For a class assignment I need to calculate the probability of winning the game called Casino War. I've never done anything with chance before (only h...

It is often said that we can think of groups as the symmetries of some mathematical object. Usual examples involve geometrical objects, for instance we ca...

Find the general solution of the given differential equation $$\frac{y^2}{2}-2ye^t+(y-e^t)\frac{dy}{dt}=0$$ So we are learning about exact equations and t...

Does anyone know how to prove the absorption laws in Boolean algebra? i.e. $$x + (x * y) = x$$ $$x * (x + y) = x$$ Thankyou so much

Is there an easy way to invert the matrix on right-hand-side? Like is there some quick formula or observation we can make or do I have to do it manually a...

Does the equation $$A\cos(\theta) + B\sin(\theta) = \sqrt{A^2+B^2}\cos(\theta + \gamma) \label{1} \tag{1}$$ with $\gamma = \arg(A-jB)$ require that $A$ an...

Is there a simple way to get 3D distance between two parallel lines given end points of each line?

what is the expression symbol of this following propositional logic ? Big peoples eat much except i am hungry. i've read that A except B is usually t...

In my class the word "cover" is used very informally such as this set covers another set (this is for a class in PDE not topology by the way). Can someone...

Proof: Let eigenvalue $\lambda \neq 0$ such as $$\textbf{A}\vec{v} = \lambda\vec{v}$$ $$\Rightarrow (\textbf{A}\vec{v})^\ast = (\lambda\vec{v})^\ast$$ $$\...