List questions from approximation

Published on 13 Apr 2026 - 9:59

97

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Prove the inequality $\ln\left(\Gamma(x^x+1)\right)< x^x\ln\left(\Gamma(x+1)\right)$ for $0<x<1$

Published on 17 Apr 2026 - 16:04

39

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Please help with this approximation problem

Published on 11 Apr 2026 - 16:52

76

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Show that $\Gamma\left(3^{-3}+1\right)<\Gamma \left(\operatorname{W}(3)^{-\operatorname{W}(3)}+1\right)$

Published on 17 Apr 2026 - 7:53

258

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Large n approximation of double factorial

Published on 16 Apr 2026 - 8:50

56

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Is it true that $ e^x-\sum_{k=0}^n \frac{x^k}{k!} \leq e^x\frac{x}{n}?$

Published on 14 Apr 2026 - 3:55

59

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Solving a hard limit by approximating the sine function

Published on 14 Apr 2026 - 4:19

2.1k

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Taylor series expansion about point $x_0 + \epsilon$

Published on 15 Apr 2026 - 18:56

8.8k

Views

Verify the given linear approximation and determine the values of x for which it is accurate within 0.1

Published on 15 Apr 2026 - 20:30

218

Views

Approximate a positive Schwartz function

Published on 11 Apr 2026 - 10:48

60

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A mathematical foundation of Monte Carlo simulations: contribution from the literature?

Published on 10 Apr 2026 - 22:46

518

Views

Composite Trapezoid Rule Error Function

Published on 13 Apr 2026 - 14:59

1k

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Approximation for Beta distribution

Published on 15 Apr 2026 - 8:12

31

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Is the integration of the approximation of the gradient, the approximation of the original function?

Published on 15 Apr 2026 - 11:37

4.6k

Views

Looking for a function that approximates a parabola

Published on 15 Apr 2026 - 23:55

List Question

What is this numerical approximation for definite integrals?

Prove the inequality $\ln\left(\Gamma(x^x+1)\right)< x^x\ln\left(\Gamma(x+1)\right)$ for $0<x<1$

Please help with this approximation problem

Show that $\Gamma\left(3^{-3}+1\right)<\Gamma \left(\operatorname{W}(3)^{-\operatorname{W}(3)}+1\right)$

Large n approximation of double factorial

Is it true that $ e^x-\sum_{k=0}^n \frac{x^k}{k!} \leq e^x\frac{x}{n}?$

Solving a hard limit by approximating the sine function

Taylor series expansion about point $x_0 + \epsilon$

Verify the given linear approximation and determine the values of x for which it is accurate within 0.1

Approximate a positive Schwartz function

A mathematical foundation of Monte Carlo simulations: contribution from the literature?

Composite Trapezoid Rule Error Function

Approximation for Beta distribution

Is the integration of the approximation of the gradient, the approximation of the original function?

Looking for a function that approximates a parabola

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