_{\lambda>0}$ in (\ref{3.a}) with $M/N\rightarrow 1$ as $N\rightarrow \infty$. The leading two terms in the large $N$ expansion of the smoothed density for $0<t<1$ is most naturally presented in the variable $t^2$. Thus according to \cite[eqns. (6.21) and (6.22)]{FFG06e} we have
\begin{align}
2t\rho_{(1),N}(t^2)\sim&\frac{4(MN)^{1/2}}{\pi}\Big(1-\frac{M}{N}t^2 \Big)^{1/2}
+\Big(a+\frac{1}{\beta}-\frac{1}{2}\Big)\Big(\frac{1}{\pi\sqrt{1-t^2}}-\frac{1}{2}\delta(t) \Big)\notag\\
&+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\Big(\frac{1}{2}\delta(t-1)-\frac{1}{\pi\sqrt{1-t^2}} \Big) \notag\\
\sim&\frac{4M}{\pi}(1-t^2)^{1/2}
+\Big(a+\frac{1}{\beta}-\frac{1}{2}\Big)\Big(\frac{1}{\pi\sqrt{1-t^2}}-\frac{1}{2}\delta(t) \Big)\notag\\
&+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\Big(\frac{1}{2}\delta(t-1)-\frac{1}{\pi \sqrt{1-t^2}} \Big)+\frac{2(N-M)}{\pi\sqrt{1-t^2}}.\label{6.e}
\end{align}
Noting that
$$
\int_0^1\log|x-t|\rho_{(1),N}(t) \, dt=\int_{-1}^1\log|\sqrt{x}-t|(2t\rho_{(1),N}(t^2)) \, dt,
$$
where we define $2t\rho_{(1),N}(t^2)$ for $t<0$ by the requirement that it be even (equivalently replace $\delta(t-1)$ in (\ref{6.e}) by $\delta(t-1)+\delta(t+1)$) we see that the corresponding form of (\ref{m1}) with $a(t)=\log|x-t|$ can be simplified using knowledge of (\ref{r1}) and (\ref{r2}). Thus, with $M=N+1$
\begin{align}
\mu_N=&2M\Big(x-\sqrt{x(x-1)}-\log(2(\sqrt{x}-\sqrt{x-1}))-\frac{1}{2}\Big)\notag \\
&+(a-2)\log\Big(\frac{1}{2}(\sqrt{x}+\sqrt{x-1}) \Big)-\frac{1}{2}(2a+2/\beta-1)\log|x|^{1/2} \notag\\
&+\Big(\frac{1}{\beta}-\frac{1}{2} \Big)\log(x-1)^{1/2}.\label{19.1}
\end{align}

Our remaining task is to evaluate (\ref{m2}) for $a(t)=\log|x-t|$ and $a=0$, $b=1$. Making use of the second equality in (\ref{m2}) shows we must evaluate
$$
a_k=\frac{2}{\pi}\int_{0}^\pi\log\Big(1-\frac{\cos\theta}{2x-1} \Big)\cos k\theta \, d\theta
$$
for $k=1,2,\ldots$ and $x>1$. For this we can use Lemma \ref{Lem1} with $x$ replaced by $2x-1$ in (\ref{Ls1}) and thus
\begin{equation}\label{Ls3}
\nu=2x-1-2x^{1/2}(x-1)^{1/2}.
\end{equation}
In particular it follows that $a_k$ is again evaluated according to (\ref{Ls2}), but with $\nu$ now given by (\ref{Ls3}). Consequently
\begin{align}
\sigma^2&=-\frac{2}{\beta}\log(1-\nu^2)\notag\\
&=-\frac{2}{\beta}\log (x(x-1))^{1/2}-\frac{4}{\beta}\log(2(x^{1/2}-(x-1)^{1/2})). \label{19.2}
\end{align}

The results (\ref{19.1}) and (\ref{19.2}) substituted in (\ref{9.1}) give for the asymptotic form of the $\beta$ moment of the characteristic polynomial for the Laguerre $\beta$-ensemble,
\begin{align}
\left\langle
\prod_{l=1}^N|x-\lambda_l|^\beta\right\rangle_{{\rm ME}_{\beta,N}(\lambda^{a\beta/2}e^{-2(N+1)\beta\lambda})}
\mathop{\sim}_{N\rightarrow \infty} & e^{2(N+1)\beta(x-\sqrt{x(x-1)}-\log(2(\sqrt{x}-\sqrt{x-1})-1/2)}\notag\\
&\times 2^{-a\beta}\frac{(x-1)^{(1-3\beta/2)/2}}{x^{((a+1/2)+1)/2}}(\sqrt{x}+\sqrt{x-1})^{a\beta}.\label{20.1}
\end{align}
We remark that for fixed $N$ and $x$ large the LHS tends to $x^{\beta N}$. It is straightforward to check that this is the $x$ large
behaviour of the RHS, suggesting that (\ref{20.1}) holds uniformly for $x > 1$ (the corresponding Gaussian asymptotic formula (\ref{wf})
also exhibits this property).
Substituting this in (\ref{d.3b}) with $M=N+1$ and making use too of (\ref{9ag}) we obtain for the asympotic form of the density
\begin{align}
4N\rho_{(1),N}^{\rm L}(4Nx)\mathop{\sim}_{N\rightarrow\infty}&e^{-2N\beta(\sqrt{x(x-1)}+\log(\sqrt{x}-\sqrt{x-1}))}\notag\\
&\times \frac{(x-1)^{(1-3\beta/2)/2}}{x^{(\beta/2+1)/2}}(\sqrt{x}+\sqrt{x-1})^{a\beta}\Big( 2^{1-3\beta/2}\Gamma\Big(1+\frac{\beta}{2}\Big)\frac{N}{\pi}(N\beta)^{-\beta/2}\Big).\label{20.2}
\end{align}

