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Aug
26
comment Average length of a cycle in a n-permutation
do you count cycles of length $1$?
Aug
26
accepted a matrix of rank $r$ satisfies a polynomial of degree $r+1$.
Aug
25
revised Finding amounts of ingredients in a food based on nutrients
deleted 2 characters in body
Aug
25
comment Finding amounts of ingredients in a food based on nutrients
Yes, sorry $v_1,v_2\dots v_{50}$ are linearly dependent, this is because there are more vectors than the dimension of the vector space, which is ten. I fixed it.
Aug
25
comment A square matrix is called skew-symmetric if $A^T=-A$. Prove that if $A$ and $B$ are skew-symmetric matrices, then $A+B$ is skew symmetric.
What have you tried? Do you know what the transpose is?
Aug
25
revised Combinatorial Proof for Binomial Identity: $\sum_{k = 0}^n \binom{k}{p} = \binom{n+1}{p+1}$
added 2 characters in body
Aug
25
answered Calculating some probability of buying different cards
Aug
25
answered Combinatorial Proof for Binomial Identity: $\sum_{k = 0}^n \binom{k}{p} = \binom{n+1}{p+1}$
Aug
25
answered Finding amounts of ingredients in a food based on nutrients
Aug
25
answered Ram shoots every third penalty to goal.If he gets chance to shoot all 5 penalty shots.What is the probability that he converts (does) exactly 3 goals.
Aug
24
answered If $|xH|$ has order $n$, then there is an element $y$ with $|y|=n$ and $xH=yH$
Aug
24
comment Book on discrete mathematics for self study
What do you mean Ragnar, do you mean an electronic version?
Aug
23
answered $S$ is a non empty set and there are $a$ and $b$ for $c$ and $d$ such that $a\cdot c = d$ and $c\cdot b = d$, prove it is a group
Aug
23
comment Seating people around a circular table (elementary counting technique)
Yes, I agree with that. Nice approach by the way.
Aug
23
answered Seating people around a circular table (elementary counting technique)
Aug
23
answered What is the smallest prime $p$ such that the next prime is greater than $p+2000\ $?
Aug
23
comment What is the smallest prime $p$ such that the next prime is greater than $p+2000\ $?
@Peter I tried to do it for larger numbers but my system crashed :(
Aug
23
comment What is the smallest prime $p$ such that the next prime is greater than $p+2000\ $?
The numbers seem to be large, for 220 the smallest primes are 122164747 and 122164969. I can't get past this :(
Aug
22
comment A false conjecture by Goldbach
I ran a computer program and 5777 seems to be the smallest number with that property, 5993 is the next.
Aug
22
comment Is $S(a \cdot b)$ always less than $S(a) \cdot S(b)$
Sorry, the inequality is an equality if and only if $\sum_{l+k=j}a_ka_j$ is less than $10$. Thanks for noticing.