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Next privilege 250 Rep.
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### Questions (10)

 3 Find roots of $3z^{100} - e^z$ in the unit disc. 2 (existence of) not Lipschitz function for every bound closed interval in $[0,1]$ with real values 2 Bounding minimal cover with maximal matching in connected graph 1 Show that $\sum_{k=1}^{n}a_ke^{2 \pi ikx}$ has a root in $\left[ 0,1 \right]$ 1 Counterexample needed that shows this family of graphs are not 3-color-able (vertex coloring)

### Reputation (129)

 +5 (existence of) not Lipschitz function for every bound closed interval in $[0,1]$ with real values +10 Find roots of $3z^{100} - e^z$ in the unit disc. +15 Find roots of $3z^{100} - e^z$ in the unit disc. +5 Show that $\sum_{k=1}^{n}a_ke^{2 \pi ikx}$ has a root in $\left[ 0,1 \right]$

 1 Find roots of $3z^{100} - e^z$ in the unit disc. 0 Counterexample needed that shows this family of graphs are not 3-color-able (vertex coloring)

### Tags (16)

 1 complex-analysis × 4 0 optimization 1 roots × 2 0 linear-programming 0 graph-theory × 4 0 linear-algebra 0 coloring × 2 0 matrices 0 combinatorics × 2 0 contour-integration

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