Question

Prove that $\int_If\phi dm=\int_Ig\phi dm$ implies $f=g$ a.e over $I$

score 405 · Answer 1 · 2026-03-25 20:15:20

405

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Prove that $\int_If\phi dm=\int_Ig\phi dm$ implies $f=g$ a.e over $I$

Published on 25 Mar 2026 - 20:15

score 634 · Answer 2 · 2026-03-27 06:56:40

634

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Limit of the composition function $\sin(\cos(x))/\cos(x)$ at $\pi/2$ in Apostol Exercises 3.8

Published on 27 Mar 2026 - 6:56

score 102 · Answer 3 · 2019-06-23 16:31:52

102

Views

What is the easiest and simplest way to bound $xy$

Published on 23 Jun 2019 - 16:31

score 67 · Answer 4 · 2019-06-26 16:24:40

67

Views

Alternative proofs for the higher product rule (differentiation)

Published on 26 Jun 2019 - 16:24

score 153 · Answer 5 · 2026-03-25 03:21:23

153

Views

Number of real roots of $3^x+4^x=2^x+5^x$ with proof

Published on 25 Mar 2026 - 3:21

score 181 · Answer 6 · 2019-06-27 11:45:28

181

Views

Prove $\lim_{n\to \infty} \sum_{k=0}^{n} 2^{\frac{-kn}{k+n}}=2$

Published on 27 Jun 2019 - 11:45

score 153 · Answer 7 · 2026-03-25 11:21:27

153

Views

Prove that translation invariance implies inverse invariance without using the uniqueness of the measure

Published on 25 Mar 2026 - 11:21

score 179 · Answer 8 · 2026-03-25 14:39:19

179

Views

Number of faces in n intersecting lines

Published on 25 Mar 2026 - 14:39

score 277 · Answer 9 · 2019-06-29 07:57:00

277

Views

If we have two-point indiscrete space $X=\{a,b\}$ & let $A=\{a\}$,then what is the derived set of $A?$

Published on 29 Jun 2019 - 7:57

score 375 · Answer 10 · 2019-06-30 01:10:29

375

Views

Is there a way to avoid uniform convergence in Urysohn's extension theorem?

Published on 30 Jun 2019 - 1:10

score 341 · Answer 11 · 2019-07-01 20:42:33

341

Views

How to find the value of $\cos\left (\frac{\pi }{28} \right )-\cos\left (\frac{3\pi }{28} \right )+\sin\left ( \frac{5\pi }{28} \right )$?

Published on 01 Jul 2019 - 20:42

score 164 · Answer 12 · 2019-07-03 17:32:23

164

Views

An alternative proof of a lemma in linear algebra

Published on 03 Jul 2019 - 17:32

score 1k · Answer 13 · 2019-07-05 12:50:36

1k

Views

Integral $\int_0^1 \frac{dx}{\sqrt[3]{x(1-x)}(1-x(1-x))}$

Published on 05 Jul 2019 - 12:50

score 110 · Answer 14 · 2019-07-05 18:25:04

110

Views

Please explain this soviet proof of why sqrt(2) is irrational?

Published on 05 Jul 2019 - 18:25

score 882 · Answer 15 · 2019-07-06 22:53:55

882

Views

Integrating $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx$ with restricted techniques

Published on 06 Jul 2019 - 22:53

List Question

Prove that $\int_If\phi dm=\int_Ig\phi dm$ implies $f=g$ a.e over $I$

Limit of the composition function $\sin(\cos(x))/\cos(x)$ at $\pi/2$ in Apostol Exercises 3.8

What is the easiest and simplest way to bound $xy$

Alternative proofs for the higher product rule (differentiation)

Number of real roots of $3^x+4^x=2^x+5^x$ with proof

Prove $\lim_{n\to \infty} \sum_{k=0}^{n} 2^{\frac{-kn}{k+n}}=2$

Prove that translation invariance implies inverse invariance without using the uniqueness of the measure

Number of faces in n intersecting lines

If we have two-point indiscrete space $X=\{a,b\}$ & let $A=\{a\}$,then what is the derived set of $A?$

Is there a way to avoid uniform convergence in Urysohn's extension theorem?

How to find the value of $\cos\left (\frac{\pi }{28} \right )-\cos\left (\frac{3\pi }{28} \right )+\sin\left ( \frac{5\pi }{28} \right )$?

An alternative proof of a lemma in linear algebra

Integral $\int_0^1 \frac{dx}{\sqrt[3]{x(1-x)}(1-x(1-x))}$

Please explain this soviet proof of why sqrt(2) is irrational?

Integrating $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx$ with restricted techniques

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