Variational formulation of a partial differential equation by
Ciro Santilli 35 Updated 2025-02-26 +Created 1970-01-01
Used for example in FreeFem and FEniCS Project as the input description of the PDEs, TODO why.
Ciro Santilli finds it interesting that radioactive decay basically kickstarted the domain of nuclear physics by essentially providing a natural particle accelerator from a chunk of radioactive element.
The discovery process was particularly interesting, including Henri Becquerel's luck while observing phosphorescence, and Marie Curie's observation that the uranium ore were more radioactive than pure uranium, and must therefore contain other even more radioactive substances, which lead to the discovery of polonium (half-life 138 days) and radium (half-life 1600 years).
List of Nobel Prizes in Physiology and Medicine by
Ciro Santilli 35 Updated 2025-02-26 +Created 1970-01-01
Linear combination of a Dirichlet boundary condition and Neumann boundary condition at each point of the boundary.
Examples:
- heat equation when metal plaque is immersed in a large external environment of fixed temperature.In this case, the normal derivative at the boundary is proportional to the difference between the temperature of the boundary and the fixed temperature of the external environment.The result as time tends to infinity is that the temperature of the plaque tends to that of the environment.Shown a solved example in the FreeFem tutorial: doc.freefem.org/tutorials/thermalConduction.html (github.com/FreeFem/FreeFem-doc/blob/1d5996d8b891fd553fd318321249c2c30f693fc3/source/tutorials/thermalConduction.rst)
Forms a normal subgroup of the general linear group.
Can represent a symmetric bilinear form as shown at matrix representation of a symmetric bilinear form, or a quadratic form.
Subcase of symmetric multilinear map:
The most important example is the dot product, which is also a positive definite symmetric bilinear form.
Very good metabolism database.
Some things that they have of interest which may not be on NCBI:
Hits a free login wall after a few IP hits. And just a very normal casually browsing number of hits. What is this bullshit?
Their YouTube: www.youtube.com/channel/UCR9QDQ_9_N4isZV_YRQg9tA has some good tutorials.
Was the first model to explain the Balmer series, notably linking atomic spectra to the Planck constant and therefore to other initial quantum mechanical observations.
This was one of the first major models that just said:
I give up, I can't tie this to classical physics in any way, let's just roll with it, OK?
It still treats electrons as little points spinning around the nucleus, but it makes the non-classical postulate that only certain angular momentums (and therefore energies) are allowed.
Bibliography:
- Inward Bound by Abraham Pais (1988) Chapter 9.e Atomic structure and spectral lines - Niels Bohr
- The Quantum Story by Jim Baggott (2011) Chapter 3 A Little Bit of Reality
The channel is also notable for the fact that the author makes his own music.
Behind the Scenes by Sci-Inspi (2020)
Source. His name is Manuael, aka Manu, and he is the chemistry lab technician at a community college.Metric space but where the distance between two distinct points can be zero.
Notable example: Minkowski space.
Maxwell-Boltzmann distribution for three different temperatures
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