The wave equation can be seen as infinitely many infinitesimal coupled oscillators by
Ciro Santilli 37 Updated 2025-06-02 +Created 1970-01-01
TODO confirm, see also: coupled oscillators. And then this idea can be used to define/motivate quantum field theory in terms of quantum harmonic oscillators with second quantization.
- youtu.be/SMmFgIEGYtw?t=324 Quantum Field Theory 2a - Field Quantization I by ViaScience (2018)
In informal contexts, it usually refers to the phase of ice observed in atmospheric pressure, Ice Ih.
Note that the vector product does not have to be neither associative nor commutative.
Examples: en.wikipedia.org/w/index.php?title=Algebra_over_a_field&oldid=1035146107#Motivating_examples
- complex numbers, i.e. with complex number multiplication
- with the cross product
- quaternions, i.e. with the quaternion multiplication
Located in Tennessee in the East of the United States.
The precursor organization to ORNL was called Clinton Engineer Works, where groundbreaking Manhattan Project experiments and nuclear production took place during World War II
Some key experiments carried out there include:
- 1943: X-10 Graphite Reactor: prototype Plutonium breeder reactor
- isotope separation to purify Uranium-235:
Most notable example: gallium arsenide, see also: gallium arsenide vs silicon.
An important class of semiconductors, e.g. there is a dedicated III-V lab at: École Polytechnique: www.3-5lab.fr/contactus.php
Transpose of a matrix multiplication by
Ciro Santilli 37 Updated 2025-06-02 +Created 1970-01-01
When it distributes it inverts the order of the matrix multiplication:
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Adds up chemical energy and kinetic energy.
The sum is of interest when thinking about reactions because chemical reactions can change the number of molecules involved, and therefore the pressure.
To predict if a reaction is spontaneous or not, negative enthalpy is not enough, we must also consider entropy via Gibbs free energy.
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