: Proof: each minimal polynomial has degree at most.

Proof: If n is a prime-power, then a group of order n has a nontrivial center and, therefore, is not simple.

It has produced several full-length plays as well as youth productions, including " Brighton Beach Memoirs " by Neil Simon ( 2005 ), " A Christmas Carol " ( youth production ) by Charles Dickens ( 2005 ), " Crimes of the Heart " by Beth Henley ( 2006 ), " Murder Room " by Jack Sharkey ( 2006 ), and " Proof " by David Auburn.

Proof: Fix a first-order language L, and let Σ be a collection of L-sentences such that every finite subcollection of L-sentences, i ⊆ Σ of it has a model.

Proof that Bahya borrowed from Sufism is underscored by the fact that the title of his eighth gate, Muḥasabat al-Nafs (" Self-Examination "), is reminiscent of the Sufi Abu Abd Allah Ḥarith Ibn-Asad, who has been surnamed El Muḥasib (" the self-examiner "), because — say his biographers —" he was always immersed in introspection "

Fusion shred guitarist, and session musician Greg Howe has released solo albums such as Introspection ( 1993 ), Uncertain Terms ( 1994 ), Parallax ( 1995 ), Five ( 1996 ), Ascend ( 1999 ), Hyperacuity ( 2000 ), Extraction ( 2003 ) with electric bassist Victor Wooten and drummer Dennis Chambers, and Sound Proof ( 2008 ).

* Open Drip Proof, a type of electric motor enclosure that has vents to allow air flow but to prevent liquids and solids from entering the motor

Proof: If is diagonalizable, then A is annihilated by some polynomial, which has no multiple root ( since ) and is divided by the minimal polynomial of A.

The Worshipful Company of Gunmakers, which is positioned 73rd in the order of precedence, has been based at Proof House for over 300 years.

Proof House, on Commercial Road, has been the home of the Worshipful Company of Gunmakers for over 300 years.

Since 1675, the company has been located at Proof House on Commercial Road, just outside Aldgate and the old walls of the City.

Because of its picturesque surroundings Stowe has been the setting for many films, including Indiana Jones and the Last Crusade, the Bollywood film Kabhi Khushi Kabhi Gham, Proof of Life, Stardust ( 2007 ), and The World Is Not Enough in the James Bond series.

Also from the Gang Starr Foundation, Premier produced and supervised Group Home's Livin ' Proof ; although overlooked at the time of its 1995 release, the album has since come to find similar acclaim.

She was a regular on the science fiction series Dark Skies ( 1997 ) and the legal drama series Shark ( 2006 – 08 ), Since 2011, she has starred as Dr. Kate Murphy in the ABC drama series Body of Proof and since 2009 she has played occasional guest star Tara Cole on Leverage.

The attraction has raised money for the Children's Hospital of New Orleans, the Parish Police Bullet Proof Vest Fund, and the Greater New Orleans Riding Rehabilitation Center.

Eminem is the lead actor in 8 Mile and has had cameo appearances in several films and shows, while Proof also appears in 8 Mile as a freestyle rapper called " Lil ' Tic ".

Proof: Assume that a signal f ( t ) which has finite support in both domains exists.

She has appeared in films such as Kids, Men in Black II, 25th Hour, Sin City, Clerks II, Rent, Death Proof, The Rundown, Eagle Eye, Alexander, Seven Pounds, Percy Jackson and the Olympians: The Lightning Thief, and Unstoppable.

It has historically been a Kentucky Straight Bourbon whiskey ( 80 Proof ).

Proof that QCD confines at low energy is a mathematical problem of great relevance, and an award has been proposed by the Clay Mathematics Institute for whoever is also able to show that the Yang – Mills theory has a mass gap and its existence.

The book professes to be " A Short and Easy Method with the Deists wherein the certainty of the Christian Religion is Demonstrated by Infallible Proof from Four Rules, which are incompatible to any imposture that ever yet has been, or that can possibly be " ( 1697 ).

