In numerical mathematics, one-step methods and multi-step methods are a large group of calculation methods for solving initial value problems. This problem...
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1768–1770). The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the...
27 KB (4,955 words) - 09:18, 4 June 2025
0625.\end{aligned}}} Euler's method is a one-step method. A simple multistep method is the two-step Adams–Bashforth method y n + 2 = y n + 1 + 3 2 h f...
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method is more sensitive than the one-step method. Kits are also useful for two-step RT-PCR. Just as for one-step PCR, use only intact, high-quality RNA...
45 KB (5,772 words) - 04:55, 7 June 2025
numerical analysis, a branch of applied mathematics, the midpoint method is a one-step method for numerically solving the differential equation, y ′ ( t )...
8 KB (1,243 words) - 21:32, 14 April 2024
error of the method is the error committed by one step of the method. That is, it is the difference between the result given by the method, assuming that...
28 KB (3,916 words) - 07:09, 27 January 2025
In numerical analysis, the split-step (Fourier) method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like...
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Columbia. When Armstrong first stepped onto the lunar surface, he famously said: "That's one small step for [a] man, one giant leap for mankind." It was...
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} Suppose we compute the sequence y n {\displaystyle y_{n}} with a one-step method of the form y n = y n − 1 + h A ( t n − 1 , y n − 1 , h , f ) . {\displaystyle...
8 KB (1,631 words) - 04:40, 14 June 2025
Resolution of singularities (section Newton's method)
and thus there are no singular points. Muhly & Zariski (1939) gave a one step method of resolving singularities of a curve by taking the normalization of...
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somewhat difficult to handle as a result; thus, the development of a one-pot, one-step method for silylation and nucleoside synthesis represented a significant...
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out by a two-step method in which a poly(amidocarboxylic acid) is prepared first, or directly by a one-step method. The two-step method is the most widely...
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into one. Either linear or closed circular molecules can be assembled. There are two approaches to Gibson assembly. A one-step method and a two-step method...
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The Kodály method, also referred to as the Kodály concept, is an approach to music education developed in Hungary during the mid-twentieth century by Zoltán...
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suffer from the same alcoholism, addictions, or compulsions. Twelve-step methods have been adapted to address a wide range of alcoholism, substance abuse...
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satisfied at each step of the method. For step sizes other than 1, the method is often referred to as the relaxed or damped Newton's method. If f is a strongly...
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Line search (redirect from Step-length algorithm)
various methods, such as gradient descent or quasi-Newton method. The step size can be determined either exactly or inexactly. Suppose f is a one-dimensional...
9 KB (1,339 words) - 01:59, 11 August 2024
The standard step method (STM) is a computational technique utilized to estimate one-dimensional surface water profiles in open channels with gradually...
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Trust region (redirect from Restricted step method)
methods are in some sense dual to line-search methods: trust-region methods first choose a step size (the size of the trust region) and then a step direction...
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DNA extraction (section Method selection)
commercial kits. There are many different methods for extracting DNA, but some common steps include: Lysis: This step involves breaking open the cells to release...
25 KB (3,236 words) - 02:14, 10 June 2025
The Nelder–Mead method (also downhill simplex method, amoeba method, or polytope method) is a numerical method used to find the minimum or maximum of an...
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CFOP method (Cross – F2L (first 2 layers) – OLL (orientate last layer) – PLL (permutate last layer)), also known as the Fridrich method, is one of the...
16 KB (2,320 words) - 07:24, 15 June 2025
Adaptive methods are designed to produce an estimate of the local truncation error of a single Runge–Kutta step. This is done by having two methods, one with...
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it requires two function evaluations per step, whereas the secant method requires only one evaluation per step, so it is not necessarily most efficient...
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Gradient descent (redirect from Gradient descent method)
previous step. The result is a path that zigzags toward the solution. This inefficiency is one reason conjugate gradient or preconditioning methods are preferred...
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Expectation–maximization algorithm (redirect from Expectation maximization method)
that the method had been "proposed many times in special circumstances" by earlier authors. One of the earliest is the gene-counting method for estimating...
50 KB (7,512 words) - 10:00, 10 April 2025
Providence, R.I., 1971. A. Stein and E. Teske, Optimized baby step-giant step methods, Journal of the Ramanujan Mathematical Society 20 (2005), no. 1...
7 KB (1,061 words) - 19:23, 24 January 2025
CNET. Retrieved August 13, 2024. Wilson, Ben (October 29, 2007). "One-step method for adding third-party apps to iPhone 1.1.1, iPod Touch debuts". CNET...
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domain methods can be further divided into one step methods (time domain sensitivities) and iterative methods (shooting methods). One step methods require...
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result of one step of Euler's method on the same initial value problem. So, Heun's method is a predictor-corrector method with forward Euler's method as predictor...
8 KB (1,278 words) - 09:07, 29 April 2024