Question

Is haskell style pattern matching allowed in conventional mathematics and if not, how do you work out the numerator of an arbitrary rational number?

score 268 · Answer 1 · 2026-02-25 10:54:40

268

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Is haskell style pattern matching allowed in conventional mathematics and if not, how do you work out the numerator of an arbitrary rational number?

Published on 25 Feb 2026 - 10:54

score 968 · Answer 2 · 2026-04-02 03:47:38

968

Views

How do I find the square root of numbers without using a calculator?

Published on 02 Apr 2026 - 3:47

score 552 · Answer 3 · 2017-03-17 17:37:31

552

Views

Proving addition of rational numbers is well defined

Published on 17 Mar 2017 - 17:37

score 319 · Answer 4 · 2026-04-02 03:48:35

319

Views

Cardinality of rational number and irrational number

Published on 02 Apr 2026 - 3:48

score 85 · Answer 5 · 2026-03-28 06:59:04

85

Views

Simplification rules for roots of unity

Published on 28 Mar 2026 - 6:59

score 166 · Answer 6 · 2017-03-21 15:31:36

166

Views

Conditions on a rational number such that there exist equidistant integers?

Published on 21 Mar 2017 - 15:31

score 79 · Answer 7 · 2017-03-22 19:34:37

79

Views

Rate of rationals in a closed set

Published on 22 Mar 2017 - 19:34

score 92 · Answer 8 · 2026-03-31 17:34:09

92

Views

Is every subproduct of rational product is rational?

Published on 31 Mar 2026 - 17:34

score 23 · Answer 9 · 2026-03-31 18:54:11

23

Views

Is there a set the subproducts of which are always rational.

Published on 31 Mar 2026 - 18:54

score 802 · Answer 10 · 2026-04-03 03:36:21

802

Views

Examples of extension of $\Bbb Q$ or prove there are no such examples.

Published on 03 Apr 2026 - 3:36

score 36 · Answer 11 · 2017-03-25 10:16:06

36

Views

Let $a>1$, and let $r$ and $s$ be any rational numbers. Show that $r<s \iff a^r<a^s$

Published on 25 Mar 2017 - 10:16

score 62 · Answer 12 · 2026-04-01 05:12:35

62

Views

If $\frac{a\sqrt{2}+b}{b\sqrt{2}+c}$ is rational, then $a+b+c|ab+bc+ca$

Published on 01 Apr 2026 - 5:12

score 3.9k · Answer 13 · 2017-03-26 05:38:21

3.9k

Views

A nonempty open set that contains all rational numbers

Published on 26 Mar 2017 - 5:38

score 1.5k · Answer 14 · 2026-03-27 14:58:45

1.5k

Views

How to show every rational number can be expressed as two different continued fractions?

Published on 27 Mar 2026 - 14:58

score 51 · Answer 15 · 2017-03-31 17:02:47

51

Views

Number of values expressible as sum of reciprocals of small integers

Published on 31 Mar 2017 - 17:02

List Question

Is haskell style pattern matching allowed in conventional mathematics and if not, how do you work out the numerator of an arbitrary rational number?

How do I find the square root of numbers without using a calculator?

Proving addition of rational numbers is well defined

Cardinality of rational number and irrational number

Simplification rules for roots of unity

Conditions on a rational number such that there exist equidistant integers?

Rate of rationals in a closed set

Is every subproduct of rational product is rational?

Is there a set the subproducts of which are always rational.

Examples of extension of $\Bbb Q$ or prove there are no such examples.

Let $a>1$, and let $r$ and $s$ be any rational numbers. Show that $r<s \iff a^r<a^s$

If $\frac{a\sqrt{2}+b}{b\sqrt{2}+c}$ is rational, then $a+b+c|ab+bc+ca$

A nonempty open set that contains all rational numbers

How to show every rational number can be expressed as two different continued fractions?

Number of values expressible as sum of reciprocals of small integers

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