Question

Proof that continuous curve in $\mathbb{R}^2$ has Lebesgue measure zero

score 768 · Answer 1 · 2026-04-16 17:10:13

768

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Proof that continuous curve in $\mathbb{R}^2$ has Lebesgue measure zero

Published on 16 Apr 2026 - 17:10

score 827 · Answer 2 · 2026-04-29 11:53:17

827

Views

Proof that if $A \subseteq B \setminus C$ then $A$ and $C$ are disjoint.

Published on 29 Apr 2026 - 11:53

score 1.2k · Answer 3 · 2026-04-14 15:27:43

1.2k

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Prove the equivalent conditions for nowhere dense subset.

Published on 14 Apr 2026 - 15:27

score 92 · Answer 4 · 2026-04-11 05:24:03

92

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Is the integral of a smooth function on a closed smooth real manifold finite?

Published on 11 Apr 2026 - 5:24

score 528 · Answer 5 · 2026-03-26 13:07:29

528

Views

What is the probability if we throw dart towards a large square but it should hit only the inner part of small square $FEHG$ inscribed in it?

Published on 26 Mar 2026 - 13:07

score 228 · Answer 6 · 2026-04-15 22:07:57

228

Views

Show that $T$ has an adjoint, and describe $T^*$ explicitly.

Published on 15 Apr 2026 - 22:07

score 67 · Answer 7 · 2026-04-14 13:10:47

67

Views

How many different subsets $Y \subset X$ with $|Y| \leq n$ are there if $|X| = 2n+1$? (Elegant solution?)

Published on 14 Apr 2026 - 13:10

score 90 · Answer 8 · 2026-04-16 08:38:24

90

Views

Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

Published on 16 Apr 2026 - 8:38

score 1.5k · Answer 9 · 2026-04-12 00:00:59

1.5k

Views

If $D$ be the differentiation operator on $V$. Find $D^*$.

Published on 12 Apr 2026 - 0:00

score 469 · Answer 10 · 2026-04-14 23:20:47

469

Views

Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Published on 14 Apr 2026 - 23:20

score 98 · Answer 11 · 2026-04-16 13:59:51

98

Views

Find $a_{n+2}+3a_{n+1}+2a_n=3^n$ if $a_0=0$ and $a_1=1$, and prove

Published on 16 Apr 2026 - 13:59

score 242 · Answer 12 · 2026-04-15 10:17:58

242

Views

Is my proof that $\overline{A}\cup\overline{B} = \overline{A\cup B}$ correct?

Published on 15 Apr 2026 - 10:17

score 669 · Answer 13 · 2026-04-15 11:41:53

669

Views

Is this proof that $\text{diam}(A) = \text{diam}(\bar{A})$ correct?

Published on 15 Apr 2026 - 11:41

score 104 · Answer 14 · 2026-04-16 04:54:50

104

Views

Proving that $y_n$ converges given $y_{2n}, y_{2n+1}$ converges

Published on 16 Apr 2026 - 4:54

score 56 · Answer 15 · 2026-04-08 21:51:07

56

Views

Can partial derivatives be expressed as a fraction?

Published on 08 Apr 2026 - 21:51

List Question

Proof that continuous curve in $\mathbb{R}^2$ has Lebesgue measure zero

Proof that if $A \subseteq B \setminus C$ then $A$ and $C$ are disjoint.

Prove the equivalent conditions for nowhere dense subset.

Is the integral of a smooth function on a closed smooth real manifold finite?

What is the probability if we throw dart towards a large square but it should hit only the inner part of small square $FEHG$ inscribed in it?

Show that $T$ has an adjoint, and describe $T^*$ explicitly.

How many different subsets $Y \subset X$ with $|Y| \leq n$ are there if $|X| = 2n+1$? (Elegant solution?)

Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

If $D$ be the differentiation operator on $V$. Find $D^*$.

Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Find $a_{n+2}+3a_{n+1}+2a_n=3^n$ if $a_0=0$ and $a_1=1$, and prove

Is my proof that $\overline{A}\cup\overline{B} = \overline{A\cup B}$ correct?

Is this proof that $\text{diam}(A) = \text{diam}(\bar{A})$ correct?

Proving that $y_n$ converges given $y_{2n}, y_{2n+1}$ converges

Can partial derivatives be expressed as a fraction?

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