On Wikipedia, the terms Exponential Growth and Geometric Growth are listed as synonymous, and defined as when the growth rate of the value of a mathematic...

What is the maximum vertical distance between the line $y = x + 20$ and the parabola $y = x^2$ for $−4 ≤ x ≤ 5?$ What steps do I take to solve this? Do I ...

Let, $$y = mx + c \tag 1$$ is the equation of a straight line. Let, it passes through the point, $$(x_0, y_0)$$. So, from (1) we find, $$c = y_0 + mx_0 \t...

How would I graph an equation with an absolute value inside an absolute value? For example, $\left|-\left|x\right|+1\right|+\left|y-2\right|=3$ I tried gr...

In Terence Tao's book "Analysis 1", in definition 3.3.1 (function definition), he says Let $X, Y$ be sets, and let $P(x, y)$ be a property ...

I've heard of some other paradoxes involving sets (i.e., "the set of all sets that do not contain themselves") and I understand how paradox...

Sorry this is a really simple problem but I couldnt figure it out. I'm trying to find the value of $3^{1000}\bmod 7$. I know the actual value is 4, b...

How can I show that $(A^T)^+=(A^+)^T$, where $A^+$ is Moore-Penrose Inverse? I know there are 4 properties of the Moore-Penrose Generalized inverse, for e...

I want to calculate the complexity of an algorithm in MATLAB (not the time complexity), however, all the matrices are complex ones. I guess that the compl...

Is multiplying a matrix by a row vector the same as multiplying it by a column vector? Or are there any differences between the two?