In the Laguerre case, for $\beta = 1$, 2 and 4 there are simple closed form expressions for the density in terms of Laguerre polynomials
(see e.g.~\cite[Ch.~5\&6]{Fo10}. The simplest case is $\beta = 2$, for which
$$
\rho_{(1)}^{\rm L}(x) = {\Gamma(N+1) \over \Gamma(N+a)} x^{a}e^{-x} \Big ( L_N^a(x) {d \over dx} L_{N-1}^a(x) -
L_{N-1}^a(x) {d \over dx} L_{N}^a(x) \Big ).
$$
The explicit formulas for  $\beta = 1$ and 4 has a structure similar to (\ref{17.2}). We have used these formulas (in the cases $\beta = 2$ and 1) to
check that that indeed for given $a$, a fixed $x$ and increasing $N$ the ratio of the LHS and RHS in (\ref{20.2}) tends to unity.

\section{Distribution of the largest eigenvalue}\label{Section5}
\setcounter{equation}{0}

We have noted in the case of the GOE that the large deviation form of the right tail of the PDF for the distribution of the largest eigenvalue is, up to exponentially small corrections, equal to the corresponding large deviation form of the density (recall eq. (\ref{3.2})). The given derivation of this formula applies equally as well to the right tail of the largest eigenvalue PDF for the Gaussian and Laguerre $\beta$-ensembles. Thus with $s>1$ we have
\begin{align}
\label{F1} p_N^{\rm G} (\sqrt{2N} s) \sim \rho_{(1), N}^{\rm G} (\sqrt{2N} s),
\end{align}
where the RHS has the explicit form given by (\ref{wf1}), and
\begin{align}
\label{F2} p_{N}^{\rm L} (4N s) \sim \rho_{(1), N}^{\rm L} (4N s),
\end{align}
where the RHS has the explicit form given by (\ref{20.2}).

In \cite{MV09} the leading asymptotic expressions
\begin{align}
\label{51a} p_N^{\rm G} (\sqrt{2N} s) &\sim \exp \left(-\beta N \psi_+^{\rm G} (\sqrt{2}(s-1))\right),\\
\label{51b} p_N^{\rm L} (4N s) &\sim \exp \left(-\beta N \psi_+^{\rm L }(4(s-1))\right),
\end{align}
valid for $s>1$ were derived.
Here, with $G(z):= {}_3F_2 (\{ 1,1,3/2\},\{ 2,3\}; z)$ a particular hypergeometric function, the rate functions $\psi_+^{\rm G}$ and $\psi_+^{\rm L}$ are specified by
\begin{align}
\label{52a} \psi_{+}^{\rm G} (z-\sqrt{2}) &:= \frac{z^2-1} {2} - \log (z\sqrt{2}) +\frac{1}{4z^2} \; G\left( \frac{2} {z^2}\right), \\
\label{52b} \psi_+^{\rm L} (z-4) &:= \frac{z-2}{2} -\log z +\frac{1}{z} \; G\left(\frac{4} {z} \right).
\end{align}
Subsequently in \cite[eq. (15)]{NM11} the first of these was written in the simplified form
\begin{align}
\label{53} \psi_+^{\rm G} (z-\sqrt{2}) = \frac{z\sqrt{z^2- 2}} {2} +\log \left( \frac{z-\sqrt{z^2-2}} {\sqrt{2}}\right).
\end{align}
Substituted in (\ref{51a}) this implies
\begin{align}
\label{54} p_N^{\rm G} (\sqrt{2N} s) \sim e^{-N\beta (s\sqrt{s^2-1}) +\log (s-\sqrt{s^2-1}))},
\end{align}
which indeed is the leading asymptotic behaviour as predicted by (\ref{F1}) and (\ref{wf1}). It is remarked in \cite{NM11} that (\ref{54}) in the GOE case $\beta=1$ was first established in an earlier work \cite{BDG01}.

