This construction takes as input:and it produces an elliptic curve over a finite field of order as output.
The constructions is used in the Birch and Swinnerton-Dyer conjecture.
To do it, we just convert the coefficients and from the Equation "Definition of the elliptic curves" from rational numbers to elements of the finite field.
For example, suppose we have and we are using .
For the denominator , we just use the multiplicative inverse, e.g. supposing we have
where because , related: math.stackexchange.com/questions/1204034/elliptic-curve-reduction-modulo-p
Relativistic quantum mechanics Updated 2025-07-16
The first really good quantum mechanics theory made compatible with special relativity was the Dirac equation.
TODO: does it use full blown QED, or just something intermediate?
Relativity Updated 2025-07-16
LinkedIn Updated 2025-07-16
LinkedIn fully complies with censorship imposed locally by the Chinese government, and does so in a non-transparent way: cirosantilli.com/china-dictatorship/linkedin.
It is hard to understand what the point of that website is, as it is basically just a more closed version of Facebook, but alas, it has flourished as the only place where people post more useful content compared to Twitter and Facebook. In any case, Ciro just applies the same unfollow policy to all of them: aggressively filter your social media follows.
Religion Updated 2025-07-16
His father always told him a story about how when Ciro was small, someone raised the question of the existence of God, to which Ciro replied very directly and naturally, without any doubts:
That doesn't exist.
It's a genetic thing it seems.
2D game Updated 2025-10-14
Vietnam Updated 2025-07-16
GNU go Updated 2025-07-16
Graviton Updated 2025-07-16
Reading frame Updated 2025-07-16
There are six, three in each sense, depending on where you start modulo-3.
Replication crisis Updated 2025-07-16
Of course, if academic journals require greater reproducibility for publication, then the cost per paper increases.
However, the total cost has to be smaller than the cost everyone who reads the paper spends to reproduce, no?
The truth is, part of the replication crisis is also due to research groups not wanting to share their precious secrets with others, so they can keep ahead of the publication curve, or maybe spin off a startup.
And when it comes to papers, things are even crazier: big companies manage to publish white papers in peer reviewed journals.
Ciro Santilli wants to help in this area with his videos of all key physics experiments project idea.
Cool initiative. Papers that do not share source code should be banned from peer reviewed academic journals.

There are unlisted articles, also show them or only show them.