Celeb Glow

Topic: General

5104 Articles

Definition of vertex and edge.

So I'm trying to name things in a graphics library. Reading Wiki it says that a vertex is created by the meeting point of lines, line segments and ra...

Apr 16, 2026 1 VIEWS

How do I show that two sets are equal.

This is an ever so slightly modified version of a question from my book. My teacher went over this with me, but I would like an explanation that I can kee...

Apr 16, 2026 1 VIEWS

How to calculate large exponents by hand?

How to calculate large exponents by hand like they did in ancient times? Is it something to do with Prosthaphaeresis? for example calculate $2^{15}$.

Apr 16, 2026 1 VIEWS

Integral of $\sin^5(x)\cos(x)$

I'm trying to solve the following integral: $$\int\sin^5(x)\cos(x)$$ I assumed I would do u-substitution where: $$u = \sin(x)$$ $$du = \cos(x) dx$$ W...

Apr 16, 2026 1 VIEWS

7.7 standard deviations away from the mean?

I'm confused. I have a problem where I have to find the probability that x is below the z value 7.7. My z table only goes to z values of 3.4. How do ...

Apr 16, 2026 1 VIEWS

How to find the center of a log spiral?

Given just a few points on a log spiral, how to find the center? Considering that the circle is a degenerate case of the log spiral, is there a way to gen...

Apr 16, 2026 1 VIEWS

From complex rotation matrix to real matrix

Let's consider $R_{n}$ to be an $n \times n$ real rotation matrix. $R_{n}$ can be diagonalized with a unitary matrix $U_{n}$ to $D_{n}$, which is com...

Apr 16, 2026 1 VIEWS

Non-integer bases and irrationality

I read somewhere: When it comes to properties like prime, irrational, rational, divisible by 2, etc., nothing changes when you change base. But I'm n...

Apr 16, 2026 1 VIEWS

Derivation of the "Combined Work Formula"

Before I get to my question, some background: Person $A$ can paint a fence at the rate $9 \frac{hour}{fence}$ (or equivalently $\frac{1}{9} \frac{fence}{h...

Apr 16, 2026 1 VIEWS

Calculate Legendre symbol

When i calculate the legendre symbol for (101/1739), i end up with (2/27)*(5/27) in the middle of the calculation. I understand how to calculate (5/27), b...

Apr 16, 2026 1 VIEWS
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