Is the Fibonacci sequence exponential?
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Is the Fibonacci sequence exponential?

I could not find any information on this online so I thought I'd make a question about this. If we take the Fibonacci sequence $F_n = F_{n-1} + F_{n-...

Published: Aug 29, 2026

Adapting a picture proof of trig's Angle Addition identities to angles greater than $90^\circ$
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Adapting a picture proof of trig's Angle Addition identities to angles greater than $90^\circ$

I am currently learning about the Trig addition formula. The book I am reading has a proof for it. The proof is attached here: However, I have a question ...

Published: Aug 29, 2026

Category of all categories vs. Set of all sets
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Category of all categories vs. Set of all sets

In naieve set theory, you quickly run into existence trouble if you try to do meta-things things like take "the set of all sets". For example, does the se...

Published: Aug 29, 2026

The determinant of adjugate matrix
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The determinant of adjugate matrix

I have the following proof that I would like to be walked through because I'm not intuitively seeing what to do: If $A$ is $n\times n$, prove $\det\l...

Published: Aug 29, 2026

On the behavior of transcendental functions
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On the behavior of transcendental functions

Given that single-variable algebraic functions take on algebraic values when the input is algebraic, and take on transcendental values when the input is t...

Published: Aug 29, 2026

finding bases for row space and null space of matrix.
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finding bases for row space and null space of matrix.

My problem is: For the matrix $$A = \begin{bmatrix} 1& 4& 5& 6& 9\\ 3& −2& 1& 4& −1\\ −1& 0& −1& −2& −1\\ ...

Published: Aug 29, 2026

Trouble understanding Sum of Subspaces
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Trouble understanding Sum of Subspaces

I started reviewing linear algebra, from a different textbook (Axler's), after taking a fast paced summer class. Unfortunately, I've become conf...

Published: Aug 29, 2026

Painting cube with 3 different colours [closed]
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Painting cube with 3 different colours [closed]

Painting cube with 3 colours (using each colour at least one time) Find no. of ways to colour the cube. (Rotation don't change the colouring.) Solve ...

Published: Aug 29, 2026

What is $\cot(\pi/2)$?
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What is $\cot(\pi/2)$?

Base on the unit circle, I know $ \begin{align} &\cot\left(\frac{\pi}{2}\right) \\ =&\frac{0}{1}\\ =&0 \end{align} $ But it is also $ \begin{a...

Published: Aug 29, 2026

An Explanation of the Kalman Filter
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An Explanation of the Kalman Filter

In the past 3 months, I've been trying to understand the Kalman Filter. I have tried to implement it, I have watched YouTube tutorials, and I have re...

Published: Aug 29, 2026

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