their model. This article deals primarily with the quantization of the non-linear sigma model; please refer to the base article on the sigma model for general...

"non-linear sigma model". The name has roots in particle physics, where a sigma model describes the interactions of pions. Unfortunately, the "sigma meson"...

stable field configuration of a certain class of non-linear sigma models. It was originally proposed as a model of the nucleon by (and named after) Tony Skyrme...

solutions of O(3) Non-linear Sigma Model, (Wiegmann 1985), Wess–Zumino–Witten model (together with Alexander Polyakov), Anderson impurity model and multi-channel...

Scalar, spinor and gauge Standard Model Chiral model Non-linear sigma model Wess–Zumino–Witten model Wess–Zumino model Supersymmetric Yang–Mills 4D N =...

Non-linear least squares is the form of least squares analysis used to fit a set of m observations with a model that is non-linear in n unknown parameters...

sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances...

Multilevel models (also known as hierarchical linear models, linear mixed-effect models, mixed models, nested data models, random coefficient, random-effects...

functions, especially the sigma function or sum-of-divisors function. In applied mathematics, σ(T) denotes the spectrum of a linear map T. In complex analysis...

in that they both look for linear combinations of variables which best explain the data. LDA explicitly attempts to model the difference between the classes...

field with imaginary mass. However, it was soon realized that Feinberg's model did not in fact allow for superluminal (faster-than-light) particles or...

Calabi–Yau manifolds are compact, but some allow them to be non-compact. In the generalization to non-compact manifolds, the difference ( Ω ∧ Ω ¯ − ω n / n...

world-sheet Σ {\displaystyle \Sigma } is then an embedded surface, that is, an embedded 2-manifold Σ ↪ M {\displaystyle \Sigma \hookrightarrow M} , such that...

equation is a nonlinear variation of the Schrödinger equation. Non-linear sigma model is found in quantum field theory. Nonlinear system, in mathematics...

In statistics, simple linear regression (SLR) is a linear regression model with a single explanatory variable. That is, it concerns two-dimensional sample...

least squares (OLS) is a type of linear least squares method for choosing the unknown parameters in a linear regression model (with fixed level-one[clarification...

vector space V over a field F is the moduli space of all k-dimensional linear subspaces of V. Whenever there is an embedding of a scheme X {\displaystyle...

The Ogden material model is a hyperelastic material model used to describe the non-linear stress–strain behaviour of complex materials such as rubbers...

mechanical model proposed in 1997 by Tom Banks, Willy Fischler, Stephen Shenker, and Leonard Susskind; it is also known as BFSS matrix model, after the...

later case, this is referred to as the O ( n ) {\displaystyle O(n)} non-linear sigma model, as the rotation group O ( n ) {\displaystyle O(n)} is group of...

In statistics, linear regression is a model that estimates the linear relationship between a scalar response (dependent variable) and one or more explanatory...

a reading of the latter paper shows that it is actually concerned with linear dilation backgrounds, not Dirichlet boundary conditions). This paper, though...

gravitons having non-zero mass. Most theories containing gravitons suffer from severe problems. Attempts to extend the Standard Model or other quantum...

useful to mitigate the problem of multicollinearity in linear regression, which commonly occurs in models with large numbers of parameters. In general, the...

and the velocity dispersion of the host galaxy's bulge, known as the M–sigma relation, strongly suggests a connection between the formation of the black...

Bayesian linear regression is a type of conditional modeling in which the mean of one variable is described by a linear combination of other variables...

\ldots \rangle } denotes the trace in the flavor space. This is a non-linear sigma model. Terms involving ∂ μ ∂ μ U {\displaystyle \textstyle \partial _{\mu...

,\cdot ]\otimes {\operatorname {id} }\circ ({\operatorname {id} }+\sigma +\sigma ^{2})=0} where σ is the cyclic permutation braiding ( id ⊗ τ A , A )...

understanding of string theory and quantum gravity. This is because it provides a non-perturbative formulation of string theory with certain boundary conditions...

using similar techniques. When viewed in the generalized linear model framework, the probit model employs a probit link function. It is most often estimated...