Note that comparison of (\ref{52a}) and (\ref{53}) implies an explicit form for $G(2/z^2)$. This substituted in (\ref{52b}) implies
\begin{align}
\label{55} \psi_+^{\rm L} (z-4) = \frac{1}{2} \sqrt{z(z-4)} + 2\log \frac{1}{2} \left( \sqrt{z} - \sqrt{z-4}\right).
\end{align}
Now substituting (\ref{55}) in (\ref{51b}) we obtain the explicit large derivation formula
\begin{align}
\label{56} p_N^{\rm L} (4Ns) \sim e^{-2N\beta (\sqrt{s(s-1)} + \log (\sqrt{s}-\sqrt{s-1}))}.
\end{align}
And as in the Gaussian case, this indeed agrees with the leading term as implied by our corresponding formulas (\ref{F2}) and (\ref{20.2}).

The large deviation  tails of the PDF for the distribution of the largest eigenvalue in the $\beta=2, a=0$ Laguerre ensemble have been the subject of a recent experimental study \cite{FPNFD11}. We note that this particular Laguerre ensemble gives the eigenvalue PDF for the matrix product $X^{\dag} X$, where $X$ is an $N\times N$ standard complex Gaussian matrix (see \cite[\S 3.2]{Fo10}). The experimental study relates to the probability distribution of the combined output power from a certain coupled array of high gain lasers. It turns out that the round trip propagation matrix $M$ determining the evolution of the complex electric field in this setting can be decomposed in the form $X^{\dag} X$ for $X$ a square random matrix with near Gaussian complex entries. Moreover, the coupled lasers will lase at the mode with minimal losses, which corresponds to the eigenvector of $M$ with largest eigenvalue, and the output power is proportional to this eigenvalue. Significantly, very large data sets can be generated (order half a million measurements) allowing for the large deviation regime of the PDF to be probed.

In regards to the right tail, the experimental data was compared against the leading form (\ref{56}), modified by multiplication by a numerical factor $c_2 = 0.0063$ chosen on the basis of the modification then giving a better fit of results obtained from numerical simulation. But our result (\ref{F1}) extends (\ref{56}) to give the algebraic and constant terms. Explicitly, for $\beta=2, a=0$ we have
\begin{align}
\label{57} p_{N}^{\rm L} (4Ns) \sim e^{-4N (\sqrt{s(s-1)} + \log (\sqrt{s} -\sqrt{s-1}))} \frac{1}{s(s-1)} \left( \frac{1} {32\pi N}\right).
\end{align}
It thus remains to see if the right tail of the experimentally determined PDF can be resolved to the extent that this correction term can be exhibited.

The formulas (\ref{F1}) and (\ref{F2}) are valid for $N\to \infty$ with $s>1$ fixed. This is to be contrasted to the soft edge scaling limit in which $N\to \infty$ and simultaneously $s\to 1$ according to the scalings \cite{Fo93a}
\begin{align}
\label{S1} \sqrt{2N} s &= \sqrt{2N} + \frac{X} {\sqrt{2} N^{1/6}},\\
\label{S2} 4Ns &= 4N + 2(2N)^{1/3} X
\end{align}
in the Gaussian and Laguerre cases respectively. For $\beta$ even the explicit soft edge scaling form of the density $\rho_{(1)}^{\rm soft} (X)$ --- which as a consequence of the principle of universality \cite{Ku11} is independent of the particular case, Gaussian or Laguerre --- has been calculated in \cite[Corollary 12]{DF06}. Of interest to us is the corresponding right tail asymptotics deduced from this exact expression \cite[Corollary 14]{DF06} (corrected by the removal of a spurious factor of 1/2 on the RHS)
\begin{align}
\label{S3} \rho_{(1)}^{\rm soft} (X) \mathop{\sim}\limits_{X\to\infty} \frac{1}{\pi} \frac{\Gamma (1+\beta/2)}{(4\beta)^{\beta/2}} \frac{e^{-2\beta X^{3/2}/3}} {X^{3\beta/4 -1/2}}.
\end{align}
In the context of largest eigenvalue distributions, the argument leading to (\ref{3.2}) tells us that the PDF, $p^{\rm soft}(X)$ say, of the soft edge scaled largest eigenvalue of the Gaussian and Laguerre $\beta$-ensembles must have the same leading large $X$ asymptotic form as $\rho_{(1)}^{\rm soft}(X)$. Thus for $\beta$ even (at least)
\begin{align}
\label{S4} p^{\rm soft} (X) \mathop{\sim}\limits_{X\to\infty} \frac{1}{\pi} \frac{\Gamma (1+\beta/2)}{(4\beta)^{\beta/2}} \frac{e^{-2\beta X^{3/2}/3}} {X^{3\beta/4 -1/2}}.
\end{align}
The cases $\beta = 1$ and 2 of this expression, deduced using the exact Painlev\'e transcendent evaluations of $p^{\rm soft} (X)$ in these cases
(see e.g.~\cite[Ch.~9]{Fo10}) were reported in \cite{VBAB01}.
The equivalent asymptotic expression
\begin{align}
\label{S5} \int_X^{\infty} p^{\rm soft} (y) \, dy \mathop{\sim}\limits_{X\to\infty} \frac{1}{\pi \beta} \frac{\Gamma (1+\beta/2)}{(4\beta)^{\beta/2}} \frac{e^{-2\beta X^{3/2}/3}} {X^{3\beta/4}},
\end{align}
up to the explicit form of the constant but applying for general $\beta>0$, has recently been derived in \cite{DV11}, using the stochastic differential equation characterization.

