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15
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Accurate approximation of a Path

Published on
#polynomials #numerical-methods #approximation #spline #error-function
430
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How to show that errors exhibit a quadratic convergence

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#sequences-and-series #numerical-methods #approximation #newton-raphson
536
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Most accurate way to calculate matrix powers and matrix exponential for a positive semidefinite matrix

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#matrices #numerical-methods #approximation #matrix-calculus #numerical-linear-algebra
57
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For each $\epsilon>0$ there is a polynomial $p\colon\mathbb{C}\to\mathbb{C}$ such that $|p(x)-|x||<\epsilon$ for all $x\in[-r,r]$.

Published on
#real-analysis #polynomials #approximation #absolute-value #weierstrass-approximation
23
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Conversion tricks for unimodal functions

Published on
#functions #graphing-functions #approximation
111
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Approximating nonlinear first order recurrence with differential equation

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#probability #ordinary-differential-equations #recurrence-relations #approximation
87
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Tight bounds for $\Phi_n(b)$?

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#elementary-number-theory #approximation #cyclotomic-polynomials
85
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How many digits of $\pi$ are needed to approximate $\pi^n$ correctly to the nearest whole number?

Published on
#approximation #pi
32
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Approximation for $\int dx\, f(x) / (x-x_0) \exp (-g(x)^2 / (x-x_0)^2)$

Published on
#integration #power-series #taylor-expansion #approximation #gaussian-integral
41
Views

ODE Euler approximation converging to exact solution

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#ordinary-differential-equations #approximation
42
Views

Show that $\lim _{n \rightarrow+\infty} \sup _{x \in[0,1]}\left|f(x)-\mathcal{P}_{n}(x)\right|=0$

Published on
#probability-theory #continuity #uniform-convergence #approximation
32
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Hypervolume of irregular convex polygons

Published on
#geometry #approximation #volume #computational-geometry #convex-geometry
37
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How to solve linnear approximation - a calculus problem

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#calculus #approximation
114
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Approximation of subtraction of modified Bessel functions of first kind

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#asymptotics #special-functions #approximation #bessel-functions
85
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Absolute error formula

Published on
#calculus #algebra-precalculus #numerical-methods #approximation #rounding-error

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