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Directed by=Alla Kovgan; Writed by=Alla Kovgan; 102 Vote; Summary=The iconic Merce Cunningham and the last generation of his dance company is stunningly profiled in Alla Kovgan's 3D documentary, through recreations of his landmark works and archival footage of Cunningham, John Cage, and Robert Rauschenberg; average rating=6,6 of 10. Cunningham recreation. Cunningham agency. A remarkable achievement by filmmaker Alla Kovgan, spending seven years to make this classic tribute to the late dancer/choreographer Merce Cunningham.
Working with both archive footage and valuable sound recordings, she conjures up the avant-garde artist through recordings of his work, his philosophy of his art and comments by many close collaborators including notably John Cage and Robert Rauschenberg. Not meant as a biopic, film concentrates on spectacularlhy cinematic (in 3-D) new performances of many of his dances, executed by members of his company, which disbanded in 2011, after Merce's death in 2009.
At a q&a following the screening, Kovgan indicated that Wim Wenders' innovative 2011 3-D dance film about German choreographer Pina Bausch inspired her to take on this formidable project, finally starting shooting in Stuttgart in 2015 with principal photography taking place in 2018.
Her use of 3-D technique is outstanding, resulting in gripping visual images, enhanced by the accompaniment of the original dance scores by John Cage and others. For a novice like me, not overly familiar with Merce's achievements, the movie brings his dance to life and points to how 3-D technology can be used artfully rather than as a gimmick, or its current excuse to permit higher price points for movie admissions to films, both animated and action-oriented, that should play just as well if not better in 2-D on large screens.

