Is $y=0^x$ really a function?
I know that there are three main options when it comes to dealing with $0^0$: $$0^0=0$$ $$0^0=1$$ $$\nexists x(x=0^0)$$My question is, do we have to asser...
Apr 20, 2026 1 VIEWS
Topic: General
5104 Articles 
Book request for first order logic
I would like to receive a book recommendation about first order logic. One might say that there are plenty of references in the internet about this topic ...
Apr 20, 2026 1 VIEWS
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius r?
I checked this question but didn't fully understand it. I know that the volume of a right circular cone is $V = \frac{1}{3}\pi x^2h$ I know that I mu...
Apr 19, 2026 1 VIEWS
harder expected value probability question
I have a question on expected value. I have the solutions for it but they havent explained exactly what they have done, and i am a bit confused whilst rev...
Apr 19, 2026 1 VIEWS
Eliminate parameter $t$ in a set of parametric equations
Question: Given the set of parametric equations: $x = 2 \tan t$ $y = 2 \cos^2 t$ Eliminate the parameter $t$ and find the rectangular equation for the cur...
Apr 19, 2026 1 VIEWS
Reverse scaling [closed]
I had to standardize a range of numbers to a scale from 0 to 1. The end result is interpreted in the new range as higher the number in new scale is positi...
Apr 19, 2026 2 VIEWS
Are the equations $2x - 2y = 11, x = y - 2$ unsolvable?
My 9th grade son had this math problem, which seemed unsolvable to me: $$2x - 2y = 11$$ $$x = y - 2$$ So we can use substitution to come up with: $$2(y - ...
Apr 19, 2026 2 VIEWS
Sum of positive definite matrices still positive definite?
I have two matrices, which are square, symmetric, and positive definite. I would like to prove that the sum of the two matrices still have the same proper...
Apr 19, 2026 1 VIEWS
Finding Area of a Triangular Pyramid
I an trying to implement a program that needs to have a triangular pyramid and calcualte its surface area, and need some conceptual help. Suppose I have a...
Apr 19, 2026 1 VIEWS
Eigenvalues of symmetric matrices [closed]
Why does a symmetric matrix with elements in $\mathbb R$ have all eigenvalues in $\mathbb R$? How do you show that?
Apr 19, 2026 2 VIEWS
Calculate work done using integral
A chain lying on the ground is 10m long and its mass is 80kg. How much work is required to raise one end of the chain to a height of 6m? So im working in ...
Apr 19, 2026 1 VIEWS
Archimedean Property and Real Numbers
I have few confusions: a) What exactly is Archimedean Property. What does infinitesimal and infinite numbers do not exist in Archimedian ordered fields me...
Apr 19, 2026 1 VIEWS