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...

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

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...

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

_{j}X_{j}^{i};\quad \sigma _{i+1}^{2}={\frac {1}{M_{i}-1}}\sum _{j}(X_{j}^{i}-\mu _{i+1})^{2}.} Leading to a conditionally normal next generation model X j i + 1...

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

These models can be seen as generalizations of linear models (in particular, linear regression), although they can also extend to non-linear models. These...

{\displaystyle G} -WZW model on Σ {\displaystyle \Sigma } at the level k {\displaystyle k} . The model is a nonlinear sigma model whose action is a functional...

samples. For simple linear regression the effect is an underestimate of the coefficient, known as the attenuation bias. In non-linear models the direction of...

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

expressed as a linear first-order differential equation: σ = E ε + η ε ˙ {\displaystyle \sigma =E\varepsilon +\eta {\dot {\varepsilon }}} This model represents...

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

_{t}=1-{\frac {1-\sigma _{t}^{2}}{1-\sigma _{t-1}^{2}}}} . In order to use arbitrary noise schedules, instead of training a noise prediction model ϵ θ ( x t ...

The standard linear solid (SLS), also known as the Zener model after Clarence Zener, is a method of modeling the behavior of a viscoelastic material using...

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

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

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

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...

dimension, and then no reference to the bulk is appropriate. In the bulk model, at least some of the extra dimensions are extensive (possibly infinite)...

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...

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

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

e^{\beta h\sigma _{L}}e^{\beta J\sigma _{L}\sigma _{1}}=\sum _{\sigma _{1},\ldots ,\sigma _{L}}V_{\sigma _{1},\sigma _{2}}V_{\sigma _{2},\sigma _{3}}\cdots...

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

economics, behavior, etc. The autoregressive model specifies that the output variable depends linearly on its own previous values and on a stochastic...

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...

-1\sigma \leq X\leq \mu +1\sigma )&\approx 68.27\%\\\Pr(\mu -2\sigma \leq X\leq \mu +2\sigma )&\approx 95.45\%\\\Pr(\mu -3\sigma \leq X\leq \mu +3\sigma...

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...