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List of Richest & Highest Paid Bollywood Female Singers
WikiListia Staff 3 CO-AUTHORS
3170 Views114 Votes13 Comments
In India music is a traditional way to express emotions. Bollywood music has also received a prominent status amongst the worldwide music industry. The Bollywood female singers achieved a special place in world through their sweetest voice. Many Indian female singers have won million of hearts across the world with their melodic abilities and silken voice. Here we are listing richest and highest paid Bollywood female singer who became very popular for their sweet voice.
13 Richest & Highest Paid Bollywood Female Singers
This List contains 13 Richest & Highest Paid Bollywood Female Singers. Please share your comments and votes on items to make this list more helpful for other users.
Indian Playback Singer
Shreya Ghoshal is a very popular Indian female singer. She started learning music at the age of four years and at the age of six years she started classical music training. She started her carrier in 1998 and now she is one of the highest paid playback singer in Bollywood. Shreya was born on 12th March 1984 in Murshidabad, West Bengal. She has won of Sa Re Ga Ma Pa reality singing show. She is also one of the richest singer in Bollywood with the net worth 25 million US dollar. Shreya specialised in Vocals and received many awards, worked with many record studio like Sagar Music Times Music Saregama Asha Audio.
"Beautiful "
"Best singer in world"
"My favorite Singer"
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Indian Singer
Neha Kakkar is the runner up of famous singing reality show Indian Idol season 2 in 2006. She also judged the famous reality show Sa Re Ga Ma Pa Lil Champs broadcast on Zee TV. She released her first album Neha-The Rock Star in 2008 that did huge blast at music industry, the music of that album was composed by Meet Bros. She sung many famous songs like Manali Trance, Sunny Sunny, Aao Raja, London Thumakda etc.
"Awesome singer "
"Neha kakkar is the best singer"
Palak Muchhal was born on 23rd March 1992 in Indore, Madhya Pradesh. She is a famous Bollywood playback singer and perform stage shows across India with her brother Palash Muchhal. She raised funds through her charity shows for poor children who are suffering from heart diseases. Palak also listed her name in both Limca Book of World Record and Guinness Book of World Record for great achievement in social work.
"Di, your voice is really very sweet. I'm in love with your voice"
Sunidhi Chauhan is a most popular female singer who sung in many Indian languages like Hindi, Marathi, Tamil, Telugu and many more. She was born on 14 August 1983 in New Delhi while currently living in Mumbai, Maharashtra. She also sung for many Bollywood films like Ehsaas - The Feeling, Bhoot, Bas Ek Pal, Sons of Ram, Hawaa Hawaai and many more. Sunidhi also won many award and achievement in her active carrier. Chauhan made her debut career at the age of 13 years with the movie Shastra. She also won "Meri Awaz Suno" reality show at the early age of thirteen. Sunidhi Chauhan charges 6-7 lakh rupees for her each song. She is one of the richest Bollywood female singer with net worth 10 million US dollar.
Neeti Mohan
Neeti Mohan was the winner of singing reality show Popstars which was broadcast on channel V. She earn much success after releasing a famous song "Ishq Wala Love". She was also nominated for Filmfare Award for "Jiya Re" song. Neeti was born on 18th November 1979 in Delhi. She charges 4-5 lakh per song. Neeti is one of the richest and highest paid Bollywood female singer.
Kanika Kapoor
Kanika Kapoor is a popular Bollywood female singer who was born on 21st August 1981 in Lucknow, Uttar Pradesh. Kapoor has won million of hearts by singing many popular songs like Baby Doll, Chittiyaan Kalaiyaan, Nachan Farrate, Kamlee, Lovely, Desi Look etc. Kanika also honored with Filmfare Award for best female playback singer. She is one of the richest and highest paid Bollywood singer.
"You are the best singer ever "
Monali Thakur
Indian Singer, Actress
Monali Thakur is a famous Bollywood playback singer who was born 13th November 1985 in Kolkata, West Bengal. She was trained in Indian classical music and also learnt hip hop and Bharatanatyam. She had judged singing reality show Sa Re Ga Ma Pa L'il Champs 2014 on ZEE TV. She has won National Film Award and Filmfare Award for best female playback singer.
Tulsi Kumar
Tulsi Kumar is a popular Bollywood playback singer and actress. She is daughter of famous singer Gulshan Kumar. She started her music career by singing the songs in some Bollywood movies like Hum Ko Deewana Kar Gaye, Chup Chup Ke and Aksar. Tulsi was born on 15th March 1986 in New Delhi. She is a richest and highest paid Bollywood with a net worth 20 million USD dollar.
Alka Yagnik was born on 20th March 1966 in Kolkata, West Bengal. She is a popular Bollywood playback singer. Yagnik also holds a record of seven time winner of Filmfare Award. Her mother also a classical music singer. Yagnik charges 12 lakh rupees per song. She is richest Bollywood singer with a net worth of 8 million USD dollar. Alka was married to businessman Neeraj Kapoor.
"Old is gold"
Richa Sharma Singer
Richa Sharma is an Indian playback Singer who also debuted in Bollywood. She was born on 29 August 1974 in Faridabad.
"She is one of the famous and highly talented singer"
Harshdeep Kaur
Punjabi Playback Singer
"Harshdeep Kaur started learning music at a very young age 6. Harshdeep is the first female singer who win two reality show titles. In span of time, Harshdeep Kaur became a famous singer"
"nyc jaan"
Hard Kaur
British-Indian Rapper
Hard Kaur is a popular British Indian rapper and hip hop singer and actress, her real name is Taran Kaur Dhillon. In 2008 she also performed at Live Earth India. She released various popular songs like Ek Glassy, Move Your Body. In 2017 Kaur was released her first album Supawoman. In 2008 she honored with Best Female Act award. Kaur charges 5.5 lakh rupees for each song. Hard Kaur is associated with many acts like D12, Hiphop Tamizha, Country Chicken and worked under the Label of Sony Music. She also rapped for many songs like Paisa Phek (Move Your Body) from Johnny Gaddaar's movie, Ugly Aur Pagli from Talli. She sung many famous song in Bollywood movies like Kismat Konnection, Singh Is King, Ajab Prem Ki Ghazab Kahani, Bachna Ae Haseeno etc.
Sona Mohapatra
Sona Mohapatra is an Indian Singer who recently came in light due to a controversy in October 2018, she accused Kailash Kher and Anu Malik for sexual misconduct.
"Sona is very underrated talented singer. She started her carrier from Indian TV reality show "satyamev jayte" As lead female singer. Then she sang many Bollywood songs like ambarsariya, naina etc.and aaja ve and rangabati are non Bollywood songs which are also popular.. "
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text:
Ryan Conwell
Colton Watkinson, Know the Game Podcast, Ep. 16
This week's guest for the Know the Game podcast is Colton Watkinson of the New England Black Wolves.
Colton describes how he went from being released from his Junior B team to the Hill Academy, to a remarkable career at Limestone that has led to being a first-round NLL draft pick. While at Limestone, he was a two-time All-American, a Midfielder of the Year, three-time National Champion and one-time runner-up. He immediately became an impact player for the Black Wolves since joining the team and now will join the Florida Launch this upcoming summer in the MLL.
Colton Watkinson: Know the Game Podcast
Ryan is originally from the Central New York area and has a lacrosse problem. After roaming various men's leagues in the Upstate New York region, he relocated to the Greater Boston area where he does much of the same. When not playing, he spends his waking hours following the sport across all levels, watching games, driving to games, and coaching youth lacrosse. He also specializes in stringing lacrosse sticks poorly.
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redpajama_set_name: RedPajamaCommonCrawl


text:
Raw Blues Power — совместный альбом Пола Гилберта и Джими Кидда, выпущенный в 2002 году.

Информация об альбоме
Пол неоднократно отмечал, что он мог бы и не стать гитаристом, если бы не его дядя, Джими Кидд, который с детства привил ему любовь к музыке и игре на гитаре. Джими Кидд уже однажды записывался с Полом — он сыграл гитарное соло в композиции «Ballad of the Last Lions» на предыдущем альбоме Пола, Alligator Farm. Опыт оказался успешным, и Пол решил записать с Джими совместный альбом.

Список композиций
Все песни написаны Полом Гилбертом, кроме отмеченных особо.
 «Girls Watching» — 03:46
 «A 180» — 03:41 (Джими Кидд)
 «Pacific Coast Highway» — 03:00
 «Good Foot» — 06:30 (Кидд)
 «12 Days of the Blues» — 03:49 (Гилберт, Кидд)
 «Freedom» — 03:55 (Кидд)
 «Stranded» — 03:29
 «Play Guitar» — 02:50 (Кидд)
 «Sookie Sookie» (Don Covay cover) — 03:08
 «Blues Power» — 09:28 (Кидд)

Участники записи
 Пол Гилберт — вокал, гитара
 Джими Кидд — вокал, гитара
 Майк Шутер — бас-гитара
 Джонни Федевич — ударные
 Джефф Мартин — бонго (трек 4)

Продюсирование
 Продюсирование, запись и сведение — Пол Гилберт
 Мастеринг — Стив Холл (Future Disc Systems)
 Записано на студии Batgirl (Лас-Вегас, США)

Примечания

Альбомы Пола Гилберта

redpajama_set_name: RedPajamaWikipedia


While the Australian Online Bookshop lists a large number of books on its web site that you can find by searching, there are far more books in print that we can get on special order. If you want a book that is not listed, send the details (author, title, ISBN or whatever you know about the book) to Bob Hoffman (or Rill Hoffman) at bob@bookworm.com.au. We will let you know if the book is in print and if we can get it for you.
For out of print books, we recommend BiblioQuest International, Australia's leading search service for out-of-print and collectible books. They will check bookshops throughout Australia and the rest of the world if necessary.


