User Eric Auld

81 votes

Accepted

Difference between basis and subbasis in a topology?

answered Jul 22, 2013 at 16:20

42 votes

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If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$?

answered Dec 17, 2013 at 6:19

41 votes

Limit of $L^p$ norm

answered Apr 22, 2014 at 23:12

29 votes

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Why are subsets of compact sets not compact?

answered Feb 12, 2019 at 22:10

28 votes

what is expected from a PhD student?

answered Aug 5, 2013 at 17:20

17 votes

Up-to-date advice on the best way to take notes (maths)

answered Dec 20, 2013 at 15:09

12 votes

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Prove null $T^k$ = null $T$ and range $T^k$ = range $T$

answered Nov 21, 2013 at 2:04

12 votes

Prerequisites to learn Complex Analysis

answered Aug 19, 2013 at 20:42

11 votes

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Orthogonal projection onto an affine subspace

answered Jul 26, 2013 at 20:35

11 votes

function identity: does $\frac{x^2-4}{x-2} = x+2$

answered Jul 29, 2013 at 13:09

11 votes

How to think about a quotient sets modulo an equivalence relation, and well-defined functions on the quotient set.

answered Jul 27, 2021 at 3:05

9 votes

What does the $L^p$ norm tend to as $p\to 0$?

answered Jan 18, 2014 at 19:21

8 votes

Tensor product between quaternions and complex numbers.

answered Jan 3, 2017 at 0:06

8 votes

About the position of "for all" quantifier

answered Nov 15, 2015 at 16:25

8 votes

If $\{x_n\}$ satisfies that $x_{n+1} - x_n$ goes to $0$, is $\{x_n\}$ a Cauchy sequence?

answered Jan 30, 2016 at 20:25

7 votes

An 'easy' way to prove that epimorphism of sheaves implies surjectivity on stalks

answered May 5, 2016 at 23:42

7 votes

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What is the order of $\mathbb{Z_2 \times Z_2}$

answered Mar 19, 2015 at 2:18

7 votes

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Is matrix diagonalization unique?

answered Jul 25, 2013 at 22:35

7 votes

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Does an analytic function maps a simple connected region into a simple connected region?

answered Jul 22, 2013 at 16:26

6 votes

Notation for definition and equivalence

answered Jul 23, 2013 at 10:29

6 votes

Cauchy theorem for a rectangle.

answered Jul 20, 2013 at 1:56

6 votes

Accepted

Precise definition of epsilon-ball

answered Jul 28, 2013 at 18:14

6 votes

How do you evaluate $\int \frac{y^2}{y^2+d^2}dy$?

answered Aug 24, 2013 at 17:46

6 votes

Is a differentiable function always continuous?

answered Sep 14, 2014 at 10:54

6 votes

Accepted

if the matrix such $B-A,A$ is Positive-semidefinite,then $\sqrt{B}-\sqrt{A}$ is Positive-semidefinite

answered Nov 29, 2013 at 16:25

6 votes

Associativity of function composition?

answered Nov 11, 2015 at 20:26

6 votes

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What are the advantages of the Riemann vs. Lebesgue Integral?

answered Apr 26, 2019 at 13:54

5 votes

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Self Teaching Analysis, Topology and Differential Geometry

answered Dec 5, 2016 at 18:34

5 votes

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The order of a conjugacy class of some element is equal to the index of the centralizer of that element.

answered Sep 15, 2015 at 15:37

5 votes

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Is every linear transform that takes a non-zero vector to zero composed of a projection?

answered Nov 18, 2015 at 2:15

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383 Answers

Difference between basis and subbasis in a topology?

If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$?

Limit of $L^p$ norm

Why are subsets of compact sets not compact?

what is expected from a PhD student?

Up-to-date advice on the best way to take notes (maths)

Prove null $T^k$ = null $T$ and range $T^k$ = range $T$

Prerequisites to learn Complex Analysis

Orthogonal projection onto an affine subspace

function identity: does $\frac{x^2-4}{x-2} = x+2$

How to think about a quotient sets modulo an equivalence relation, and well-defined functions on the quotient set.

What does the $L^p$ norm tend to as $p\to 0$?

Tensor product between quaternions and complex numbers.

About the position of "for all" quantifier

If $\{x_n\}$ satisfies that $x_{n+1} - x_n$ goes to $0$, is $\{x_n\}$ a Cauchy sequence?

An 'easy' way to prove that epimorphism of sheaves implies surjectivity on stalks

What is the order of $\mathbb{Z_2 \times Z_2}$

Is matrix diagonalization unique?

Does an analytic function maps a simple connected region into a simple connected region?

Notation for definition and equivalence

Cauchy theorem for a rectangle.

Precise definition of epsilon-ball

How do you evaluate $\int \frac{y^2}{y^2+d^2}dy$?

Is a differentiable function always continuous?

if the matrix such $B-A,A$ is Positive-semidefinite,then $\sqrt{B}-\sqrt{A}$ is Positive-semidefinite

Associativity of function composition?

What are the advantages of the Riemann vs. Lebesgue Integral?

Self Teaching Analysis, Topology and Differential Geometry

The order of a conjugacy class of some element is equal to the index of the centralizer of that element.

Is every linear transform that takes a non-zero vector to zero composed of a projection?