It is possible to use our explicit large deviation forms (\ref{wf1}) and (\ref{20.2}) for $\rho_{(1),N}^{\rm G} (\sqrt{2N}s)$ and $\rho_{(1),N}^{\rm L} (4Ns)$ to reclaim (\ref{S3}). Thus as done in \cite{MV09} for the leading asymptotic forms (\ref{54}) and (\ref{56}), we replace $s$ by (\ref{S1}) (Gaussian case) and (\ref{S2}) (Laguerre case). Taking the limit $N\to \infty$ then reclaims the RHS of (\ref{S3}). In fact such correction formulas to the $X\to\infty$ form of $\rho_{(1)}^{\rm soft} (X)$ should hold for the complete asymptotic series of $\rho_{(1),N}^{\rm G} (\sqrt{2N} s)$,  $\rho_{(1),N}^{\rm L} (4N s)$ upon this double scaling.

The results of our study also have consequences with regard to the large deviation right tail form of the probability $E_{N, \beta} (k; (s,\infty))$ that there are precisely $k$ eigenvalues in the interval $(s, \infty)$ of the Gaussian and Laguerre $\beta$-ensembles. Now analogous to (\ref{3.1})
\begin{align}
\nonumber E_{N, \beta} (k; (s,\infty)) = &\int_s^{\infty} dt_1 \cdots \int_s^{\infty} dt_k  \, \rho_{(k)}(t_1,\dots,t_k)\\
\nonumber & - {k+1 \choose 1} \int_s^{\infty} dt_1 \cdots \int_s^{\infty} dt_{k+1} \, \rho_{(k+1)}(t_1,\dots,t_{k+1}) +\dots
\end{align}
For the Gaussian case, changing variables as in (\ref{3.1}) and making use of the analogue of (\ref{3.1e}) shows that for $s>1$
\begin{align}
\nonumber E_{N,\beta}^{\rm G} (k; (\sqrt{2N} s,\infty)) \sim (\sqrt{2N})^k \left(\int_s^{\infty} \rho_{(1),N}^G (\sqrt{2N} t) \, dt\right)^k
\end{align}
with $\sqrt{2N} \rho_{(1),N}^{\rm G} (\sqrt{2N} t)$ in turn given by (\ref{wf1}). Similarly, in the Laguerre case, we have that for $s>1$
\begin{align}
\nonumber E_{N,\beta}^{\rm L} (k; (4Ns,\infty)) \sim (4N)^k \left( \int_s^{\infty} \rho_{(1),N}^L (4N t) dt \right)^k
\end{align}
with $4N\rho_{(1),N}^{\rm L} (4Nt)$ given by (\ref{20.2}). The soft edge scaling limit of either of these reads
\begin{equation}\label{As}
E_\beta^{\rm soft}(k;(s,\infty)) \mathop{\sim}\limits_{s \to \infty} \Big ( \int_s^\infty \rho_{(1)}^{\rm soft}(t) \, dt \Big )^k.
\end{equation}
This asymptotic form compliments that for $E_\beta^{\rm soft}(k;(s,\infty))$ with $s \to - \infty$ recently derived in \cite{FW11}.

\subsection*{Acknowledgements}
The participation of Chris Ormerod in the early stages of this project, and the help
of Wendy Baratta and Anthony Mays in the preparation of the manuscript, is
acknowledged. This work was supported by the Australian Research Council.

redpajama_set_name: RedPajamaArXiv


Fundanas bandanas are games either in a scavenger hunt or bingo game format printed on 100% cotton bandanas designed to teach kids 3 and older about the environment around them in a fun, different way. They measure 22 x 22 x 22 x 22. The Fundanas (ages 7- 12) have no loose pieces, are washable, easy to carry and best of all REUSABLE! The bright colors and interesting questions encourage learning and fun in children and the adults have the time of their lives playing with the kids to solve the bingo and scavenger hunt games.


1970 Dodge Challenger T/A Rear Spoiler. Kit options available.
1970 1971 1972 1973 1974 Plymouth Cuda and Dodge Challenger E-Body Muffler Heat Shields.
1977-79 Chevy Rally Nova Side Body Stripe Kit- Includes: per-formed left and right fender, doors, quarter and rear end panel stripes.