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Cunningham golf carts. Cunningham clamp. Cunningham equation. Cunningham peaches. Cunningham madison. Cunningham panel. Cunningham chrysler edinboro. Cunningham vs glowacki. In mathematics, a Cunningham chain is a certain sequence of prime numbers. Cunningham chains are named after mathematician A. J. C. Cunningham. They are also called chains of nearly doubled primes. One application for Cunningham chains is using computing power to identify them, in order to generate virtual currency, similar to how Bitcoin is mined. [1] Definition [ edit] A Cunningham chain of the first kind of length n is a sequence of prime numbers ( p 1,...,  p n) such that for all 1 ≤  i  <  n, p i +1  = 2 p i  + 1. (Hence each term of such a chain except the last is a Sophie Germain prime, and each term except the first is a safe prime). It follows that Or, by setting (the number is not part of the sequence and need not be a prime number), we have Similarly, a Cunningham chain of the second kind of length n is a sequence of prime numbers ( p 1,..., p n) such that for all 1 ≤  i  <  n, p i +1  = 2 p i  − 1. It follows that the general term is Now, by setting, we have. Cunningham chains are also sometimes generalized to sequences of prime numbers ( p 1,...,  p n) such that for all 1 ≤  i  ≤  n, p i +1 =  ap i  +  b for fixed coprime integers a,  b; the resulting chains are called generalized Cunningham chains. A Cunningham chain is called complete if it cannot be further extended, i. e., if the previous and the next terms in the chain are not prime numbers. Examples [ edit] Examples of complete Cunningham chains of the first kind include these: 2, 5, 11, 23, 47 (The next number would be 95, but that is not prime. ) 3, 7 (The next number would be 15, but that is not prime. ) 29, 59 (The next number would be 119 = 7*17, but that is not prime. ) 41, 83, 167 (The next number would be 335, but that is not prime. ) 89, 179, 359, 719, 1439, 2879 (The next number would be 5759 = 13*443, but that is not prime. ) Examples of complete Cunningham chains of the second kind include these: 2, 3, 5 (The next number would be 9, but that is not prime. ) 7, 13 (The next number would be 25, but that is not prime. ) 19, 37, 73 (The next number would be 145, but that is not prime. ) 31, 61 (The next number would be 121 = 11 2, but that is not prime. ) Cunningham chains are now considered useful in cryptographic systems since "they provide two concurrent suitable settings for the ElGamal cryptosystem... [which] can be implemented in any field where the discrete logarithm problem is difficult. " [2] Largest known Cunningham chains [ edit] It follows from Dickson's conjecture and the broader Schinzel's hypothesis H, both widely believed to be true, that for every k there are infinitely many Cunningham chains of length k. There are, however, no known direct methods of generating such chains. There are computing competitions for the longest Cunningham chain or for the one built up of the largest primes, but unlike the breakthrough of Ben J. Green and Terence Tao - the Green–Tao theorem, that there are arithmetic progressions of primes of arbitrary length - there is no general result known on large Cunningham chains to date. Largest known Cunningham chain of length k (as of 5 June 2018 [3]) k Kind p 1 (starting prime) Digits Year Discoverer 1 1st / 2nd 2 77232917 − 1 23249425 2017 Curtis Cooper, GIMPS 2 1st 2618163402417×2 1290000 − 1 388342 2016 PrimeGrid 2nd 7775705415×2 175115 + 1 52725 Serge Batalov 3 1815615642825×2 44044 − 1 13271 742478255901×2 40067 + 1 12074 Michael Angel & Dirk Augustin 4 13720852541*7877# − 1 3384 17285145467*6977# + 1 3005 5 31017701152691334912*4091# − 1 1765 Andrey Balyakin 181439827616655015936*4673# + 1 2018 6 2799873605326×2371# - 1 1016 2015 52992297065385779421184*1531# + 1 668 7 82466536397303904*1171# − 1 509 25802590081726373888*1033# + 1 453 8 89628063633698570895360*593# − 1 265 2373007846680317952*761# + 1 337 9 553374939996823808*593# − 1 260 173129832252242394185728*401# + 1 187 10 3696772637099483023015936*311# − 1 150 2044300700000658875613184*311# + 1 11 73853903764168979088206401473739410396455001112581722569026969860983656346568919×151# − 1 140 2013 Primecoin ( block 95569) 341841671431409652891648*311# + 1 149 12 288320466650346626888267818984974462085357412586437032687304004479168536445314040×83# − 1 113 2014 Primecoin ( block 558800) 906644189971753846618980352*233# + 1 121 13 106680560818292299253267832484567360951928953599522278361651385665522443588804123392×61# − 1 107 Primecoin ( block 368051) 38249410745534076442242419351233801191635692835712219264661912943040353398995076864×47# + 1 101 Primecoin ( block 539977) 14 4631673892190914134588763508558377441004250662630975370524984655678678526944768*47# - 1 97 Primecoin ( block 2659167) 5819411283298069803200936040662511327268486153212216998535044251830806354124236416×47# + 1 100 Primecoin ( block 547276) 15 14354792166345299956567113728*43# - 1 45 67040002730422542592*53# + 1 40 16 91304653283578934559359 23 2008 Jaroslaw Wroblewski 2×1540797425367761006138858881 − 1 28 Chermoni & Wroblewski 17 2759832934171386593519 22 1540797425367761006138858881 18 658189097608811942204322721 27 19 79910197721667870187016101 26 q # denotes the primorial 2×3×5×7×... × q. As of 2018, the longest known Cunningham chain of either kind is of length 19, discovered by Jaroslaw Wroblewski in 2014. [3] Congruences of Cunningham chains [ edit] Let the odd prime be the first prime of a Cunningham chain of the first kind. The first prime is odd, thus. Since each successive prime in the chain is it follows that. Thus,,, and so forth. The above property can be informally observed by considering the primes of a chain in base 2. (Note that, as with all bases, multiplying by the number of the base "shifts" the digits to the left. ) When we consider in base 2, we see that, by multiplying by 2, the least significant digit of becomes the secondmost least significant digit of. Because is odd—that is, the least significant digit is 1 in base 2--we know that the secondmost least significant digit of is also 1. And, finally, we can see that will be odd due to the addition of 1 to. In this way, successive primes in a Cunningham chain are essentially shifted left in binary with ones filling in the least significant digits. For example, here is a complete length 6 chain which starts at 141361469: Binary Decimal 1000011011010000000100111101 141361469 10000110110100000001001111011 282722939 100001101101000000010011110111 565445879 1000011011010000000100111101111 1130891759 10000110110100000001001111011111 2261783519 100001101101000000010011110111111 4523567039 A similar result holds for Cunningham chains of the second kind. From the observation that and the relation it follows that. In binary notation, the primes in a Cunningham chain of the second kind end with a pattern "0... 01", where, for each, the number of zeros in the pattern for is one more than the number of zeros for. As with Cunningham chains of the first kind, the bits left of the pattern shift left by one position with each successive prime. Similarly, because it follows that. But, by Fermat's little theorem,, so divides (i. e. with). Thus, no Cunningham chain can be of infinite length. [4] See also [ edit] Primecoin, which uses Cunningham chains as a proof-of-work system Bi-twin chain Primes in arithmetic progression References [ edit] External links [ edit] The Prime Glossary: Cunningham chain Primecoin discoveries (): online database of primecoin findings with list of records and visualization PrimeLinks++: Cunningham chain OEIS sequence A005602 (Smallest prime beginning a complete Cunningham chain of length n (of the first kind)) -- the first term of the lowest complete Cunningham chains of the first kind of length  n, for 1 ≤  n  ≤ 14 OEIS sequence A005603 (Chains of length n of nearly doubled primes) -- the first term of the lowest complete Cunningham chains of the second kind with length  n, for 1 ≤  n  ≤ 15 v t e Prime number classes By formula Fermat ( 2 2 n  + 1) Mersenne ( 2 p  − 1) Double Mersenne ( 2 2 p −1  − 1) Wagstaff (2 p  + 1)/3 Proth ( k ·2 n  + 1) Factorial ( n! ± 1) Primorial ( p n # ± 1) Euclid ( p n # + 1) Pythagorean ( 4 n  + 1) Pierpont ( 2 m ·3 n  + 1) Quartan ( x 4  +  y 4) Solinas ( 2 m  ± 2 n  ± 1) Cullen ( n ·2 n  + 1) Woodall ( n ·2 n  − 1) Cuban ( x 3  −  y 3)/( x  −  y) Carol (2 n  − 1) 2  − 2 Kynea (2 n  + 1) 2  − 2 Leyland ( x y  +  y x) Thabit ( 3·2 n  − 1) Williams ( ( b −1)· b n  − 1) Mills ( ⌊ A 3 n ⌋) By integer sequence Fibonacci Lucas Pell Newman–Shanks–Williams Perrin Partitions Bell Motzkin By property Wieferich ( pair) Wall–Sun–Sun Wolstenholme Wilson Lucky Fortunate Ramanujan Pillai Regular Strong Stern Supersingular (elliptic curve) Supersingular (moonshine theory) Good Super Higgs Highly cototient Base -dependent Happy Dihedral Palindromic Emirp Repunit (10 n  − 1)/9 Permutable Circular Truncatable Strobogrammatic Minimal Weakly Full reptend Unique Primeval Self Smarandache–Wellin Tetradic Patterns Twin ( p, p  + 2) Bi-twin chain ( n  − 1, n  + 1, 2 n  − 1, 2 n  + 1, …) Triplet ( p, p  + 2 or p  + 4, p  + 6) Quadruplet ( p, p  + 2, p  + 6, p  + 8) k −Tuple Cousin ( p, p  + 4) Sexy ( p, p  + 6) Chen Sophie Germain ( p, 2 p  + 1) Cunningham ( p, 2 p  ± 1, 4 p  ± 3, 8 p  ± 7,... ) Safe ( p, ( p  − 1)/2) Arithmetic progression ( p  +  a·n, n  = 0, 1, 2, 3,... ) Balanced ( consecutive p  −  n, p, p  +  n) By size Titanic (1, 000+ digits) Gigantic (10, 000+ digits) Mega (1, 000, 000+ digits) Largest known Complex numbers Eisenstein prime Gaussian prime Composite numbers Pseudoprime Catalan Elliptic Euler Euler–Jacobi Fermat Frobenius Somer–Lucas Carmichael number Almost prime Semiprime Interprime Pernicious Related topics Probable prime Industrial-grade prime Illegal prime Formula for primes Prime gap First 60 primes 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 103 109 127 131 137 139 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 List of prime numbers.

