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Activity for wizzwizz4‭

Type On... Excerpt Status Date
Comment Post #295704 Fractal dimension is another place where you can give meaning to a non-integer value… although there are a lot of different notions of fractal dimension, which all only coincide on the integers, so it's not really a counterexample. However, if you can parametrise a shape which is an $a+b$ line fo...
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6 months ago
Comment Post #295704 Exponentiation has a different left and right identity. The successor function is a unary operation with no notion of "identity" at all. There are many ways we can interpolate between the hyperoperations (e.g. piecewise linear), and this question doesn't give enough constraints to choose one: so ...
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6 months ago
Edit Post #295618 Initial revision 6 months ago
Question Are there multiple (small class) extensions of the naturals?
Suppose we have the natural numbers $\mathbb N = \left\{0,\,1,\,2,\,\cdots\right\}$, and the usual addition operator $+$. Suppose also that we want to extend the natural numbers, so we have more numbers to play with. We can define the set $\mathbb Z$ as equivalence classes of pairs of naturals $(...
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6 months ago
Edit Post #295480 Initial revision 7 months ago
Answer A: When does Exclusive Or, ⊕, automatically become Inclusive Or?
Exclusive or ("one or the other, and not both") is the same as inclusive or ("one or the other, or both") when the operands are not both true. Consider the truth tables: | $A$ | $B$ | $A \oplus B$ | $A \lor B$ | $A \oplus B = A \lor B$ | |:---:|:---:|:------------:|:----------:|:----------...
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7 months ago
Edit Post #283399 Initial revision about 5 years ago
Answer A: Intuitively, if you pick k out of n objects singly without replacement, why's the number of possible outcomes NOT $n(n-1) \dots [(n-(k - 1)]\color{red}{(n - k)}$?
Each term of that product gives the size of the pool when you pick an object out – it's the number of possible items you can pick out at that moment, if you're picking them one at a time. Once you've taken $k$ items out of a pool of $n$ items, there are $n - k$ objects left over. This means th...
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about 5 years ago
Edit Post #283398 Initial revision about 5 years ago
Question Finding the smallest Mersenne-number multiple of an odd integer
Problem Given an odd integer $a$, there exists some smallest $b$ such that $a\times b = 2^n-1$ (for some $n$). Find $b$ and $n$. What is an upper bound for this problem? What is a lower bound for this problem? In what cases is it easier? Naïve algorithm I know I can count up ...
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about 5 years ago
Comment Post #283300 A tip: meta is for people to _decide on_ policies, more so than just to document them. While it's useful to describe what you've observed the policy to be in practice, a meta answer should be phrased as a definitive answer – and then people can downvote it if they disagree (so it looks like a def...
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about 5 years ago
Comment Post #278772 If (if) we're modifying the Markdown parser, I wonder whether replacing MathJax with [KaTeX](https://katex.org/) would be a good idea, too.
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almost 6 years ago
Comment Post #278772 Shouldn't the Markdown parser treat `$` and `$$` specially, then?
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almost 6 years ago
Edit Post #278763 Initial revision almost 6 years ago
Question Mathjax does not render new lines
I can't make a new-line in MathJax. Markup: $$1 + 2 \\ 3$$ Result: $$1 + 2 \\ 3$$ It's supposed to look something like this (but centred): $1 + 2$ $3$
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almost 6 years ago
Edit Post #278141 Post edited almost 6 years ago
Suggested Edit Post #278141 Suggested edit:
An $s$-sided dice has faces 1–$s$.
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helpful almost 6 years ago