The eccentricity $ecc(v)$ of $v$ in $G$ is the greatest distance from $v$ to any other node. The radius $rad(G)$ of $G$ is the value of the smallest eccen...

My trig knowledge is old and rusty so given a known width $x$ and height $y$ and the width of the brace $w$, how would I calculate for $θ_2$ given the unk...

i computed the orth of a matrix on matlab: Why is it different from http://www.wolframalpha.com/input/?i=orthogonalize+%7B(1,+i,+2-i,-1),+(2%2B3i,+3i,+1-i...

I am looking for an algorithm to express some fraction $\frac{a}{b}$, with $a,b \in \mathbb{Z}$, as a sum of unit fractions, like: $$\frac{a}{b} = \frac{1...

How many ordered triples $(a, b, c)$ of positive integers exist with the property that $abc = 500$? Since, $500 = 2^2 5^3$ I believe this can be solved us...

If I have a trapezoid with a $4$m and $8$m base that is partly submerged vertically in water so that the top is $2$m above the surface and the bottom is $...

Show that the system of equations $$\begin{cases} 3x + y - z+u^2=0 \\ x - y + 2z+u=0 \\ 2x + 2y - 3z+2u=0 \end{cases}$$ can be solved for $x,y,u$ in terms...

In the book Algebraic Geometry by Hartshorne, page 74, it is said that the spectrum of a discrete valuation ring $R$ has only two points. How to show that...

I know that calculus is generally done in radians and that $\int{\sin{x}}$ ${dx}=-\cos{x}+C$ when working with them. I am trying to find the following def...

Find the area of the shaded region in the figure What steps should I do? I tried following the steps listed here https://answers.yahoo.com/question/index?...