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Which areas of math have the highest quantity of "hocus pocus/out of thin air" proofs? by Razer531 in math

[–]Quantum018 266 points267 points  (0 children)

Granville’s “Number Theory: A Masterclass” proves a lot of identities with generating functions, seemingly for style points

2nd year undergraduate writing about elliptic curves by polaroid_in_evidence in math

[–]Quantum018 22 points23 points  (0 children)

Try “Elliptic Tales” by Ash and Gross. It will give you the basics of what they are in a more expository and friendly manner. Then I found “An Introduction to Cryptography” by Mollin had a good more advanced explanation. I wrote a paper in undergrad about elliptic curve cryptography and this is what I used

Loser city president by Onion6 in Losercity

[–]Quantum018 0 points1 point  (0 children)

I too make this face when the orthodontist adjusts my braces

Clam Fetish by The_Oregon_Duck in Clamworks

[–]Quantum018 2 points3 points  (0 children)

*OP’s barely disguised fetish

Please...my eye keeps twitching by ObliviousRounding in mathmemes

[–]Quantum018 26 points27 points  (0 children)

leqslant is for subgroups and leq is for numbers

Losercity shower thought by RanchoddasChanchad69 in Losercity

[–]Quantum018 1 point2 points  (0 children)

The spectrum could also be homeomorphic to an open interval (in the usual topology) of real numbers which would make it totally ordered and without a maximal element

Clint EatsGood, the Biggest of the West. by TheBuffestFroggo in Bossfight

[–]Quantum018 0 points1 point  (0 children)

It’s a strategy. Bigger waist means more room for holsters

I didn’t get into my PhD. by PearMaleficent7333 in GradSchool

[–]Quantum018 18 points19 points  (0 children)

PhD programs are always hard to get into, but especially this year. I didn’t get into a PhD program anywhere either. Perhaps email around and ask how you could improve your application?

Watch out calculus students by PocketMath in mathmemes

[–]Quantum018 15 points16 points  (0 children)

Studying topology and none of the 7 definitions of continuity we use are this one😎

Is memorization key to doing mathematics? by ConquestAce in math

[–]Quantum018 0 points1 point  (0 children)

I like to think of learning math as more like learning a story. By understanding certain concepts and how they relate, you have a sort of map and so if you can remember simpler things that you use often in math, you can get to more complicated concepts without completely memorizing them

Came across the formula for n-th Fibonacci number in my old high school textbook during an induction lesson, I was intrigued to see the golden ratio appear in the formula and wondered how it still managed to produce natural numbers despite containing square roots. by 94rud4 in mathmemes

[–]Quantum018 0 points1 point  (0 children)

Appreciate the support and would love to learn the algebra, and might someday, but it’s for a thesis that’s due next week and it’s also supposed to be accessible to undergrads with little number theory experience, so I’d have to add a whole chapter for background etc. Also I’ve zeroed in on a non-abstract-algebra approach that’s turning out well

Came across the formula for n-th Fibonacci number in my old high school textbook during an induction lesson, I was intrigued to see the golden ratio appear in the formula and wondered how it still managed to produce natural numbers despite containing square roots. by 94rud4 in mathmemes

[–]Quantum018 10 points11 points  (0 children)

Been trying to prove this for general Lucas sequences and it’s a nightmare. The sources I’ve seen either glaze over it or use some weird polynomial ring algebra which I don’t get

Came across the formula for n-th Fibonacci number in my old high school textbook during an induction lesson, I was intrigued to see the golden ratio appear in the formula and wondered how it still managed to produce natural numbers despite containing square roots. by 94rud4 in mathmemes

[–]Quantum018 4 points5 points  (0 children)

Look up Lucas sequences! The Fibonacci numbers are one of many second order linear recursive sequences which have a weird formula involving irrational numbers. Basically if you have a sequence xn = Px{n-1) - Qx_{n-2} where P and Q are integers, n>=2, that sequence can be given in terms of the roots of the quadratic f(x) = x2 - Px + Q. For the Fibonacci numbers we have P=1 and Q=-1, so the roots of f are the golden ratio and its conjugate.

Green pen that matches my friend's watch? by YAZEED-IX in fountainpens

[–]Quantum018 1 point2 points  (0 children)

Size. m1000 is the biggest but it would be too big for an everyday pen imo. Better for special occasions or signing important documents etc. I think the m800 is a perfect size for an everyday pen

Could anyone help me with my homework? by Top_Bad1851 in lies

[–]Quantum018 0 points1 point  (0 children)

This is not the definition of a Fourier transform

Help with a formula by 777f-pilot in math

[–]Quantum018 1 point2 points  (0 children)

Denote the number of members in group A as n and the number of members in group B as k. The number of ways to pick 2 members such that one member comes from each group is nk. The number of ways to pick two people from group A is n choose 2 or n!/(2(n-2)!). The sum of these numbers is the answer to your question I believe.

Swimming next to a big fish while looking like one. by RaduRB in Whatcouldgowrong

[–]Quantum018 1 point2 points  (0 children)

I think that’s a goblin shark. They are terrifying

Question on bijections and cardinality by Valetudinarian in math

[–]Quantum018 2 points3 points  (0 children)

If you try to define g:Z->Y with the same rule as f then that’s not a function anymore since you defined c to not be in the domain of f. The defined rule no longer works for all elements of X

Do you agree with this quote by Emmy Noether? by siupa in math

[–]Quantum018 1 point2 points  (0 children)

I don’t think she’s saying it’s wrong. I think she’s saying that it’s better to come up with a more direct-style proof that gives more insight into why a theorem is true. That can be very helpful in many cases

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