Results 221 to 230 of about 5,049,450 (268)
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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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Extensions of Lipschitz mappings into Hilbert space
, 1984W. Johnson, J. Lindenstrauss
semanticscholar +1 more source
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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Harmonic Analysis of Operators on Hilbert Space
, 1970B. Szőkefalvi-Nagy +3 more
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
exaly
The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
Theory of linear operators in Hilbert space
, 1961N. Akhiezer, I. M. Glazman
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
exaly