Draw a hypocycloid using a graphical calculator (such as Desmos or Geogebra).
Your hypocycloid should include
t increases the point on the inner circle should trace out the pattern, you can animate the graph using t.Below is the link to a Desmos graph:
Hint
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If you are studying the algorithm, you are doing it wrong
Solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd%20solutions/2024-08-04_extended-euclid.html
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n and m are coprime, show that there exist integer n' such that nn' mod m=1.(I'm too lazy to type out the algorithm again, so look at the image yourself)
Hint:
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Let x mod y = a
Solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd%20solutions/2024-08-01_multiple-of-modulus.html
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z(x mod y) = (zx) mod (zy)Be rigorous
(trust me bro im gonna daily post trust me bro)
EDIT: assume all variables are integers
Hint:
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The size of a set is the number of possible values that an element can take.
I recently started reading TAOCP, in other words you can expect daily posts from me again, because I'll just take some of the cooler questions from there and repost them here.
because I have never heard of this argument before, ever. most media's stance on politics is "their party bad our party good", but the "all the parties are pretty hypocritical" argument has never been explored properly, because its depressing and nobody likes it.
yup thats the intended solution, im not really familiar with taylor series yet, but maybe for a person who knows taylor series would be able to see it right away
Hint
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The solution I have in mind is related to the Taylor series
Hint 2
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It converges to -ln(2), but why
Solution:
i main zathura, but okular is a good one as well
Here's a rly cool solution from stackexchange, which blows my average geometric solution out of the water
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I've shown that ln(n/n-1) is always larger than 1/n, so Σln(n/n-1) for all natural number n will be larger than the series 1+1/2+1/3+...
but I don't know how to make sure the sum of all ln(p/p-1) only when p is prime is larger than the provided series
the question is strongly suggesting its divergent, i just dont know how to show it
i pulled the image from a meme channel, so i dont know if its real or not, but at the same time, this below does look like a legit response
Hint:
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Try out the following tasks before going for the big onea.a, let that be your rotational speed.xaxis) at your rotational speed.You should now have an idea on how to draw a hypocycloid.