Ciro Santilli @cirosantilli 37

Theorized for the graviton.

Symmetric-key algorithm is al algorithm implementing symmetric encryption.

If you have a PDE that models physical phenomena, it is fundamental that:

Unlike for ordinary differential equations which have the Picard–Lindelöf theorem, the existence and uniqueness of solution is not well solved for PDEs.

For example, Navier-Stokes existence and smoothness was one of the Millennium Prize Problems.

store.nanoporetech.com/ligation-sequencing-kit.html (archive)

Repairs the ends of DNA, and also attaches an adapter protein to the DNA that makes them go through the pores of e.g. an Oxford Nanopore MinION.

A pair of Austrailan deep learning training provider/consuntants that have produced a lot of good free learning materials:Authors:

The transpose and matrix inverse commute:

Was a direct tech predecessor to the iPhone.

Elliptic curve point addition is the group operation of an elliptic curve group, i.e. it is a function that takes two points of an elliptic curve as input, and returns a third point of the elliptic curve as its output, while obeying the group axioms.

The operation is defined e.g. at en.wikipedia.org/w/index.php?title=Elliptic_curve_point_multiplication&oldid=1168754060#Point_operations. For example, consider the most common case for two different points different. If the two points are given in coordinates:then the addition is defined in the general case as:with some slightly different definitions for point doubling $P+P$ and the identity point.

This definition relies only on operations that we know how to do on arbitrary fields:and it therefore works for elliptic curves defined over any field.

Just remember that:means:and that $y^{-1}$ always exists because it is the inverse element, which is guaranteed to exist for multiplication due to the group axioms it obeys.

The group function is usually called elliptic curve point addition, and repeated addition as done for DHKE is called elliptic curve point multiplication.

Polynomial time for most inputs, but not for some very rare ones. TODO can they be determined?

But it is better in practice than the AKS primality test, which is always polynomial time.