I'm trying a little experiment on the web—a project to highlight and encourage other people to write about biology or medicine or natural history by posting a biweekly digest of interesting weblog articles on those topics. The project is called The Tangled Bank. The first entry is currently posted at my website, and the next edition will be published in two weeks and hosted at the Invasive Species Weblog. These will be places where you can learn about other weblogs that should be of interest to readers of The Panda's Thumb.
Our first edition has only seven entries, but we hope that will grow, and that's why I'm mentioning it here. If you even occasionally write about science on your weblog, send a URL to one of your recent articles, preferably with a brief synopsis, to host@tangledbank.net. If the article meets our generous criteria, we'll acknowledge you with a link in the next edition. Join in, make connections, spread the word about good science!


text:
Former MLB Commissioner's Dad Memories Of Football Legends
Don Laible
Don Laible Published: June 20, 2021
You could never have enough good stories to share on Father's Day.
Having a catch at a little league field in the early morning before heading out to treat dad to his favorite meal, or tossing a football around, and reminding each other when training camps open, it's fun. It's private time with dad.
No matter what your sex, what your profession is, or age, for the most part, we all have piles of mental memories of the person who we see as dad.
Sports is a major contributor to these good times.
For instance, take former MLB Commissioner Fay Vincent.
Today, Vincent, 83, isn't short on details of his favorite times being with his dad. When reading his autobiography - The Last Commissioner: A Baseball Valentine, and speaking on the phone, it's clear that Vincent's dad is his hero. Involvement in sports runs deep in his family's lineage.
Francis Thomas Vincent, Sr. as a student at Yale University captained the baseball and football teams. Upon graduation, when not at his day job with a local telephone company, Francis Thomas could be found umpiring college and high school baseball games. He also worked his way up the ranks officiating football games at all levels - high school, college, and ultimately for the NFL.
Vincent, who served as MLB's eighth commissioner for three years, following the death of his longtime friend Bart Giamatti in September 1989, usually finds a way to work in memories from his childhood involving the Cleveland Browns football club. Why not? When he thinks of the football Browns, Fay includes his dad.
"I grew up sitting on the bench," Vincent explained earlier this week during a phone conversation from his Connecticut home." Dad would wrap me in a blanket to keep warm on the team bench. The team doctor would keep an eye on me. I first remember this when I was eight or nine-years-old."
With all of his prestigious professional accomplishments including being named Chairman of Columbia Pictures, executive vice-president of Coca-Cola, and MLB commissioner, it's football that revs up our conversation. Great names from the gridiron, several who went on to become hall of famers, are just waiting to be released by Vincent.
ARLINGTON, TX - JULY 1990: MLB Commissioner Fay Vincent and Texas Rangers managing general partner George W. Bush look on during a July 1990 Texas Rangers game at Arlington Stadium in Arlington, Texas. (Photo by A. Kaye/Getty Images)
"My dad would be working a game at Yankee Stadium, and I was enamored to meet the stars. I met Mel Allen (hall of fame baseball broadcaster who also called play-by-play of college and professional football) at the stadium. Buddy Young, Otto Graham, stars of their time, I knew them up close."
The 1946 Browns is probably Vincent's favorite. They turned in a 12-2 win-loss record, and won the All-American Football Conference championship that season. Paul Brown, coach and co-founder of the team, was Francis Thomas, Sr.'s favorite.
"Dad thought (Brown) was the greatest coach. He felt that Brown didn't get the attention deserved as others do," says Vincent, who, when commissioner, had to navigate through a 1989 World Series interrupted by an earthquake, an owner's lockout, and banning Yankees' principal owner George Steinbrenner from baseball.
As a youngster, and being on the sidelines of Browns and other teams' games, Vincent recalls getting friendly with some of the players. Fullback Marion Motley and rookie right guard from Ohio State, Bill Willis, of the '46 Browns, are who come to mind first. That team, that season, remains Vincent's favorite.
"They ('46 Browns) were the first team I rooted for."
Then, in 1950, came the merger between the AAFC and the National Football League.
The Browns opened up their initial NFL season against the Philadelphia Eagles, who were expected to rout one of the newest teams in the league. All the Browns did is win 35-10. This remains a happy time to revisit for Vincent. Future coaching greats Don Shula and Chuck Knoll, who saw their limited playing days come through Cleveland, are among others who Vincent met up close.
"Every game my father would get me a program. I'd have players autograph them, then cut out their pictures, and make my own football scrapbook. One time, I didn't have my program with me, and I saw Bruiser Kinard of the Yanks (AAFC New York Yanks) and asked him to sign a scrap of paper I had. Bruiser said to go ask my dad to buy me a program."
The respect Francis Thomas Vincent, Sr. earned from the players on the field transcended to his safety, while getting on and off of it. There were times when upset fans, fresh off of their home team coming out on the losing end and blaming part of their disappointment on the officiating, players from both teams made sure both Vincents boarded the bus without incident.
Such a compliment was a direct result of the respect the athletes had for Vincent, Sr.'s sense of fair play. And all the while, the kid from Waterbury and later New Haven, the future MLB commissioner, was having a blast as a fan, always within eye contact of his dad.
Happy Father's Day, Mr. Commissioner.
Kristine Bellino, WIBX
Don Laible is a freelance sportswriter living in the Mohawk Valley. He has reported on professional baseball and hockey for print, radio, and on the web since the 1980's. His columns are featured weekly at WIBX950.com. Don can be contacted via email at Don@icechipsdiamonddust.com.
KEEP READING: Here are 50 of the most famous sports goofs
Filed Under: Fay Vincent, Major League Baseball, mlb


