Question

Prove that for all $x \in R$ at least one of $\sqrt{3}-x$ or $\sqrt{3}+x$ is irrational

score 253 · Answer 1 · 2026-04-17 00:31:02

253

Views

Prove that for all $x \in R$ at least one of $\sqrt{3}-x$ or $\sqrt{3}+x$ is irrational

Published on 17 Apr 2026 - 0:31

score 50 · Answer 2 · 2026-04-09 00:11:57

50

Views

Proof: complex analysis

Published on 09 Apr 2026 - 0:11

score 24 · Answer 3 · 2026-04-12 03:17:05

24

Views

What rule allows the separation of $ p \rightarrow (a \lor c)$?

Published on 12 Apr 2026 - 3:17

score 1.9k · Answer 4 · 2026-04-25 02:33:11

1.9k

Views

Prove that if $r^2$ is irrational then $r$ is irrational.

Published on 25 Apr 2026 - 2:33

score 130 · Answer 5 · 2026-04-16 02:08:35

130

Views

Show that a certain set of invertible matrices is a normal subgroup of another set of invertible matrices (triangular)

Published on 16 Apr 2026 - 2:08

score 35 · Answer 6 · 2026-04-11 00:33:02

35

Views

Formal proof method for predicate logics

Published on 11 Apr 2026 - 0:33

score 192 · Answer 7 · 2026-04-17 09:17:43

192

Views

How to prove that eigenvalues of a symmetric matrix with respect to a metric are real, and that there always exists an eigenbasis?

Published on 17 Apr 2026 - 9:17

score 35 · Answer 8 · 2026-04-09 03:13:23

35

Views

Formalizing Intuition on Limits with Integrals

Published on 09 Apr 2026 - 3:13

score 83 · Answer 9 · 2026-04-09 04:26:44

83

Views

Complex analysis: identity verification

Published on 09 Apr 2026 - 4:26

score 54 · Answer 10 · 2026-04-15 01:12:10

54

Views

Andrew wants to cross a 12-foot long bridge. He can either take a 1 foot step or a 2 foot step.Provide a recursive formula for this problem.

Published on 15 Apr 2026 - 1:12

score 355 · Answer 11 · 2026-04-14 19:26:57

355

Views

Proof of $|1-\bar zw|=|1-z\bar w|$.

Published on 14 Apr 2026 - 19:26

score 69 · Answer 12 · 2026-04-13 03:47:02

69

Views

Showing the co-ordinates of the mid point of a line segment (from Stewart Analytic Geometry Review).

Published on 13 Apr 2026 - 3:47

score 177 · Answer 13 · 2026-04-11 14:32:52

177

Views

Proving that a non-negative additive set function is monotonous

Published on 11 Apr 2026 - 14:32

score 296 · Answer 14 · 2026-04-15 16:39:08

For all integers $w, x, y, z$ with $w\neq{y}$ and $wz-xy\neq0$, prove that there exists a unique rational number $r$ such that $(wr+x)\div(yr+z)=1$

score 1.4k · Answer 15 · 2026-04-15 15:42:42

1.4k

Views

Show that given any rational number $x$, there exists an integer $y$ such that $x^2y$ is an integer

Published on 15 Apr 2026 - 15:42

List Question

Prove that for all $x \in R$ at least one of $\sqrt{3}-x$ or $\sqrt{3}+x$ is irrational

Proof: complex analysis

What rule allows the separation of $ p \rightarrow (a \lor c)$?

Prove that if $r^2$ is irrational then $r$ is irrational.

Show that a certain set of invertible matrices is a normal subgroup of another set of invertible matrices (triangular)

Formal proof method for predicate logics

How to prove that eigenvalues of a symmetric matrix with respect to a metric are real, and that there always exists an eigenbasis?

Formalizing Intuition on Limits with Integrals

Complex analysis: identity verification

Andrew wants to cross a 12-foot long bridge. He can either take a 1 foot step or a 2 foot step.Provide a recursive formula for this problem.

Proof of $|1-\bar zw|=|1-z\bar w|$.

Showing the co-ordinates of the mid point of a line segment (from Stewart Analytic Geometry Review).

Proving that a non-negative additive set function is monotonous

For all integers $w, x, y, z$ with $w\neq{y}$ and $wz-xy\neq0$, prove that there exists a unique rational number $r$ such that $(wr+x)\div(yr+z)=1$

Show that given any rational number $x$, there exists an integer $y$ such that $x^2y$ is an integer

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