general

Is there a unique minimal expression for every boolean function?

Is there a unique minimal expression for every boolean function? I've heard that there are some boolean expressions for which the minimal form is not...

Published: Aug 11, 2026

updates

Prove in full detail that the set is a vector space

So I'm doing a review test and I have this problem: Prove in full detail, with the standard operations in R2, that the set {(x,2x): x is a real numbe...

Published: Aug 11, 2026

general

Physical meaning of one dimensional heat equation.

Consider heat conduction in a $1$-D material. The temperature distribution $u$ after sufficiently long time can be modeled by $$-(a(x)u_x)_x = f(x), \qqua...

Published: Aug 11, 2026

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Is the absolute value function a linear function?

I'm inclined to say yes, as it doesn't involve exponentiation, roots, logarithmic or trigonometric functions, but I watched a video where the te...

Published: Aug 11, 2026

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Maximum Number of horizontal asymptotes of a Rational function

The maximum number of horizontal asymptotes a Rational function can have is 1 according to Thomas calculus 14th edition. The only reasoning I could come u...

Published: Aug 11, 2026

news

Image of Intersection of sects not equal to intersection of images of sets [duplicate]

How to disprove, if $f$ is a function, $f(A \cap B) != f(A) \cap f(B)?$

Published: Aug 11, 2026

general

the math model of the slot machines [closed]

Could you please tell me or give me the sources - what we understand by a math model of the slot machine. What does it mean that the game is well or badly...

Published: Aug 11, 2026

updates

Convert boolean expression into SOP and POS

Convert the following expression into SOP (sum of products) and POS (product of sums) canonical forms using boolean algebra method: $(ac + b)(a + b'c...

Published: Aug 11, 2026

updates

Do negative dimensions make sense? [duplicate]

Some time ago I read in a popular physics book that in M-theory, there are some "things" which can be said to have dimension $-1$. Probably, the author wa...

Published: Aug 11, 2026

updates

What is Milnor fiber?

Let $f:\mathbb{C}^{n+1}\to\mathbb{C}$ be a map with $0\in\mathbb{C}$ a critical value. Let $X_0=f^{-1}(0)$ and $x\in X_0$, then the map $F:\frac{f}{|f|}:S...

Published: Aug 11, 2026