# user65132

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# 11 Questions

 8 Can we plot a regular octagon on a set of axes, where all vertices of the octagon lie on integer co-ordinates? 8 Inductively prove that this sequence of integrals is bounded. 8 Can we always draw $n/3$ disjoint triangles from $n$ points in the plane in general position? 3 A man has to paint n consecutive mile posts and wants to do this as inefficiently as possible… 3 The polynomials $P_n (X)$ are defined by $P_0 (X)=0$, $P_1 (X)=X$, and $P_n (X)=XP_{n-1} (X) + (1-X)P_{n-2} (X)$ for $n>1$

# 87 Reputation

 +5 Maximum modulus principle exercise. +40 Can we plot a regular octagon on a set of axes, where all vertices of the octagon lie on integer co-ordinates? +15 Inductively prove that this sequence of integrals is bounded. +10 Inductively prove that this sequence of integrals is bounded.

 1 Inductively prove that this sequence of integrals is bounded. 1 Evaluate $\int_{0}^{2\pi} \sin(\frac{\pi}{6} - 2\text{exp}(i\theta)) d\theta$ 0 Attractors and stability. 0 Can we always draw $n/3$ disjoint triangles from $n$ points in the plane in general position?

# 18 Tags

 1 complex-analysis × 3 1 contour-integration × 2 1 induction × 2 0 chaos-theory × 3 1 integration × 2 0 discrete-mathematics × 3 1 inequality × 2 0 geometry × 2 1 integral-inequality × 2 0 general-topology × 2

# 1 Account

 Mathematics 87 rep 10