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LLT Championship
LLT may refer to: * Laser lithotripsy, a surgical procedure to remove urinary stones * LLT GM High Feature engine, a type of engine *Lucas–Lehmer primality test In mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers. The test was originally developed by Édouard Lucas in 1876 and subsequently improved by Derrick Henry Lehmer in the 1930s. The test The Lucas–Lehmer test ... for Mersenne numbers * Cholesky decomposition, an algorithm to decompose matrix A into a lower Matrix L : A = LLT. * Linus Media Group, a tech media group based in canada. {{dab ...
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Laser Lithotripsy
Laser lithotripsy is a Surgery, surgical procedure to remove Urolithiasis, stones from urinary tract, i.e., kidney, ureter, bladder, or urethra. History Laser lithotripsy was invented at the Wellman Center for Photo medicine at Massachusetts General Hospital in the 1980s to remove impacted urinary stones. Optical fibers carry light pulses that pulverize the stone. Candela Corp, Candela licensed the technology and released the first commercial laser lithotripsy system. Initially 504 nm dye lasers were used, then holmium lasers were studied in the 1990s. Procedure A Urology, urologist inserts a scope into the urinary tract to locate the stone. The scope may be a Cystoscopy, cystoscope, ureteroscopy, ureteroscope, renoscope or nephroscope. An optical fiber is inserted through the working channel of the scope, and laser light is directly emitted to the stone. The stone is fragmented and the remaining pieces are collected in a "basket" and/or washed out of the Urinary system, urin ...
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GM High Feature Engine
The GM High Feature engine (also known as the HFV6, and including the 3600 LY7 and derivative LP1) is a family of modern General Motors DOHC V6 engines. The series was introduced in 2004 with the Cadillac CTS and the Holden Commodore (VZ). It is a 60° 24-valve design with aluminum block and heads and sequential multi-port fuel injection. Most versions feature continuously variable cam phasing on both intake and exhaust valves and electronic throttle control. Other features include piston oil-jet capability, forged and fillet rolled crankshaft, sinter forged connecting rods, a variable-length intake manifold, twin knock control sensors and coil-on-plug ignition. It was developed by the same international team responsible for the Ecotec, including the Opel engineers responsible for the 54° V6, with involvement with design and development engineering from Ricardo plc. Holden sold a HFV6 engine under the name Alloytec. The High Feature moniker on the Holden produced engine is res ...
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Lucas–Lehmer Primality Test
In mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers. The test was originally developed by Édouard Lucas in 1876 and subsequently improved by Derrick Henry Lehmer in the 1930s. The test The Lucas–Lehmer test works as follows. Let ''M''''p'' = 2''p'' − 1 be the Mersenne number to test with ''p'' an odd prime. The primality of ''p'' can be efficiently checked with a simple algorithm like trial division since ''p'' is exponentially smaller than ''M''''p''. Define a sequence \ for all ''i'' ≥ 0 by : s_i= \begin 4 & \texti=0; \\ s_^2-2 & \text \end The first few terms of this sequence are 4, 14, 194, 37634, ... . Then ''M''''p'' is prime if and only if :s_ \equiv 0 \pmod. The number ''s''''p'' − 2 mod ''M''''p'' is called the Lucas–Lehmer residue of ''p''. (Some authors equivalently set ''s''1 = 4 and test ''s''''p''−1 mod ''M''''p''). In pseudocode, the t ...
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Cholesky Decomposition
In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced ) is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions, e.g., Monte Carlo simulations. It was discovered by André-Louis Cholesky for real matrices, and posthumously published in 1924. When it is applicable, the Cholesky decomposition is roughly twice as efficient as the LU decomposition for solving systems of linear equations. Statement The Cholesky decomposition of a Hermitian positive-definite matrix A, is a decomposition of the form : \mathbf = \mathbf^*, where L is a lower triangular matrix with real and positive diagonal entries, and L* denotes the conjugate transpose of L. Every Hermitian positive-definite matrix (and thus also every real-valued symmetric positive-definite matrix) has a unique Cholesky decomposition. The converse holds trivially: if A can be ...
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