text:
Surrey Police names men charged following A3 crash near Painshill
The southbound A3 was closed following the crash
Tom SmurthwaiteContent editor
Emergency services at the scene of the crash on Friday (August 14) (Image: Edwin Klein)
Two men have been charged following a car crash on the A3.
Officers from Surrey Police closed a section of the southbound A3 between Esher and Cobham at around 2pm on Friday (August 14) following the crash.
A picture from the scene shows a car nestling by the central reservation with several police vehicles in attendance.
Following three arrests in connection with the incident, on Monday (August 17) police say that two men have been charged.
Michael Casey, 19, of Thurcaston Road in Leicester, and Martin Geordie Mcdonagh, 19, of Queen Victoria Street in Blackburn, have been charged with multiple offences, including:
four counts of theft from a motor vehicle;
one count of going equipped for theft; and
one count of conspiracy to steal from a motor vehicle.
Police say that both men appeared at Guildford Crown Court on Monday afternoon, and have been remanded in custody until Monday, September 14.
A 22-year-old man from Leicester who was arrested in connection with the incident remains under investigation while he is in hospital recovering from minor injuries.
Police say officers are still investigating after they received a number of reports of catalytic converter thefts from cars parked at Woking Leisure Centre and the Spectrum Leisure Centre in Guildford on Friday.
Find out how you can get more news from SurreyLive straight to your inbox HERE.
Anyone with information is asked to contact police quoting reference number PR/P20188022 via webchat, online or by calling 101.
Alternatively, call Crimestoppers anonymously on 0800 555 111.
Surrey Police


text:
PrimaryDocuments.ca
A searchable database of historical documents relating to the drafting and adoption of the Constitution of Canada.
Search the Constitution (1867)
Documents on Order
Documents Cited by the Supreme Court
Canada, House of Commons Debates, "Right to Speak—Call for Condemnation of Prime Minister", 32nd Parl, 1st Sess (24 October 1980)
By: Canada (Parliament)
Citation: Canada, House of Commons Debates, 32nd Parl, 1st Sess, 1980 at 4056.
Other formats: Click here to view the original document (PDF).
RIGHT TO SPEAK—CALL FOR CONDEMNATION OF PRIME MINISTER MOTION UNDER S.O. 43
Mr. Dave Nickerson (Western Arctic): Madam Speaker, whereas probably the most important right enjoyed, at least prior to this date, by Canadians has been the right to be beard through their elected representatives in Parliament on important national issues; and whereas the Prime Minister (Mr. Trudeau) has violated this basic constitutional right through the insidious and odious use of closure on, of all matters, the constitutional debate, I move, seconded by the hon. member for St. Catharines (Mr. Reid) and ail the other members who were denied the right to speak:
That this House condemns the Prime Minister for bis wanton abuse of the time-honoured rights and ancient privileges of Parliament.
Some hon. Members: Hear, hear!
Madam Speaker: For presentation, this motion requires the unanimous consent of the House. Is there unanimous consent?
Debates, Government Documents, House of Commons Debates
Canada, House of Commons Debates, "Opportunity for Members to Make Representations to Joint Committee", 32nd Parl, 1st Sess (24 October 1980)
Canada, House of Commons Debates, "Right of Members to Heard in Joint Committee", 32nd Parl, 1st Sess (24 October 1980)
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text:
NYC Top Comedy Choices for Monday 1/25/16
Top stand-up Myq Kaplan is hilarious as he reveals secrets about his past involving violins, Robin Hood, linguistics, broken goblets, master's degrees, improv, Carnegie Hall, finding pennies, and much more in this second episode of my career interviews podcast.
Naomi Ekperigin (dynamite rising star stand-up; writer for Comedy Central's Broad City and Hulu's Difficult People; MTV, VH1, FX)…
…and Matteo Lane (Comedy Central, MTV's Guy Code & Girl Code, host of Chemistry) each perform deliciously long 30-minute sets at Stand-Up Spotlight (6:30 pm, $5, UCB East at 153 East 3rd Street)
More recommendations for the best in New York City comedy tonight
(in chronological order, with top picks noted and shows over $10 marked with $) include:
[FREE] 6:00 pm to midnight: Six free hours of improvisation at The PIT downstairs lounge: Super Free Monday
[TOP PICK] 7:00 pm ($5): David Carl creates a full-blown Republican Presidential Debate—playing all the candidates himself!—at The PIT upstairs theatre (123 East 24th Street): Road to the White House
[TOP PICK] [$] 7:30 pm, 9:30 pm, and 11:30 pm ($12 plus 2-item food/drink min.): Some of the finest stand-ups in the country spread among four shows at Comedy Cellar (117 MacDougal Street, between 3rd Street & Minetta Lane) and a 7:30 pm show at Village Underground (130 West 3rd Street, off Sixth Avenue): Comedy Cellar Monday
[TOP PICK] [FREE] 7:30 pm: Michelle Wolf (star stand-up who's also staff writer for and performer on Seth Meyers; MTV's Girl Code, IFC), Sean Donnelly (David Letterman, Comedy Central Half Hour, Last Comic Standing, MTV), Gary Richardson (Annoyance Theatre, co-host of $$$), Robert Dean, Emma Willmann, and Caroline Cotter performing stand-up or sketch at Pianos (158 Ludlow Street) booked by Tovah Silbermann, produced by Jane Clausen, and hosted by Yoni Lotan & Mark Vigeant: The Loud Boys Show: Michelle Wolf, Sean Donnelly, Gary Richardson, and More
[MEGA-TOP PICK] 8:00 pm ($5; sold out of seats, but you can probably get in if you don't mind standing): Top improvisors and Broadway & TV stars—tonight including Rachel Dratch, Cady Huffman, Brian Stack, and Tami Sagher—crash improv into classic theatre scenes at UCB Chelsea for actor/director Stephen Ruddy's Gravid Water
[TOP PICK] 8:00 pm ($8): Sean Patton (one of the finest stand-ups in the country; killer sets on Jimmy Fallon and Conan O'Brien, Comedy Central Half Hour, VH1, feature film Wifed Out; co-host of Esquire Network's Best Bars in America; frequent guest host of Whiplash), Chris Lamberth, Mo Mandel, and Megan Gailey performing stand-up at Brooklyn's Littlefield (622 Degraw Street) hosted by Aparna Nancherla (one of the finest stand-ups in the country; writer for Late Night with Seth Meyers; Conan O'Brien, Comedy Central's Meltdown, Last Comic Standing, @midnight, Totally Biased, opens for Tig Notaro; hosts top weekly NYC stand-up show Whiplash): Night Train
[TOP PICK] 8:00 ($5): Michelle Wolf (star stand-up who's also staff writer for and performer on Seth Meyers; MTV's Girl Code, IFC), Naomi Ekperigin (dynamite rising star stand-up; writer for Comedy Central's Broad City and Hulu's Difficult People; MTV, VH1, FX), Claudia Cogan (Last Comic Standing, MTV, Logo, here! TV), and Joyelle Johnson performing stand-up and/or being interviewed at UCB East hosted by the memorable Katie Kester: The Later Show
[TOP PICK] 8:00 pm ($5): Comics share extreme opinions about the new Star Wars: The Force Awakens movie at The PIT upstairs theatre (123 East 24th Street): The Great Star Wars Debate
[TOP PICK] 8:00 pm ($10): Jamie Kilstein (Conan O'Brien, CNN, MSNBC, Showtime; The Huffington Post; co-hosts Citizen Radio) performs a long stand-up set, plus a feminist band founded in Baltimore performs punk rock, at Brooklyn's Union Hall at 702 Union Street; take R subway to Union Street): Jamie Kilstein and the Agenda and War on Women
[FREE] 8:00 pm: Four improvisers form teams with comics they've never performed with before at The Creek upstairs theatre in Queens' Long Island City: The Kaleidoscope
8:30 pm ($10): A safe place to try out new material, with tonight's stand-ups TBA at Astoria Queens' QED: A Place to Show & Tell (27-16 23rd Avenue) hosted by Christian Finnegan (Conan O'Brien, co-star of TBS' Are We There Yet?; three Comedy Central specials; MSNBC, VH1's Best Week Ever, Chappelle's Show, The Today Show): New Release Day with Christian Finnegan
[FREE] 8:30 pm: Indie improv groups playfully make stuff up for this weekly show at Brooklyn's Legion Bar (790 Metropolitan Avenue): No Parents
[TOP PICK] 9:30 pm ($5): Two UCB Chelsea house sketch groups try out new material: Maude Night: Hot Bird and Pretty Boys
9:30 pm ($5): Improv veterans Brandon Gardner, Chelsea Clarke, Phil Jackson, and/or Steve Theiss hosting & performing in a show at UCB East with guest improvisors: Improv Nerds
[TOP PICK] [FREE] 10:00 pm: Dan St. Germain, Gary Vider, Bonnie McFarlane, Derek Gaines, and more perform stand-up at one of the best comedy clubs in NYC, The Stand (239 Third Avenue off 20th Street), at absolutely no charge (feel encouraged to order food and//or drinks, but you don't have to) hosted by Aaron Berg (TV series 24 Hour Rental, documentary A Universal Language): Frantic Mondays
[FREE] 10:00 pm: A monthly stand-up show covering "UrbanAlternative comedy, with a mix of comedians calling out the absurd facets of dealing with life in the concrete jungle" at The Creek upstairs theatre in Queens' LIC (10-93 Jackson Avenue) hosted by Tiana Miller & Dee Marie: Gentrification
10:15 pm ($7): Improv is dominated by guys, so this is a rare treat—a dozen female improvisors "for an evening of comedy that will delight men, women, babies, and kittens," hosted by Megan Gray at The Magnet theatre: We Might Just Kiss
[MEGA-TOP PICK] [FREE] 11:00 pm: Some of the finest comics in the world-who aren't announced in advance, but it's usually a great lineup and often an extraordinary one—at UCB Chelsea hosted by Aparna Nancherla (one of the best stand-ups in the country; writer for Late Night with Seth Meyers; Conan O'Brien, @Midnight, Last Comic Standing). Reservations go quickly, but you can probably get in if you arrive early and are okay with standing: Whiplash
Monday Open Mics & Jams
4:40 pm-7:00 pm ($5 plus 1 drink min., with drinks as low as $2): Walk-in stand-up open mic with two rounds, the first providing 5-6 minutes per set and the second 2-3 minutes per set, at The Grisly Pear (107 MacDougal Street) hosted by Tuval Mor: Kickin It Open Mic
5:00 pm ($5): Two-hour open-mic for 20 stand-ups performing for 5 minutes each, with sign-up online here, at the Stand Up NY Comedy Club (236 West 78th Street): Stand Up NY Open Mic
[FREE] 6:00 pm: Open mic stand-up show that provides each performer whose name is pulled from a bucket 3 minutes on stage. Arrive at around 5:45 to sign up, or wait for the late bucket at 6:15, to perform at The Creek downstairs lounge in Queens' LIC (10-93 Jackson Avenue) hosted by Matt Anderson: First Stop Open Mic
6:00 pm & 8:00 pm (no cover, 1 drink min. for both comics and audience members): Open mic stand-up providing 5-7 minutes per comic, with each show running 1 hour and 45 minutes. Arrive 30 minutes before the show you want to be in to get on the signup sheet. This is a fine opportunity to perform at the only comedy club in the East Village: Eastville Comedy Club Open Mic
[FREE] 6:30 pm: Weekly stand-up open mic (with sign-up starting at 6:00) at People's Republic of Brooklyn (247 Smith Street) hosted by Dustin Drury: This Is Happening Open MIc
7:30 pm ($10; sign-up starts at 7:00 pm): Open mic for stand-ups, storytellers, singers, poets, actors, and more, with 5 minutes per performer and 25 slots available, at The Parkside Lounge (317 East Houston Street, off Avenue B) hosted by Nathan P., followed by a raucous afterparty with dancing & drink specials from 10:00 to midnight: Inspired Word's Open Mic Joint
[FREE] 10:30 pm: Improv veterans Brandon Gardner, Chelsea Clarke, and Phillip Jackson hosting & performing in a show at UCB East with improvisors taken from the audience…and who may include you: Improv Nerds Jam
11:00 pm ($3): Open mic stand-up, with each comic getting 5 minutes and room for 15 comics who sign up per show, at The PIT upstairs theatre hosted by John Field: The Power Exchange
[FREE] 11:00 pm: Improv students are welcomed onto the stage at The PIT downstairs lounge for this weekly open access show hosted by Gary DeNoia & Langston Belton: Base Jam
[FREE] 11:00 pm: Open mic stand-up show that provides each performer whose name is pulled from a bucket 4 minutes on stage at The Creek upstairs lounge in Queens' Long Island City hosted by Joseph Robert: PBR & Scrap Paper Open Mic Stand-Up
For tomorrow's top comedy picks, please click here.
For many more shows, please click the following links to top NYC comedy venues:
(307 West 26th Street; 150-seater; one of the most respected comedy theatres in the world; especially strong on improv, sketch, solo shows, and one-act comedic plays; shows free-$10)
(153 East 3rd Street; 99-seater; a top comedy venue that focuses more than sister theatre UCB Chelsea on stand-up and screenings, and on experimental shows taking big risks; shows free-$10)
The PIT Striker (Upstairs) Theatre
(123 East 24th Street; 99-seater; a top venue that's a powerful rival of UCB, and often surpasses UCB when blending comedy with music and/or theatricality; shows free-$20)
The PIT Underground (Downstairs) Theatre
(123 East 24th Street; 40-seater; often more quirky & experimental than upstairs Striker; shows free-$10)
The PIT Loft
(154 West 29th Street; 50-seater; not at the level of its two sister PIT theatres, but evolving; shows free-$10)
(254 West 29th Street; 60-seat theatre; strong on improv, musical improv, sketch, and energy; shows $5-$10)
The Annoyance Theatre
(367 Bedford Ave. in Brooklyn; J/M/Z to Marcy or L to Lorimer; 50-seat theatre; spinning off from Chicago's Annoyance Theatre, brings a fiercely fresh, experimental approach to improv and sketch; shows free-$10)
(702 Union Street in Brooklyn; R to Union Street; 50-seat theatre; shows $5-$20)
Littlefield
(622 Degraw Street in Brooklyn; R to Union Street; 100-seat theatre; shows $5-$20)
(149 7th Street in Brooklyn; R to 9th Street or F/G to Fourth Ave.; 200-seat theatre; shows $10-$25)
QED: A Place to Show & Tell
(27-16 23rd Avenue in Astoria Queens; N/Q to Ditmars Boulevard; 40-seat theatre; shows free-$10)
Village Underground
(130 West 3rd Street; Comedy Cellar's larger sister venue, just around the corner with the same top comics; 2-item min.)
The Standing Room
(4738 Vernon Blvd., by #7 train; Queens LIC club; no drink min.—support this policy!)
Other NYC Live Shows, Heavily Marked Down via Goldstar:
Click Any Image That Interests You to See the Discount Offer
From legendary NYC comedy site Brooklyn Vegan: Thank God for Hy Bender's religiously updated show bible BestNewYorkComedy.com…It must be exhausting keeping that monster of a website alive. It is your daily comedy itinerary and it scares me how on top of his shit this guy is.
Please feel encouraged to reach out to tell me about comedy shows, submit material to my short story anthology Ghosts on Drugs, hire me for book or screenplay work, or for any other reason by emailing me at hy@hyreviews.com.
Leave a Comment »	| Best New York Live Comedy Shows	| Tagged: Live Comedy shows in NYC tonight, Matteo Lane, Naomi Ekperigin, New York Comedy, NYC Comedy, NYC Improv, NYC Sketch, NYC Stand-Up, NYC Storytelling	| Permalink
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The WPC 2019 Video Competition had 69 submissions from all over the world and was tough on the judges who watched these submissions and narrowed down to the Top 12 Videos that you see listed below! While the judges selected a Grand Prize winner to be announced at the WPC 2019 Opening Ceremony on Tuesday, June 4, 2019, we need YOUR help in selecting the WPC People's Choice Award.
The video that is selected as the People's Choice Award will also be shown at the opening ceremony.


