In my geometry class last year I remember putting down the statement in a column proof "That all isosceles are always and only similar to other isosceles"...
Why, in the rules regarding the discriminant determining whether roots are real or not, does it matter that the quadratic has real coefficients? For the r...
I am looking to the review document for linear algebra (Zico Kolter (updated by Chuong Do), Linear Algebra Review and Reference), and the part of the quad...
Consider a random walk starting at $x_0 \in [0,1]$. At any discrete time step $k \in \mathbb{N}$, the new position is given by: $$x_k = \min\{\max\{x_{k-1...
Is there a way to prove that two points $P, Q$ are collinear using a method similar to that if points $A, B, C$ are collinear then $$\operatorname{area} \...
I am confused about what is the geometric representation and interpretation of the secant and cosecant of an angle. I understand how to calculate them but...
Suppose that $f:[0,180]\to[-1,1]$ given by $\theta\mapsto\cos\theta$ I wondered whether there was a notation for this domain, the principle values of a tr...