List questions from rational-functions

Published on 16 Feb 2016 - 15:37

54

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integrate $\int \frac{x^2+x+1}{3x^2-2x-5}$

Published on 17 Feb 2016 - 16:06

38

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Does this equation has a closed form solution?

Published on 21 Feb 2016 - 23:43

643

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Does $f(x) = 1 = \frac{x-1}{x-1}$ have a hole at $x=1$?

Published on 24 Feb 2016 - 13:07

121

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Quickest way to factorize $\frac{w^2 + 5kw + 4k^2}{w^2+kw}$

Published on 05 Mar 2016 - 3:12

43

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$\{a x^{z}: a\in \Bbb{Q}, z \in \Bbb{Z}\} \approx \Bbb{Q}^{\times} \otimes_{\Bbb{Z}} \Bbb{Z}^+ \implies$? what about $\Bbb{Q}$-linear sums?

Published on 08 Mar 2016 - 6:35

1.6k

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Has this chaotic map been studied?

Published on 26 Mar 2026 - 9:36

419

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What is known about this group reminiscent of the anharmonic group?

Published on 11 Mar 2016 - 23:22

35

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Why is this a correct way to multiply 2 terms together?

Published on 13 Mar 2016 - 2:20

1.1k

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The best way of integrating irrational functions

Published on 15 Mar 2016 - 17:24

3.2k

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How do I multiply $\frac{8y-4}{10y-5}\times \frac{5y-15}{3y-9}$?

Published on 18 Mar 2016 - 0:42

847

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How would I divide $\frac{4x^2-2x}{x^2+5x+4}\div \frac{2x}{x^2+2x+1}$?

Published on 18 Mar 2016 - 1:12

282

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Showing that the field of rational functions is not dense

Published on 25 Mar 2016 - 2:45

132

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Simplify $\frac{5x}{x^2 - x - 6} + \frac{4}{x^2 + 4x + 4}$

Published on 13 Apr 2016 - 6:20

228

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Does every non-Archimedean ordered field contain $\mathbb Q (x)$ as an ordered subfield?

Published on 26 Mar 2026 - 9:48

List Question

Indefinite integral of rational functions

integrate $\int \frac{x^2+x+1}{3x^2-2x-5}$

Does this equation has a closed form solution?

Does $f(x) = 1 = \frac{x-1}{x-1}$ have a hole at $x=1$?

Quickest way to factorize $\frac{w^2 + 5kw + 4k^2}{w^2+kw}$

$\{a x^{z}: a\in \Bbb{Q}, z \in \Bbb{Z}\} \approx \Bbb{Q}^{\times} \otimes_{\Bbb{Z}} \Bbb{Z}^+ \implies$? what about $\Bbb{Q}$-linear sums?

Has this chaotic map been studied?

What is known about this group reminiscent of the anharmonic group?

Why is this a correct way to multiply 2 terms together?

The best way of integrating irrational functions

How do I multiply $\frac{8y-4}{10y-5}\times \frac{5y-15}{3y-9}$?

How would I divide $\frac{4x^2-2x}{x^2+5x+4}\div \frac{2x}{x^2+2x+1}$?

Showing that the field of rational functions is not dense

Simplify $\frac{5x}{x^2 - x - 6} + \frac{4}{x^2 + 4x + 4}$

Does every non-Archimedean ordered field contain $\mathbb Q (x)$ as an ordered subfield?

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