Birch and Swinnerton-Dyer conjecture in two minutes by Ciro Santilli Updated 2025-01-10 +Created 1970-01-01
Summary:
- overview of the formula of the BSD conjecture
- definition of elliptic curve
- domain of an elliptic curve. Prerequisite: field
- elliptic curve group. Prerequisite: group
- Mordell's theorem lets us define the rank of an elliptic curve over the rational numbers, which is the . Prerequisite: generating set of a group
- reduction of an elliptic curve from to lets us define as the number of elements of the generated finite group
The paper that states the BSD conjecture.
Likely paywalled at: www.degruyter.com/document/doi/10.1515/crll.1965.218.79/html. One illegal upload at: virtualmath1.stanford.edu/~conrad/BSDseminar/refs/BSDorigin.pdf.
Main implementations: the same as electronic switches: vacuum tubes in the past, and transistors in the second half of the 20th century.
How to make an LM386 audio amplifier circuit by Afrotechmods (2017)
Source. Builds the circuit on a breadboard from minimal components, including one discrete transistor. Then plays music from phone through headset cables into a speaker.The fact that ATP is the universal energy storage mollecule of all life on Earth is such an incredible unifying principle of biology!
It is the direct output of all the major forms of "energy generation" in cells: ATP synthesis mechanism.
It is just as fundamental as the genetic code for example.
No wonder dozens of Nobel Prizes were related to its discovery, given its complexity.
Basically a synonym for central processing unit nowadays: electronics.stackexchange.com/questions/44740/whats-the-difference-between-a-microprocessor-and-a-cpu
The opposite of volatile memory.
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