After a few seconds, a young seminarian took the microphone and spoke in accented Greek. He was clearly born and raised in America.
"Do you understand the question that Michael raised?" Fr. Maximos asked. He apparently had already met that seminarian during lunch and knew him by name. Michael's question dramatized the clash between two seemingly incompatible values: a modern, pluralistic American culture, which nurtures individualism and self-reliance as the highest of values (partly an outgrowth of the Protestant work ethic), and the Athonite prescription of obedience to an elder as a means of attaining deification in Christ. Obedience in this case means the complete abandonment of your wishes, opinions, and desires.
Fr. Maximos leaned back. "We need," he began, "discernment in order to understand the difference between obedience in the context of monasticism and obedience in the context of an ordinary life in the world. In monasticism, there is an absolute relationship between the elder and his disciple. We consider it a mystery, a sacred bond based on the promise of the monk to absolutely obey God 'unto death' through the guidance of an elder. This is very important to understand, "Fr. Maximos emphasized. "We do not obey the elder for the sake of the elder. This relationship is not an end in itself. The goal is to establish an eternal union with Christ through Grace.
"Obviously, this form of monastic obedience cannot be part of ordinary life in the world. Unlike the monks, who are totally free from social obligations, ordinary people are also subjected to a great variety of duties and obligations: to families, to husbands, to wives, to children, to employers, and so on.
"But isn't obedience antidemocratic? Isn't it contrary to the modern spirit of individual freedom?" a young woman objected.
"Of course there is the possibility of corruption," Fr. Maximos confirmed. "That is why I emphasize the need for discernment, which can guard against such abuses. We need to realize that we must be obedient to the commandments of God, as they are revealed through the gospels, not to the whims of any particular person. The proper role of the Ecclesia and the spiritual guide is to help interpret for laypeople God's divine laws and not to exercise power over them. As I mentioned before, it is similar to obeying a doctor who tells you that you must get this or that medicine if you wish to get well. Nobody is forcing you to get well.
"That is not what happens with monks and nuns," I interjected.


All attendees, musicians, sponsors and volunteers at our events are required to agree with the following code of conduct. The Rogue Folk Club provides a unique approach to concert presentation, offering audiences the opportunity to see and hear some of the most accomplished musicians and singers in the world in a relaxed, intimate setting. Our mandate is to entertain, educate and inform our audience by presenting internationally-renowned performers of Celtic, folk & roots music in an affordable, accessible, friendly, comfortable, smoke-free setting. We value the participation of everyone who loves live music and want everyone in attendance to have a positive and fun experience. In other words, don't do something that your 82-year-old grandma would not be proud of seeing you do. If you do – you're out of there!
The Rogue Folk Club is dedicated to providing an inclusive environment for everyone in attendance, regardless of gender, gender identity and expression, sexual orientation, disability, physical appearance, body size, race, citizenship or religion. All communication should be appropriate for a professional audience including people of various backgrounds.
- inappropriate physical contact and unwelcome sexual attention.
Participants asked to stop any harassing behavior are expected to comply immediately. If you witness a participant engaging in inappropriate behavior, are being harassed, or have any other concerns, please contact a member of the event staff immediately.


Not long ago cystinosis was most definitely a terminal disease. Even up until the early 90's parents whose children were just diagnosed were told their child would likely not live past 10 years old. But with the introduction of Cysteamine treatment (now a days Cystagon and Procysbi) people with cystinosis are living longer than ever!… Continue reading Is it Terminal?


