Of all the rich person foundations, this is the one that feels the most hardcore.
They put huge focus on autism. Do they have an autistic child? Yes: www.forbes.com/pictures/eilm45mll/james-simons-autism/?sh=7825234250ce his daughter.
- techcrunch.com/2022/05/31/ultima-genomics-claims-100-full-genome-sequencing-after-stealth-600m-raise/ Ultima genomics TODO technology? Promises 100 USD genome, 600M funding out of stealth...
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.
- youtu.be/tR6UebCvFqE?t=23 particle at rest
- youtu.be/tR6UebCvFqE?t=322 unidirectional movement without a potential
- youtu.be/tR6UebCvFqE?t=507 shows that observers in different frames of reference also see different spin. We are reminded of how magnetism is just a side effect of special-relativity.
- youtu.be/tR6UebCvFqE?t=549 Dirac equation solution for the hydrogen atom, final result only + mentions fine structure prediction.
This is the order in which a binary search tree should be traversed for ordered output, i.e.:
- everything to the left is smaller than parent
- everything to the right is larger than parent
This ordering makes sense for binary trees and not k-ary trees in general because if there are more than two nodes it is not clear what the top node should go in the middle of.
This is unlike pre-order depth-first search and post-order depth-first search which generalize obviously to general trees.
Taylor expansion definition of the exponential function by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
The Taylor series expansion is the most direct definition of the expontial as it obviously satisfies the exponential function differential equation:
Note that this is a specific application of de novo DNA synthesis, e.g. polymerase chain reaction primers is another major application that does not imply creating genes.
Sometimes you are really certain that something is a required substep for another thing that is coming right afterwards.
When things are this concrete, fine, just do the substep.
But you have to always beware of cases where "I'm sure this will be needed at some unspecified point in the future", because such points tends to never happen.
YAGNI is so fundamental, there are several closely related concepts to it:
Sometimes you can debug software by staring at the code for long enough by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
A senior developer came over, and rather than trying to run and modify the code like an idiot, which is what Ciro Santilli usually does (see also experimentalism remarks at Section "Ciro Santilli's bad old event memory"), he just stared at the code for about 10 minutes.
We knew that the problem was likely in a particular function, but it was really hard to see why things were going wrong.
After the 10 minutes of examining every line in minute detail, he said:and truly, that was the cause.
I think this function call has such or such weird edge case
And so, Ciro was enlightened.
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