Semilinear or semi-linear (literally, "half
linear
In mathematics, the term ''linear'' is used in two distinct senses for two different properties:
* linearity of a '' function'' (or '' mapping'');
* linearity of a '' polynomial''.
An example of a linear function is the function defined by f(x) ...
") may refer to:
Mathematics
*
Antilinear map
In mathematics, a function f : V \to W between two complex vector spaces is said to be antilinear or conjugate-linear if
\begin
f(x + y) &= f(x) + f(y) && \qquad \text \\
f(s x) &= \overline f(x) && \qquad \text \\
\end
hold for all vectors x, y ...
, also called a "semilinear map"
*
Semilinear order Semilinear or semi-linear (literally, "half linear") may refer to:
Mathematics
* Antilinear map, also called a "semilinear map"
* Semilinear order
* Semilinear map
* Semilinear set
* Semilinearity (operator theory)
* Semilinear equation, a typ ...
*
Semilinear map In linear algebra, particularly projective geometry, a semilinear map between vector spaces ''V'' and ''W'' over a field ''K'' is a function that is a linear map "up to a twist", hence ''semi''-linear, where "twist" means " field automorphism of ''K ...
*
Semilinear set
In mathematics, a generalized arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas an arithmetic progression is generated by a single c ...
*
Semilinearity (operator theory)
In mathematics, a commutation theorem for traces explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace.
The first such result was proved by Francis Joseph Murray and John von N ...
* Semilinear equation, a type of
differential equation which is linear in the highest order derivative(s) of the unknown function
* Various forms of "mild"
nonlinearity
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathe ...
are referred to as "semilinear"
Other
*
Semilinear response
Semi-linear response theory (SLRT) is an extension of linear response theory (LRT) for mesoscopic circumstances: LRT applies if the driven transitions are much weaker/slower than the environmental relaxation/dephasing effect, while SLRT assumes ...
, physics
*
Artificial neuron
An artificial neuron is a mathematical function conceived as a model of a biological neuron in a neural network. The artificial neuron is the elementary unit of an ''artificial neural network''.
The design of the artificial neuron was inspired ...
, also called a "semi-linear unit"
*
Semi-linear resolution
CARINE (Computer Aided Reasoning Engine) is a first-order classical logic automated theorem prover. It was initially built for the study of the enhancement effects of the strategies delayed clause-construction (DCC) and attribute sequences (ATS) ...
* A mixture of linear and
nonlinear gameplay
A video game with nonlinear gameplay presents players with challenges that can be completed in a number of different sequences. Each may take on (or even encounter) only some of the challenges possible, and the same challenges may be played in a ...
in video games may be referred to as "semi-linear gameplay"
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