Ciro Santilli @cirosantilli 37

The elliptic curve group of all elliptic curve over the rational numbers is always a finitely generated group.

The number of points may be either finite or infinite. But when infinite, it is still a finitely generated group.

For this reason, the rank of an elliptic curve over the rational numbers is always defined.

TODO example.

See form.

Analogous to a linear form, a multilinear form is a Multilinear map where the image is the underlying field of the vector space, e.g. ${\mathbb{R}}^{n_1}\times {\mathbb{R}}^{n_2}\times {\mathbb{R}}^{n_2}\to \mathbb{R}$.

There's a billion simple looking expressions which are not known to be transcendental numbers or not. It's cute simple to state but hard to prove at its best.

Open as of 2020:

Bibliography:

The co-founder's name, Toby Cubitt, is the mos awesome thing ever (Cubitt -> qubit). From UCL.

Funding:

Example: nodejs/sequelize/trigger_count.js

There is of course no built-in support for SQL TRIGGERs in Sequelize, but we can add our own: stackoverflow.com/questions/29716346/how-to-create-a-trigger-in-sequelize-nodejs/76215728#76215728

Maximum current that can flow across a Josephson junction, as can be directly seen from the Josephson equations.

Is a fixed characteristic value of the physical construction of the junction.

For every continuous symmetry in the system (Lie group), there is a corresponding conservation law.

Furthermore, given the symmetry, we can calculate the derived conservation law, and vice versa.

As mentioned at buzzard.ups.edu/courses/2017spring/projects/schumann-lie-group-ups-434-2017.pdf, what the symmetry (Lie group) acts on (obviously?!) are the Lagrangian generalized coordinates. And from that, we immediately guess that manifolds are going to be important, because the generalized variables of the Lagrangian can trivially be Non-Euclidean geometry, e.g. the pendulum lives on an infinite cylinder.

64 bits is still too much address for current RAM sizes, so most architectures will use less bits.

x86_64 uses 48 bits (256 TiB), and legacy mode's PAE already allows 52-bit addresses (4 PiB). 56-bits is a likely future candidate.

12 of those 48 bits are already reserved for the offset, which leaves 36 bits.

If a 2 level approach is taken, the best split would be two 18 bit levels.

But that would mean that the page directory would have 2^18 = 256K entries, which would take too much RAM: close to a single-level paging for 32 bit architectures!

Therefore, 64 bit architectures create even further page levels, commonly 3 or 4.

x86_64 uses 4 levels in a 9 | 9 | 9 | 9 scheme, so that the upper level only takes up only 2^9 higher level entries.

The 48 bits are split equally into two disjoint parts:

A 5-level scheme is emerging in 2016: software.intel.com/sites/default/files/managed/2b/80/5-level_paging_white_paper.pdf which allows 52-bit addresses with 4k pagetables.

Ross Ulbricht told her about Silk Road, but then later said he had sold the website to someone else, without really doing that.

As of 2023, she's apparently a photographer with a porny focus (boudoir photography).

Some sources:

Matches the quantum superposition probability proportional to the square law. Poor Étienne-Louis Malus, who died so much before this was found.

At least they have a fucking clear course schedule unlike the undergrad.

Hello world: stackoverflow.com/questions/16829351/is-there-a-hello-world-example-for-sparql-with-rdflib

Have a look at some interesting examples under nodejs/sequelize/raw/many_to_many.js.