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...

Semilinear or semi-linear (literally, "half linear") may refer to: Antilinear map, also called a "semilinear map" Semilinear order Semilinear map Semilinear...

the desired map. The composite of two antilinear maps is a linear map. The class of semilinear maps generalizes the class of antilinear maps. The vector...

property of some substances to exist in two distinct crystalline forms Semilinear map, a homomorphism between modules, paired with the associated homomorphism...

map α : D(V) → D(W), such that: The zero subspace of V is mapped to the zero subspace of W. V is mapped to W. There is a nonsingular semilinear map β...

projective semilinear group PΓL(n, F) (which contains PGL(n, F)) is the collineation group of projective space, for n > 2, and thus semilinear maps are of...

multiplicative scaling behaviour Minkowski functional – Function made from a set Semilinear map – homomorphism between modules, paired with the associated homomorphism...

By the Fundamental theorem of projective geometry θ is induced by a semilinear map T: V → V∗ with associated isomorphism σ: K → Ko, which can be viewed...

projective spaces induced by a semilinear map produces a correlation of P(V) to itself. In this way, every nondegenerate semilinear map V → V∗ induces a correlation...

complex conjugate of s {\displaystyle s} . But more generally, as with semilinear maps for example, s ¯ {\displaystyle {\overline {s}}} could be the image...

space (TVS). A function f : H → C {\displaystyle \mathbb {C} } is called semilinear or antilinear if for all x, y ∈ H and all scalars c , Additive: f (x +...

a sesquilinear form allows one of the arguments to be "twisted" in a semilinear manner, thus the name; which originates from the Latin numerical prefix...

problems, double-phase problems), qualitative analysis of solutions of semilinear and quasilinear PDEs (Dirichlet, Neumann, Robin boundary conditions),...

the Wadge lemma holds for sets in Γ is the semilinear ordering principle for Γ or SLO(Γ). Any semilinear order defines a linear order on the equivalence...

applications include existence results for periodic solutions of some semilinear wave equations.[BN78a][BN78b] In John Nash's work on the isometric embedding...

crystal is a crystal with Verschiebung and Frobenius maps. An F-crystal is a structure in semilinear algebra somewhat related to crystals. The infinitesimal...

involution bar that maps q1/2 to q−1/2 and acts as identity on Z. Then H admits a unique ring automorphism i that is semilinear with respect to the bar...

on these points. For n ≥ 3, the collineation group is the projective semilinear group, PΓL – this is PGL, twisted by field automorphisms; formally, PΓL...

a+\mu b)=\lambda \tau (a)+\mu \tau (b)} for a, b in M+ and λ, μ ≥ 0 (semilinearity); τ ( u a u ∗ ) = τ ( a ) {\displaystyle \tau \left(uau^{*}\right)=\tau...

direction of rotation are replaced by their "mirror image"). The group of semilinear transformations on a vector space V over a field K {\displaystyle \mathbb...

is isomorphic to PSL2(9), whose automorphism group is the projective semilinear group PΓL2(9), in which PSL2(9) is of index 4, yielding an outer automorphism...

S2CID 42023620. Schmidhuber, Jürgen; Eldracher, Martin; Foltin, Bernhard (1996). "Semilinear predictability minimzation produces well-known feature detectors". Neural...

Fourier series. Application to numerical integration of Itô SDEs and semilinear SPDEs. Differ. Uravn. Protsesy Upr., no. 1. DOI: https://doi.org/10.21638/11701/spbu35...

Jalal; Struwe, Michael (1994). "Well-posedness in the energy space for semilinear wave equations with critical growth". International Mathematics Research...

Yoshikazu Giga and Robert V. Kohn. Asymptotically self-similar blow-up of semilinear heat equations. Comm. Pure Appl. Math. 38 (1985), no. 3, 297–319. Yoshikazu...

certain iterative algorithms to fixed points of a given nonexpansive self-map of a closed convex subset of Hilbert space.[L77] In collaboration with his...

—— (1982). "A Priori Estimates and Existence of Positive Solutions of Semilinear Elliptic Equations". In: Costa D. (ed.) Djairo G. de Figueiredo - Selected...

PGL(3,4) can therefore be extended to the group PΓL(3,4) of projective semilinear transformations, which is a split extension of M21 by the symmetric group...