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chomping at the bit
Actually it was originally "champing" – to grind or gnash teeth. The "chomping" (to bite) alternative cropped up more recently as people misheard and misunderstood, but it's generally accepted as an alternative now.
I clicked hoping this would be about how old graphing calculators are generally better math companions than a phone. The best way to do math on my phone I know of is the HP Prime emulator.
My personal favorite is iHP48 (previously I used m48+ before it died) running an HP 48GX with metakernal installed as I used through college. Still just so intuitive and fast to me.
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> What's moon plus sun? Eclipse, obviously.
Not obvious. Astronomers are actively looking for signatures of exomoons around exoplanets. So "sun plus moon" could mean that too.
I clicked hoping this would be about how old graphing calculators are generally better math companions than a phone. The best way to do math on my phone I know of is the HP Prime emulator.
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> What's moon plus sun? Eclipse, obviously.
That’s sun minus moon. Moon plus sun is a wildly more massive, nuclear furnace of a moon that also engulfs the earth.
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Actually it was originally "champing" – to grind or gnash teeth. The "chomping" (to bite) alternative cropped up more recently as people misheard and misunderstood, but it's generally accepted as an alternative now.
It’s actually accepted as the primary now and telling people about “champing” is just seen as archaic.
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That’s sun minus moon. Moon plus sun is a wildly more massive, nuclear furnace of a moon that also engulfs the earth.
This thread reminds me of Scribblenauts, the game where you conjure objects to solve puzzles by describing them. I suspect it was an inspiration for Baba Is You.
Methodology is one thing; I can't really agree that deploying an LLM to do sums is great. Almost as hilarious as asking "What's moon plus sun?" But phenomenon is another thing. Apple's numerical APIs are producing inconsistent results on a minority of devices. This is something worth Apple's attention.
(This is a total digression, so apologies) My mind instantly answered that with "bright", which is what you get when you combine the sun and moon radicals to make 明( https://en.wiktionary.org/wiki/%E6%98%8E ) Anyway, that question is not without reasonable answers. "Full Moon" might make sense too. No obvious deterministic answer, though, naturally.
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NaNs are distinguishable. /Which/ NaN you get doesn't commute.
I guess at the bit level, but not at the level of computation? Anything that relies on bit patterns of nans behaving in a certain way (like how they propagate) is in dangerous territory.
Why? This is well specified by IEEE 754. Many runtimes (e.g. for Javascript) use NaN boxing. Treating floats as a semi-arbitrary selection of rational numbers plus a handful of special values is /more/ correct than treating them as real numbers, but treating them as actually specified does give more flexibility and power.