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is called the Feynman slash notation. The slash operation maps the basis eμ of V, or any 4 dimensional vector space, to basis vectors γμ. The transformation...

}(2k\pi i-\mu )^{s-1}.} This will hold for Re(s) < 0 and all μ except where eμ = 1. For 0 < Im(µ) ≤ 2π the sum can be split as: Li s ⁡ ( e μ ) = Γ ( 1 − s )...

Porus the Elder. Abisares (or Abhisara; in Greek Αβισαρης), called Embisarus (Eμ Oβισαρoς) by Diodorus, was an Indian king of the Abhira tribe. descent beyond...

P(μ+Z1>Z2)={eμ(2−μ)4,when μ<01−e−μ(2+μ)4,when μ>0{\displaystyle P(\mu +Z_{1}>Z_{2})={\begin{cases}e^{\mu }{\frac {(2-\mu )}{4}},&{\text{when }}\mu <0\\1-e^{-\mu...

which determine fiber coordinates ξi. In terms of a basis of frames eμ, fν of E and F, respectively, the differential operator P decomposes into components...

written (v0, v1, v2, v3) where the Einstein notation is used to write v = vμ eμ. The component v0 is called the timelike component of v while the other three...

that eμT{\displaystyle e^{\mu T}} is a characteristic multiplier of the system. Notice that Floquet exponents are not unique, since e(μ+2πikT)T=eμT{\displaystyle...

calcium are considered, terms such as e2μ appear, which is the square of eμ; in this case, the formula for the Goldman equation can be solved using the...

inner product (f,g) = (2π)−2∬ f(x,y) g(x,y) dx dy, so that (Σ aλ eλ, Σ bμ eμ) = Σ aλbλ. For f in C∞(T'2) and k an integer, define the kth Sobolev norm...

\gamma _{\mu }} into another frame of vectors eμ{\displaystyle e_{\mu }} by the operation eμ=RγμR†{\displaystyle e_{\mu }=R\gamma _{\mu }R^{\dagger }};: 15 ...

representations of special linear groups) Eλ⊗Eμ=⨁ν(Eν)⊕cλμν.{\displaystyle E^{\lambda }\otimes E^{\mu }=\bigoplus _{\nu }(E^{\nu })^{\oplus c_{\lambda \mu }^{\nu...

We use a set of vierbein or frame fields {eμ}={e0,e1,e2,e3}{\displaystyle \{e_{\mu }\}=\{e_{0},e_{1},e_{2},e_{3}\}}, which are a set of vector fields (which...

Similarly we can construct local coframes in which eμ∗a(x)=δaμ−16Raσμτ(0)xσxτ+O(x2),{\displaystyle e_{\mu }^{*a}(x)=\delta _{a\mu }-{\frac {1}{6}}R_{a\sigma...

{\displaystyle f(x)={\frac {1}{2b}}e^{-{\frac {|x-\mu |}{b}}},} then the left-tail TVaR is equal to TVaRα⁡(X)={1−eμ(2α)bb+1if α≤0.5,1−eμ2−bα(b−1)[(1−α)(1−b)−1]if α>0...

>0}. If σ{\displaystyle \sigma } is known, the scale parameter is eμ{\displaystyle e^{\mu }}. μ{\displaystyle \mu } and σ{\displaystyle \sigma } correspond...

_{\alpha _{i}\in \Delta _{s}}\lambda _{i},} where the sum is calculated in the weight lattice P. The set of linear combinations of the exponentials eμ with...

1=e0{\displaystyle 1=\mathbf {e} _{0}}, so that the complete basis can be written in a compact form as {eμ},{\displaystyle \{\mathbf {e} _{\mu }\},} where the...

polynomial satisfies: Pλ(x;q,t)=∑μEμ(x1,...,xn;q,t)=∑μ∑Qwt(Q){\displaystyle P_{\lambda }({\textbf {x}};q,t)=\sum _{\mu }E_{\mu }(x_{1},...,x_{n};q,t)=\sum...

F^{I_{M}}} and FI1⋯IM{\displaystyle F^{I_{1}\cdots I_{M}}} is constructed via the mapping ei11⊗⋯eimm⊗⋯⊗eiMM↦eμ(i1,i2,…,iM),{\displaystyle \mathbf {e} _{i_{1}}^{1}\otimes...

"Simple symmetric matrix singularities and the subgroups of Weyl groups Aμ, Dμ, Eμ", Mosc. Math. J., 3:2 (2003). J.-P. Gauthier, V. M. Zakalyukin, "On the motion...