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63 Answers

newest activity votes
16
If $A^2 = I$ (Identity Matrix) then $A = \pm I$
12
Why is the determinant $M_n(\mathbb R) \to \mathbb R$ continuous?
7
If $\omega$ is an $n$-form on a compact $n$-manifold $M$ without boundary, then $\omega $ is exact if and only if $\int\limits_{M}\omega=0$
5
Proposition about curves in $S^2$
5
extending a vector field defined on a closed submanifold
4
polynomials on the complex numbers
4
Homeomorphism between subspaces
3
Suppose I have a function $y=x+1$, then is this function the same as $y=\frac{ x^2+x}{x } $?
3
Indices in differential geometry
3
help on connections
3
Visual Ways to Remember Cross products of Unit vectors? Cross-product in $\mathbb F^3$?
3
Does a non-zero linear functional attain every value?
3
What am I supposed to do in “If a and b are natural numbers, and ab=1, then a=1 and b=1”?
3
A smooth function f satisfies $\left|\operatorname{ grad}\ f \right|=1$ ,then the integral curves of $\operatorname{grad}\ f$ are geodesics
3
Orthonormed vector fields on a Riemaniann surface
3
zeroth hompotopy set of a topological space
2
binomial theorem: find coef. xy
2
Is there any way to find a angle of a complex number without a calculator?
2
Limits and Derivatives
2
$T: V\rightarrow W$ is an injective linear transformation when restricted to subspace $A$ of $V$. Then can we conclude that $\dim(A) = \dim T(A)$
2
Isomorphism of symmetric groups.
2
Why is $SO(3, \mathbb{C}) \cong PSL(2, \mathbb{C})$?
2
How can one see that $\operatorname{tr}(f\otimes g)=\operatorname{tr}f\operatorname{ tr }g$?
2
Is the map $f(a+bi)=a$ a homomorphism of rings?
2
Show that the hyperboloid is a Riemannian manifold
2
Induction (concerning $1+z+\dots+z^n$) and follow up question
2
Maps between real projective spaces
2
Inequality involving norm of matrix integral
2
Logarithms explained simply
2
Rank of Matrix (derivative of a smooth map)
1 2 3