Let $A_1,\dots,A_n$ be finite sets. I want to show the following equation. $\lvert A_1 \cup \dots \cup A_n \rvert = \displaystyle\sum_{k=1}^n{(-1)^{k+1}\l...

I am trying to prove the following property for a ring $R$ $$a\cdot(-b)=(-a)\cdot b=-(a\cdot b)$$ where $a,b\in R$ and let $-x$ denote the additive invers...

How can we convert feet/radian to feet/degrees? I need to convert $-7600\sqrt 3 \frac{feet}{radians}$ I know the answer is: $-\frac{380 \pi} {9} \sqrt 3$ ...

I'm reading Grothendieck's Tōhoku paper, and I was curious about the reasoning behind the terms "effaceable functor" and "injective efface...

Write a Matlab function that applies the Gauss three point rule to N sub-intervals of $[a, b].$ The input parameters should be the name of the function be...

So, I have finished study for linear equations for my methods course but now I have run into a problematic quadratic equation. I have tried researching fo...

The decimal number 371 equals the hexadecimal number 0x173. The part that is relevant to me is that 371 is simply 173 backwards. Is this the only multiple...

I have a histogram, and I want to estimate the parameters of the underlying distribution. Here is the data I've taken from the graph: $$ \begin{array...

I need to graph $1 \over d^2$ with average light intensity, where $d$ is $5,10,15,20,25,30$ (i.e. squared would be equal to $1\over25$$1\over100$$1\over22...

I saw an equation as the following one. What is the meaning of the symbol looking like an inverse T? How about the symbol "^"? ///////////////////////////...