Search for "Approximations" in article titles:

1. Diophantine approximations: The branch of number theory whose subject is the approximation of zero by values of functions of a finite number of integer arguments. The original problems of Diophantine approximations concerned rational approximations to real numbers, but the development of the ... (Mathematics) [100%] 2023-10-13
2. Effective medium approximations: In materials science, effective medium approximations (EMA) or effective medium theory (EMT) pertain to analytical or theoretical modeling that describes the macroscopic properties of composite materials. EMAs or EMTs are developed from averaging the multiple values of the constituents that ... (Physics) [81%] 2023-01-06 [Condensed matter physics] [Physical chemistry]...
3. Gaussian process approximations: In statistics and machine learning, Gaussian process approximation is a computational method that accelerates inference tasks in the context of a Gaussian process model, most commonly likelihood evaluation and prediction. Like approximations of other models, they can often be expressed ... [81%] 2023-11-02 [Geostatistics] [Computational science]...
4. Best approximations, sequence of: A sequence $ \{ E (x, F _ {n} ) \} $, $ n = 1, 2 \dots $ of numbers, where $ E (x, F _ {n} ) $ is the best approximation of an element $ x $ of a normed linear space $ X $ by elements of an $ n $- dimensional subspace ... (Mathematics) [70%] 2023-10-17

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1. Approximation: An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus, from proximus meaning very near and the prefix ad- (ad- before p becomes ap- by assimilation) meaning ... (Something roughly the same as something else) [100%] 2024-02-16 [Approximations] [Numerical analysis]...
2. Approximation: The replacement of mathematical objects by others which resemble them in certain respects. It is possible to study in this way numerical characteristics and qualitative properties of an object by reducing the problem to the study of simpler or more ... (Mathematics) [100%] 2023-12-18
3. Approximation algorithm: In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with provable guarantees on the distance of the returned solution to the optimal one. Approximation algorithms naturally ... (Class of algorithms that find approximate solutions to optimization problems) [70%] 2024-01-09 [Computational complexity theory] [Approximation algorithms]...
4. Artin approximation: Let $( A , m )$ be a Noetherian local ring and $\hat{A}$ its completion. $A$ has the Artin approximation property (in brief, $A$ has AP) if every finite system of polynomial equations over $A$ has a solution in $A$ if it ... (Mathematics) [70%] 2023-12-20
5. Approximation theory: In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. What is meant by best and simpler will depend on the application. (Theory of getting acceptably close inexact mathematical calculations) [70%] 2023-12-20 [Approximation theory] [Numerical analysis]...
6. Approximation solvability: A-solvability Let $X$ and $Y$ be Banach spaces (cf. also Banach space), let $T : X \rightarrow Y$ be a, possibly non-linear, mapping (cf. (Mathematics) [70%] 2023-10-19
7. Approximation property: In mathematics, specifically functional analysis, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators. The converse is always true. [70%] 2024-01-05 [Operator theory] [Banach spaces]...
8. Approximation theory: In mathematics, approximation theory is concerned with how functions can be best approximated with simpler functions, and with quantitatively characterising the errors introduced thereby. What is meant by best and simpler will depend on the application. [70%] 2023-06-09
9. Approximation error: The approximation error in a data value is the discrepancy between an exact value and some approximation to it. This error can be expressed as an absolute error (the numerical amount of the discrepancy) or as a relative error (the ... [70%] 2022-09-19 [Numerical analysis]