Open boundary condition by Ciro Santilli 35 Updated +Created
In the context of wave-like equations, an open-boundary condition is one that "lets the wave go through without reflection".
This condition is very useful when we want to simulate infinite domains with a numerical method. Ciro Santilli wants to do this all the time when trying to come up with demos for his physics writings.
Here are some resources that cover such boundary conditions:
Orthogonal matrix by Ciro Santilli 35 Updated +Created
Bilinear map by Ciro Santilli 35 Updated +Created
Linear map of two variables.
More formally, given 3 vector spaces X, Y, Z over a single field, a bilinear map is a function from:
that is linear on the first two arguments from X and Y, i.e.:
Note that the definition only makes sense if all three vector spaces are over the same field, because linearity can mix up each of them.
The most important example by far is the dot product from , which is more specifically also a symmetric bilinear form.
UniProt by Ciro Santilli 35 Updated +Created
Metabolism by Ciro Santilli 35 Updated +Created
Electronic warfare by Ciro Santilli 35 Updated +Created
Normed vector space by Ciro Santilli 35 Updated +Created
Rolls-Royce by Ciro Santilli 35 Updated +Created
Quantum statistics by Ciro Santilli 35 Updated +Created
Material property by Ciro Santilli 35 Updated +Created
Mathy Magic: The Gathering thoughts by Ciro Santilli 35 Updated +Created
In 2019, a paper proved that MTG is Turing complete with a legacy legal deck. Live demo with some hand waving: Video "I Built a COMPUTER in Magic: The Gathering by Because Science (2019)". As Ciro Santilli comments at: github.com/cirosantilli/cirosantilli.github.io/issues/42 this was an interest addition to the previous "indefinite infinite loop" e.g. as found in a Four Horsemen combo deck
Deepfake by Ciro Santilli 35 Updated +Created
Computer vision by Ciro Santilli 35 Updated +Created
Galaxy in the Local Group by Ciro Santilli 35 Updated +Created
Adjoint operator by Ciro Santilli 35 Updated +Created
Given a linear operator over a space that has a inner product defined, we define the adjoint operator (the symbol is called "dagger") as the unique operator that satisfies:

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