Kirthi Raman
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 May14 comment Vertices required to construct a graph with at least $500$ edges If there are $n$ vertices, pick a vertex and see how many vertices can be connected to that ? $n-1$? Each of the $n$ vertices are connected to $n-1$ in $n(n-1)$ ways, but you are counting each connection twice, therefore total connections should be $\frac{n(n-1)}{2}$ which is $n\choose2$ May14 comment Why does $\binom{10}{7} = \frac{10!}{(10-7)!7!}$ @50ndr33 Watch these videos at artofproblemsolving.com/Videos/index.php?type=counting May14 revised Integral of $x^2\ln(x)$ using Simpson's rule edited tags May14 revised Calculate the volume between two spheres edited tags May14 comment solving Differential Equation @Sean87 I like the writing on the cup (Feel the same way about changing the world) May14 comment solving Differential Equation Yes, of course (Thanks) May14 comment solving Differential Equation @Prasad, also mention that $\log()$ here is to the base $e$ otherwise one can use $\ln()$ May14 comment solving Differential Equation It should be $7 e^{arctan(t)}$ because $x(0)=3$ not $4$. You still have +1 May14 answered solving Differential Equation May14 comment What is the geometrical representation of $1/R$? @Patrick, I envy you (blackboard at home?) My +1 May14 comment Mathmatical representation of recursion function Your $foo(n)$ is a flat function with value $1$, unless you are going to change your question to something else later. May14 comment Mathmatical representation of recursion function How is your answer helping this question? May14 comment Mathmatical representation of recursion function $f(1) =f(0)+f(-2)-1 = 1+1-1 = 1, f(2)=f(1)+f(-1)-1=1. f(3)=f(2)+f(0)-1=1$ May13 comment elementary inequality proof Use $\frac{5a+b}{2} \geq \sqrt{5ab}$ and also the fact that $\sqrt{5} > 2$ to get the desired result. May13 comment Triangle-ish Number Series $T$ is not the same in those two expressions, and if they are then $q=x-(n+1)y$ May13 comment Multiplication convention rules The fact that students have to face such a teacher year after year, I would give a warning (if I come across such grading) and the second such mistake would cause termination. May13 comment How to multiply two polynomials represented by values at distinct points? Computationally if you store them as a vector, that is equivalent to what J.D. has answered. (If one has written a program in any language one would know) May12 comment Help with question involving limits, bounds, inequalities $(4+5)^n > (4^n+5^n)$ and try similarly from the other end to show $(a)$ part. May12 answered How to multiply two polynomials represented by values at distinct points? May12 comment How to multiply two polynomials represented by values at distinct points? You treat them like vector implementation (not matrices). You would have for polynomials of degree $n$, $n$ multiplications and $n-1$ addition for product.