Ocean Beach shows its spot at the beach with a glimpse of the famous pier and main Lifeguard Tower. If you've been to Ocean Beach in San Diego you know the laid back lifestyle is in full effect. 3-color screen print on 80lb smooth matte stock. 7" x 5" folded, blank inside, white envelope included.


text:
\section{Introduction}
\noindent
{\bf A. The Modularity Theorem} asserts  that:

\medskip\hskip2cm
{\it All rational elliptic curves arise from modular forms.}

\medskip\noindent
This  result  is tremendously important,  since it leads to a spectacular
proof of  Fermat's Last Theorem.   The reader  of the excellent book \cite{DS} on the Modularity
Theorem  will find on page (x) of the introduction the following interesting object.
(We shall modify  the original text to match  our notation, which can be found
in Section 2.)
Denote by $f_N\in S_2(\Gamma_0(N))$ a Hecke eigenform and by $f_N^{\sigma}$ all its
conjugates;  consider a lattice $\Lambda_{f_N}$ generated by the complex periods
of holomorphic forms $\omega_N^{\sigma}=f_N^{\sigma}dz$ on the Riemann surface
 $X_0(N)={\Bbb H}^*/\Gamma_0(N)$.  If $|\sigma|$ is the number of conjugates,
the abelian variety  ${\cal A}_{f_N}:={\Bbb C}^{|\sigma|}/\Lambda_{f_N}$ is said to be {\it associated}
to the eigenform $f_N$; it has the following remarkable property (the Modularity
Theorem):

\medskip\hskip0.5cm
{\it There exists a homomorphism of ${\cal A}_{f_N}$ onto a rational elliptic curve.}

\medskip\noindent
Let $\phi_N=\Re~(\omega_N)$ be the real part
of $\omega_N$; it is a closed form on the surface $X_0(N)$.
(Alternatively, one can take for $\phi_N$ the  imaginary part of $\omega_N$.)
Clearly, $\omega_N$ defines a unique form $\phi_N$;  the converse follows from the
Hubbard-Masur Theorem \cite{HuMa1}.  Since $\omega_N$ and $\phi_N$
define each other,  what object will replace the associated variety ${\cal A}_{f_N}$
in the case of $\phi_N$?
Roughly speaking, it is shown in this paper  that such a replacement is given
by an operator algebra ${\goth A}_{f_N}$ coming  from  the  real  periods of the form $\phi_N$;
we study the basic properties of such an algebra (Theorem \ref{thm1}).

\medskip\noindent
{\bf B. The AF-algebra  ${\goth A}_{f_N}$.}
Let $f\in S_2(\Gamma_0(N))$ be a cusp form and $\omega=fdz$
the corresponding holomorphic differential on $X_0(N)$.  We shall
denote by $\phi=\Re~(\omega)$  a  closed  form on $X_0(N)$
and  consider its periods $\lambda_i=\int_{\gamma_i}\phi$
against  a basis $\gamma_i$  in  the (relative) homology group
$H_1(X_0(N), Z(\phi); ~{\Bbb Z})$,  where $Z(\phi)$ is the set of zeros of $\phi$.
Assume $\lambda_i> 0$ and consider the vector $\theta=(\theta_1,\dots,\theta_{n-1})$
with $\theta_i=\lambda_{i+1} / \lambda_1$. The Jacobi-Perron continued fraction of
$\theta$ (\cite{BE}) is given by the formula:
$$
\left(\matrix{1\cr \theta}\right)=
\lim_{i\to\infty} \left(\matrix{0 & 1\cr I & b_1}\right)\dots
\left(\matrix{0 & 1\cr I & b_i}\right)
\left(\matrix{0\cr {\Bbb I}}\right)=
\lim_{i\to\infty} B_i\left(\matrix{0\cr {\Bbb I}}\right),
$$
where $b_i=(b^{(i)}_1,\dots, b^{(i)}_{n-1})^T$ is a vector of  non-negative integers,
$I$ is the unit matrix and ${\Bbb I}=(0,\dots, 0, 1)^T$.
By ${\goth A}_{f}$ we shall understand  the  AF-algebra
given its  Bratteli diagram  with  partial multiplicity matrices $B_i$.
Recall  that an  AF-algebra is called  {\it stationary}  if $B_i=B=$ Const \cite{E}.
When two non-similar matrices $B$ and $B'$ have the same characteristic polynomial,
the corresponding stationary AF-algebras will be called   {\it companion AF-algebras}.
Denote by ${\goth A}_{f_N}$  an AF-algebra, such that  $f_N\in S_2(\Gamma_0(N))$
is a Hecke eigenform. Our main result can be stated  as follows.
\begin{thm}\label{thm1}
The AF-algebra  ${\goth A}_{f_N}$ is stationary  unless $f_N$ is a rational eigenform,
in which case ${\goth A}_{f_N}\cong {\Bbb C}$; moreover,  ${\goth A}_{f_N}$ and  ${\goth A}_{f_N^{\sigma}}$
are companion AF-algebras.
\end{thm}
The paper is organized as follows. The minimal preliminary results are
expounded in Section 2, where  we introduce the Hecke eigenforms, the AF-algebras
and the Jacobi-Perron continued fractions.  Theorem \ref{thm1} is proved in Section 3.

\section{Preliminaries}
{\bf A. The Hecke eigenforms.}
Let $N>1$ be a natural number and  consider a (finite index) subgroup
of the modular group given by the formula:
$$
\Gamma_0(N) = \left\{\left(\matrix{a & b\cr c & d}\right)\in SL(2,{\Bbb Z})~|~
c\equiv 0~\hbox{\bf mod} ~N\right\}.
$$
Let ${\Bbb H}=\{z=x+iy\in {\Bbb C} ~|~ y>0\}$ be the upper half-plane  and
let $\Gamma_0(N)$  act on ${\Bbb H}$  by the linear fractional
transformations;  consider an orbifold  ${\Bbb H}/\Gamma_0(N)$.
To compactify the orbifold
at the cusps, one adds a boundary to ${\Bbb H}$,  so that
${\Bbb H}^*={\Bbb H}\cup {\Bbb Q}\cup\{\infty\}$ and the compact Riemann surface
$X_0(N)={\Bbb H}^*/\Gamma_0(N)$ is called a {\it modular curve}.
The meromorphic functions $f(z)$ on ${\Bbb H}$ that
vanish at the cusps and such that
$$
f\left({az+b\over cz+d}\right)={1\over (cz+d)^2}f(z),\qquad
\forall \left(\matrix{a & b\cr c & d}\right)\in\Gamma_0(N),
$$
are  called  {\it cusp forms} of weight two;  the (complex linear) space of such forms
will be denoted by $S_2(\Gamma_0(N))$.  The formula $f(z)\mapsto \omega=f(z)dz$
defines an isomorphism  $S_2(\Gamma_0(N))\cong \Omega_{hol}(X_0(N))$, where
$\Omega_{hol}(X_0(N))$ is the space of holomorphic differentials
on the Riemann surface $X_0(N)$.  Note that
\linebreak
$\dim_{\Bbb C}(S_2(\Gamma_0(N))=\dim_{\Bbb C}(\Omega_{hol}(X_0(N))=g$,
where $g=g(N)$ is the genus of the surface $X_0(N)$.
A Hecke operator, $T_n$, acts on $S_2(\Gamma_0(N))$ by the formula
$T_n f=\sum_{m\in {\Bbb Z}}\gamma(m)q^m$, where
$\gamma(m)= \sum_{a|\hbox{\bf GCD}(m,n)}a c_{mn/a^2}$ and
$f(z)=\sum_{m\in {\Bbb Z}}c(m)q^m$ is the Fourier
series of the cusp form $f$ at $q=e^{2\pi iz}$.  Further,  $T_n$ is a
self-adjoint linear operator on the vector space $S_2(\Gamma_0(N))$
endowed with the Petersson inner product;  the algebra
${\Bbb T}_N :={\Bbb Z}[T_1,T_2,\dots]$ is a commutative algebra.
Any cusp form $f_N\in S_2(\Gamma_0(N))$ that is an eigenvector
for one (and hence all) of $T_n$, is referred  to
as a {\it Hecke eigenform}; such an  eigenform is called
{\it rational}  whenever its Fourier coefficients $c(m)\in {\Bbb Z}$.
The Fourier  coefficients $c(m)$ of $f_N$ are algebraic integers,  and we
denote by ${\Bbb K}_{f_N}={\Bbb Q}(c(m))$ an extension of the field ${\Bbb Q}$
by the Fourier coefficients of $f_N$. Then ${\Bbb K}_{f_N}$
is a real algebraic number field of degree $1\le \deg~({\Bbb K}_{f_N} / {\Bbb Q})\le g$,
where $g$ is the genus of the surface $X_0(N)$ \cite{DS}, Proposition 6.6.4.
Any embedding $\sigma: {\Bbb K}_{f_N}\to {\Bbb C}$ conjugates $f_N$ by acting
on its coefficients;  we write the corresponding Hecke  eigenform
$f_N^{\sigma}(z):=\sum_{m\in {\Bbb Z}}\sigma(c(m))q^m$.

