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  2. Verschiebung operator - Wikipedia

    en.wikipedia.org/wiki/Verschiebung_operator

    ("Verschiebung" is German for "shift", but the term "Verschiebung" is often used for this operator even in other languages.) The Verschiebung operator V and the Frobenius operator F are related by FV = VF = [ p ], where [ p ] is the p th power homomorphism of an abelian group scheme.

  3. Shift operator - Wikipedia

    en.wikipedia.org/wiki/Shift_operator

    ⁠ The shift operator acting on functions of a real variable is a unitary operator on ⁠ (). In both cases, the (left) shift operator satisfies the following commutation relation with the Fourier transform: F T t = M t F , {\displaystyle {\mathcal {F}}T^{t}=M^{t}{\mathcal {F}},} where M t is the multiplication operator by exp( itx ) .

  4. Generalized Clifford algebra - Wikipedia

    en.wikipedia.org/wiki/Generalized_Clifford_algebra

    In mathematics, a generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, [1] who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), [2] and organized by Cartan (1898) [3] and Schwinger.

  5. Bernoulli scheme - Wikipedia

    en.wikipedia.org/wiki/Bernoulli_scheme

    The Bernoulli scheme, as any stochastic process, may be viewed as a dynamical system by endowing it with the shift operator T where T ( x k ) = x k + 1 . {\displaystyle T(x_{k})=x_{k+1}.} Since the outcomes are independent, the shift preserves the measure, and thus T is a measure-preserving transformation .

  6. Subshift of finite type - Wikipedia

    en.wikipedia.org/wiki/Subshift_of_finite_type

    By convention, the term shift is understood to refer to the full n-shift. A subshift is then any subspace of the full shift that is shift-invariant (that is, a subspace that is invariant under the action of the shift operator), non-empty, and closed for the product topology defined below. Some subshifts can be characterized by a transition ...

  7. Why Bill Belichick to North Carolina isn't a totally wild idea

    www.aol.com/sports/why-bill-belichick-unc-isnt...

    Know this: Belichick as a college head coach at a place already as appealing as UNC would cause a seismic shift in recruiting. Getting to the NFL is the No. 1 goal, or very close to the No. 1 goal ...

  8. Arithmetic shift - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_shift

    The formal definition of an arithmetic shift, from Federal Standard 1037C is that it is: . A shift, applied to the representation of a number in a fixed radix numeration system and in a fixed-point representation system, and in which only the characters representing the fixed-point part of the number are moved.

  9. Gauss–Kuzmin–Wirsing operator - Wikipedia

    en.wikipedia.org/wiki/Gauss–Kuzmin–Wirsing...

    The eigenvalues form a discrete spectrum, when the operator is limited to act on functions on the unit interval of the real number line. More broadly, since the Gauss map is the shift operator on Baire space, the GKW operator can also be viewed as an operator on the function space (considered as a Banach space, with basis functions taken to be the indicator functions on the cylinders of the ...

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