The player has a choice between 4 street fighters: Briggs, a dishonorably discharged soldier ( balanced skills ); Proof, an ex-superbike racer ( fast and charismatic but not as strong as the other characters ); Tank, a massive Japanese fighter ( very slow and uncharismatic with low defense but strong ) and the Disc Jockey Spider ( resilient but slow and uncharismatic ), although the story is the same for each of them.

Robards ' television credits include a recurring role on Get a Life as well as appearances on Spin City, The West Wing, Law & Order, Law & Order: Criminal Intent, Sex and the City The Outer Limits, and Body of Proof.

Proof of first property: from 3. we obtain ( a < sup >− 1 </ sup >)< sup >− 1 </ sup >=

Proof of second property: since a * b and b * b < sup >− 1 </ sup > are defined, so is a * b * b < sup >− 1 </ sup >=

#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.

#* Proof: suppose that p is composite, hence can be written with a and Then is prime, but and contradicting statement 1.

#* Proof: If q divides 2 < sup > p </ sup > − 1 then 2 < sup > p </ sup > ≡ 1 ( mod q ).

( Proof: either 1 is positive or − 1 is positive.

< div class =" NavHead " style =" background :# ccf ; text-align: left ; font-size: larger ;"> Proof of ( 1 )</ div >

Fourth Session ( October 1, 787 ) -- Proof of the lawfulness of the veneration of icons was drawn from Exodus 25: 19 sqq.

Proof: Since p is a prime number the only possible values of gcd ( p < sup > k </ sup >, m ) are 1, p, p < sup > 2 </ sup >, ..., p < sup > k </ sup >, and the only way for gcd ( p < sup > k </ sup >, m ) to not equal 1 is for m to be a multiple of p. The multiples of p that are less than or equal to p < sup > k </ sup > are p, 2p, 3p, ..., p < sup > k − 1 </ sup > p = p < sup > k </ sup >, and there are p < sup > k − 1 </ sup > of them.

* Arora, Sanjeev ; Barak, Boaz, " Complexity Theory: A Modern Approach ", Cambridge University Press, 2009, ISBN 978-0-521-42426-4, section 1. 4, " Machines as strings and the universal Turing machine " and 1. 7, " Proof of theorem 1. 9 "

*: Puncture Proof: 1

Proof of Lemma 1:

* 3200th Proof Test Group, 1 July 1948-1 July 1953

* 3200th Proof Test Wing, 1 April 1951-1 July 1952

# is a polynomial ( of degree ≤ n − 1 ) in .< ref > Proof: When A is normal, use Lagrange's interpolation formula to construct a polynomial P such that, where are the eigenvalues of A .</ ref >

It ranks tenth on the Top 1, 319 Sample Sources list and has been sampled in dozens of songs.

He has produced remixes for Severed Heads, INXS and The Wiggles, and has done soundtrack work for the film Sample People.

He has toured and performed with numerous musicians, including Joe Sample, Chick Corea, Kathleen Battle, Miles Davis, David Sanborn, Rick Braun, and George Benson.

It has been recorded by a countless number of artists, ranging from Charles Mingus to Paul Robeson, Ella Fitzgerald, Dinah Washington, Nina Simone, Joe Sample, Nat " King " Cole, Frank Sinatra, Louie Armstrong, Earl Grant, Joe Jackson, Yukihiro Takahashi, The Georgetown Chimes, and Kelly Hogan.

Although human spaceflight has remained a long-term goal of the programme, with some basic technology development in this area, the thrust has been on implementation of the ExoMars mission and preparations for an international Mars Sample Return Mission.

Sample puzzles can be 4 × 4 grids with 2 × 2 regions ; 5 × 5 grids with pentomino regions have been published under the name Logi-5 ; the World Puzzle Championship has featured a 6 × 6 grid with 2 × 3 regions and a 7 × 7 grid with six heptomino regions and a disjoint region.

Sample continuous flow intersection implemented for north / south traffic while east / west traffic has a regular left-turn lane