\medskip\noindent
{\bf B. The AF-algebras.}
A {\it $C^*$-algebra} is an algebra $A$ over ${\Bbb C}$ with a norm
$a\mapsto ||a||$ and an involution $a\mapsto a^*$ such that
it is complete with respect to the norm and $||ab||\le ||a||~ ||b||$
and $||a^*a||=||a^2||$ for all $a,b\in A$.
Any commutative $C^*$-algebra is  isomorphic
to the algebra $C_0(X)$ of continuous complex-valued
functions on some locally compact Hausdorff space $X$;
otherwise, $A$ represents a noncommutative  topological
space.
The $C^*$-algebras $A$ and $A'$ are said to be
{\it stably isomorphic} (Morita equivalent)  if
$A\otimes {\cal K}\cong A'\otimes {\cal K}$, where ${\cal K}$
is the $C^*$-algebra of compact operators;
roughly speaking,  stable isomorphism
means that $A$ and $A'$ are
homeomorphic as noncommutative topological spaces.

An {\it AF-algebra}  (Approximately Finite $C^*$-algebra) is defined to
be the  norm closure of an ascending sequence of   finite dimensional
$C^*$-algebras $M_n$,  where  $M_n$ is the $C^*$-algebra of the $n\times n$ matrices
with entries in ${\Bbb C}$. Here the index $n=(n_1,\dots,n_k)$ represents
the  semi-simple matrix algebra $M_n=M_{n_1}\oplus\dots\oplus M_{n_k}$.
The ascending sequence mentioned above  can be written as
$M_1\buildrel\rm\varphi_1\over\longrightarrow M_2
   \buildrel\rm\varphi_2\over\longrightarrow\dots,
$
where $M_i$ are the finite dimensional $C^*$-algebras and
$\varphi_i$ the homomorphisms between such algebras.
The homomorphisms $\varphi_i$ can be arranged into  a graph as follows.
Let  $M_i=M_{i_1}\oplus\dots\oplus M_{i_k}$ and
$M_{i'}=M_{i_1'}\oplus\dots\oplus M_{i_k'}$ be
the semi-simple $C^*$-algebras and $\varphi_i: M_i\to M_{i'}$ the  homomorphism.
One has  two sets of vertices $V_{i_1},\dots, V_{i_k}$ and $V_{i_1'},\dots, V_{i_k'}$
joined by  $b_{rs}$ edges  whenever the summand $M_{i_r}$ contains $b_{rs}$
copies of the summand $M_{i_s'}$ under the embedding $\varphi_i$.
As $i$ varies, one obtains an infinite graph called the  {\it Bratteli diagram} of the
AF-algebra.  The matrix $B=(b_{rs})$ is known as  a {\it partial multiplicity matrix};
an infinite sequence of $B_i$ defines a unique AF-algebra.

For a unital $C^*$-algebra $A$, let $V(A)$
be the union (over $n$) of projections in the $n\times n$
matrix $C^*$-algebra with entries in $A$;
projections $p,q\in V(A)$ are {\it equivalent} if there exists a partial
isometry $u$ such that $p=u^*u$ and $q=uu^*$. The equivalence
class of projection $p$ is denoted by $[p]$;
the equivalence classes of orthogonal projections can be made to
a semigroup by putting $[p]+[q]=[p+q]$. The Grothendieck
completion of this semigroup to an abelian group is called
the  $K_0$-group of the algebra $A$.
The functor $A\to K_0(A)$ maps the category of unital
$C^*$-algebras into the category of abelian groups, so that
projections in the algebra $A$ correspond to a positive
cone  $K_0^+\subset K_0(A)$ and the unit element $1\in A$
corresponds to an order unit $u\in K_0(A)$.
The ordered abelian group $(K_0,K_0^+,u)$ with an order
unit  is called a {\it dimension group}; an order-isomorphism
class of the latter we denote by $(G,G^+)$.

\medskip\noindent
{\bf C. The Jacobi-Perron fractions.}
Let $a_1,a_2\in {\Bbb N}$ such that $a_2\le a_1$. Recall that the greatest common
divisor of $a_1,a_2$, $\hbox{\bf GCD}(a_1,a_2)$, can be determined from the Euclidean algorithm:
$$
\left\{
\begin{array}{cc}
a_1 &= a_2b_1 +r_3\nonumber\\
a_2 &= r_3b_2 +r_4\nonumber\\
r_3 &= r_4b_3 +r_5\nonumber\\
\vdots & \nonumber\\
r_{k-3} &= r_{k-2}b_{k-1}+r_{k-1}\nonumber\\
r_{k-2} &= r_{k-1}b_k,
\end{array}
\right.
$$
where $b_i\in {\Bbb N}$ and $\hbox{\bf GCD}(a_1,a_2)=r_{k-1}$.
The Euclidean algorithm can be written as the regular continued
fraction
$$
\theta={a_1\over a_2}=b_1+{1\over\displaystyle b_2+
{\strut 1\over\displaystyle +\dots+ {1\over b_k}}}
=[b_1,\dots b_k].
$$
If $a_1, a_2$ are non-commensurable  in the sense that $\theta\in {\Bbb R}-{\Bbb Q}$,
then the Euclidean algorithm never stops,  and $\theta=[b_1, b_2, \dots]$. Note that the regular
continued fraction can be written in  matrix form
$$
\left(\matrix{1\cr \theta}\right)=
\lim_{k\to\infty} \left(\matrix{0 & 1\cr 1 & b_1}\right)\dots
\left(\matrix{0 & 1\cr 1 & b_k}\right)
\left(\matrix{0\cr 1}\right).
$$
The Jacobi-Perron algorithm and connected (multidimensional) continued
fraction generalizes the Euclidean algorithm to the case $\hbox{\bf GCD}(a_1,\dots,a_n)$
when $n\ge 2$. Namely, let $\lambda=(\lambda_1,\dots,\lambda_n)$,
$\lambda_i\in {\Bbb R}-{\Bbb Q}$ and  $\theta_{i-1}={\lambda_i\over\lambda_1}$, where
$1\le i\le n$.   The continued fraction
$$
\left(\matrix{1\cr \theta_1\cr\vdots\cr\theta_{n-1}} \right)=
\lim_{k\to\infty}
\left(\matrix{0 &  0 & \dots & 0 & 1\cr
              1 &  0 & \dots & 0 & b_1^{(1)}\cr
              \vdots &\vdots & &\vdots &\vdots\cr
              0 &  0 & \dots & 1 & b_{n-1}^{(1)}}\right)
\dots
\left(\matrix{0 &  0 & \dots & 0 & 1\cr
              1 &  0 & \dots & 0 & b_1^{(k)}\cr
              \vdots &\vdots & &\vdots &\vdots\cr
              0 &  0 & \dots & 1 & b_{n-1}^{(k)}}\right)
\left(\matrix{0\cr 0\cr\vdots\cr 1} \right),
$$
where $b_i^{(j)}\in {\Bbb N}\cup\{0\}$, is called the {\it Jacobi-Perron
algorithm (JPA)}. Unlike the regular continued fraction algorithm,
the JPA may diverge for certain vectors $\lambda\in {\Bbb R}^n$. However,
for points of a generic subset of ${\Bbb R}^n$, the JPA converges \cite{Bau1};
in particular, the JPA for periodic fractions is always convergent.

\section{Proof of theorem \ref{thm1}}
 A standard dictionary (\cite{E}) between AF-algebras and their
dimension groups is adopted.  Instead of dealing with ${\goth A}_f$, we work with its dimension group
$G_{{\goth A}_f}=(G, G^+)$, where $G\cong {\Bbb Z}^n$ is the lattice and
$G^+=\{(x_1,\dots, x_n)\in {\Bbb Z}^n~|~\theta_1x_1+\dots+\theta_{n-1} x_{n-1}+ x_n\ge 0\}$
is a positive cone.  Recall, that  $G_{{\goth A}_f}$ is  abelian group with an order, which
defines the AF-algebra ${\goth A}_f$,  up to a stable isomorphism.
We arrange the proof in a series of lemmas. First, let us show,  that
${\goth A}_f$  is a correctly-defined AF-algebra.
\begin{lem}\label{lm1}
The ${\goth A}_f$ does not depend, up to a stable isomorphism,  on
a basis in $H_1(X_0(N), Z(\phi); ~{\Bbb Z})$.
\end{lem}
{\it Proof.}
Denote by ${\goth m}:= {\Bbb Z}\lambda_1+\dots+{\Bbb Z}\lambda_n$
a ${\Bbb Z}$-module in the real line ${\Bbb R}$. Let $\{\gamma_i'\}$ be a new basis
in $H_1(X_0(N), Z(\phi); {\Bbb Z})$, such that $\gamma_i'=\sum_{j=1}^na_{ij}\gamma_j$
for  matrix $A=(a_{ij})\in \hbox{\bf GL}_n({\Bbb Z})$. Using the integration rules, one gets:
$\lambda_i'  = \int_{\gamma_i'}\phi = \int_{\sum_{j=1}^na_{ij}\gamma_j}\phi=
 \sum_{j=1}^n\int_{\gamma_j}\phi  = \sum_{j=1}^na_{ij}\lambda_j$.
Thus, ${\goth m}'={\goth m}$ and a  change of basis in the homology group
$H_1(X_0(N), Z(\phi); {\Bbb Z})$ amounts to a change of basis in the module
${\goth m}$. It is an easy exercise to show  that there exists a linear transformation of ${\Bbb Z}^n$
sending the positive cone $G^+$ of $G_{{\goth A}_f}$ to the positive cone $(G^{+})'$ of
$G_{{\goth A}_f'}$.  In other words, ${\goth A}_f'$ and  ${\goth A}_f$ are stably isomorphic.
$\square$

\begin{lem}\label{lm2}
The (scaled) periods $\lambda_i$ belong to the field ${\Bbb K}_{f_N}$.
\end{lem}
{\it Proof.}
Let ${\goth m}={\Bbb Z}\lambda_1+\dots+{\Bbb Z}\lambda_{2g}$ be a
${\Bbb Z}$-module generated by $\lambda_i$;  we seek  the
effect of the Hecke operators $T_m$ on ${\goth m}$.  By the
definition of a Hecke eigenform, $T_mf_N=c(m)f_N$ for all $T_m\in {\Bbb T}_N$.
In view of the isomorphism $S_2(\Gamma_0(N))\cong \Omega_{hol}(X_0(N))$,
one gets $T_m\omega_N=c(m)\omega_N$, where  $\omega_N=f_N dz$. Then
$\Re~(T_m\omega_N)=T_m(\Re~(\omega_N))=\Re~(c(m)\omega_N)=c(m)  \Re~(\omega_N)$.
Therefore, $T_m\phi_N=c(m)\phi_N$, where $\phi_N=\Re~(\omega_N)$. The action of $T_m$
on ${\Bbb Z}$-module ${\goth m}$ can be written as
$T_m({\goth m})=\int_{H_1}T_m\phi_N=\int_{H_1}c(m)\phi_N=c(m) {\goth m}$,
where $H_1:= H_1(X_0(N), Z(\phi_N); {\Bbb Z})$.  Thus, the Hecke operator $T_m$
acts  on the module ${\goth m}$ as multiplication by an algebraic
integer $c(m)\in {\Bbb K}_{f_N}$.

