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srean
searching PlanetScale…
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9 ms
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151.
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by
srean
2mo ago
If only they can wope in Johnathan Ross. Liked his interview of Womesh Wanganathan.
152.
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srean
2mo ago
Ooh! that overflow is so clever. I would have been proud to have thought of that. Perfect fit for modular arithmetic.
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srean
2mo ago
Thanks for the push. I was being lazy on my mobile phone. Note to readers who maybe confused by the parent comment. I was using \pi and \tau. I just noticed now that my default mobile keyboard has π.
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srean
2mo ago
One would reap the most benefit if libraries were compiled late for the compiler to optimize away adjacent conversions and back. With C++ template libraries one can do that but compile times can become a hell.
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srean
2mo ago
> I’ve been writing code for 46 years. Not once have I had to code a derivative. Haha ! I have been coding for much shorter time but having done some ML on orientations and on spheres in my time, I have had to take their derivatives all
156.
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srean
2mo ago
Let's do a full circle. It all began with replacing frequent occurrence of 2π in calls of sin and cos functions with τ. This post suggests an optimisation by getting rid of τ by getting rid of radians. That way one can get rid of freq
157.
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srean
2mo ago
Absolutely ! I remember things the best (only) when I discover them for myself. Slow progress but high retention.
158.
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srean
2mo ago
You might find the following interesting. It is about trigonometry as practiced by early Indian mathematicians. Rather than using an unit circle they used a circle of 3438 units. https://news.ycombinator.com/item?id=45129081
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srean
2mo ago
> If you don't do it correctly, it was possible to break your arm. Yup if you did not anticipate correctly where the spark plug would fire.
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srean
2mo ago
Yeah. @ttoinou too, I think, had the same thing in mind. https://news.ycombinator.com/item?id=49371421
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srean
2mo ago
Not bad at all, just equivalent.
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srean
2mo ago
If only the periods of the annual motion of the sun, the periodicity of the phases of the Moon and the unit of day were not mutually prime. If only they were in resonance.
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srean
2mo ago
Ensuring units agree is indeed a form of type checking. A more thorough procedure for the former is dimensional analysis. I think the fact that action and angular momentum have the same units played an illuminating role in making sense in B
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srean
2mo ago
Rather than sin(), cos() and motion on a circle it is fun to consider uniform speed motion along the perimeter of a regular polygon and its projection hor() and ver() along horizontal and vertical directions. You can parameterized the
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srean
2mo ago
> Radians really are the natural unit for trigonometry. s/trigonometry/calculus
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srean
2mo ago
That's because a^b = exp (b ln a) That's equivalent to saying, no need for -1 because we have exp. One can change based of the exponentiation operation. Exp happens to be a convenient base.
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srean
2mo ago
It is dimensionless by fiat and convention. It clearly has units such as degrees, grad and radians. Just like other quantities that have units, a specific measurement is expressed as a pure numerical multiple of an unit which may be radia
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srean
2mo ago
Had to think for a moment to understand the "Tokyo enters the dark night" shot. Very beautiful and very clever. Loved it.
169.
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srean
2mo ago
LoL that's my wife exactly. Her spatial memory is scary good. She can give turn by turn directions for a place she visited just once 2 years ago. Best wishes for you two.
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srean
2mo ago
Oh nice. I hadn't seen this one before. My favourite has been John Baez's post, especially the discussion in the comments.
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Triple Product Rule of Partial Derivatives
(en.wikipedia.org)
13 points
by
srean
2mo ago
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2 comments
172.
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srean
2mo ago
Thanks.
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srean
2mo ago
Thanks, image search is a good idea. Why did I not think of that. It was probably Silvanus' classic. I can't seem to find a picture of the cover from that age. I think for us our first exposure was through the notion of instantane
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srean
2mo ago
Note that for a particle there is no discrepancy.
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srean
2mo ago
Got you.
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srean
2mo ago
> Most studies show that students DO NOT RETAIN limit concepts Is that so ? I would not have guessed. I am not being sarcastic. Going by experiences of my own high school cohort I would have claimed that limits had a more lasting impress
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srean
2mo ago
I think you are saying something interesting. Could you elaborate a little though because I am not quite getting you yet hooked to understand what you are saying.
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srean
2mo ago
One in the White House ? Coming out stronger, that is. No reset. A more serious example https://en.wikipedia.org/wiki/Bobby_Cummines
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srean
2mo ago
If anything can instill a fear of god in me, that would be magnetars.
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Double limits (in Calculus) Understood Visually [pdf]
(projecteuclid.org)
1 points
by
srean
2mo ago
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