Definition & Betydelse | Engelska ordet APPROXIMATIONS

Definition av APPROXIMATIONS

1. böjningsform av approximation

Exempel på hur man kan använda APPROXIMATIONS i en mening

• for seminal research contributions over the past several decades, to the theory and applications of “stochastic networks/systems” and their “heavy traffic approximations.
• In information technology, lossy compression or irreversible compression is the class of data compression methods that uses inexact approximations and partial data discarding to represent the content.
• The measurements of many rivers' lengths are only approximations and may differ from each other because there are many factors that determine the calculated length of a river, such as the position of the geographical source and the mouth, the scale of measurement, and the technique used to measure length (see also List of river systems by length and coastline paradox).
• In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.
• The particle in a box model is one of the very few problems in quantum mechanics that can be solved analytically, without approximations.
• These calculations include systematically applied approximations intended to make calculations computationally feasible while still capturing as much information about important contributions to the computed wave functions as well as to observable properties such as structures, spectra, and thermodynamic properties.
• A method for finding very good approximations to the square roots of 2 and 3 are given in the Baudhayana Sulba Sutra.
• Taylor's theorem gives quantitative estimates on the error introduced by the use of such approximations.
• The inequality implies that Liouville numbers possess an excellent sequence of rational number approximations.
• In cryptography, linear cryptanalysis is a general form of cryptanalysis based on finding affine approximations to the action of a cipher.
• The partial sums of a power series are polynomials, the partial sums of the Taylor series of an analytic function are a sequence of converging polynomial approximations to the function at the center, and a converging power series can be seen as a kind of generalized polynomial with infinitely many terms.
• In general, the equation will be non-linear, and cannot be solved exactly so a variety of approximations must be used.
• In transcendence theory and diophantine approximations, the theorem that any Liouville number is transcendental.
• Approximations to the Heaviside step function are of use in biochemistry and neuroscience, where logistic approximations of step functions (such as the Hill and the Michaelis–Menten equations) may be used to approximate binary cellular switches in response to chemical signals.
• The latter, approximations with error bounds, are equivalent to small isolating intervals for real roots or disks for complex roots.
• This is intuitively correct as well: the "curvier" the function is, the worse the approximations made with simple linear interpolation become.
• A number used in error approximations for formulas that are applications of Taylor's theorem, such as Newton–Cotes formulas.
• The fourth section derives approximations, both numerical and geometrical, of irrational numbers such as square roots.
• Informality may not discern between statements given by inductive reasoning (as in approximations which are deemed "correct" merely because they are useful), and statements derived by deductive reasoning.
• However, DFT was not considered accurate enough for calculations in quantum chemistry until the 1990s, when the approximations used in the theory were greatly refined to better model the exchange and correlation interactions.

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