Anne Bauval's user avatar
Anne Bauval's user avatar
Anne Bauval's user avatar
Anne Bauval
  • Member for 7 years, 5 months
  • Last seen this week
  • Université-Paul-Sabatier, Toulouse, France
26 votes
Accepted

How to calculate infinite limit for function and its derivative?

18 votes
Accepted

Suppose $a$ and $b$ belong to a ring. If $ab$ is a zero divisor, then is $ba$ also a zero divisor?

15 votes

Please explain how to solve limit. I know the answer but how to explain it?

15 votes
Accepted

How to prove that these subspaces of $\Bbb R^3$ are pairwise non-homeomorphic?

15 votes
Accepted

Equating determinants using properties

14 votes

Does a homeomorphism preserve the open sets?

14 votes

The sum of the series by derivatives

14 votes
Accepted

Is this set of natural sequences countable?

13 votes

Simplifying $\frac{\sin(3x)+\sin(4x)+\sin(5x)}{\sin(x)+\sin(2x)+\sin(3x)}$

13 votes
Accepted

Give an example of a function $h:\mathbb{R}\backslash\mathbb{Q}\rightarrow\ \mathbb{Q}$

13 votes
Accepted

About an integral of the MIT Integration Bee Finals (2023)

10 votes

Prove that a Banach space cannot be reflexive if some strict closed subspace of its dual space separates its points

10 votes
Accepted

Solving ${255\choose 128} \mod 257$

9 votes

Why does Gaussian elimination sometimes work in rings where it should not?

8 votes

Characterization of distance between points in separable space

8 votes
Accepted

Maximizing $(x-y)^2(y-z)^2(z-x)^2$ where $x^2+y^2+z^2=1$

8 votes

Find the limit of $a_n$ = $(n+\sqrt n)^\frac{1}{4} - n^\frac{1}{4}$.

8 votes
Accepted

Prove that this expression is equal to $\pi$

7 votes

Solving a limit by the Squeeze theorem

7 votes
Accepted

Prove that $\langle a,b\mid ab=ba^n\rangle$ is not isomorphic to $\langle a,b\mid ab=ba^{n'}\rangle$ when $n\neq n'$

7 votes
Accepted

Essential supremum is actually a minimum

7 votes
Accepted

For three vectors in any inner product space, prove the following inequality.

7 votes
Accepted

Prove that $x^{2020} + x^{1011} + 2 x^{1010} + x^2 + x + 1$ does not have a real root

6 votes
Accepted

$f$ and $h\circ f$ are linear and $f$ is surjective, is $h$ linear?

6 votes
Accepted

Prove that $\mathbb{Q}^*/\langle-1\rangle$ is isomorphic to $\mathbb{Q}$

6 votes
Accepted

Gradient zero implies lipschitz with arbitrary constant

6 votes
Accepted

Continuity at a single point implies continuity at the whole domain for a given function.

6 votes
Accepted

For finite $G$ s.t. $\forall n\mid |G|\exists$ at most one $H_n<G$ with $|H_n|=n$, for $g,h\in G$ s.t. $|h|\mid |g|$, we have $h\in\langle g\rangle$.

6 votes
Accepted

Show that the product of the $2^{2019}$ numbers of the form $\pm 1\pm \sqrt{2}\pm\cdots \pm \sqrt{2019}$ is the square of an integer.

6 votes

Solve $a^{2x}+ a^4 = a^{x+1}+ a^{x+3}$

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