The action of $T_m$ on ${\goth m}={\Bbb Z}\lambda_1+\dots+{\Bbb Z}\lambda_n$
can be written as $T_m\lambda=c(m)\lambda$, where $\lambda=(\lambda_1,\dots,\lambda_n)$;
thus, $T_m$ is a linear operator (on the space ${\Bbb R}^n$), whose eigenvector $\lambda$
corresponds to the eigenvalue $c(m)$. It is an easy exercise in linear algebra  that
$\lambda$ can be scaled so that all $\lambda_i$ lie in the same field as $c(m)$;
lemma \ref{lm2} follows.
$\square$

\bigskip
{\sf Case I.}
Let $f_N$ be not a  rational eigenform; then
$n=\deg~({\Bbb K}_{f_N}/{\Bbb Q})\ge 2$.  Note,  that
${\goth m}={\Bbb Z}\lambda_1+\dots+{\Bbb Z}\lambda_n$ is a full (i.e. the maximal
rank) ${\Bbb Z}$-module in the number field ${\Bbb K}_{f_N}$.
Indeed, $\hbox{\bf rank} ~({\goth m})$ cannot exceed $n$, since ${\goth m}\subset {\Bbb K}_{f_N}$
and ${\Bbb K}_{f_N}$ is a vector space (over ${\Bbb Q}$) of dimension $n$.
On the other hand, $(\lambda_1,\dots,\lambda_n)$ is a basis of the field ${\Bbb K}_{f_N}$
and, as such, $\hbox{\bf rank}~({\goth m})$ cannot be less than $n$; thus, $\hbox{\bf rank}~({\goth m})=n$.
\begin{lem}\label{lm3}
The vector $(\lambda_1,\dots,\lambda_n)$ has a  periodic (Jacobi-Perron) continued fraction.
\end{lem}
{\it Proof.}
Since ${\goth m}\subset {\Bbb K}_{f_N}$ is a full ${\Bbb Z}$-module,
its endomorphism ring $\hbox{\bf End}~({\goth m})=\{\alpha\in {\Bbb K}_{f_N} : \alpha {\goth m}\subseteq {\goth m}\}$
is an order (a subring of the ring of integers) of the number field ${\Bbb K}_{f_N}$;  let $u$ be a unit of
 the order \cite{BS}, p 112.  The action of $u$ on ${\goth m}$ can be written in a matrix form
$A\lambda=u\lambda$, where $\lambda$ is a basis in ${\goth m}$ and $A\in\hbox{\bf GL}_n({\Bbb Z})$;
with no loss of generality,  one can assume the matrix $A$ to be non-negative in a proper basis
of ${\goth m}$.

According to \cite{Bau1}, Prop.3, the matrix $A$
can be uniquely factorized as
$A=\left(\small\matrix{0 & 1\cr I & b_1}\right)\dots\left(\matrix{0 & 1\cr I & b_k}\right)$,
where vectors $b_i=(b^{(i)}_1,\dots, b^{(i)}_{n-1})^T$ have  non-negative integer entries.
By \cite{Per1}, Satz XII, the periodic continued fraction
\begin{equation}\label{eq1}
\left(\matrix{1\cr \theta'}\right)=
\hbox{\bf Per}
~\overline{
 \left(\matrix{0 & 1\cr I & b_1}\right)\dots
\left(\matrix{0 & 1\cr I & b_k}\right)
}
\left(\matrix{0\cr {\Bbb I}}\right)
\end{equation}
converges to a vector $\lambda'=(\lambda_1',\dots,\lambda_n')$
which satisfies the equation $A\lambda'=u\lambda'$.
Since $A\lambda=u\lambda$, the vectors $\lambda$ and $\lambda'$ are collinear;
but collinear vectors have the same continued fractions \cite{BE}.
$\square$

\bigskip
The first case of Theorem \ref{thm1} follows from lemma \ref{lm3},
since ${\goth A}_{f_N}$ is a stationary  AF-algebra, whose period is given by the matrix
$A$.

\bigskip
{\sf Case II.}
Let $f_N$ be a rational eigenform; in this case $n=1$ and ${\Bbb K}_{f_N}={\Bbb Q}$.
The Bratteli diagram of ${\goth A}_{f_N}$ is finite and one-dimensional;
therefore, ${\goth A}_{f_N}\cong M_1({\Bbb C})={\Bbb C}$. This argument finishes the proof of
the first part of Theorem \ref{thm1}.

\bigskip
To prove the second part,
let on the contrary $A\ne A'$ be similar matrices. To find $S$ such that
$A'=S^{-1}AS$,  notice that   ${\goth m}^{\sigma}=\lambda_1^{\sigma}{\Bbb Z}+\dots+\lambda_n^{\sigma}{\Bbb Z}$.
Since ${\goth m}^{\sigma}={\goth m}$,  $\lambda_j^{\sigma}=\sum s_{ij}\lambda_i$, where $S=(s_{ij})$;
but $\sigma^k=$Id  for some integer $k$ and  thus $S^k=I$. Therefore, $(A')^k=(S^{-1}AS)^k=A^k$
and $A'=A$, which contradicts our assumption. On the other hand, $\lambda_j^{\sigma}\in {\Bbb K}_{f_N}$
implies that the characteristic polynomials $\hbox{\bf char}~(A)=\hbox{\bf char}~(A')$; therefore, ${\goth A}_{f_N}$ and ${\goth A}_{f_N^{\sigma}}$
are companion AF-algebras.
$\square$

\bigskip\noindent
{\sf Acknowledgments.}
I am grateful to Prof. ~Yu.~I.~Manin for helpful remarks and to Prof. ~D.~Solomon for
his interest;  Dr. L.~D.~Taylor kindly provided me with a copy of \cite{Tay1}.
I  thank the referee for prompt and thoughtful comments.

redpajama_set_name: RedPajamaArXiv


text:
As a pioneer in the aquaculture industry,
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Insect producer lands aquafeed sustainability certification
Feed ingredients Nutrition
French start-up InnovaFeed, which specializes in the production of high-quality insect meals for the aquaculture sector, has achieved Friend of the Sea (FoS) and Friend of the Earth (FoE) certifications.
The biotech company, which has its processing plant in Gouzeaucourt in Northern France, is a pioneer in the production of high-quality protein from black soldier flies (Hermetia illucens).
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China and Austria open joint animal nutrition laboratory in Beijing
16 Jan 2020 Sponsored
Leading animal nutrition company Biomin has recently opened a new China-Austria Joint Laboratory of Animal Nutrition in Beijing in cooperation with the Institute of Animal Sciences of the Chinese Academy of Agricultural …


text:
Logitech confirms no plans for new Google TV Revue after $100 million bath
Josh Ong | Nov 12, 2011
Logitech has confirmed that it has no plans to release a new Google TV-based Revue after implementation mistakes surrounding the device cost the company $100 million in operating profits.
Speaking at an Analyst and Investor Day earlier this week, Chief Executive Guerrino De Luca recounted the company's missteps that led to the Revue's failure, according to The Verge.
De Luca said Logitech had finally "brought closure to the Logitech Revue saga" with plans to clear out inventory this quarter. He candidly admitted that last year's holiday launch was "a mistake of implementation of a gigantic nature."
The executive laid some of the blame on Google for treating Google TV as beta software that could be iterated after launch. Logitech "executed a full scale launch with a beta product and it cost us dearly," De Luca said.
"To make the long story short, we thought we had invented [sliced] bread and we just made them. [We made a commitment to] just build a lot because we expected everybody to line up for Christmas and buy these boxes [at] $300 [...] that was a big mistake," the publication reported him as saying.
Logitech struggled to sell the Revue as reviewers dismissed the Google TV platform as a step "in the wrong direction." Journalist Walt Mossberg went so far as to label Google TV his second worst-reviewed product of 2010.
After "very modest sales" of the Revue early this year, the company decided to cut its losses and sell the device below cost for $99. At one point, returns from unhappy customers outweighed sales of the set-top box. Then CEO Gerald P. Quindlen was ousted because of a $29.6 million quarterly loss that the Revue was partly to blame for. All told, De Luca believes mistakes surrounding the Revue, combined with "operational miscues" in the EMEA region, cost Logitech "well over $100 million in operating profits."
Late last month, Google released an update to Google TV, adding improved support for the Android Market application store. The new version focused on making it more easy for users to "find something worth watching." The company first showed off Google TV last May.
On a more upbeat note, De Luca did express a belief that Google TV will eventually succeed at some point, but he said it would probably be a "grandchild" of the product. For now, Logitech is looking to learn from its mistakes and will sit "on the bench" while Google improves the platform.
The Revue's fate comes as another cautionary tale in the TV market. Apple co-founder Steve Jobs himself admitted that many others have tried and failed to find a viable market for set-top boxes.
"Ask Tivo, ask Replay TV, ask Roku, ask Vudu, ask us, ask Google in a few months," Jobs said last year before Google TV had even been released. According to him, the problem is that there are too many boxes, remotes, and individual interfaces involved in the living room.
"The only way that's ever going to change," Jobs said, "is if you can really go back to square one, tear up the set top box, redesign it from scratch with a consistent UI across all these different functions, and get it to consumers in a way that they're willing to pay for it. And right now there's no way to do that."
Recent indications suggest that Jobs found a way to do just that. He told his biographer during an interview that he had "cracked" the secret for an innovative interface on an Apple-branded television.
Apple has seen better than expected success with last year's $99 redesign of the Apple TV set-top box, but the device still remains a "hobby." However, according to one analyst, Apple's TV hobby could go "pro" if it incorporated iOS with Siri and FaceTime into a high-definition television set. Such a device could provide a significant new revenue stream for Apple, as the LCD TV market is expected to top $100 billion next year.
Surely there will other willing to waste money on GoogleTV.
Seriously though, has the new Google TV 2.0 made it any better.
aizmov
Haa hahaha! I'm enjoying watching Google TV crash and burn.
majortom1981
Originally Posted by solipsism
I have the sony google tv bluray player and I think it has. They added widgets to the home screen . Which is very usefull. I just have to press the pic in pic button on the google tv remote to bring up the weather, traffic and other widgets that i downloaded.
Also since the google tv has an hdmi in I can do things like play my police scanner app while say my tv show is on commercial.
Google tv 2.0 runs most android apps. All you have to do is install the apk file for that app. Now much better media players exist for google tv because it can run android apps. Makes it much much more usefull as a media player.
sheff
Google can't make it better. It's not about hardware or software. The problem was content getting blocked by all the content providers and with the death of mobile flash it may make content even trickier google needs a deal with Comcast and the networks, which may be where Moro comes in, until then google tv is just a cool tv interface.
gatorguy
LG appears poised to step in with GoogleTV integrated into the TV itself rather than standalone.
http://www.businessweek.com/news/201...n-january.html
Ridley Scott says script for '1984' ad was 'devastatingly effective'
Famed film director Ridley Scott had no idea who Steve Jobs was when he was hired to direct Apple's "1984" ad for the launch of the Macintosh.
Netflix raising prices on all plans in the US and Canada
Netflix is going to get more expensive, with the company announcing Friday that it is raising prices across its subscriptions in the U.S. and Canada for the third time in five years.
Apple announces 'Lincoln's Dilemma' documentary exploring the journey to end slavery
A new four-part docuseries coming to Apple TV+ will offer a new look at Abraham Lincoln and what it took to end slavery in the United States.


