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 Operators B...

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 sense that you …

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 small. One can …

Jan 19, 2022 · Approximate solution to an equation with a high-degree polynomial Ask Question Asked 3 years, 11 months ago Modified 3 years, 11 months ago

Dec 12, 2018 · The Riemann zeta function admits the approximation $$\zeta (s)\sim\sum_ {n=1}^N\frac {1} {n^s}+\gamma (1-s)\sum_ {n=1}^M\frac {1} {n^ {1-s}},$$ in the critical strip, which is known as the …

Jan 1, 2023 · How to approximate $e^ {-x}$ when $x$ is large Ask Question Asked 2 years, 11 months ago Modified 2 years, 11 months ago

Apr 12, 2016 · I have been wondering for a long time whether there is a unequivocal way to define and use the symbols commonly adopted for an approximate equality between two quantities. I am a …

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 …

Aug 2, 2017 · The "and" is a pointer that (a) first we approximate and (b) then we compute exactly. The final result is an approximation only because of (a). Related to this, it is useful to tell students that …

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 $x = 0$.