Teun Verstraaten

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Math student from the Netherlands.

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33 Questions

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6	Show that ${-n \choose i} = (-1)^i{n+i-1 \choose i} $
6	Ethical problems in mathematics
5	For continuous $f:[a,b] \to \mathbb{R}$, prove $\exists \ c\in[a,b]$ such that $f(c)=\frac{1}{b-a}\int\limits_{a}^{b}f(x)dx$.
4	Solve $u_x+u_y=1$
4	when integrating a Laurent series $f(z)=\sum\limits_{j=-\infty}^{\infty}a_j(z-z_0)^j$, why do all terms for $j\neq-1$ dissappear?

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893 Reputation

+10	prove by induction that $P\left(\bigcup\limits_{i=1}^{n} E_i\right) = 1-\prod\limits_{i=1}^{n}(1-P(E_i))$, $E_1,E_2,\ldots , E_i$ independent
+5	Determine no. elements in $ \operatorname{Aut}(H)$ where $H$ is the 6 point/5line graph in the shape of H
+5	Show that ${-n \choose i} = (-1)^i{n+i-1 \choose i} $
+10	Determining the Lipschitz constant

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22 Answers

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4	how to add/subtract than multiply fractions?
3	Show that $\nabla\cdot (\nabla f\times \nabla h)=0$
3	Solve $y^{\prime \prime}-(y^{\prime})^2-y^{\prime}=0$
2	Homogeneous equation
2	Find an analytic bijection function ${f(z)}$ on $\Bbb{C}$ such that there exist only one $z_{0}$ such that ${f(z_{0})} = z_{0}$.

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45 Tags

8 differential-equations × 9	3 real-analysis × 9
5 algebra-precalculus × 3	3 vector-analysis
4 homework × 23	2 complex-analysis × 4
4 education	1 calculus × 5
4 fractions	1 probability × 4

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3 Accounts

$Mathematics Stack Exchange$	Mathematics	893 rep	110
	Physics	123 rep	3
	Programmers	111 rep	3

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50 Votes Cast

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4	down		35	answer		8		1

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