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 Apr 15 comment Cardinality of solutions for a set of linear equations @Travis how there are not linear since A=BC? Apr 15 comment Cardinality of solutions for a set of linear equations Well from Travis's observation that BC=A it is quite obvious that the bound i am looking for all the different number of solutions is C(n,N) All the possible combinations of n elements out of N. Right? since the equations are linear dependent.As such any possible combinations of $x_i$ work Apr 15 comment Cardinality of solutions for a set of linear equations @Travis Well i am missing some theory because i cannot interpret why in curves $n=4$ where n is the possible elements of a curve. Apr 15 comment Cardinality of solutions for a set of linear equations Yes but $0 \notin \mathbb{F}_q^*$, since it is a field every element has multiplicative inverse so 0 is not part of it Apr 15 comment Cardinality of solutions for a set of linear equations @Travis Yes, actually $B=AC^{-1}$ Apr 15 comment Cardinality of solutions for a set of linear equations I guess the solutions for $x_1$ are all the possible elements in the field. But once $x_1$ is fixed this restricts the values of $x_2$ and $x_3$. Right? Apr 15 comment Cardinality of solutions for a set of linear equations It is not somehow dictated by the set of equations which are 3? Apr 15 comment Cardinality of solutions for a set of linear equations Is there a bounded formula for the number of possible solutions?are there some constants A,B,C that give different number of possible solutions than other? Apr 15 comment Cardinality of solutions for a set of linear equations @MarcvanLeeuwen i changed the question since it was wrong. Apr 15 comment Cardinality of solutions for a set of linear equations @MarcvanLeeuwen they lie in a finite field: $x_i \in F_N^*$ Apr 15 comment Cardinality of solutions for a set of linear equations Maybe the question was not clear. Given $A,B,C$. How many different sets of x_i satisfy this? Oct 14 comment Expected time of n events to complete Now it is clear thanx Oct 14 comment Expected time of n events to complete I still cannot get it.Something in parallel means they all start at the same time and finish at the same time, so is like waiting the execution of 1 job which is $1/\mu$ Oct 14 comment Expected time of n events to complete IF they are parallel then why it is not $1/\mu$ for the $n$ events to complete since the time for 1 equals the time for $n$ as they are processed in parallel? Oct 14 comment What is the correct inter-arrival time distribution in a Poisson process? What is the expected time then that i have to for the second event to finish? Apr 15 comment Existence of a map $\phi:\mathbb{Z}_{N^2}^* \mapsto \mathbb{F}$ Based on chinese remainder theorem there is an isomorphism: $\phi:\mathbb{Z}_{N^2}^* \mapsto \mathbb{Z}_{p^2}^* \times \mathbb{Z}_{q^2}^*$ And if $p$ and $q$ are primes then $\mathbb{Z}_{p^2}^*$ and $\mathbb{Z}_{q^2}^*$ constitute a field. I think this is one possible solution Mar 1 comment Great arc distance between two points on a unit sphere Even if without the wikipedia definition i cant see how the formula of inner product between $v_1$ and $v_2$ gives the result you wrote Feb 28 comment Great arc distance between two points on a unit sphere What you get is not the formula from here: en.wikipedia.org/wiki/Great-circle_distance#Formulas . I can't understand how the differences in cos are derived since you compute the inner product Feb 28 comment Great arc distance between two points on a unit sphere how exactly you got the dot product ? Dec 12 comment Can i approximate the inner product of two vectors by the sum of their coefficients? @nomen what is an NDA?