Polytechnic Institute of Paris Updated 2025-07-16
Penalty kick left right Nash equilibrium Updated 2025-07-16
And before he kicks, the goalkeeper must also decide left or right, because there is no time to see where the ball is going.
Because the kicker is right footed however, he kicker kicks better to one side than the other. So we have four probabilities:
- goal kick left keeper jumps left
- goal kick right keeper jumps right
- goal kick left keeper jumps right. Note that it is possible that this won't be a goal, even though the keeper is nowhere near the ball, as the ball might just miss the goal by a bit.
- kick right and keeper jumps left. Analogous to above
PC game Updated 2025-07-16
Paulo Freire Updated 2025-07-16
en.wikipedia.org/wiki/Paulo_Freire:OMG so nice.
During his childhood and adolescence, Freire ended up four grades behind, and his social life revolved around playing pick-up football with other poor children, from whom he claims to have learned a great deal. These experiences would shape his concerns for the poor and would help to construct his particular educational viewpoint. Freire stated that poverty and hunger severely affected his ability to learn. These experiences influenced his decision to dedicate his life to improving the lives of the poor: "I didn't understand anything because of my hunger. I wasn't dumb. It wasn't lack of interest. My social condition didn't allow me to have an education. Experience showed me once again the relationship between social class and knowledge"
Pauli-X gate Updated 2025-07-16
The quantum NOT gate swaps the state of and , i.e. it maps:As a result, this gate also inverts the probability of measuring 0 or 1, e.g.
- if the old probability of 0 was 0, then it becomes 1
- if the old probability of 0 was 0.2, then it becomes 0.8
Paul Allen Updated 2025-07-16
Particle creation and annihilation Updated 2025-07-16
Predicted by the Dirac equation.
We've likely known since forever that photons are created: just turn on a light and see gazillion of them come out!
Photon creation is easy because photons are massless, so there is not minimum energy to create them.
The creation of other particles is much rarer however, and took longer to be discovered, one notable milestone being the discovery of the positron.
Partial index partial derivative notation Updated 2025-07-16
This notation is not so common in basic mathematics, but it is so incredibly convenient, especially with Einstein notation as shown at Section "Einstein notation for partial derivatives":
This notation is similar to partial label partial derivative notation, but it uses indices instead of labels such as , , etc.
Quantum matrix multiplication Updated 2025-07-16
Analytical chemistry Updated 2025-07-16
Analytic continuation Updated 2025-07-16
visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) is a good quick visual non-mathematical introduction is to it.
The key question is: how can this continuation be unique since we are defining the function outside of its original domain?
The answer is: due to the identity theorem.
Chinese male ideal Updated 2025-07-16
Lysozyme Updated 2025-07-16
The second protein to have its structure determined, after myoglobin, by X-ray crystallography, in 1965.
Breaks up peptidoglycan present in the bacterial cell wall, which is thicker in Gram-positive bacteria, which is what this enzyme seems to target.
Part of the inate immune system.
Public Domain Day Updated 2025-07-16
Python implementation Updated 2025-10-18
Python library Updated 2025-07-16
COVID-19 Updated 2025-07-16
COVID happens in two stages:
- viral infection
- inflammatory phase, where the body takes over, and sometimes harms itself. It seems that people are not generally contagious at this point?
Synopsys Updated 2025-07-16
C (programming language) Updated 2025-07-16
It is interesting to note how late C appeared: 1972, compared e.g. to Fortran which is from 1957. This is basically because C was a "systems programming language", i.e. with focus on pointer manipulation, and because early computers were so weak, there was no operating system or many software layers in the early days. Fortran however was a numerical language, and it ran directly on bare metal, an application that existed before systems programming.
Examples under c.
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