List questions from elementary-functions

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Parameters leading to an elementary integral

Published on 31 May 2016 - 16:45

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Disprove: $g \circ f$ is injective $ \implies g$ is injective

Published on 03 Jun 2016 - 5:27

575

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Prove $f: A \rightarrow B$ is strictly injective, $\implies$ $f^{-1}$ is a function and dom $ f^{-1} \subset B$

Published on 05 Jun 2016 - 1:29

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Let $a, b \in \mathbb{R}$. For $f(x) = ax+b$, under what conditions on $a$ and $b$ is $f$ a bijection?

Published on 05 Jun 2016 - 4:33

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Prove: if $f:\mathbb{N} \rightarrow A, g:\mathbb{N} \rightarrow B$ are surjections, there exists a surjection $h:\mathbb{N} \rightarrow A \cup B$

Published on 05 Jun 2016 - 21:38

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Graphical explanation of the difference between $C^1$ and $C^2$ function?

Published on 11 Jun 2016 - 13:25

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Polynomials with degree $5$ solvable in elementary functions?

Published on 16 Jun 2016 - 13:57

85

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Integral of a product of a cosine function with argument x and a confluent hypergeometric function with argument $x^2$

Published on 27 Jun 2016 - 12:32

111

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Is the following statement provable?

Published on 29 Jun 2016 - 6:27

387

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Given $L(y) = \int_ {1}^{y}\frac{1}{t}dy$ , $y\in(0, \infty)$

Published on 11 Apr 2013 - 21:05

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Mathematical Systems Question Help

Published on 22 May 2013 - 5:07

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Train and horseman velocity

Published on 31 May 2013 - 15:37

115

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Elementary lower bounds for $n^{1/n}$

Published on 12 Jun 2013 - 18:20

196

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About the functional inverse of integrals and infinite products.

Published on 04 Jul 2013 - 23:31

List Question

$ax + by = c$, c is always 0?

Parameters leading to an elementary integral

Disprove: $g \circ f$ is injective $ \implies g$ is injective

Prove $f: A \rightarrow B$ is strictly injective, $\implies$ $f^{-1}$ is a function and dom $ f^{-1} \subset B$

Let $a, b \in \mathbb{R}$. For $f(x) = ax+b$, under what conditions on $a$ and $b$ is $f$ a bijection?

Prove: if $f:\mathbb{N} \rightarrow A, g:\mathbb{N} \rightarrow B$ are surjections, there exists a surjection $h:\mathbb{N} \rightarrow A \cup B$

Graphical explanation of the difference between $C^1$ and $C^2$ function?

Polynomials with degree $5$ solvable in elementary functions?

Integral of a product of a cosine function with argument x and a confluent hypergeometric function with argument $x^2$

Is the following statement provable?

Given $L(y) = \int_ {1}^{y}\frac{1}{t}dy$ , $y\in(0, \infty)$

Mathematical Systems Question Help

Train and horseman velocity

Elementary lower bounds for $n^{1/n}$

About the functional inverse of integrals and infinite products.

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