For basic questions about limits, derivatives, integrals, and applications, mainly of one-variable functions.

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6
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Is the given binomial sum almost everywhere negative as $K\to\infty$?

The binomial sum is as follows: $$\mathcal {L}^K(\theta)= \sum_{i=\lceil{K/2}\rceil}^K \binom{K}{i}\theta^i\left((1-\theta)^{K-i}-\frac{1}{2}(1-\theta)^{-K}(1-2\theta)^{K-i}\right)$$ which can also ...
9
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6answers
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When are two series the same?

A series is an expression of the form $$ \sum_{n=k}^{\infty} a_n $$ where the $a_n$ are real numbers and they depend on $n$. If $a_n = b_n$ for all $n\geq k$, then I would assume that one would say ...
3
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1answer
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How is arithmetic overflow avoided by using the Dawson function over the erfi function?

I came across the term arithmetic overflow while reading up on the IEEE754 yesterday, and read up its definition and related terms as well. Today, while reading about the error function and its cousin ...