Irreducible polynomial Updated 2025-07-16
Isidor Isaac Rabi Updated 2025-07-16
He was a leading figure at the MIT Radiation Laboratory, and later he was head at the Columbia University laboratory that carried out the crucial Lamb-Retherford experiment and the anomalous magnetic dipole moment of the electron published at The Magnetic Moment of the Electron by Kusch and Foley (1948) using related techniques.
Topology in condensed matter Updated 2025-07-16
Previously on EdX: www.edx.org/learn/quantum-physics-mechanics/delft-university-of-technology-topology-in-condensed-matter-tying-quantum-knots "DelftX: Topology in Condensed Matter: Tying Quantum Knots".
But then they regained their sanity and put the source code on GitHub: github.com/topocm/topocm_content and is CC BY-SA.
Toronto faces dataset Updated 2025-07-16
TODO where to find it: www.kaggle.com/general/50987
ISO SQL TRIGGER syntax Updated 2025-07-16
PostgreSQL requires you to define a SQL stored procedure: stackoverflow.com/questions/28149494/is-it-possible-to-create-trigger-without-execute-procedure-in-postgresql Their syntax may be standard compliant, not sure about the
EXECUTE
part. Their docs: www.postgresql.org/docs/current/sql-createtrigger.htmlSQLite does not support SQL stored procedures at all, so maybe that's why they can't be standard compliant here: stackoverflow.com/questions/3335162/creating-stored-procedure-in-sqlite
SQL:1999 11.38 covers "Trigger definition". The Abstract syntax tree starts with the
CREATE TRIGGER
and ends in:<triggered SQL statement> ::=
<SQL procedure statement>
This is defined at 13.5 "SQL procedure statement", but that is humongous and I'm not sure what it is at all.
Raspberry Pi Foundation project Updated 2025-07-16
Jacquard machine Updated 2025-07-16
List of Nobel Prizes Updated 2025-07-16
Mordell's theorem Updated 2025-07-16
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.
Multilinear form Updated 2025-07-16
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. .
Transcendental number conjecture Updated 2025-07-16
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:
- www.quantamagazine.org/recounting-the-history-of-maths-transcendental-numbers-20230627/ How Math Achieved Transcendence by David S. Richeson (2023).
Even permutation Updated 2025-07-16
Ladner's Theorem Updated 2025-07-16
How to use an Oxford Nanopore MinION to extract DNA from river water and determine which bacteria live in it External links to this page Updated 2025-07-16
- 2021-03-25: Oxford Nanopore Technologies retweeted this article, that's awesome!
- 2021: hackaday.com/author/wd5gnr1/ "SEQUENCING DNA FOR METAGENOMICS" by Al Williams (2021). This came after Ciro Santilli self promoted at: stackoverflow.blog/2021/02/03/sequencing-your-dna-with-a-usb-dongle-and-open-source-code/#comment-1411921
Phasecraft Updated 2025-07-16
Funding:
SQL TRIGGER in Sequelize Updated 2025-07-16
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
Transcription (biology) Updated 2025-07-16
Transduction (genetics) Updated 2025-07-16
Josephson current Updated 2025-07-16
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.
Noether's theorem Updated 2025-07-16
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.
The most beautiful idea in physics - Noether's Theorem by Looking Glass Universe (2015)
Source. One sentence stands out: the generated quantities are called the generators of the transforms.The Biggest Ideas in the Universe | 15. Gauge Theory by Sean Carroll (2020)
Source. This attempts a one hour hand wave explanation of it. It is a noble attempt and gives some key ideas, but it falls a bit short of Ciro's desires (as would anything that fit into one hour?)The Symmetries of the universe by ScienceClic English (2021)
Source. youtu.be/hF_uHfSoOGA?t=144 explains intuitively why symmetry implies consevation! Unlisted articles are being shown, click here to show only listed articles.