# Aran Komatsuzaki

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bio website location Grinnell, IA age 19 member for 1 year, 5 months seen 6 hours ago profile views 260

Currently enrolled in Grinnell College

Majoring in math

# 40 Questions

 6 Rudin's 'Principle of Mathematical Analysis' Exercise 3.14 4 How to solve the system $t\frac{dx}{dt}=-x+yt$, $t\frac{dy}{dt}=-2x+yt$? 3 Differential Geometry of Curves and Surfaces 3 $\sum_{k=0}^{n}(-1)^k {{m+1}\choose{k}}{{m+n-k}\choose{m}}$ 3 $\sum_{n=0}^{14}\tan(12n+1^\circ)$

# 915 Reputation

 +5 Motivation for Putnam (soft question) +15 Differential Geometry of Curves and Surfaces +10 Generalized Cauchy's theorem (group theory)? +10 What's the difference between simple induction and strong induction?

 6 Structured Self-Learning Program for Calculus I & II 6 What's the difference between simple induction and strong induction? 3 Logarithm of $\frac{a^k}{a^k-1}$ 3 How to evaluate $\lim_{h\to0}\frac{1}{h}\int_{-h}^{h}f(t)dt?$ 3 Trigonometry : Simplify and find the value of $\tan\theta(1-\sec\frac{\theta}{2})(1-\sec\theta)(1-\sec2\theta)\dots(1-\sec2^{n-1}\theta)$ at n =1,2,3

# 81 Tags

 9 calculus × 9 6 reference-request 6 induction × 2 3 trigonometry × 3 6 soft-question × 2 3 real-analysis × 3 6 education 3 arithmetic × 2 6 self-learning 3 algorithms

# 10 Accounts

 Mathematics 915 rep 112 Academia 211 rep 18 Biology 123 rep 4 Stack Overflow 113 rep 4 Physics 103 rep 3