Question

Invertibility of $I-A^s$ for each $s \geq 1$ implying nilpotence

score 204 · Answer 1 · 2026-04-15 06:30:46

204

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Invertibility of $I-A^s$ for each $s \geq 1$ implying nilpotence

Published on 15 Apr 2026 - 6:30

score 116 · Answer 2 · 2026-04-15 08:27:50

116

Views

Find the relationship between $x$ and $y$ so that $y:=0\rightarrow\frac{\pi}{2}\Leftrightarrow x:=y\rightarrow\frac{\pi}{2}$

Published on 15 Apr 2026 - 8:27

score 57 · Answer 3 · 2026-04-12 10:19:07

57

Views

Proof regarding Rolle's and Intermediate value theorems.

Published on 12 Apr 2026 - 10:19

score 59 · Answer 4 · 2026-04-11 09:19:44

59

Views

Doubt on proof of characterization of polynomials

Published on 11 Apr 2026 - 9:19

score 27 · Answer 5 · 2026-04-09 04:02:53

27

Views

Proof regarding differential function and limits

Published on 09 Apr 2026 - 4:02

score 257 · Answer 6 · 2026-04-14 11:10:29

257

Views

Is this an acceptable proof that $x^2<y^2$ when $x$ and $y$ are positive reals with $x<y$?

Published on 14 Apr 2026 - 11:10

score 781 · Answer 7 · 2026-04-12 02:51:24

781

Views

Proving the Mean Value Theorem Without Rolle's Theorem

Published on 12 Apr 2026 - 2:51

score 67 · Answer 8 · 2026-04-17 14:51:54

67

Views

Given a sequence $\{u_{n}\}$ so that $\left\{\begin{matrix} u_0=a>1\\u_{n+1}=\sqrt{1+\frac{1}{1+u_n}}\end{matrix}\right..$ Find $\lim u_n.$

Published on 17 Apr 2026 - 14:51

score 1.3k · Answer 9 · 2026-03-26 09:50:05

1.3k

Views

How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?

Published on 26 Mar 2026 - 9:50

score 195 · Answer 10 · 2026-04-16 03:25:54

195

Views

If $b ∈ \Bbb Z$, then there is no integer a such that $b < a < b + 1$

Published on 16 Apr 2026 - 3:25

score 38 · Answer 11 · 2026-04-13 21:12:22

38

Views

A dumb question about $T_2$ space-Looking for alternative proof

Published on 13 Apr 2026 - 21:12

score 299 · Answer 12 · 2026-04-10 03:54:27

299

Views

How to prove Craig's interpolation using amalgamation?

Published on 10 Apr 2026 - 3:54

score 2.6k · Answer 13 · 2026-04-13 16:51:00

2.6k

Views

Proof that if: a^2=b^2 then a=b or a=-b

Published on 13 Apr 2026 - 16:51

score 235 · Answer 14 · 2026-04-10 15:30:05

235

Views

How to show two properties about the Cantor Set

Published on 10 Apr 2026 - 15:30

score 580 · Answer 15 · 2026-04-16 20:54:42

580

Views

Proving $\sum_{k=0} \frac{(-1)^k}{1+2k} = \frac{\pi}{4} $ taking $4 \int_0^1 \sqrt{1 - x^2} \; \text{d}x$ as the definition of $\pi$.

Published on 16 Apr 2026 - 20:54

List Question

Invertibility of $I-A^s$ for each $s \geq 1$ implying nilpotence

Find the relationship between $x$ and $y$ so that $y:=0\rightarrow\frac{\pi}{2}\Leftrightarrow x:=y\rightarrow\frac{\pi}{2}$

Proof regarding Rolle's and Intermediate value theorems.

Doubt on proof of characterization of polynomials

Proof regarding differential function and limits

Is this an acceptable proof that $x^2<y^2$ when $x$ and $y$ are positive reals with $x<y$?

Proving the Mean Value Theorem Without Rolle's Theorem

Given a sequence $\{u_{n}\}$ so that $\left\{\begin{matrix} u_0=a>1\\u_{n+1}=\sqrt{1+\frac{1}{1+u_n}}\end{matrix}\right..$ Find $\lim u_n.$

How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?

If $b ∈ \Bbb Z$, then there is no integer a such that $b < a < b + 1$

A dumb question about $T_2$ space-Looking for alternative proof

How to prove Craig's interpolation using amalgamation?

Proof that if: a^2=b^2 then a=b or a=-b

How to show two properties about the Cantor Set

Proving $\sum_{k=0} \frac{(-1)^k}{1+2k} = \frac{\pi}{4} $ taking $4 \int_0^1 \sqrt{1 - x^2} \; \text{d}x$ as the definition of $\pi$.

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