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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. 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) [76%] 2023-10-13
4. 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]...
5. Quenched approximation: In lattice field theory, the quenched approximation is an approximation often used in lattice gauge theory in which the quantum loops of fermions in Feynman diagrams are neglected. Equivalently, the corresponding one-loop determinants are set to one. (Neglecting the fermion determinant in lattice calculations) [70%] 2023-12-19 [Lattice field theory]
6. 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
7. 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]...
8. 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
9. Sigma approximation: In mathematics, σ-approximation adjusts a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities. A σ-approximated summation for a series of period T can be written as follows: \displaystyle{ s(\theta) = \frac{1}{2} a_0 ... [70%] 2023-03-14 [Fourier series] [Numerical analysis]...
10. Eikonal approximation: In theoretical physics, the eikonal approximation (Greek εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations which occur in optics, seismology, quantum mechanics, quantum electrodynamics, and partial wave expansion. The main advantage that the eikonal ... [70%] 2022-12-01 [Theoretical physics] [Mathematical analysis]...
11. 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]...
12. Simpliziale Approximation: In der Mathematik, speziell der algebraischen Topologie, ist die simpliziale Approximation einer stetigen Abbildung ein wichtiges Hilfsmittel, um kombinatorische und stetige Methoden miteinander zu verbinden. Der simpliziale Approximationssatz besagt, dass man jede stetige Abbildung zwischen Simplizialkomplexen (nach hinreichend feiner Unterteilung ... [70%] 2023-12-19
13. 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
14. Eikonal approximation: In theoretical physics, the eikonal approximation (Greek εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations which occur in optics, seismology, quantum mechanics, quantum electrodynamics, and partial wave expansion. The main advantage that the eikonal ... (Physics) [70%] 2023-08-25 [Theoretical physics] [Mathematical analysis]...
15. 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]
16. Chebyshev approximation: uniform approximation Approximation of a continuous function $f$ defined on a set $M$ by functions $S$ from a given class of functions, where the measure of approximation is the deviation in the uniform metric $$\rho(f,S)=\sup_{x\in ... (Mathematics) [70%] 2023-09-26
17. Linear approximation: In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first order methods for solving or approximating ... (Approximation of a function by its tangent line at a point) [70%] 2024-02-13 [Differential calculus] [Numerical analysis]...
18. Superstrong approximation: Superstrong approximation is a generalisation of strong approximation in algebraic groups G, to provide spectral gap results. The spectrum in question is that of the Laplacian matrix associated to a family of quotients of a discrete group Γ; and the gap ... [70%] 2023-12-17 [Algebraic groups] [Spectral theory]...
19. Derjaguin approximation: The Derjaguin approximation (or sometimes also referred to as the proximity approximation), named after the Russian scientist Boris Derjaguin, expresses the force profile acting between finite size bodies in terms of the force profile between two planar semi-infinite walls ... (Chemistry) [70%] 2023-12-17 [Physical chemistry] [Colloidal chemistry]...
20. Spline approximation: The approximate representation of a function, or the approximate reconstruction of a function in a given class from incomplete information (for example, from its values on a set of points), using splines (cf. Spline). (Mathematics) [70%] 2023-12-17