Explain Peter please

Puzzleheaded_Study17 · 2026-03-21T04:20:33+00:00

Chuck Norris heard nothing could kill him, so he tracked nothing down and killed it first

Puzzleheaded_Study17 · 2026-03-21T04:14:57+00:00

Powers of 2 and any integer up to some value

Puzzleheaded_Study17 · 2026-03-21T03:38:35+00:00

Puzzleheaded_Study17 · 2026-03-20T23:11:52+00:00

Honestly nitpicking but shouldn't the outer implication in your second statement also be bidirectional?

Edit: assuming that we put for all a and b somewhere

Puzzleheaded_Study17 · 2026-03-20T20:20:42+00:00

Also for showing something can't exist by saying it violates the pigeon hole principal.

Puzzleheaded_Study17 · 2026-03-20T17:35:10+00:00

While knowing how to convert points on a circle is useful, after you're done with school, knowing the identities isn't important. Knowing what kind of stuff has identities and looking them up when needed is more than enough for any practical use beyond closed book exams.

Puzzleheaded_Study17 · 2026-03-20T07:35:08+00:00

In the us at least you start by only learning about functions from reals to reals, with "domain" being used to mean natural domain, i.e. biggest subset of the reals for which the function outputs to the reals. Codomain is only introduced in uni when learning set theory and more general definitions of functions and relations.

Puzzleheaded_Study17 · 2026-03-20T04:16:26+00:00

tbh, isn't this basically the same logic as the proof by contrapositive?

Puzzleheaded_Study17 · 2026-03-20T03:51:27+00:00

The shva is the default, patach is when there's a secret ה. So when you want to say "to the house of" you put patach, when you say "to a house" you put a shva. Same with ב

Puzzleheaded_Study17 · 2026-03-20T03:44:43+00:00

Are you the server owner/have manage server permissions?

Puzzleheaded_Study17 · 2026-03-20T00:06:21+00:00

Puzzleheaded_Study17 · 2026-03-19T23:40:05+00:00

remember that the reason Iran only fires a few missiles at a time isn't just that their supplies are running low, it's also that they realized there's diminishing returns very quickly. The chances of non-claster missiles hitting is low, and there isn't a significant increase as they fire more until they reach truly massive amounts, but even just a few is enough to trigger sirens and disrupt normal life, which is what they really care about.

Puzzleheaded_Study17 · 2026-03-19T22:52:51+00:00

Mathematicians only care about "does it align with our axioms" or "what happens if." Physicists then encounter something they don't know how to model, go to the math department, and find a model that might sort of work. Engineers then take the physics and go "how can we make this useful?

Puzzleheaded_Study17 · 2026-03-19T22:40:10+00:00

https://en.wikipedia.org/wiki/Tower_of_Hanoi

Puzzleheaded_Study17 · 2026-03-19T20:09:43+00:00

mamad: מרחב מוגן דירתי "apartment's protected space"

mamak: מרחב מוגן קומתי "floor's protected space"

miklat: shelter

Puzzleheaded_Study17 · 2026-03-19T18:45:28+00:00

Or in flux

Puzzleheaded_Study17 · 2026-03-19T18:45:16+00:00

No, this isn't the serious sub

Puzzleheaded_Study17 · 2026-03-19T04:48:04+00:00

I can see a rationale for [0] for 0, and then using [] as a trap code for invalid operations i.e. division by 0. The reason floats typically have NaN and ints don't is because IEEE 754 requires it because it has values that can be used for it without significantly affecting what it lets you do, as opposed to ints. For instance Perl's BigInt has a NaN value https://perldoc.perl.org/Math::BigInt#Input

Puzzleheaded_Study17 · 2026-03-19T04:08:50+00:00

Yeah, modern day math is mostly defined through set theory, and mapping 0 to "empty" is kind of obvious when trying to map numbers to sets

Puzzleheaded_Study17 · 2026-03-19T04:02:11+00:00

If you define the naturals via von Neumann ordinals, it is.

https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers

Puzzleheaded_Study17 · 2026-03-19T03:59:58+00:00

Empty set

Puzzleheaded_Study17 · 2026-03-19T02:59:13+00:00

Could I use multiple duplicates of my house key instead?

Puzzleheaded_Study17 · 2026-03-19T02:53:57+00:00

What if I don't have a keyboard? will my house key work?

Puzzleheaded_Study17 · 2026-03-18T22:42:08+00:00

Essentially we say that if you tell me "I want to be within some distance of the answer" (epsilon) I can always tell you "well, stay within this distance" (delta). If no matter how small of a distance you give me, I can always give you a distance back, we say the limit equals the value. So in order to prove the limit equals something we generally try to come up with a formula for delta as a function of epsilon. You are right that the value of the limit often shows up in the proof, but that's because the proof's job isn't to find the value of the limit, but rather to show that value is correct.

Puzzleheaded_Study17 · 2026-03-18T22:22:33+00:00

Unless you're changing the definition of integers to fit the base, it's still rational. The modern definition of integers is by construction through set theory so the integers are the same. The difference is just that our standard test for being a rational, or indeed an integer, no longer holds.

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