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Apr
18
comment Estimate $\sum_{k=1}^{n} k^{k-1} \binom{n}{k} (n-k)^{n+1-k}$
@joriki Thanks, could not figure out then how to correct it, now I remembered it's 2 parameters, not through a comma. Thanks
Apr
18
comment Induction proof [ little-o notation ]
No, induction only proves for integers. Think about it - if you prove $P_1$ and also that $P_n \implies P_{n+1}$ then together they imply $P_2$ and then $P_3, P_4, \ldots$. But nowhere did we prove $P_\pi$ or $P_{1.5}$, for example
Apr
18
comment Finding Pi variables from matrix. From PageRank Algorithm.
Gaussian Elimination?
Apr
18
comment Estimate $\sum_{k=1}^{n} k^{k-1} \binom{n}{k} (n-k)^{n+1-k}$
Change index in the identity you are citing from $k$ to $m+1$ so $k-1 \to m$ and convert $\binom{n,m+1}$ to $\binom{n,m}$ by multiplying by the right things, that could clear hings up considerably
Apr
18
comment Induction proof [ little-o notation ]
Induction does not work for reals ($c$ in your case) only integers ($n$ in your case).
Apr
17
revised Hermitian matrix properties
added 17 characters in body
Apr
17
revised About the weights assigned in the linear regression
LaTeX edits
Apr
17
answered Relations: Reflexive, symmetric, transitive
Apr
16
comment calculus Population differential equation
General solution to an equation is the one that solves the equation with drops all terms without $P(t)$ in it in some form; i.e. $P''(t) + P(t) = \sin t$ becomes $P''(t) + P(t) = 0$. Such equations are called homogeneous and solutions are sometimes called that as well.
Apr
16
comment calculus Population differential equation
You are looking for a differential equation, i.e. some equation for the function $P(t)$ with derivatives. They give you a hint - rate of change of $P$ wrt $t$ is birthrate - deathrate, so what can you say about $P(t)$?
Apr
10
comment How do you calculate the cost of a number of related values?
Perhaps linear programming would help?
Apr
9
comment Pattern to last three digits of power of $3$?
Note sure if it will help but $3^{27} = 3^{3^3}$.
Apr
9
answered Fragemented linear feature alignment technique
Apr
5
comment Fragemented linear feature alignment technique
so in the input you will provide the coordinates of the endpoints I presume? An on the output, you want the list of items which are collinear (or parallel) grouped together?
Apr
5
comment Fragemented linear feature alignment technique
I'm a bit confused. Could you clarify, or bring an example?
Apr
4
answered Numerical Method: Approximating an Integral
Apr
4
answered Find the poisoned pie
Apr
4
reviewed Approve suggested edit on The null space of $A$ is the plane $x+y=0$ and $T(1,0,0)=(1,1,0)$
Apr
4
answered A question regarding integrating
Apr
4
comment Normal distribution help please
en.wikipedia.org/wiki/Law_of_large_numbers gives the expected value of the average. en.wikipedia.org/wiki/Central_limit_theorem gives the distribution of the average.