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Majid's user avatar
Majid
  • Member for 8 years, 11 months
  • Last seen this week
21 votes
1 answer
15k views

If two integrals are equal, then the functions are the same

7 votes
1 answer
244 views

Given a smooth function $f:M\to [a,b]$, $f^{-1}(a)$ and $f^{-1}(b)$ are (immersed) submanifolds

7 votes
4 answers
1k views

If $\int_a^bg(x)dx=0$, show that $\int_a^bf(x)g(x)dx=0.$

7 votes
2 answers
2k views

If the derivative of a function is square of it then it is constant [duplicate]

6 votes
1 answer
326 views

Does a 2-connected graph, say $G$ have a vertex, say $v$, such that $G-v$ is still 2-connected?

6 votes
3 answers
397 views

A common term for $a_n=\begin{cases} 2a_{n-1} & \text{if } n\ \text{ is even, }\\ 2a_{n-1}+1 & \text{if } n\ \text{ is odd. } \end{cases}$

5 votes
2 answers
706 views

Evaluate the indefinite integral of multiplication of two functions

5 votes
0 answers
165 views

Which applications parallel transport have?

4 votes
1 answer
260 views

The notation for fundamental group!

4 votes
2 answers
263 views

If the set on which a Riemann integrable function $f$ is nonzero has empty interior then the integral of $|f|$ is $0$.

4 votes
1 answer
2k views

Hessian of a function at the critical points

4 votes
2 answers
550 views

Is the tangent space to a critical submanifold a subspace of the kernel of the Hessian?

3 votes
1 answer
101 views

Is $A=\{(\langle u_1,u_1\rangle,...,\langle u_1,u_n\rangle),...,(\langle u_n,u_1\rangle,...,\langle u_n,u_n\rangle)\}$ linearly independent?

3 votes
1 answer
4k views

Orthogonal, symmetric and positive definite matrices!

3 votes
1 answer
132 views

What is the best time complexity of checking the inequality $a_1x_1 + \cdots + a_mx_m \le K$ to have a non-negative integer solution?

3 votes
3 answers
500 views

Does the equation $(AB-BA)^2=I_n$ have a solution for each $n\geq 3$?

3 votes
5 answers
2k views

Limit $\lim_{x\to \infty} \frac{\sqrt{x+1}+\sqrt{x+2}-\sqrt{4x+12}}{\sqrt{x+2}+\sqrt{x}-\sqrt{4x+12}}$

3 votes
2 answers
132 views

Proving that $X\times (Y\times Z)+Y\times (Z\times X)+Z\times (X\times Y)=0$ for all $X, Y, Z\in \mathbb{R^3}$

3 votes
3 answers
41 views

If the translation of a vector remains orthogonal to a translation of a space?

2 votes
0 answers
51 views

The relation between the geodesics of two Riemannian metrics

2 votes
0 answers
62 views

If critical points of a transnormal function are isolated then the function has at most two critical points.

2 votes
1 answer
529 views

Equation of a stretched limaçon!

2 votes
2 answers
809 views

Prove that if the minimum polynomial is the product of distinct factors then the transformation is diagonalizble.

2 votes
2 answers
57 views

Another way to solve $y=-\frac1{x^2y'}-xy'$

2 votes
1 answer
97 views

How many ways are there to place $l$ balls in $m$ boxes each of which has $n$ compartments (2)?

2 votes
4 answers
99 views

What is the value of $\Delta\gamma/\Delta\theta$ in the attached figure?

2 votes
1 answer
268 views

$(AB-BA)^m=I_n$ has solution if and only if $n=mk$ where $m\geq 2$ is an integer number. Is it correct?

2 votes
1 answer
81 views

Another question on 2-connected graphs.

2 votes
2 answers
707 views

Analytic functions in higher dimensions?

2 votes
1 answer
143 views

How to find the norm using the equation of a circle?