text:
To read the original article, head to Access All Areas for the article published 3rd September 2019.
Jack Daniel's has once again chosen Amplify – the marketing agency that joins the dots between people, brands and culture – to design, promote, deliver and amplify its latest 'Jack Daniel's Presents' event: a night of live music and great whiskey for 2,000 brand fans.
Taking place at Birmingham's Digbeth arena on 17 October 2019, this year's Biffy Clyro headlined experience has grown thanks to a partnership with Spotify, a greater emphasis on marketing through on-trade venues and a new talent discovery programme called 'Sound of Summer.
To ensure the campaign creates maximum impact, Amplify and its partner agencies (Communicator, Eulogy, Haygarth and Spark Foundry) conceived a full 360-degree campaign that ladders up to one large gig. After securing Spotify as media partner, a collection of audio ads were created to go live across platform so as to promote the event to a more a tightly targeted audience. The Spotify executions will be further supported through OOH across Birmingham.
Leveraging the event as a purchase incentive, this year's campaign also sees a greater focus on on-trade competitions where buying a Jack Daniel's in allocated bars and pubs gives fans a chance to win gig tickets. The majority of tickets will be available as prizes, along with travel and accommodation for the big night.
In partnership with DIY Magazine and O'Neills pubs and bars, Jack Daniel's has added a 'Sound of Summer' competition to this year's campaign. 'Sound of Summer' is a regional battle of the bands designed to find grassroots talent to be the support act for Biffy Clyro at the main event.
Amplify have helped Jack Daniel's deepen its connection with its young audience since 2015 and have since become the brand's official experiential and event agency partner. As the lead agency for 'Jack Daniel's Presents', Amplify are delivering the event and have developed its creative language and identity as a music platform while working in partnership with Spark Foundry (media), Communicator (social) and Eulogy (PR). All proceeds from the event will be donated to the Music Venues Trust.
Julien Spiegel, senior brand manager at Jack Daniel's Tennessee Whiskey, UK, said: "Jack Daniel's Presents is an amazing and unique experience to celebrate our long lasting and genuine connection to music. Our objective is to continue to nurture the friendship our fans have with Jack Daniel's while at the same time supporting independent venues and grassroots artists. It is definitely something which is part of Jack's DNA."
Amplify's Business Lead, Andy Stott, added: "After the success of last year's Vaccines-headlined gig, it's been fantastic to have another opportunity to work with all our partners again to deliver an even bigger campaign and event. With Biffy Clyro headlining, it's sure to give fans another standout night of music and whiskey. Jack Daniel's has always supported grass roots music, and we are continuing that legacy with this campaign."
Check out the full case study for Jack Daniel's presents... The Vaccines here
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A dynamic athlete with elite level upside. Can play above the rim with ease and is lightening quick in the open court. A standout defender and gifted scorer who could be a one and done lottery pick from Florida.
Lewis is a super smooth and explosive athlete who has unbelievable length, coordination and leaping ability. He's nearly impossible to stop in transition and excels at getting to the cup. In the open court he's a highlight waiting to happen.
Get's nice lift on his jumper and shoots it with good technique. His outside shooting is still a work in progress but he shows a good amount of promise to develop into a consistent three point threat.
Gets after it on D and moves his feet very well. Has quick hands and good anticipation. Transitions from defense to offense in a heartbeat.
Has an extra gear that most athletes don't have.
Has a lot of improvement left to do - gaining consistency on his jumper, expanding his range and getting better off the dribble.
He lacks polish in the mid range game and can get caught over-driving instead of pulling up for a floater or mid range J.
He's very thin and lacks both upper and lower body strength. Will likely always be a thin player and doesn't project as a good post defender.
Reminds of Dwayne Wade, with his body control, elite lateral quickness and elevation.


In a turnabout decision, Kenya's NEMA (National Environmental Management Authority) has ruled out immediate trials for GMOs, now requiring the Agriculture ministry to revisit policy. The agency had approved field trials to begin but now says that researchers need to wait for the ministry to approve it. If that happens, the Kenya Plant Health Inspectorate Service (Kephis) will begin trials that will likely take up to two years, after which seed multiplication and supply will happen.
The ban on GMOs in Kenya started in 2012, based on a study linking GMOs and cancer in lab rats. The report was later retracted.
I must convey my admiration for your kindness giving support to men and women who require assistance with that subject. Your special dedication to passing the message around has been really valuable and has regularly allowed women like me to realize their targets. The useful tips and hints signifies so much to me and still more to my office workers. With thanks; from everyone of us.


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XEOHE
The Fate in the Box
7:00 am 1 February 2016
3 leaning on 3.5; 4 if I'm feeling pleased.
This is my first novel by Ms. Author, so I haven't had the pleasure of reading her previous books that I've learned also feature Venice. Ever since I've read The Thief Lord, I've wanted more stories in a Venetian setting, so when I saw the Fate in the Box in a book sale, I purchased it straight away.
It was... good. Adequate? I was surprised by the amount of magical beings in it, and while I may love my fantastic beasts, it felt like the story turned into a pot luck of fantasy creatures and ideas. The mermaids were a pleasant surprise, because, after all, it is a river city.
The bad guy was adequately bad, the retribution was satisfactorily laid out, and there is some character development notable in the story. I wish I would have seen more of Tockle, the only male protagonist, though; he kind of got shoved in the background by Amneris, Biri, and Latenia (who wasn't even that much of a major character?). He also kind of... cried too much in my opinion.
And while I was hanging on for a great Venetian story, I found myself slightly disappointed, probably because I've compared it to The Thief Lord. In The Fate in the Box, all I got were names, names, names, names of places, names of houses, Italian terms... I understand it's a fantasy story, but it's set in Venice for pancake's sake. A little description of the city here and there would not have been amiss. There are some notes at the end by Ms. Author where she had written down the places in Venice that inspired her for a few settings in the book, but I didn't have time to Google them one by one to help me imagine the main characters' dwellings (aside from the fact that this info came at the end of the story).
Squicks aside, I quite enjoyed it. I felt like the characters were really fleshed out and the story proved most entertaining.
The Dragon of Trelian
I dove headlong into this book with the fervent wish that it would live up to expectations after buying it from Booksale without an inkling as to how good (or bad) it might be. Fortunately, it didn't disappoint. Dragons, castles, magic, headstrong princesses and reserved mage-in-trainings: it all screams awesome fantasy adventure and makes for a good read. Although the ideas are nothing new, they had been delivered well. There were instances in her writing that I felt could use a little more polish, as it reminded me of myself when I began writing stories at 12, but it doesn't get in the way of the story. There's card-reading, expeditions, unexplained scary monsters, an invisible cat and one stony-faced mage that is a particular favorite. How can you go wrong?
Kudos to Ms. Knudsen for creating a world with names that won't cost you a uvula and a pint of spit to pronounce. I can't really complain about the world building; we're offered bite-sized bits of history and information that didn't feel like massive info dumps.
A little gripe I had with this book was that I expected more of Calen's side to the story than Meg's, and that's because it was his name that was first mentioned on the summary. Surely if one were more outstanding than the other, it would be their name on the forefront? Ah, but then I thought, marketing: that guys-will-read-guy-books-but-not-girl-books shtick. And now I feel duped. I should have known better from one of the author reviews (is that what you call those things?) mentioning that it would be perfect for fans of Shannon Hale, whose protaganists are all female. Still, Calen gets a nice little bit of the story from his point of view, although I felt it was hardly enough. But that's just me, anyway.
Meg is a well-rounded character: Her actions befit the status of a person who has never wanted for nothing, and yet her personality veers away from conventional princess behavior. Sometimes though I felt that Ms. Author wanted a princess character who wasn't girlish or liked pretty dresses or sitting still and presented her strong will (which was time and time again pointed out in the book) and stubborness so blatantly that it shoved Calen in the background and tended to make her a tad bit annoying, although that only serves to make her more realistic as a person. Can't like everything about someone, yanno (I mean, come on; slapping a person three times to keep him awake after he just exhausted himself in an effort to save them, and for what? Give the dude a break). It makes me want to read now about a princess who likes getting primped up and has good fashion sense and sewing and dancing and all those 'girly' things and yet can still whoop ass.
Calen is a dear. He's got a long way to go before gaining that right amount of confidence as a mage, but I liked how he became a little more sure of himself after realizing his potential. All in all, the two make a good team. Bonus points for letting them go through a realistic relationship of being friends with each other as opposed to just pairing them up because they're the main characters. What was also nice to see was each character's perspective of the other: From Meg's side, we see her view of Calen as a budding mage who is kind, loyal, and can get in the way of himself. From Calen's, his impression of Meg is a feisty if slightly violent girl who wants to be her own person in lieu of her dragon link.
I was genuinely surprised that Meg would have feelings for another side character, Wilem, because the way these things usually turn out is that both MCs form the main relationship together, be it friendship or something more. I thought it was a fresh take on things, male MC friends with female MC who falls in love with a secondary character and no love triangle involved. But then Wilem turns out to be one of the Big Bads (maybe Small Bads? he did have some plus points after all) and I thought that was a waste, it could have been new and terrific. I wasn't able to spot the boy-courting-female-MC-and-then-happens-to-be-one-of-the-bad-guys myself, but well-versed readers could have probably sniffed it a mile away. Again, nothing new there. Maybe it was my wish for something original that prevented me from seeing "the twist" for what it was. All in all, leaning between 3.5 to 4 stars.
Side notes:
Typos left unedited on pages 170 and 327.
7:00 am 29 July 2015
I will straight up say this: I hesitated upon buying this book. And it was on sale. And yet, and yet, the pull of the author made me do it: the first book wasn't a story I'd be singing praises for, but this was a trilogy I wanted to see through to the end, no matter my misgivings.
Fox's Background. So far I liked this the best about the second book. Bit by bit of Fox's life is slowly being explored.
Throwbacks. I do like the fact that I can relate to her throwbacks. There are items mentioned here that relate to her Thief Lord (and if you had noticed it, the name Folchart appears in Thief Lord as well which was used as Meggie's surname in the Inkheart trilogy).
Writing. Again. It's like there were too many build-ups before the actual meat of the paragraph (note that I said paragraph, not story, because that's how it felt, reading it). I understand maybe it's an attempt at emotional lyrical writing or some flop (flops?) in the translation somewhere but it kept getting to be a bit too much. It got to the point where it was tiresome and are REALLY misplaced and unnecessary in action scenes. Observe:
Jacob was in no rush. After all, these might be the final moments of his life. Up on the hill he saw the tower rising into the dark sky, and beneath it a marten was nibbling on the fresh buds of a tree. Spring was coming. Life or death, Jacob. Once again.
Keep in mind that he was fighting a flipping genie here. If I had been facing off a djinn from crushing my ribs in his grip, I don't think I'd have the time to enjoy the surrounding fresh buds of a tree.
Also, what's with the names? The Bastard, the Witch Slayer, Crookback, the Bug, the Walrus… I could go on. I'm sure there'll be more in the third book.
The cherry on top. Jacob's inner goddess. Oh, my LAWD. Jacob's. inner. goddess. Scratch that. everyone's inner goddess (and no, I haven't read 50 Shades of Grey but I do know about it from awesome Goodreads reviews; to those who don't, it applies in this book in that it's basically a perkier Jiminy Cricket who intermittently butts in the story by use of italics). Jake has one, Fox has one, and guys, even the villain has one. I was going to let this one slide in my review of Reckless, but this time around I really just couldn't anymore. All the while Jacob is fighting the aforementioned genie there were no less than five interspersed entries from his Inner Goddess whom I imagined by this point to be waving a couple of pom-poms all the while saying, Careful, Jacob!, Hold on to it, Jacob!, Now, Jacob!, On your feet, Jacob!, Go, Jacob! I shite you not, we had a magical battle going on and Jacob's inner goddess is cheering him on from the sidelines of his head, and those are actual quotes, my friends.
Sorry, I loved Cornelia Funke's Thief Lord, Dragon Rider, and Inkheart series, but this book really takes the cake. In a bad way.
World building. Ms. Funke seems to be a master at this one. I don't think I'd leave my family in the dust if I ever encounter a magical mirror such as Jacob's, but I sure would spend buttloads of time in it.
Fox. Oh, how I loved Fox. She seems like a strong, loyal character with a good head on her shoulders and I immediately liked her. Also, shape-shifters; who wouldn't enjoy that?
Too. much. stuff. I felt like Reckless was created so she could have somewhere to expound on her world-building and not the other way around. Time and time again we are told there are various other fantastic creatures or items that exist in her Mirrorworld, but sometimes it just feels a little out of place, and we're never told how Jacob procured the magical artifacts either. It's as if the novel is a notebook to jot down all fairy tale magical shhhtuff with no regard for background or explanation (however tiny)—which wouldn't be such a big deal if it hadn't paved the way to a helluva lot of possible deus ex machinas. A magical world is no excuse for a snap solution.
Characters. I couldn't feel the sympathy Jacob should feel for his brother. No such luck with Will and Clara, either; I could hardly see them as the couple the book portrays them to be. I couldn't care less if Jacob's brother turned to stone or what. There just wasn't enough in the story to motivate me in rooting for Will's cause.
ALL IN ALL: 2.5 STARS
I respect Ms. Funke as a writer and it was because of her name that I bought the book, hoping it would have the same standard as her previous works, but this was a bit of a let-down.
Note: I've only started reading the sequel a few weeks ago, but had finished Reckless for maybe a year or more and have only reviewed it now. Usually when I chance at the sequels of books I've read a long time ago, I'd reread the first book to refresh my memory. At this point, I didn't even attempt. It's not that I hated the book, it's that I really had no love for the way it was written.
The Search for WondLa
7:00 am 7 June 2015
What I liked most about this book, aside from the amazing world-building and gorgeous illustrations, was Eva Nine's characterization. She's portrayed as an 11-to-12-year-old girl (confused; I rememeber reading 12, but the Web site says 11?) and she actually acts like it; she gets scared, was initially dependent on parental figures, and is privy to actions you would relate to a kid like sticking her feet in puddles and talking to stuffed animals. Books like the Percy Jackson series have well-rounded characters, but for me they act and think like teenagers well into puberty when they're barely thirteen.
I could say the pacing was kind of slow, and I could say it kind of dragged on in some parts, but I can't really complain; it felt like watching a movie, and was never hard to follow even if there were gaps between when I last picked it up and resumed reading. I enjoyed this immensely.


