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Approximation of angle relationships in arbitrary triangle

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#trigonometry #approximation
53
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Explanation for standard deviation rule-of-thumb, $s\approx \text{range}/4$

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#statistics #approximation #standard-deviation
45
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Bounding $\int^{\infty}_{0} \int^{\infty}_{0} \frac{dx}{1+x^2} \frac{dy}{1+y^2} \frac{\sinh(\pi x) \sinh(\pi y)}{\sinh(\pi (x+y))}$ close to $1$

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#definite-integrals #approximation
42
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Second-order Taylor expansion for Operators

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#ordinary-differential-equations #derivatives #operator-theory #approximation #nonlinear-analysis
75
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Tight bound for a sum of binomial coefficients

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#combinatorics #summation #binomial-coefficients #approximation #upper-lower-bounds
58
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Expansion of $1/\log\left(\dfrac{f(a)^2 - f(x)^2}{f(a)^2 + f(x)^2}\right)$ around $a$

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#calculus #taylor-expansion #approximation
77
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Convergence rate for Chebyshev polynomials to approximate $\text{erf}(x)$ on a subset of $\mathbb{R}$

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#approximation #approximation-theory #error-function #chebyshev-polynomials
260
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How to evaluate $\sum_{i=1}^n i^{2 i}$?

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#sequences-and-series #approximation
45
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Coupled non-linear PDE analytical solution to verify numerical solution.

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#partial-differential-equations #numerical-methods #approximation #finite-differences
200
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How to approximate the median of the numbers in the first $n$ rows of Pascal's triangle?

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#logarithms #asymptotics #binomial-coefficients #approximation #median
64
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"Formal" asymptotic approximation of an integral

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#real-analysis #integration #definite-integrals #asymptotics #approximation
54
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Multiplicative Harmonic Series

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#sequences-and-series #functions #approximation #factorial #products
64
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How to approximate $\ln \left( {{e^{{x_1}}} - {e^{{x_2}}}} \right)$?

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#approximation #approximation-theory
48
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Point in use of Taylor Series to approximate functions in an age with computers?

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#numerical-methods #taylor-expansion #approximation #simulation #numerical-calculus
49
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More efficient methods of approximating Bessel functions of the second kind

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#numerical-methods #approximation #bessel-functions

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