# Teun Verstraaten

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Math student from the Netherlands.

# 33 Questions

 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?

# 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

 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 ${f(z_{0})} = z_{0}$.

# 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

# 3 Accounts

 Mathematics 893 rep 110 Physics 123 rep 3 Programmers 111 rep 3