Often, after you wash your hair and style it well to go out, you will see after a few hours that your hair has turned oily and greasy, not at all like the way it looked when you set out from home in the morning. If it happens to you, it means that you have an oily hair. Oil glands present in the scalp keep the hair shafts from breaking and protect your scalp from dryness and other such problems. So secretion of oil in the scalp is necessary to have a healthy scalp and hair. But sometimes these glands secrete more oil than that is required for your hair. This may happen due to some hormonal changes, hereditary problems or the texture of your hair. This makes your hair oily and greasy. But you need not worry about this condition as there are many home remedies to combat this problem.
You get a number of products in the market promising that they can treat oily hair and provide bounce and life to your hair. However, how effective they are is not yet proved. Here we will discuss some home remedies for oily hair, which is cheap and effective, without any side effects as such.
Aloe vera is one of the best remedies for oily hair. Mix one teaspoon each of aloe vera and lemon juice in one cup of shampoo and store this in the fridge. You can wash your hair with this shampoo every day. It will last for one week.
Add 2 to 3 tbsp of baking soda to 1 liter of water, apply on the hair and then shampoo after 20 minutes. This helps in removing greasiness from your hair.
Add two tablespoon of vinegar or juice of a lemon to 1 cup of water and rinse your hair with this after you shampoo your hair. Then rinse your hair with tepid water. This can control oil in the hair.
If you have oily hair, the sebum, dirt and the impurities will deposit on your scalp and clog the pores. So make sure that you shampoo your hair at least every alternate day. This will keep your scalp clean. When you apply the shampoo, rub your scalp gently with your fingertips. This prevents any scalp buildups.
Take two egg yolks and add a few drops of lemon juice to it, beat well and apply on your hair. Leave for a few minutes and rise off well.
Oiling the hair is necessary for the health of your hair and scalp. So, make sure that you treat your hair with oil once in a week. Take coconut oil and almond oil and mix them. Also add a few drops of tea tree essential oil. Apply this mixture on your scalp and hair. Leave for an hour and then wash with a good and mild shampoo. Hot oil treatment is also very effective.
Mix the juice of two lemons with 2 cups of distilled water and store. After you shampoo your hair, pat dry the hair and massage your scalp and hair with this solution. Wait for 5 minutes and then wash well. Lemon is also good for removing dandruff.
Do not brush your hair too much if you have oily hair as it makes the oil to get distributed throughout your hair.
Oatmeal soaks oil from the scalp and also reduces itchiness.
After applying the shampoo, rinse your hair well so that all traces of shampoo are removed. If not, it will attract more dirt and oil, and also cause damage to the hair.
Oily hair already has a shine of its own. So you need not apply any serums or glossy gels on your hair.
Rubbing with towel or scratching the scalp vigorously cause abrasions, oily dandruff or make the hair even oilier.
If your hair is oily, it is required that you shampoo your hair daily. This will help in keeping your hair clean and oil free. When you choose the shampoo, make sure that it is for oily hair. If your hair is dry, you can use a nourishing conditioner on the shafts of the hair only. If your hair as well as your scalp is oily, use shampoo for oily hair and this will be enough to keep your scalp and the hair oil free.
When you apply shampoo, massage your scalp well with the shampoo and make sure that the scalp and hair are clean. Since you are applying the shampoo daily, always choose a mild shampoo so that it does not harm your hair and the scalp.
Alcohol and beer are good for oily hair. Mix half a cup of beer or alcohol with two cups of water and use this as the last rinse. This reduces oiliness and helps in making your hair shine.
Similarly, tea rinse and mint rinse are also good for reducing greasiness.
For oily hair, you must use shampoos that are specially formulated for oily hair. For normal hair you need shampoo with pH between 4.5 and 6.7. For oily hair the pH must be more than that.
Conditioners are not good for oily hair as they only coat the hair. So apply them at the ends of the hair only if necessary.
If you are in a hurry, sprinkle some baby powder on your hair, leave for five minutes and then comb your hair. This will remove excess oil.
Drinking lots of water and eating the right kind of food also helps in keeping your hair free from oil.
Shampooing less often prevents oily hair. Washing your hair every day strips it of natural oils and coats it with unnecessary chemicals and residue, leaving it limp and under-nourished. Find a shampoo that suits your hair type and wash every other day.
I agree aloe vera and baking soda are best remedies and they work best for skin issues too..!


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NCJ Number: 215111
Title: Knock and Talks
Journal: FBI Law Enforcement Bulletin Volume:75 Issue:8 Dated:August 2006 Pages:22-32
Author(s): Jayme W. Holcomb J.D.
Date Published: August 2006
Document: HTML
Publisher: https://www.fbi.gov/
Type: Legislation/Policy Analysis
Annotation: This article explores the legal issues associated with the police technique of "knock and talks," which is a noncustodial police encounter with a citizen at their residence.
Abstract: Knock and talks involve police officers knocking on a residence door and asking to speak with the occupants. Officers may also ask permission to search the residence. This technique is practiced in the absence of an arrest or search warrant and is considered a consensual encounter between police and citizens. This practice can be lawful, yet carries a great risk for abuse. Officers are cautioned that if illegal activity is suspected, it is always preferable to investigate for reasonable cause and obtain a search warrant. The author addresses the general rule for knock and talks before delving into the legal aspects of approaching a residence and its occupants without a warrant. Knock and talks are examined for their potential to violate the fourth amendment rights of citizens to "be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures." However, Federal and State courts have ruled that knock and talks do not violate fourth amendment rights if they are conducted properly. The legal aspects of particular components of the knock and talk are explored, including how the home is approached by officers, the way the knock on the door sounds, the time of day, the duration of the encounter, and the number of officers present. Generally, courts examine every aspect of a knock and talk for any hint that the reasonable person would not feel free to decline the officers' requests. Several court cases are described to illustrate the main legal questions involved in police initiated knock and talks. Endnotes
Main Term(s): Police-citizen interactions; Warrantless search
Index Term(s): Constitutional Rights/Civil Liberties; State courts; State supreme courts
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The Apple smart keyboard for the iPad Pro is incredible. It truly makes the iPad experience more that of a notebook than a tablet.
At first glance, the keyboard feels strange and different than any keyboard I've ever used prior. It looks kind of cheap and not necessarily comfortable. But after a few keystrokes, your hands get used to it and it feels oddly comfortable. It works beautifully. And the keys are actually satisfying to hit. The iPad wakes up when the keys are struck and it makes a "click" sound, not exactly similar to that of a mechanical keyboard, but still satisfying none the less.
My only wish would be that the keyboard was backlit. Then it would really be perfect. But, depending on which app you are typing in, for example the Squarespace Blog app is white, so the white bounces back onto the keyboard and sort of lights it on its own.
But I love the small form factor of how the keyboard folds up and magnetically connects to the back of the iPad cover. It's also good to note that the smart keyboard case can be connected to the iPad Pro and still fit, with some room to spare, in the Apple leather sleeve. It seems to be a great way to carry everything around when lugging a 12.9" display anywhere.
I definitely advise anyone whose looking to grab an iPad Pro to get the smart keyboard, too. It really takes the experience to another level. Though it's not cheap, when you're looking into iPad Pro accessories, you have to understand none of them are. Of course, a cheaper alternative would be just any standard bluetooth keyboard. But I'm telling you, the experience is far from the same.


