# Questions tagged [constants]

For questions about mathematical constants, that are "significantly interesting in some way".

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### Is it "ok" to see constants as a "section" in $n$ dimentional space to get to lower dimentionality space?

Given that in $y=5x$, $5$ is a constant (let's call it $a=5$) in a 2d graph. I thought that it could be seen as a simplification of a more general case of some 3d space where $y$ is a function of both ...
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### Prove $\int_0^\infty (1-\exp(-\operatorname{Ei}(t)))dt=\int_0^\infty\exp(-t-\operatorname{Ei}(t))dt$

How to prove $$\int_0^\infty (1-\exp(-\operatorname{Ei}(t)))dt=\int_0^\infty\exp(-t-\operatorname{Ei}(t))dt$$ where $\operatorname{Ei}(t)=\int_1^\infty \frac{\exp(-xt)}{x} dx$? This constant value is ...
• 1,213
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### Function for the Champernowne constant that returns the digit position of any number.

In this paper, an equation is provided for locating the first occurance of any 10^n number: My question is if there is a generalized version of this equation that locates any number (eg, 314159), not ...
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1 vote
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### Are all constants of integration $C$ equal?

This is a question from very (very) basic calculus, but it concerns indefinite integrals and the constant $C$ we always add when we find the antiderivative. This concerns some problems with ...
1 vote
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• 6,549
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### What's the arithmetic form of the value $k$ in this graph?

https://www.desmos.com/calculator/m1kaifseq0 in order to get the control points to line up properly, I had to use trial and error to determine the value for this strange constant $k$ at the bottom of ...
• 327
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### About an odd constant in a longest arrangement problem

In my previous question about the longest chain of $n$-digit square numbers where last digit equal the first digit of next, the nice solution given by Misha Lavrov took me to consider the ratio of the ...
• 843
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### Euler-Mascheroni Constant in the Cosine Integral?

I came across this integral when doing calculus homework (Integration by parts) $$\int \frac{\cos x}x \, dx$$ It turned out in the end that there was a typo in the original question and this integral ...
### Prove that any continuous function $f:S_\Omega \rightarrow \mathbb{R}$ is eventually constant.
Let $\Omega$ be the first non-numerable ordinal number ( $\aleph_1$ is the first cardinal number greater than $\aleph_0$ when treated as an ordinal number is denoted by $\Omega$ ) and let $[0,\Omega)$ ...