In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical …

Feb 25, 2017 · An approximate identity (in the sense that you've described) is a sequence of operators, usually derived from some "nice" class, that converge to the identity operator in the …

One can, for example, approximate continuous functions with polynomial functions, in which case the idea is to keep the area between the original function and the approximating function …

Dec 12, 2018 · The interest of the Riemann-Siegel formula (and the approximate functional equation) is that alternative evaluations of ζ(s) ζ (s) using the finite sum ∑ n=1X 1 ns ∑ n = 1 X …

Aug 12, 2015 · To indicate approximate equality, one can use ≃, ≅, ~, ♎, or ≒. I need to indicate an approximate inequality. Specifically, I know A is greater than a quantity of approximately B. …

Jan 19, 2022 · Approximate solution to an equation with a high-degree polynomial Ask Question Asked 3 years, 9 months ago Modified 3 years, 9 months ago

Jul 7, 2017 · And he could approximate small values by performing some mental math to get an accurate approximation to three decimal places. For example, approximating $e^ {3.3}$, we …

Apr 13, 2017 · I'm trying to approximate $\coth (x)$ around $x = 0$, up to say, third order in $x$. Now obviously a simple taylor expansion doesn't work, as it diverges around $x = 0$.

Is there a method to mentally evaluate $e^{-x}$ for $x>0$? Just to have an idea when computing probabilities or anything that is an exponential function of some ...

We want to (manually) approximate $\sqrt {2}$ by using the first few terms of the binomial series expansion of \begin {align*} \sqrt {1-2x}&= \sum_ {n=0}^\infty \binom {\frac {1} {2}} {n} ( …