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...

Jan 31, 2013 · 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 …

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 …

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 …

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 …

An Opening Note : First of all, I want to make this very clear that by the phrase "without using trigonometry tables", I mean without using them to find $\\sin$ values of the "non-standard angles" (...

Jan 1, 2023 · When the value of $x$ is small, such as when $x$ is less than $1$, we can use the Taylor series to approximate its behavior. The first few terms of the series often ...

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. Is there a …

Oct 2, 2018 · Recently, I've seen a YouTube video where they approximate square roots real quick. They use this approximation : $$\\sqrt{x} \\approx \\lfloor \\sqrt{x} \\rfloor+ ...

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 e3.3 e 3.3, we have …