Results 171 to 180 of about 20,498 (195)
Exponential control of excitations for trapped BEC in the Gross-Pitaevskii regime. [PDF]
Lett Math PhysBehrmann N, Brennecke C, Rademacher S.
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Entropy (Basel)Gu Y, Wang J.
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Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]
Calc Var Partial Differ EquAbels H, Garcke H, Poiatti A.
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NONLINEAR GLOBAL FRÉCHET REGRESSION FOR RANDOM OBJECTS VIA WEAK CONDITIONAL EXPECTATION. [PDF]
Ann StatBhattacharjee S, Li B, Xue L.
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Hyperbolic Hilbert space [PDF]
Advances in Applied Clifford Algebras, 2000 Let \(H\) be the hyperbolic complex plane and let \(\Xi\) be the divisors of zero region. An addition sub-semi-group \(S\) of \(H\) is called hyperbolic semi-linear space if \(o\in S\) and there exists an operation of multiplication by non-negative real numbers having the following properties: 1. \((ab)X = a(bX)\) 2. \((a+b)X = aX + bX\); 3. \(a(X+Y) =
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Behavioral and Brain Sciences, 2013
AbstractUse of quantum probability as a top-down model of cognition will be enhanced by consideration of the underlying complex-valued wave function, which allows a better account of interference effects and of the structure of learned and ad hoc question operators.
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AbstractUse of quantum probability as a top-down model of cognition will be enhanced by consideration of the underlying complex-valued wave function, which allows a better account of interference effects and of the structure of learned and ad hoc question operators.
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1964
Publisher Summary This chapter focuses on Hilbert space. The chapter discusses the theory of bounded operators, and reviews the orthogonality and orthogonal systems of elements. Various theorems are proven. Linear operators, and bilinear and quadratic functionals are reviewed. The chapter reviews bounds of a self-conjugate operator.
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Publisher Summary This chapter focuses on Hilbert space. The chapter discusses the theory of bounded operators, and reviews the orthogonality and orthogonal systems of elements. Various theorems are proven. Linear operators, and bilinear and quadratic functionals are reviewed. The chapter reviews bounds of a self-conjugate operator.
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Ukrainian Mathematical Journal, 1986
We continue the study of the structure of families of probability measures, started by \textit{I. Sh. Ibramkhalilov} and \textit{A. V. Skorokhod} [Estimates of parameters of stochastic processes (1980; Zbl 0429.60031)] and \textit{Z. S. Zerakidze} [Soobshch. Akad. Nauk Gruz. SSR 113, 37-39 (1984; Zbl 0562.60002)].
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We continue the study of the structure of families of probability measures, started by \textit{I. Sh. Ibramkhalilov} and \textit{A. V. Skorokhod} [Estimates of parameters of stochastic processes (1980; Zbl 0429.60031)] and \textit{Z. S. Zerakidze} [Soobshch. Akad. Nauk Gruz. SSR 113, 37-39 (1984; Zbl 0562.60002)].
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2003
The main feature of a basis \(\{f_{k}\}_{k=1}^{\infty }\) in a Hilbert space \(\mathcal{H}\) is that every \(f \in \mathcal{H}\) can be represented as a superposition of the elements f k in the basis: $$\displaystyle\begin{array}{rcl} f =\sum _{ k=1}^{\infty }c_{ k}(f)f_{k}.& &{}\end{array}$$ (5.1) The coefficients c k (f) are unique.
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The main feature of a basis \(\{f_{k}\}_{k=1}^{\infty }\) in a Hilbert space \(\mathcal{H}\) is that every \(f \in \mathcal{H}\) can be represented as a superposition of the elements f k in the basis: $$\displaystyle\begin{array}{rcl} f =\sum _{ k=1}^{\infty }c_{ k}(f)f_{k}.& &{}\end{array}$$ (5.1) The coefficients c k (f) are unique.
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