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What is the mathematical symbol for "not proportional to"?
For saying that x is proportional to y, one would write: $$x \propto y$$ But how could I write it if x isn't proportional to y?
Apr 13, 2026
Archive: News
news
Finding the acceleration of a system
I think I'm missing something in my working of this mechanics question. The working seems to short but I don't know what else to do. Box $A$ of ...
Apr 13, 2026
news
In probability: is there a name for 1-x or x-1?
I should frame this question in the context of dealing with probabilities: I've read the wikipedia entry on the multiplicative inverse: http://en.wik...
Apr 13, 2026
news
What does a triple integral represent?
From my understanding if the integrand is 1, then it gives you the volume of the region defined by the bounds. But what does the value of a triple integra...
Apr 13, 2026
![How to Calculate Irrational Numbers [closed]](https://news.conceivablytech.com/uploads/how-to-calculate-irrational-numbers-closed_720.jpg)
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How to Calculate Irrational Numbers [closed]
I would like to understand how to "calculate" irrational numbers. By that I mean, how did an irrational number come into existence. In order to understand...
Apr 13, 2026
![What is the proof that the total number of subsets of a set is $2^n$? [closed]](https://news.conceivablytech.com/uploads/what-is-the-proof-that-the-total-number-of-subsets-of-a-set-is-2-n-closed_720.jpg)
news
What is the proof that the total number of subsets of a set is $2^n$? [closed]
What is the proof that given a set of $n$ elements there are $2^n$ possible subsets (including the empty-set and the original set).
Apr 12, 2026
news
Minimum eccentricity of ellipses around another ellipse
Six circles can surround another circle of equal size, with each circle touching both the central circle and its two neighbouring outer circles. For suffi...
Apr 12, 2026
news
How to prove a formula for the sum of powers of $2$ by induction?
How do I prove this by induction? Prove that for every natural number n, $ 2^0 + 2^1 + ... + 2^n = 2^{n+1}-1$ Here is my attempt. Base Case: let $ n = 0$ ...
Apr 12, 2026
news
Calculating limit of ln(arctan(x)) using chain rule
I know there are other options to do that, but I'm trying to use the chain rule to calculate this limit and I get a wrong answer. So what's wron...
Apr 12, 2026
news
Find, describe and sketch the domain of the function $g(x,y,z)$
Find and describe the domain of $ g$ let$$g(x,y,z)= x^3y^2z \sqrt{\ 10-x-y-z} $$ my approach was by considering $$ 10-x-y-z \geq 0 $$ but I can't see...
Apr 12, 2026