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Cunningham brothers. Cunningham park. Cunningham hockey. Cunningham funeral home colbert ok. April 3, 2018 2018-04-29T20:00:00-04:00 Lillian Cunningham, host and creator of the Washington Post 's “Presidential” and “Constitutional” podcasts, talked about the two series and how she learned to create and organize her episodes. She began “Presidential” as part of research for a 2015 project on the presidency. As she researched the topic, she realized how little she knew about presidential history and decided to create a podcast on each commander-in-chief as she learned about them. Audio clips were played from her podcasts on Presidents Ford, Cleveland, and William Henry Harrison. An audio clip from “Constitutional” was played in which she interviewed Gregory Watson, the impetus behind passage of the 27th Amendment, the last amendment added to the Constitution and which prevents Congress from giving itself a raise that takes effect during the session in which it was passed. Lillian Cunningham, host and creator of the Washington Post 's “Presidential” and “Constitutional” podcasts, talked about the two series and how she learned to… read more Lillian Cunningham, host and creator of the Washington Post 's “Presidential” and “Constitutional” podcasts, talked about the two series and how she learned to create and organize her episodes. An audio clip from “Constitutional” was played in which she interviewed Gregory Watson, the impetus behind passage of the 27th Amendment, the last amendment added to the Constitution and which prevents Congress from giving itself a raise that takes effect during the session in which it was passed. close Report Video Issue *This transcript was compiled from uncorrected Closed Captioning. Related Video April 1, 2018 Siraj Hashmi on Politics and the Media Siraj Hashmi talked about politics and the media. Topics included commentator Laura Ingraham’s break from her talk show… March 15, 2018 Conspiracy Ryan Holiday talked about the downfall of Gawker and the role played by venture capitalist Peter Thiel in bringing about the… May 20, 2018 Sean Spicer on President Trump and the Media Sean Spicer, former Trump administration press secretary, talked about President Trump’s relationship with the media. He also… August 3, 2018 Open Phones, Part 1 Telephone lines and social media were open for viewer comments on President Trump’s criticism of the media. User Created Clips from This Video 33 seconds 1 view.

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Creator RichardCunningham MD
Bio: Husband of Donna, dad of Burns, Kathryn, Michael & Whitaker, stepdad of Annaka, board certified orthopaedic surgeon, avid obstacle and trail racer. Go Vols!!

 

 

 

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