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Initial value/differential equations problem
The problem in question: The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of ...
Apr 11, 2026
Archive: News
news
Understanding a vacuously true statement through the following example.
I have the following logical implication If John is a dragon, then everyone in town gets 1000 gold coins. p = John is a dragon q = Everyone in town gets 1...
Apr 11, 2026
news
What type of mathematics is posed in the movie "A Beautiful Mind"?
There is a scene in the movie "A Beautiful Mind" in which John Nash is talking to his friend Charles in Princeton Library. Nash shows Charles three pieces...
Apr 11, 2026
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Pointwise vs. Uniform Convergence
This is a pretty basic question. I just don't understand the definition of uniform convergence. Here are my given definitions for pointwise and unifo...
Apr 11, 2026
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Finding the values of $\cos \frac{n\pi}{2}$ and $\sin \frac{n\pi}{2}$.
i know that the values of $\cos n\pi=(-1)^{n}$ and $\sin n\pi=0$. Now i want to know that what is the general expressions of $\cos \frac{n\pi}{2}$ and $\s...
Apr 11, 2026
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How to calculate the number of paths of minimum length possible a knight can take to get from one corner of a chess board to the opposite one?
I've written a small Python script to give me the least number of moves it takes a knight to get from one square to any other on a $n{*}n$ chess boar...
Apr 11, 2026
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Proving the (Strong) Four Lemma using the Snake Lemma
$\DeclareMathOperator{\im}{im} \DeclareMathOperator{\coker}{coker} \require{AMScd}$ The usual formulation of the Strong Four Lemma is: given the diagram b...
Apr 11, 2026
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How many Strings of 6 letters contain: Exactly one Vowel, At least one Vowel?
I'm asked the following two questions: How many Strings of 6 letters contain a) Exactly one Vowel b) At least one Vowel a) This is what I know: The E...
Apr 11, 2026
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Recommendation for a book and other material on dynamical systems
I currently have the book Dynamical Systems with Applications Using Mathematica by Stephen Lynch. I used it in an undergrad introductory course for dynami...
Apr 11, 2026
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Order of operations - why are they in the order they're in?
I understand the order of operations, but why are they ordered the way they're ordered? Is there a particular reason why multiplication should have a...
Apr 11, 2026
