Oscar Cunningham / is on Nostr

"57298fb1d71b514be81eb5e2382a03a36ae06958d9c093395469cb28a536223d5a1090800fa5b75db88efcefc0a0914aedb26b0e96fc205788c7a7c4b227ee7b"

Last Notes

2024-11-02 13:27:47

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@npub1255…q6yz How is a 1D Langton's Ant different from a Turing machine?

2024-01-13 13:56:42

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@npub1upk…tcwy Could 'orphan commit' also refer to a commit with no parents? The kind you can create with 'git checkout --orphan'?

2023-12-12 15:41:09

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@npub1upk…tcwy That makes sense. So you can't remove a commit from the middle of a branch, just from the leaf.

2023-12-12 15:00:52

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@npub1upk…tcwy From what you said previously, I thought a branch was just a pointer to a commit, with the 'branch' thought of as all the ancestors of that commit. So what does it mean to remove a commit from a branch in order to break the first 'imagined rule'? I'm guessing it doesn't mean to change which commit an existing commit thinks of as its parent.
Happy for anyone else to answer too!

2023-09-06 12:40:45

soap dispenser ran out
refilled soap dispenser
got soap on my hands
need to wash hands
squirt soap on my hands
to wash off the soap

2023-08-21 10:20:50

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@npub14lm…5crk a) The factorial isn't defined for negative integers. For x ≥ 0 we have a solution at x = 0, since 0! and 2⁰ are both 1. At x = 1 and x = 2 we have no solution since 1! < 2¹ and 2! < 2². For larger x, x! has a factor of 3, and so cannot be equal to 2ˣ. So there is one solution total.
b) When the factorial is extended to the reals, it has an asymptote at every negative integer. Between these asymptotes it gets close to 0. In fact near -(n+1/2) the value of x! is approximately ±1/n!. Since this is shrinking much faster than 2ˣ, the two functions cross near every asymptote, meaning that this equation has infinitely many solutions.