sorry for the dumbest question ever, but i want to understand total order in an intuitive way, this is the defition of total order: i) If $a ≤ b$ and $b ≤...
Introduction Cookie Clicker is a silly Javascript based web game. Here is a brief description of what you do: (description taken from this question: Expla...
Geometric topology is more motivated by objects it wants to prove theorems about. Geometric topology is very much motivated by low-dimensional phenomena -...
"Convert the following system of linear equations into an augmented matrix and then solve it" $$x_1 + x_2 - x_3 - x_4 = 7$$ $$2x_1 - x_2 + 3x_3 + x_4 = 1$...
I need to calculate in how many ways we can create a 15 digit number in which every digit appears at least once. My first thought was that this was easy -...
I am currently reading "Discrete Mathematics and Its Applications, 7th ed", p.29. Example: Use De Morgan’s laws to express the negations of “Miguel has a ...
Find the unit digit of: $$\left\lfloor{10^{20000}\over 100^{100}+3}\right\rfloor$$ I am completely clueless about how to deal with such huge powers. I not...
In my book, I am given this proof: $$ Cov(X,Y) = \mathbb{E}[X - \mathbb{E}X][Y - \mathbb{E}Y]$$ $$ Cov(X,Y) = \mathbb{E}[XY] - 2\mathbb{E}[X] \mathbb{E}[Y...
SE users I was given the problem: Find the volume of a frustum of a right circular cone with height h, lower base radius R, and top radius r. My working l...