• Thumbnail for Sigma complex
    in a sigma bond. Transition metal silane complexes are often especially stable sigma complexes. A particularly common subset of sigma complexes are those...
    5 KB (506 words) - 18:38, 27 October 2024
  • is a special case of a C–H sigma complex. Historically, agostic complexes were the first examples of C–H sigma complexes to be observed spectroscopically...
    9 KB (925 words) - 06:24, 11 August 2024
  • 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...
    18 KB (2,180 words) - 00:12, 15 May 2025
  • sigma factor with a molecular weight of 70 kDa. The sigma factor in the RNA polymerase holoenzyme complex is required for the initiation of transcription...
    20 KB (2,045 words) - 23:47, 25 October 2024
  • Thumbnail for Sigma bond
    In chemistry, sigma bonds (σ bonds) or sigma overlap are the strongest type of covalent chemical bond. They are formed by head-on overlapping between atomic...
    8 KB (918 words) - 17:32, 21 April 2025
  • Thumbnail for Arenium ion
    this complex is also called a Wheland intermediate, after American chemist George Willard Wheland (1907–1976). They are also called sigma complexes. The...
    4 KB (494 words) - 21:55, 19 June 2023
  • Thumbnail for Dihydrogen complex
    Dihydrogen complexes are coordination complexes containing intact H2 as a ligand. They are a subset of sigma complexes. The prototypical complex is W(CO)3(PCy3)2(H2)...
    7 KB (806 words) - 01:20, 5 October 2024
  • silyl complexes describe coordination complexes in which a transition metal is bonded to an anionic silyl ligand, forming a metal-silicon sigma bond....
    6 KB (601 words) - 14:44, 21 March 2024
  • is a complex number. Formally, a complex measure μ {\displaystyle \mu } on a measurable space ( X , Σ ) {\displaystyle (X,\Sigma )} is a complex-valued...
    7 KB (961 words) - 22:16, 26 August 2024
  • Thumbnail for Pauli matrices
    set of three 2 × 2 complex matrices that are traceless, Hermitian, involutory and unitary. Usually indicated by the Greek letter sigma (σ), they are occasionally...
    45 KB (7,495 words) - 14:33, 11 May 2025
  • Thumbnail for Delta-sigma modulation
    Delta-sigma (ΔΣ; or sigma-delta, ΣΔ) modulation is an oversampling method for encoding signals into low bit depth digital signals at a very high sample-frequency...
    59 KB (6,863 words) - 21:03, 21 April 2025
  • three-centered σ complex is invoked, followed by intramolecular ligand bond cleavage of the ligand (probably by donation of electron pair into the sigma* orbital...
    10 KB (1,210 words) - 14:57, 11 January 2025
  • complex that contains a hydride, a silyl ligand (R3Si), and the alkene substrate. Oxidative addition proceeds by the intermediacy of a sigma-complex,...
    8 KB (979 words) - 10:35, 27 April 2025
  • Σ-algebra (redirect from Sigma-algebras)
    In mathematical analysis and in probability theory, a σ-algebra ("sigma algebra") is part of the formalism for defining sets that can be measured. In...
    31 KB (5,528 words) - 18:09, 9 May 2025
  • Thumbnail for Spinor
    {i} &=-\sigma _{2}\sigma _{3}=-i\sigma _{1}\\\mathbf {j} &=-\sigma _{3}\sigma _{1}=-i\sigma _{2}\\\mathbf {k} &=-\sigma _{1}\sigma _{2}=-i\sigma _{3}\end{aligned}}}...
    72 KB (9,924 words) - 14:30, 4 May 2025
  • Thumbnail for Complex text layout
    to simply equate the two sigma codes for operations which are concerned with word content, for example. Examples of complex rendering — SIL international's...
    8 KB (766 words) - 19:53, 4 May 2025
  • Thumbnail for Cauchy–Riemann equations
    Cauchy–Riemann equations (category Complex analysis)
    \sigma _{1}\sigma _{2}} , ( σ 1 2 = σ 2 2 = 1 , σ 1 σ 2 + σ 2 σ 1 = 0 {\displaystyle \sigma _{1}^{2}=\sigma _{2}^{2}=1,\sigma _{1}\sigma _{2}+\sigma _{2}\sigma...
