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 …

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" (...

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 …

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 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 …

Nov 6, 2018 · Approximate $(0.99)^{300}$ without calculator. This question is in my textbook but i don't know how to approximate without calculator. How can i evaluate without calculator? Thanks in advance.

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+ ...