Shaktal
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 24 In a group of 26 people, is it possible for each person to shake hands with exactly 3 other people? 15 Distinct permutations of the word “toffee” 10 Find the expansion for $\det(I+\epsilon A)$ where $\epsilon$ is small without using eigenvalue. 8 Sum of the sum of the sum of the first $n$ natural numbers 8 Prove this inequality: $|a_1b_1+a_2b_2+\cdots+ a_nb_n|\leq 1$ for two normalised vectors

### Reputation (7,156)

 +5 Can a limit of an integral be moved inside the integral? +5 Constructing a rotation matrix from complex eigenvalues +25 What is (a mod n) mod n? +10 What are the applications of finite calculus

### Questions (59)

 20 What are the applications of finite calculus 18 Proving there are an infinite number of pairs of positive integers $(m,n)$ such that $\frac{m+1}{n}+\frac{n+1}{m}$ is a positive integer 15 “L'Hôpital's rule” vs. “L'Hospital's rule”? 13 Show that $\frac{(3^{77}-1)}{2}$ is odd and composite 12 Can a limit of an integral be moved inside the integral?

### Tags (130)

 81 calculus × 48 32 probability × 23 63 linear-algebra × 34 29 sequences-and-series × 11 49 algebra-precalculus × 27 29 graph-theory × 2 43 discrete-mathematics × 12 25 integration × 26 33 matrices × 18 25 combinatorics × 11

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