general
Comparing two 2-bit binary numbers
In order to compare two 2-bit numbers, I need to create a truth table, develop the equation for the equal more or less case, optimize the equations the th...
Apr 19, 2026
Archive: General
general
Unbiased estimator of variance
My question is why is the best and most commonly used estimator for the variance (in a Gaussian distribution) the sample variance with constant 1/n-1 when...
Apr 19, 2026
general
Find the exact length of the arc of this curve
$y = 2e^x + (1/8)e^{-x}$ ... on the interval $[0, \ln(2)]$ I know am supposed to user the Arc Length formula, but I'm not sure if I have the derivati...
Apr 19, 2026
general
Equivalent condition for convergent partial products.
Is the folllowing argument correct? All cited theorems are presented below.> Proposition. Show, in general, that the sequence of partial products of the f...
Apr 19, 2026
general
How do I find a spanning tree of a graph using a breadth first search?
For a practice question I have been given I have been told to find a spanning tree using a breadth first search for the following graph: From this point o...
Apr 19, 2026
general
Definition of a logarithm
My question is as follows: Is the below a useful elementary way of dealing with negative arguments? If not, what is a better (elementary or not) way of de...
Apr 19, 2026
general
Calculate position with increasing acceleration.
So if calculating the change in an object's position (with a constant acceleration) is done with this equation: $o = vt + (\frac12)a t^2$ $o$ is offs...
Apr 19, 2026
general
Taylor Series of trigonometric function
I searched quite a bit online but could only find the MACLAURIN SERIES of $\sin x$ and $\cos x$: $$\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^...
Apr 19, 2026
general
Codomain of a function
At high school we were told that a function has a domain and a range, the function maps from the domain to the range. Such that the domain contains all an...
Apr 19, 2026
general
Factorial of infinity
So, I've read in this article that: $$\zeta'(0) = \log\sqrt\frac 1 {2\pi}$$ And that: $$e^{-\zeta'(0)} = 1\cdot2\cdot3\cdots \infty = \inft...
Apr 19, 2026