With the world of technology keeps growing, so is the means of gathering and sharing information in our midst. Thanks to technology, we are now enjoying the benefits different that social media platforms provide. Cat gifs and viral, funny political memes on the internet are sure to be fun. But while technology can give us the laughs, it also can provide us the smarts.
For example, technology is helping teachers to go beyond linear, text-based education and make student engagement and performance more efficient. Technology also makes students learn best in their learning pace and styles.
Its role in the classroom has also evolved into an interactive learning tool that could improve how we introduce concepts, assign tasks, or assess progress. In combination with all these, here are the ways technology have revolutionized the learning landscape for the better.
The 21st-century technological revolution brings us the open-source movement. The trend provides free and open-source education options available from prestigious universities and schools.
What is remarkable about the open-source movement is that it level the playing fields between the rich and the poor. It means driven people, no matter what social status they belong, are now able to educate themselves with this latest in technology and education. For sure, this is a benefit not only for them but also for all of us.
Gone are the days when teachers use traditional learning visual aids that, instead of aiding students to improve their learning, only complicates the process. Nowadays, we can now demonstrate to students why mixing particular chemicals is dangerous, how molecules act in different situations, and what evolution is with clear and interactive digital visual aids.
Digital simulations and models help teachers explain concepts that are just too big or too small to demonstrate in a physical classroom. Teachers who are tech-savvy can now create learning activities with text, models, and interactive controls that help improve student learning.
With the growing popularity of online educational platforms and curriculum resources such as the Khan Academy, USATestPrep, and Coursera, more and more people are now gaining knowledge and education online. This trend is going to continue, with colleges starting to give real diploma for completing online courses.
Ineffective communication among teachers and students is sure to be a hindrance to learning and education.
Thanks to technology, there is now an improvement in the ways and flow of knowledge at every level. The classroom transforms into a community where teachers post assignments in no time, and students can ask questions for clarifications. Moreover, students can now interact with their peers concerning relevant education matters.
With the advent of the cloud to store information, web-based research has now become more convenient and efficient. Unlike the old days when one would have to go through massive piles of books to look for the intended pages, research is now easier with efficient searching tools.
You will now have more time internalizing new information and ideas learned because of the time saved by the research process using technology. The capability to compare research results by students worldwide has made possible the easier acquisition of solutions and enhanced results. For sure, this is one the most obvious benefits of technology in a student's life.
Each student has a different ability to grasp and learn a particular concept. While we consider some students as quick learners, there are others who must take a considerable time to absorb a given lesson or idea. With technology, slow learners can now keep pace with their peers because there are lessons and curriculum online specially designed for them.
Slow learners can now study and learn concepts at their convenience and will have ample time to consult their teachers privately for a better understanding.
With the use of technology, students are now enjoying their studying more than ever. It is essential because student engagement to a particular learning task helps improve the retention rate of new concepts.
Tablets, computers, and laptops used in classrooms make an otherwise dull subject into something more fun. Where there is a difficulty in understanding a subject, a student can look for a live streaming video online for a different approach to an idea and better understanding.
Not only that digital models and simulations are powerful tools for teaching concepts, but it can also provide teachers a much clearer picture as to their students' progress.
There is also computer software that will enable teachers to gather real-time assessment data from their students. Every time the teacher gives out learning tasks, he or she can notice how far along students are, how much time they spend on each question, and whether they are doing good on a subject.
With this data, he or she can assess whether the students are having a hard time with a concept, and can provide examples of students' work on a projector for discussion.
Education is essential for all of us to live in a modern society and offer our contributions to the world. As they say, education is the passport to the future. Hence, we need to keep learning so that we will be able to prepare ourselves for what comes for tomorrow. With the advent of technology, the landscape and ways of learning also change. We need to improve the ways we learn to keep pace with the fast-changing world. There are many applications, online learning platforms, and educational resources on the internet for this purpose. We only need to take advantage of them.


A Private Foundation is a nonprofit organization whose directors and officers and their relatives are primary financial supporters of the organization. The IRS divides the nonprofit world into two groups—private foundations and public charities. You are assumed to be a private foundation unless you can show that you are supported in large part (at least one-third) by the general public (rather than the directors, officers, and their families). If the plan for your organization calls for general public support, you have 4-5 years to prove that indeed this is where your support comes from. Even though the directors and officers and their families give most or all of the money in the beginning ("seed money"), you can still be considered a public charity during the 501c3 application process.
DO NOT CHECK THE PRIVATE FOUNDATION BOX and pay the additional $200 if your long-term plan is for public support even though you are putting in all or most of the money in the beginning.
HERE'S WHAT THE IRS HAS TO SAY ABOUT PRIVATE FOUNDATIONS: ***Private foundations: Organizations that are exempt under section 501 (c)(3) are private foundations unless they are: churches, schools, hospitals, governmental units, entities that undertake testing for public safety; organizations that have broad financial support from the general public; or organizations that support one or more other organizations that are themselves classified as public charities.
***Public charity: Organizations that are exempt under section 501 (c)(3) and are not private foundations because they are: churches, schools, hospitals, governmental units, entities that undertake testing for public safety; organizations that have broad financial support from the general public; or organizations that support one or more other organizations that are themselves classified as public charities. Public charity status is a more favorable tax status than private foundation status.
***Private operating foundation: A type of private foundation that lacks general public support, but makes qualifying distributions directly for the active conduct of its educational, charitable, and religious purposes. "Directly for the active conduct" means that the distributions are used by the foundation itself to carry out the programs for which it is organized and operated. Grants made to assist other organizations or individuals are normally considered indirect.


