List questions from rational-functions

Published on 29 Mar 2026 - 8:44

38

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Number of solution of a rational sum

Published on 09 Feb 2020 - 20:47

165

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How do I invert the rational map $(x,y)\mapsto \frac xy$ over the variety $C=(y^3=x^4+x^3)$?

Published on 25 Mar 2026 - 12:28

50

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Possibility/impossibility of algebraic sum?

Published on 17 Mar 2026 - 9:21

135

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Given $f(x) = \frac1{ax+b}$, for which $a$, $b$ such that $x_1=f(x_3) $, $ x_2=f(x_1) $, $x_3=f(x_2) $ are distinctive

Published on 26 Mar 2026 - 1:29

138

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Numerical methods: forward difference operator

Published on 26 Mar 2026 - 13:07

214

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How to graph rational functions?

Published on 28 Feb 2020 - 1:10

145

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How would you characterise the inverse image of this polynomial equation?

Published on 10 Mar 2020 - 12:35

73

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Rational function $\frac {x^2+a} {x}$ : how does number $a$ influence the graph of the function?

Published on 10 Mar 2020 - 18:15

80

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How far (for which $p$) can we generalize $\int x^p \mathrm{d}x=\frac{x^{p+1}}{p+1} + C,p\neq-1 $?

Published on 26 Mar 2026 - 1:18

46

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$\frac{f(X)}{g(X)} = \frac{f(-X)}{g(-X)} ∈ ℚ(X)$

Published on 24 Mar 2020 - 18:27

74

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$\sum_{k=0}^n \sum_{j=0}^k { {n} \choose {j}} { {n-j} \choose {k-j}} \left( \frac{x}{1-x}\right)^k = \left( \frac{1+x}{1-x} \right)^n$

Published on 26 Mar 2020 - 17:07

79

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Why $y=0$ is included in the range of $f(x)=\frac{2x}{x^2 + 1}$?

Published on 31 Mar 2020 - 17:13

198

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Can I find the degree of an expression?

Published on 03 Apr 2020 - 17:51

46

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Is $(x_1,x_2) \mapsto \frac{x_1}{a-x_2}+b$ convex?

Published on 25 Mar 2026 - 23:16

List Question

Calculate the fixed field of these automorphisms

Number of solution of a rational sum

How do I invert the rational map $(x,y)\mapsto \frac xy$ over the variety $C=(y^3=x^4+x^3)$?

Possibility/impossibility of algebraic sum?

Given $f(x) = \frac1{ax+b}$, for which $a$, $b$ such that $x_1=f(x_3) $, $ x_2=f(x_1) $, $x_3=f(x_2) $ are distinctive

Numerical methods: forward difference operator

How to graph rational functions?

How would you characterise the inverse image of this polynomial equation?

Rational function $\frac {x^2+a} {x}$ : how does number $a$ influence the graph of the function?

How far (for which $p$) can we generalize $\int x^p \mathrm{d}x=\frac{x^{p+1}}{p+1} + C,p\neq-1 $?

$\frac{f(X)}{g(X)} = \frac{f(-X)}{g(-X)} ∈ ℚ(X)$

$\sum_{k=0}^n \sum_{j=0}^k { {n} \choose {j}} { {n-j} \choose {k-j}} \left( \frac{x}{1-x}\right)^k = \left( \frac{1+x}{1-x} \right)^n$

Why $y=0$ is included in the range of $f(x)=\frac{2x}{x^2 + 1}$?

Can I find the degree of an expression?

Is $(x_1,x_2) \mapsto \frac{x_1}{a-x_2}+b$ convex?

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