    34 KB (5,011 words) - 14:50, 1 April 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 (5,930 words) - 16:02, 23 April 2025
  • field of complex numbers itself, considered as a complex vector space over itself and with the conjugation map σ : C → C {\displaystyle \sigma :{\mathbb...
    8 KB (1,483 words) - 15:06, 29 January 2023
  • chemistry, sigma-bond metathesis is a chemical reaction wherein a metal-ligand sigma bond undergoes metathesis (exchange of parts) with the sigma bond in...
    2 KB (241 words) - 23:08, 20 April 2024
  • Thumbnail for Singular value decomposition
    m\times n} complex matrix ⁠ M {\displaystyle \mathbf {M} } ⁠ is a factorization of the form M = U Σ V ∗ , {\displaystyle \mathbf {M} =\mathbf {U\Sigma V^{*}}...
    91 KB (14,584 words) - 06:04, 19 May 2025
  • Thumbnail for Simplicial complex
    {\displaystyle \sigma \in {\mathcal {K}}} of dimension exactly k. Informally, a pure 1-complex "looks" like it's made of a bunch of lines, a 2-complex "looks"...
    14 KB (1,992 words) - 00:21, 18 May 2025
  • Thumbnail for Covariance matrix
    _{1})(X_{2}-\mu _{2})]}{\sigma (X_{1})\sigma (X_{2})}}&\cdots &{\frac {\operatorname {E} [(X_{1}-\mu _{1})(X_{n}-\mu _{n})]}{\sigma (X_{1})\sigma (X_{n})}}\\\\{\frac...
    37 KB (5,799 words) - 21:03, 14 April 2025
  • n_{1}\sigma _{1}+\cdots +n_{k}\sigma _{k}\in C_{0}} , then ε ( n 1 σ 1 + ⋯ + n k σ k ) = n 1 + ⋯ + n k ∈ Z {\displaystyle \varepsilon (n_{1}\sigma _{1}+\cdots...
    4 KB (641 words) - 02:12, 28 September 2024
  • Thumbnail for Rayleigh distribution
    , {\displaystyle f(x;\sigma )={\frac {x}{\sigma ^{2}}}e^{-x^{2}/(2\sigma ^{2})},\quad x\geq 0,} where σ {\displaystyle \sigma } is the scale parameter...
    16 KB (2,251 words) - 04:19, 13 February 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 (2,317 words) - 23:35, 11 November 2024
  • Thumbnail for Quaternion
    -i\sigma _{1}=-\sigma _{2}\sigma _{3},\quad \mathbf {j} \mapsto -i\sigma _{2}=-\sigma _{3}\sigma _{1},\quad \mathbf {k} \mapsto -i\sigma _{3}=-\sigma _{1}\sigma...
    96 KB (12,666 words) - 12:05, 11 May 2025
  • {\displaystyle \sigma (T)\cap \mathbb {R} =\sigma _{\mathbb {R} }(T)} . Note that the real spectrum may or may not coincide with the complex spectrum. In...
    30 KB (5,808 words) - 20:00, 24 March 2025
  • {\displaystyle \sigma ^{\mu }={\begin{pmatrix}\sigma ^{0}&\sigma ^{1}&\sigma ^{2}&\sigma ^{3}\end{pmatrix}}={\begin{pmatrix}I_{2}&\sigma _{x}&\sigma _{y}&\sigma _{z}\end{pmatrix}}}...
    47 KB (8,807 words) - 17:38, 12 May 2025
  • Thumbnail for Link (simplicial complex)
    \operatorname {Lk} (\sigma ,X):=\{\tau \in X:~\tau \cap \sigma =\emptyset ,~\tau \cup \sigma \in X\}} . Given a geometric simplicial complex X and any face...
    9 KB (1,276 words) - 01:04, 11 September 2023