text:
"…Coach Kehoe tells us stories about the old Canes versus the old Huskers, so we know what this game means for the Hurricanes.''
4 Out of 11, the number of times a national championship was decided by the result of a Miami/Nebraska matchup.
And he knows even more so after last year's game in Lincoln, Nebraska.
In front of a Memorial Stadium turned red by the record crowd of 91,585, star running back Ameer Abdullah and his Huskers stomped the Hurricanes 41-31.
Abdullah, who ran for 229 yards and two touchdowns in a game marred by personal fouls and tempers run amuck, is now in the NFL. So is former UM left tackle Ereck Flowers, the New York Giants' first-round pick who waved goodbye to the Huskers fans with his middle finger.
"I've heard,'' said new Nebraska coach Mike Riley, who took over for the dismissed Bo Pelini and has installed a pro-style offense. "But I don't know much else about it other than knowing that it was emotional. We've had two unsportsmanlike penalties, two cheap shots, and we're going to get rid of all that. Self-control is always really, really important.
"…I understand the great history of this game and some of the historical ramifications of the games against Miami being played for national championships. That's pretty good stuff, and it's led to a nice, current-day rivalry.''
The Hurricanes and Cornhuskers will meet for the 12th time, with NU leading the series 6-5. The 1983 Hurricanes defeated the Huskers in the Orange Bowl for their first national championship — and eight seasons later beat them again in the Orange Bowl for national title No. 4.
The 1994 Huskers defeated the Hurricanes in the Orange Bowl for Nebraska's third national title and legendary coach Tom Osborne's first.
And old-time UM and NU diehards obviously recall – some with delight, others with disgust – the 2001 Canes' 34-0 halftime lead that preceded their fifth national title 37-14 in the Rose Bowl.
Though it's not at a postseason bowl or for a national title, this game screams of significance for a Hurricanes team that finished 6-7 last season and needs to keep winning to give its embattled coach some breathing room, maintain some of the highly touted recruits who have orally committed and keep alive hopes for a better 2015.
"We're a different team,'' safety Dallas Crawford said. "We're the 2015 Hurricanes. We're more disciplined now. We're stronger at the point of attack. Everybody is buying in. We'll see what happens.''
Hurricanes quarterback Brad Kaaya — the close friend and former West Hills, California, Chaminade Prep teammate of Abdullah's heir apparent Terrell Newby — is the reigning Atlantic Coast Conference Rookie of the Year who threw for a career-high 359 yards in the Nebraska loss.
"I've known he was a great quarterback since high school,'' Big Ten Co-Offensive Player of the Week Newby said of Kaaya after Newby rushed for 198 yards in a 48-9 victory over South Alabama. "We've been real close since [we were] 6 years old.
"I was shocked at first that he committed to Miami. I thought he was probably going to stay local, but obviously he saw something in the program, and he's been doing a great job over there.''
Kaaya began his infatuation with the Canes when he said "Miami and Nebraska fans flooded L.A.'' for the 2001 Rose Bowl. He is one Hurricane who knows about the rich, entwined history between the teams — four of the 11 games between them have decided national championships.
You're bringing together two college football programs that have achieved tremendous success and have a great history of big games against each other.
-University of Miami athletic director Blake James
"I mean, that was the first Miami game I ever watched,'' he said before last year's meeting on Sept. 20. "And to be playing against Nebraska now as the Miami quarterback is a pretty cool feeling.''
It wasn't particularly cool as the game unfolded. The Cornhuskers rushed for 343 yards and picked off Kaaya twice.
Nebraska has won at least nine games each of the past seven seasons and is led by junior quarterback Tommy Armstrong, who amassed 3,400 yards of total offense in 2014, including 705 yards and six touchdowns rushing.
Armstrong has completed 63.3 percent of his passes through two games in 2015 for 589 yards and five touchdowns, with one interception.
Saturday's game is expected to draw at least 50,000 fans, a hearty crowd for Miami.
The matchup "from a fan's perspective'' is a winner, said UM athletic director Blake James.
"You're bringing together two college football programs that have achieved tremendous success and have a great history of big games against each other,'' James said. "But for the guys on the field, they relate back to the game in Lincoln last year."
Linder didn't play in Lincoln, but will start Saturday. He said he's ready for anything.
"It was a physical game last year and we're expecting the same kind of game,'' Linder said. "It's a passionate sport we play. Stuff happens.''
Susan Miller Degnan:
@smillerdegnan
university-of-miami
Live updates: Miami Hurricanes vs. Nebraska Cornhuskers
Sports Buzz: Several UM recruits says UM needs to win big games
UM coach Manny Diaz on Mark Richt, and recruiting in the state of Florida.
UM linebacker Shaq Quarterman thinks the Canes can win the Coastal Division
Manny Diaz update on Miami QB race and what he said specifically about each contender
By Susan Miller Degnan
Fall football camp begins next Friday, July 26, at the University of Miami. Coach Manny Diaz talked specifically about each of the three contenders vying for the starting job.
MORE UNIVERSITY OF MIAMI
Miami LB Shaq Quarterman: 'I've seen guys turn into real monsters in a short period'
Manny Diaz happily setting 'ridiculously high' standards for the Miami Hurricanes
What Manny Diaz said when asked about the possibility of a Miami QB transferring soon
UM and UCF renew home-and-home series, but it isn't quite what football fans wanted