How to apply De Morgan's law?
If for De Morgan's Laws $$( xy'+yz')' = (x'+y)(y'+z)$$ Then what if I add more terms to the expression ... $$(ab'+ac+a&...
Apr 12, 2026 1 VIEWS
Topic: General
5104 Articles 
Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
If a function has a limit from the right but not from the left, is it still continuous?
Apr 12, 2026 1 VIEWS
Differential of normal distribution
Let $$f(x)=\frac{\exp\left(-\frac{x^2}{2\sigma^2}\right)}{\sigma\sqrt{2\pi}}$$ (Normal distribution curve) Where $\sigma$ is constant. Is my derivative co...
Apr 12, 2026 1 VIEWS
What does "prove" mean?
What does "prove" mean? I am using the following examples to understand the general cases. I don't know how to articulate my questions in t...
Apr 12, 2026 1 VIEWS
Sequence vs Progression
I understand the difference between these two terms. My textbook says that terms in a sequence follow some definite rule, or an algorithm, and it’s not al...
Apr 12, 2026 1 VIEWS
Find the value of csc$\frac{16\pi}{3}$.
Q. Find the value of csc$\frac{16\pi}{3}$. A. This angle is equal to two full revolutions plus $\frac{4\pi}{3}$. I got this by subtracting, $\frac{16\pi}{...
Apr 12, 2026 1 VIEWS
Equivalent forms of exponential expressions
Rewrite the expression $27^{ t }$ as $A⋅B^{ 1−3t }$ This is a problem from KhanAcademy. Steps I took: $9\cdot 3^{1-3t}=$ $9\cdot 3^{ 1}\cdot 3^{-3t } =$ $...
Apr 12, 2026 1 VIEWS
How to name the opposite of "leading term" in a polynomial?
Any polynomial consists of many monomial terms. If we sort them by decreasing order according to the degree, then the first term is called the leading ter...
Apr 12, 2026 1 VIEWS
Conditional statement contradicts truth table
I have spent all day reading over SE and other sites trying to understand this but I am having trouble. The conditional statement: If you are a guitar pla...
Apr 12, 2026 1 VIEWS
Principal Value of Inverse Trig Function
There was a question on my math test that asked for the principal value of $\arcsin(\sin(10)$. My friend says it is $10-3 \pi$ but I say it is $3 \pi -10$...
Apr 12, 2026 2 VIEWS
Find the square root of a matrix
Let $A$ be the matrix $$A = \left(\begin{array}{cc} 41 & 12\\ 12 & 34 \end{array}\right).$$ I want to decompose it into the form of $B^2$. I tried...
Apr 12, 2026 1 VIEWS
A step in proof of Burnside's Theorem
I am reading the proof of Burnside's Theorem and it uses the following lemma in the online notes. page $70$ of - https://www.college-de-france.fr/med...
Apr 12, 2026 1 VIEWS