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user99680
  • Member for 10 years, 5 months
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17 votes

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

10 votes

Can my MSE reputation be any positive integer?

10 votes
Accepted

Why sphere and torus are not homeomorphic?

9 votes
Accepted

$f(x)=x$ if $x$ is rational , $f(x)=1-x$ if $x$ is irrational, at what point this function is continuous?

9 votes
Accepted

Proof Check: Every Cauchy Sequence is Bounded

8 votes
Accepted

Measurability of almost everywhere continuous functions

8 votes
Accepted

How do Homology Groups work

7 votes

Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$

6 votes

Prove that a holomorphic function with postive real part is constant

6 votes
Accepted

An example of a function over the reals that does not have a limit as x go to 0 but does when in substraction

5 votes

In statistics, why do you reject the null hypothesis when the p-value is less than the alpha value (the level of significance)

5 votes

Closed unit disk homeomorphic to $\mathbb{R}^2$?

5 votes

Compact but not Hausdorff space

5 votes

Prove that if $X \times Y$ is compact, so are $X$ and $Y$.

5 votes
Accepted

If $f(z)$ is entire, and it is constant in $\{z:|z|\le 1\}$, then $f$ is constant in $\mathbb{C}$?

5 votes

Uniform convergence of $f^2_n$ when $f_n$ converges uniformly

5 votes

Determine whether A is invertible, and if so, find the inverse. (3x3)

4 votes

Conservative field application

4 votes

Function everywhere left continuous yet not right continuous everywhere?

4 votes
Accepted

How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 20 coins in it?

4 votes

How to show that $2730\mid n^{13}-n\;\;\forall n\in\mathbb{N}$

4 votes

Is the infinite union of given sets closed or open?

4 votes
Accepted

An example of a sequence of Riemann integrable functions $(f_n)$ that converges pointwise to a function $f$ that is not Riemann integrable.

4 votes
Accepted

How to calculate the sumation of a function in one step?

4 votes

An integer between 1 and 1000 is chosen uniformly at random. Given that it is divisible by 4, what is the probability that it is divisible by 3?

4 votes

How big is infinity?

4 votes

What is the domain of $x^x$

3 votes

proof by induction: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$

3 votes

Sub-dimensional linear subspaces of $\mathbb{R}^{n}$ have measure zero.

3 votes

Continuity of homotopy from constant function to identity

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