If your kids are about to starve, fine, do it.
But otherwise, Ciro Santilli will not, ever, spend his time drilling programmer competition problems to join a company, life is too short for that.
Life is too short for that. Companies must either notice that you can make amazing open source software projects or contributions, and hire you for that, or they must fuck off.
Companies must either notice that you can make amazing projects or contributions, and hire you for that, or they must fuck off.
This is a good book. It is rather short, very direct, which is a good thing. At some points it is slightly too direct, but to a large extent it gets it right.
The main goal of the book is to basically to build the Standard Model Lagrangian from only initial symmetry considerations, notably the Poincaré group + internal symmetries.
The book doesn't really show how to extract numbers from that Lagrangian, but perhaps that can be pardoned, do one thing and do it well.
Steel by Ciro Santilli 37 Updated 2025-07-16
A phase of Fe-C characterized by the low ammount of carbon.
Lie algebra of by Ciro Santilli 37 Updated 2025-07-16
For every matrix in the set of all n-by-y square matrices , has inverse .
Note that this works even if is not invertible, and therefore not in !
Therefore, the Lie algebra of is the entire .
Poincaré group by Ciro Santilli 37 Updated 2025-07-16
In simple and concrete terms. Suppose you observe N particles following different trajectories in Spacetime.
There are two observers traveling at constant speed relative to each other, and so they see different trajectories for those particles:
Note that the first two types of transformation are exactly the non-relativistic Galilean transformations.
The Poincare group is the set of all matrices such that such a relationship like this exists between two frames of reference.
Water by Ciro Santilli 37 Updated 2025-07-16
"Water" is the name for both:
Figure 2.
Ball-and-stick model of a water molecule
. Source.
Figure 3.
Simplified phase diagram of water
. Source. Note the triple point and critical point visible. Phase diagrams are so cool!
Figure 4.
Phase diagram of water
. Source. Note all the obscure phases of ice.
Liquid helium by Ciro Santilli 37 Updated 2025-07-16
4 K. Enough for to make "low temperature superconductors" like regular metals superconducting, e.g. the superconducting temperature of aluminum if 1.2 K.
Contrast with liquid nitrogen, which is much cheaper but only goes to 77K.
LMMS by Ciro Santilli 37 Updated 2025-07-16
Very easy to use and pretty powerful MIDI creator!!!
One of the rare audio applications actually works with PulseAudio on Ubuntu 20.04 out-of-the-box, so you don't have to turn off every other audio application!!!
Has lot's of plugins built-in just working out of the box, e.g. ZynAddSubFX out-of-the-box without doing a gazillion complex setup connections.
Most plugins are just simple toys however, ZynAddSubFX is the only super powerful one. The others are more LMMS integrate however, and seem to use a more dedicated LMMS GUI style.
If you open vmpk, you can then right click on a piano track, and go MIDI, Input and it just shows up there, and it does produce sound as shown at: www.youtube.com/watch?v=NpeP2th08ak
TODO: what about recording the input MIDI? Yes, there is a record button on the piano roll!
So simple!! You can either:
A handle cancels out a Möbius strip, so adding one of each does not lead to a new object.
You can glue a Mobius strip into a single hole in dimension larger than 3! And it gives you a Klein bottle!
Intuitively speaking, they can be sees as the smooth surfaces in N-dimensional space (called an embedding), such that deforming them is allowed. 4-dimensions is enough to embed cover all the cases: 3 is not enough because of the Klein bottle and family.
Samurai cinema by Ciro Santilli 37 Updated 2025-07-16
Chanbara (チャンバラ).
Those movies are "all the same". A quasi lone superhuman samurai with a good inside but painful problems helping out random people, mostly villagers in trouble and bitches in debt.

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