In physics, a sigma model is a field theory that describes the field as a point particle confined to move on a fixed manifold. This manifold can be taken...
22 KB (4,143 words) - 19:08, 31 January 2025
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...
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related to the prototypical Ising model, where at each site of a lattice, a spin σ i ∈ { ± 1 } {\displaystyle \sigma _{i}\in \{\pm 1\}} represents a microscopic...
16 KB (2,733 words) - 03:57, 2 June 2025
_{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 ...
84 KB (14,123 words) - 17:53, 23 July 2025
base model, badged Sigma Galant. The Saturn engine was good for 56 kW (75 hp) of power and 117 N⋅m (86 lb⋅ft) of torque. The mid-range model, the Sigma GL...
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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...
88 KB (13,240 words) - 14:27, 6 August 2025
is a nonlinear sigma model with the principal homogeneous space of a Lie group G {\displaystyle G} as its target manifold. When the model was originally...
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Skyrmion (redirect from Skyrme model)
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 in...
25 KB (3,176 words) - 00:31, 25 May 2025
{\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...
21 KB (3,665 words) - 10:25, 19 July 2024
Wikimedia Commons has media related to Mitsubishi Sigma. Mitsubishi Sigma is a model name that was used by the Japanese automobile manufacturer Mitsubishi...
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_{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...
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the stock is then modelled as: S t = S 0 ( 1 − δ ) n ( t ) e u t + σ W t {\displaystyle S_{t}=S_{0}(1-\delta )^{n(t)}e^{ut+\sigma W_{t}}} where n ( t...
65 KB (9,552 words) - 15:13, 31 July 2025
Six Sigma (6σ) is a set of techniques and tools for process improvement. It was introduced by American engineer Bill Smith while working at Motorola in...
52 KB (5,931 words) - 11:08, 6 August 2025
68–95–99.7 rule (redirect from Three sigma rule)
-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...
20 KB (1,645 words) - 17:37, 29 July 2025
general, sigma models exhibit topological soliton solutions. The most famous and well-studied of these is the Skyrmion, which serves as a model of the nucleon...
40 KB (6,710 words) - 16:12, 7 August 2025
than two dimensions. The continuum limit can be understood to be the sigma model. This can be easily obtained by writing the Hamiltonian in terms of the...
7 KB (1,193 words) - 03:27, 20 January 2025
List of quantum field theories (redirect from Examples of QFT models)
Scalar, spinor and gauge Standard Model Chiral model Non-linear sigma model Wess–Zumino–Witten model Wess–Zumino model Supersymmetric Yang–Mills 4D N =...
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{\displaystyle dr_{t}=a(b-r_{t})\,dt+\sigma {\sqrt {r_{t}}}\,dW_{t},} where W t {\displaystyle W_{t}} is a Wiener process (modelling the random market risk factor)...
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representations of the Mathieu group M24. This suggests that there is a sigma-model conformal field theory with K3 target that carries M24 symmetry. However...
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Path of Buddhism). Gell-Mann, along with Maurice Lévy, developed the sigma model of pions, which describes low-energy pion interactions. In 1964, Gell-Mann...
54 KB (4,849 words) - 19:49, 31 July 2025
types of Sigma combatants Sigma frigate Sigma corvette Sigma fast attack corvette Simplified comparisons between the different Sigma models. There are...
58 KB (4,294 words) - 10:48, 3 July 2025
Sigma (/ˈsɪɡmə/ SIG-mə; uppercase Σ, lowercase σ, lowercase in word-final position ς; Ancient Greek: σίγμα) is the eighteenth letter of the Greek alphabet...
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(t)r(t)\right]\,dt+\sigma (t)\,dW(t).} There is a degree of ambiguity among practitioners about exactly which parameters in the model are time-dependent...
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through 1983. The first Sigmas were typically dreadnought acoustic, although Grand Concert Series (GCS) and classical models were also produced from the...
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Topological string theory (redirect from Topological A-model)
two-dimensional surfaces. A quantum field theory known as the N = (1,1) sigma model is defined on each surface. This theory consist of maps from the surface...
19 KB (2,687 words) - 02:18, 1 April 2025
Design for Six Sigma (DFSS) is a collection of best-practices for the development of new products and processes. It is sometimes deployed as an engineering...
17 KB (2,323 words) - 23:31, 11 July 2025
dr_{t}=a(b-r_{t})\,dt+\sigma \,dW_{t}} where Wt is a Wiener process under the risk neutral framework modelling the random market risk factor, in that it models the continuous...
8 KB (1,212 words) - 18:51, 26 July 2025
Autoregressive conditional heteroskedasticity (redirect from Garch model)
{\displaystyle \sigma _{t}^{2}} is modeled by σ t 2 = α 0 + α 1 ϵ t − 1 2 + ⋯ + α q ϵ t − q 2 = α 0 + ∑ i = 1 q α i ϵ t − i 2 {\displaystyle \sigma _{t}^{2}=\alpha...
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United States in 1986. Six Sigma was developed within Motorola to compete with the kaizen (or lean manufacturing) business model in Japan.[citation needed]...
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Chern–Simons theory (redirect from Chern-Simons model)
"Topological and nontopological selfdual Chern-Simons solitons in a gauged O(3) sigma model". Physical Review D. 54 (8): 5245–5258. Bibcode:1996PhRvD..54.5245A....
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