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edm
  • Member for 5 years, 11 months
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24 votes
Accepted

Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle

13 votes

How to understand the exponential operator geometrically?

13 votes

Does every circle in $\mathbb{R^2}$ contain a point with rational coordinates?

9 votes
Accepted

If Rolle's Theorem is assumed to be true, doesn't that prove the MVT?

9 votes
Accepted

$\langle f(t),g(t)\rangle' = \langle f'(t),g(t)\rangle + \langle f(t),g'(t)\rangle$ for differentiable $f,g : \mathcal{R} \to \mathcal{R}^n$?

7 votes

Equivalence of limits?

6 votes

Does SO(3) preserve the cross product?

6 votes

Tensors in the context of engineering mechanics: can they be explained in an intuitive way?

6 votes
Accepted

find matrix $A$ that satisfies $A^2=A$and $A^T=-A$

6 votes
Accepted

Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

5 votes
Accepted

Question on the notation $ds^2=dx^2+dy^2$ : what does it really mean?

5 votes
Accepted

If $f: \mathbb{R}^n \to \mathbb{R}^n$ is one-to-one, is the differential necessarily one-to-one?

5 votes

The definition of continuous mapping on a vector space

4 votes

Why is $f:\mathbb{R}\to S^1$ $f(t)=(\cos(t),\sin(t))$ a local diffeomorphism?

4 votes

What can be said about the set of points that makes the MVT "works"?

4 votes
Accepted

Function $f(2^x)=0$

4 votes

Transpose of a vector-vector product.

4 votes

Computing $(3^{999^{100}} + 7^{960^{961}}) \bmod 225 $

4 votes
Accepted

Showing that $\ddot{x}=x-x^3$ is a conservative system

4 votes
Accepted

Why is $\mathbb{Q}/ \mathbb{Z}$ called the groups of rationals modulo one?

4 votes

If $f : [a,b]\to\Bbb R$ is continuous, are there $x_1,x_2\in (a,b)$ such that $\tfrac{f(b)-f(a)}{b-a} = \tfrac{f(x_1)-f(x_2)}{x_1-x_2}$?

4 votes
Accepted

Are $L^p$ spaces connected?

3 votes
Accepted

What is the geometric multiplicity of the zero eigenvalue of the zero matrix?

3 votes

Prove that $A$ is a closed set in $l_2$.

3 votes

Why require a normal subgroup to be also a subgroup, in the definition?

3 votes

is this true for an induction proof

3 votes
Accepted

Proof Dot Product and Cross Product of Complex Numbers

3 votes

No where vanishing exact $1$-form on compact manifold.

3 votes

What is the "determinant" of two vectors?

3 votes
Accepted

Find matrices $P$ and $Q$ to check if matrices $A$ and $B$ are equivalent( $ Q^{-1}AP = B$ )?

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