Aviation technology businessman Raivo Susi, who was sentenced to twelve years in a high-security prison in Russia for espionage was extradited to Estonia in exchange for a Russian spy on Saturday, the Estonian Internal Security Service (ISS) said.
"The Republic of Estonia and the Russian Federation today exchanged Russian citizen Artjom Zintsenko, found guilty of espionage in Estonia, for Estonian citizen Raivo Susi, found guilty of espionage in Russia," the ISS said on Saturday. "The exchange took place today, on Feb. 10 at 10 a.m., at Koidula Border Crossing Point."
Last May, Harju County Court found Zintsenko guilty of espionage and sentenced him to five years in prison. Last December, Susi was found guilty of espionage and sentenced to 12 years in prison in Russia. Both persons filed pardon pleas, which were satisfied by the heads of state of Estonia and Russia, the ISS said.
"Estonia needs its citizens if it is at all possible," ISS Director General Arnold Sinisalu said, adding that both parties entered into an agreement that satisfied each side. "Estonia extradited to Russia a spy who committed a crime here, and, as a result, the Estonian businessman was able to return to his loved ones after a long detainment in Russia."
"Raivo Susi confirmed that his condition is currently good and there is no reason for concern," lawyer Aivar Pilv said in a press release. He also passed on his client's gratitude to the Estonian agencies and individuals who worked on his case and helped work toward his release and extradition.
Susi is returning to his family and will need time to recover from his ordeal, the ISS said, noting that he is opting to forgo public appearances at this time.


PETOSKEY — The Petoskey-based Little Traverse Association of Home Builders recently announced the formation of the Northern Michigan Professional Women in Building Council.
The council has been formally chartered by the National Association of Home Builders as of 2012. The national association's system of Professional Women in Building councils serves as a voice for women in the building industry.
Locally, the Northern Michigan council promotes industry professionalism. It also supports Little Traverse Association of Home Builders association members at the local, state, and national levels by offering networking and educational opportunities, legislative awareness and outreach, and professional development.
Founding members include Stephanie Baldwin of Edgewater Design Group, Arlene McKinney of Harbor Brenn Insurance Agencies, Christine Cole of DTE Energy, Cindy Pasant of Great Lakes Plumbing, Heating & AC, Meghan Marie Meyer of Personal Graphics, Geri Nelson of DTE Energy, Jeff Grantham of Grantham Building & Remodeling, Mary Margaret Hornbaker of Northwest Michigan Habitat for Humanity, Nona Szczepanski of Mike's Glass and Mary Greetis of Greetis Design Group.
Cole serves as the council's president, Pasant as vice president and Meyer as secretary/treasurer. Grantham is president of the Little Traverse Association of Home Builders.
Council membership is open to all individuals involved in the construction or building services industry. Quarterly meetings are scheduled throughout 2012 and will feature guest speakers, professional development and networking opportunities. Meeting information can be found online at www.ltahb.com.
Benefits for council members include networking at the national level, such as the International Builder's Show, and mentoring at the local, state and national levels.
Opportunities for industry-related continuing education grants, educational travel grants, and scholarships to promote women within the construction industry are strategies offered to members that assist in personal development.
Other services offered are social media forums, national online member listings, and online resources.
Leadership awards and recognition are an integral part of the council.
The national council offers a "Strategies for Success" scholarship program for student members pursuing building industry related degree programs. Members of the Northern Michigan council may also hold offices at the state and national levels of the organization.
Local council members are also active members of the Little Traverse Association of Home Builders, the local chapter of the National Association of Home Builders federation covering the Charlevoix, Cheboygan, Emmet and Otsego counties.
All of the Little Traverse association's members must conform to all licensing requirements within their fields and pledge themselves to a code of ethics in an effort to maintain high standards of quality construction, commitment to the consumer and professional and fair business practices.
For Professional Women in Building membership information, contact the Little Traverse Association of Home Builders at (231) 348-9770 or see www.ltahb.com.


text:
Piet Heyn
Dutch Privateer, around 1620s (Considered a pirate by the Spaniards)
Piet Heyn was a terror to the Sapnish Main particularly around the island of Cuba. Heyn started out as a Dutch privateer of little consequence but after being captured by the Spaniards and enslaved in a ship's galley things changed. He was eventually freed in a prisoner exchange and took on duties as a captain of privateering ship.
Heyn knew knew the silver fleet, the galleons that collected the gold and silver along the coast from Panama to Mexico would rendevous in Havana before heading out to Spain. Eventually Heyn commanded a fleet of around 30 ships.
Heyn took his fleet and sailded boldy toward Havana. The Spanish Admiral, Benavides and his second in command Don Jaun de Loez, saw the approach of Heyn's privateer fleet and according to witnesses attempted to avoid contact but ended up grounding his fleet. Benavides claimed he attacked the Dutch fleet resolving rather die than be caught. Neither Benavides ship or de Loez fired a single cannon as their ships were approached and boarded by the Dutch.
The Spanish Galleons were so loaded with gold and silver that they actually had blocked many of their gun ports, making it impossible to effectively engage the Dutch privateers. Heyn's men quickly boarded the Spanish ships right in view of Havana, and for several days looted the cargo making off with over 34 tons of Silver. The looting went on for several days until eventually Heyn sailed back to the Netherlands with asround fifteen captured Spanish ships as well as his original fleet. The rest of the Spanish fleet was burned in Havana Harbor.
When the battle began Benavides desserted his ship in a row boat and headed for saftey ashore. He later testified that he had given orders for the ship to be burned and evacuated. Loez changed clothes and hid among the common sailors, fearing he would be executed by the Dutch.
Heyn returned to the Netherlands a great hero, Benavides and de Loez were tried for cowardice and dessertion. Benavides was beheaded and de Loez imprisoned for life.
Heyn would enjoy his status as Dutch hero for a few years. Eventually he went off to do battle against English pirates and had the unfortunate mishap of being blown apart by an English cannonball.
Buena Guerra! GoodWar! The battlecry of the Dutch Privateers or Zeerovers


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Home Publishers Marvel Invisible Woman deemed "plausible"
Invisible Woman deemed "plausible"
Heidi MacDonald
In world shaking science news, Susan Storm Richards, the Invisible Woman, is being used by scientists as a model of how invisibility might really work:
…Dr Ulf Leonhardt, a theoretical physicist at St Andrews University in Scotland, believes the most plausible example is the Invisible Woman, one of the Marvel Comics super-heroes in the "Fantastic Four".
"She guides light around her using a force field in this cartoon. This is what could be done in practice," Leonhardt told Reuters in an interview. "That comes closest to what engineers will probably be able to do in the future."
[snip]In the research published in the New Journal of Physics, Leonhardt described the physics of theoretical devices that could create invisibility. It is a follow-up paper to an earlier study published in the journal Science.
"What the Invisible Woman does is curve space around herself to bend light. What these devices would do is to mimic that curved space," he said.
BUT HOW WOULD SHE BE ABLE TO SEE WITH NO LIGHT HITTING HER RETINAS??? Can you answer that, Dr. Smartpant Leonhardt??? Well, can you?????
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Heidi MacDonald is the editor-in-chief of The Beat and an award winning author and editor. She is the co-author of The Secret Teachings of a Comic Book Master.
Dwight Jon Zimmerman 08/02/2006 1:29 pm At 1:29 pm
That's rather easy to explain. Her ability to bend visible light is complemented by her having vision that can see in the "invisible" spectrum: ultraviolet, infrared, and other higher and lower energy emissions. Crudely, she might have what amounts to "radar vision."
Scott Bieser 08/02/2006 2:10 pm At 2:10 pm
Everyone is forgetting that the mechanics of invisibility was described in an early Star Trek episode, during their first encounter with the Romulans. Mr Spock speculated that "an invisbility field, involving the selective bending of light rays, could work" or something like that.
Brandon Type A 08/02/2006 2:48 pm At 2:48 pm
Wow. Nice answer, Dwight. Although I get the impression we both take this sort of stuff seriously; it's what I would've answered! Oh, and thanks Scott for the reference work for ST!
Hector Lima 08/02/2006 5:39 pm At 5:39 pm
hm, nice one, Heidi.
she *would* be able to see, if the light would hit her retinas. alas, she would see saturated colors, just like when we do the mapping exam that requires the pupils to be dillated.
so she'd need invisible sunglasses.
R. Maheras 08/03/2006 10:59 am At 10:59 am
Here's A theory I wrote, same subject, on another Web site:
"Well, let me dig back to my days of aircraft avionics maintenance to answer how such a cloaking device might work by bending light, but still allowing the user to see.
Back in the day, different avionics systems would sometime share the same coax signal line by utilizing a technique called "blanking.� That is, System A would be allowed to receive/transmit on the coax cable for, say, 10 microseconds, and then it would shut off. Then System B would receive/transmit for, say, the next 10 microseconds, and then it would shut off. The cycle would continue on and on, allowing both systems to operate in what is was, in effect, a pseudo-continuous manner. The line sharing times were certainly transparent to the human user, who, with limited senses, would be oblivious to the process. Today, with the advent of fiber optics lines, the blanking times are probably measured in nanoseconds.
A similar optical effect is taking place when a film projector is projecting a film at 24 frames per second. Your eye sees the a film's 24 frames per second as a solid, non-flickering image, even though, when compared to a blanking signal going through coax cable, the "on/off� times are glacially slow.
So, for Sue Richards to be able to see, she could employ some sort of blanking technique for her invisibility power. She'd pass enough light around her at the right "pulsed� intervals so she appeared to not be there, yet would still be able to allow enough light through to her eyes during the "off� times so she could see.
The problem with such light-bending invisibility is that once your opponent knows you can do it, the sensor countermeasures needed to detect such activity are pretty easy to develop, in my opinion. Still, it would be a powerful tool against those not expecting it, ala the Predator film."
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text:
Q: PHP Regex cannot match I have a huge text file that contains some data that I want to insert in my database.
The problem is that I don't want to insert every data, and I can't seem to make any preg_match_all(), in fact I'm a little newbie with regular expressions:
file.txt
[03-07-2010 09:03:23] : [180.20.106.107] : [/success]:
        [SEND] invite ->    helen,
        [SEND] uname -> test,
        [SEND] fname -> test,

[03-07-2010 09:04:28] : [180.20.106.107] : [/success]:
        [SEND] invite ->    helen3,
        [SEND] uname -> test3,
        [SEND] fname -> test3,
        [SEND] register ->  register,

[03-07-2010 09:07:43] : [180.20.106.107] : [/success]:
        [SEND] invite ->    register,
        [SEND] uname -> helen2,
        [SEND] fname -> none,

[03-07-2010 09:09:48] : [180.20.106.107] : [/success]:
        [SEND] invite ->    helen2,
        [SEND] uname -> test2,
        [SEND] fname -> test2,

[03-07-2010 10:14:18] : [180.20.106.107] : [/success]:
        [SEND] invite ->    register,
        [SEND] uname -> mickey,
        [SEND] fname -> test8,
        [SEND] register ->  register,

I want to extract only the block that has register, that means from the start [03-07-2010 09:04:28] till the end register ->  register, and [03-07-2010 10:14:18] to the end of that block (register ->   register).
I have tried a lot of things, but like I said, I'm a newbie in regex
This does not work:
#\[(.*)\] : \[(.*)\] : \[\/success\]:(.*)register ->    register#s

A: There's a few places where you should use ungreedy quantifiers, but that's not the problem.
The issue is that you are trying to get data on another line. . does not match newlines unless you specifically tell it to with the s modifier.
That being said, you can't do this with a single regexp, because it will match the first line that has the timestamp and IP, then skip all the way to the register -> register line and say "oh hey it works!"
Instead, I suggest splitting your subject string into indiviudal blocks, like so:
$blocks = preg_split("/\r?\n\s*\r?\n/",$inputText);
foreach($blocks as $block) {
    list($first,$data) = explode("\n",$block,2);
    if( preg_match("/\bregister\s*->\s*register\b/",$data)) {
        preg_match_all("/\[(.*?)\]/",$first,$m,PREG_SET_ORDER);
        list($timestamp,$ip) = $m[0];
        // do something here with the information.
    }
}

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