# Charlie

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bio website location age member for 2 years, 1 month seen Jul 13 at 23:25 profile views 1,167

There's a lot things about me.Things you wouldn't understand, things you couldn't understand, things you shouldn't understand. I'm a loner, dude, a rebel.

"Why, look you now, how unworthy a thing you make of me. You would play upon me; you would seem to know my stops; you would pluck out the heart of my mystery; you would sound me from my lowest note to the top of my compass; and there is much music, excellent voice, in this little organ, yet cannot you make it speak. â€™Sblood, do you think I am easier to be played on than a pipe? Call me what instrument you will, though you can fret me, you cannot play upon me." Hamlet, act III, scene II.

# 26 Questions

 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 Show that $A=\{ \frac{m}{2^n}:m\in \mathbb {Z},n\in \mathbb {N} \}$ is dense in $\mathbb {R}$ [duplicate]

# 956 Reputation

 +5 Prove that the equation: $c_0+c_1x+\ldots+c_nx^n=0$ has a real solution between 0 and 1. +5 Solve the equation, for $p$ prime, $x^{2p}- x^p= [6]$, in $\mathbb {Z}_p$ +10 Characteristic polynomial of a $3\times 3$ matrix +10 Meditation and Mathematicians

 17 Is there a great mathematical example for a 12-year-old? 10 Characteristic polynomial of a $3\times 3$ matrix 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? 5 Meditation and Mathematicians

# 21 Tags

 19 homework × 7 5 soft-question × 2 13 probability × 3 3 algebra-precalculus 10 linear-algebra × 5 0 real-analysis × 8 10 matrices 0 analysis × 5 6 statistics 0 multivariable-calculus × 4

# 7 Accounts

 Mathematics 956 rep 717 Mi Yodeya 204 rep 15 Science Fiction & Fantasy 201 rep 11 Stack Overflow 111 rep 3 Cross Validated 101 rep