Question

$f(xy + x +y) = f(xy) + f(x) + f(y)$ and $f(x)(y - x) + f(y)(x - y) \geq 0$.

score 202 · Answer 1 · 2026-03-25 18:50:37

202

Views

$f(xy + x +y) = f(xy) + f(x) + f(y)$ and $f(x)(y - x) + f(y)(x - y) \geq 0$.

Published on 25 Mar 2026 - 18:50

score 50 · Answer 2 · 2026-04-17 11:50:13

50

Views

Convergence radius of $\sum_{n=1}^\infty \frac{(4-x)^n}{\sqrt{n^4+5}}$

Published on 17 Apr 2026 - 11:50

score 180 · Answer 3 · 2026-03-28 13:38:24

180

Views

Differentiation under the integral sign using Fubini.

Published on 28 Mar 2026 - 13:38

score 200 · Answer 4 · 2026-04-13 05:03:34

200

Views

Exercise on finitely generated $A$-modules

Published on 13 Apr 2026 - 5:03

score 84 · Answer 5 · 2026-04-09 16:39:24

84

Views

How to find roots of this equation?

Published on 09 Apr 2026 - 16:39

score 48 · Answer 6 · 2026-04-15 07:26:44

48

Views

Show that $\sum_{n=0}^\infty \binom{n+2}{2}x^n$ converges for $|x|<1$ and calculate its sum

Published on 15 Apr 2026 - 7:26

score 48 · Answer 7 · 2026-04-14 10:27:09

48

Views

Yet another Rouché's theorem example for $f(z) = e^z-3z^{2019}$ - solution verification

Published on 14 Apr 2026 - 10:27

score 35 · Answer 8 · 2026-04-16 21:38:07

35

Views

If $PA=AQ$ for PSD matrices $P$ and $Q$, then $\sqrt{P}A=A\sqrt{Q}$

Published on 16 Apr 2026 - 21:38

score 11.6k · Answer 9 · 2026-04-15 19:18:07

11.6k

Views

Let $V$ and $W$ be finite dimensional vector spaces over the field $F$. Prove that $V$ is isomorphic to $W$ iff $dimV=dimW$.

Published on 15 Apr 2026 - 19:18

score 61 · Answer 10 · 2026-04-12 05:46:00

61

Views

limit including box function

Published on 12 Apr 2026 - 5:46

score 82 · Answer 11 · 2026-04-16 01:34:42

82

Views

Friedman's long finite sequences-an unclear step in the proof

Published on 16 Apr 2026 - 1:34

score 36 · Answer 12 · 2026-04-11 18:20:57

36

Views

Commutativity of morphisms and existence of unique map

Published on 11 Apr 2026 - 18:20

score 299 · Answer 13 · 2026-04-16 04:50:05

299

Views

Is This Proof for "If $\sup A < \sup B$, show that there exists an element $b\in B$ that is an upper bound for $A$" correct?

Published on 16 Apr 2026 - 4:50

score 600 · Answer 14 · 2026-04-15 08:28:51

600

Views

Proof verification: $g$ is continuous iff $g^{-1}(B)$ is open whenever $B \subseteq \mathbb{R}$ is an open set.

Published on 15 Apr 2026 - 8:28

score 113 · Answer 15 · 2026-04-16 02:55:46

113

Views

Continuity of this Piecewise function $f:\mathbb{R}^2\to \mathbb{R}$

Published on 16 Apr 2026 - 2:55

List Question

$f(xy + x +y) = f(xy) + f(x) + f(y)$ and $f(x)(y - x) + f(y)(x - y) \geq 0$.

Convergence radius of $\sum_{n=1}^\infty \frac{(4-x)^n}{\sqrt{n^4+5}}$

Differentiation under the integral sign using Fubini.

Exercise on finitely generated $A$-modules

How to find roots of this equation?

Show that $\sum_{n=0}^\infty \binom{n+2}{2}x^n$ converges for $|x|<1$ and calculate its sum

Yet another Rouché's theorem example for $f(z) = e^z-3z^{2019}$ - solution verification

If $PA=AQ$ for PSD matrices $P$ and $Q$, then $\sqrt{P}A=A\sqrt{Q}$

Let $V$ and $W$ be finite dimensional vector spaces over the field $F$. Prove that $V$ is isomorphic to $W$ iff $dimV=dimW$.

limit including box function

Friedman's long finite sequences-an unclear step in the proof

Commutativity of morphisms and existence of unique map

Is This Proof for "If $\sup A < \sup B$, show that there exists an element $b\in B$ that is an upper bound for $A$" correct?

Proof verification: $g$ is continuous iff $g^{-1}(B)$ is open whenever $B \subseteq \mathbb{R}$ is an open set.

Continuity of this Piecewise function $f:\mathbb{R}^2\to \mathbb{R}$

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