HipsterMathematician
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1,016
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### Questions (26)

 10 Prove that the equation: $c_0+c_1x+\ldots+c_nx^n=0$ has a real solution between 0 and 1. 8 If $\mathrm{Int}(\mathrm{Im}(f(\mathbb {R^n})))=\varnothing$ then the determinant of the Jacobian matrix is zero. 7 Prove that $(\mathbb{Z},d)$ is a metric space 7 Show that $\operatorname{int}(A \cap B)= \operatorname{int}(A) \cap \operatorname{int}(B)$ 5 A finite graph G is $d$-regular if, and only if, its adjacency matrix has the eigenvalue $λ = d$

### Reputation (1,016)

 +5 $|f(x)-f(y)|\geq k|x-y|$.Then $f$ is bijective and its inverse is continuous. +5 Solve the equation, for $p$ prime, $x^{2p}- x^p= [6]$, in $\mathbb {Z}_p$ +5 A finite graph G is $d$-regular if, and only if, its adjacency matrix has the eigenvalue $λ = d$ +10 Meditation and Mathematicians

 24 Is there a great mathematical example for a 12-year-old? 10 Characteristic polynomial of a $3\times 3$ matrix 9 Meditation and Mathematicians 7 Proving that $\sigma_{12}^2=\sigma_1^2\sigma_2^2+\lambda_1^2\sigma_2^2+\lambda_2^2\sigma_1^2$ 6 How to approach probability questions?

### Tags (20)

 13 probability × 3 3 algebra-precalculus 10 linear-algebra × 5 0 real-analysis × 8 10 matrices 0 analysis × 5 9 soft-question × 2 0 multivariable-calculus × 4 6 statistics 0 general-topology × 3

### Accounts (7)

 Mathematics 1,016 rep 719 Mi Yodeya 209 rep 15 Science Fiction & Fantasy 201 rep 12 Stack Overflow 111 rep 4 Cross Validated 101 rep 1