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  • 31 votes cast
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
7
comment “Great Circle” distance
the norm is not computed correctly . It is not r but
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 ?