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Social Science Research Network, 2019
This is an edited and enhanced transcript (with notes and references added) from a lecture on "Probability", prepared as background material for the Minds and Machines course (SYMSYS 1/PSYCH 35/LINGUIST 35/PHIL 99) at Stanford University.
Todd Davies
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This is an edited and enhanced transcript (with notes and references added) from a lecture on "Probability", prepared as background material for the Minds and Machines course (SYMSYS 1/PSYCH 35/LINGUIST 35/PHIL 99) at Stanford University.
Todd Davies
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Probability theory for number of mixture components resolved by n independent columns
Journal of Chromatography A, 2005A general theory is proposed for the probability of different outcomes of success and failure of component resolution, when complex mixtures are partially separated by n independent columns. Such a separation is called an n-column separation. An outcome of particular interest is component resolution by at least one column. Its probability is identified
Leonid M. Blumberg, Joe M. Davis
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Sample Efficient Identity Testing and Independence Testing of Quantum States
Information Technology Convergence and Services, 2021In this paper, we study the quantum identity testing problem, i.e., testing whether two given quantum states are identical, and quantum independence testing problem, i.e., testing whether a given multipartite quantum state is in tensor product form.
Nengkun Yu
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Discussion the Teaching Methods Reform on “Probability Theory and Mathematical Statistics” of Independent College [PDF]
, 2013 Independent College is a new school model of Higher Education in our country, how to train students to adapt to the needs of society is its urgent problem. From the practical teaching, this paper analyzes the current situation and point out the problems on Probability theory and Mathematical Statistics in Independent Colleges, and proposes a solution ...
Yankun Li +3 more
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Physical Review A, 2001
The cumulative reaction probability (CRP) is a gross characteristic of rearrangement collision processes defining the reaction rate constant. This paper presents a complete development of the approach to the theory of CRP that we have recently proposed [Phys. Rev. Lett. 80, 41 (1998)]. In the core of this approach lies an alternative expression for CRP
Hiroki Nakamura +2 more
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The cumulative reaction probability (CRP) is a gross characteristic of rearrangement collision processes defining the reaction rate constant. This paper presents a complete development of the approach to the theory of CRP that we have recently proposed [Phys. Rev. Lett. 80, 41 (1998)]. In the core of this approach lies an alternative expression for CRP
Hiroki Nakamura +2 more
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Aspects of Multivariate Statistical Theory
Wiley Series in Probability and Statistics, 1982Tables. Commonly Used Notation. 1. The Multivariate Normal and Related Distributions. 2. Jacobians, Exterior Products, Kronecker Products, and Related Topics. 3.
R. Muirhead
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Cumulative reaction probability from time independent scattering theory
The Journal of Chemical Physics, 1995The formally exact expression for the cumulative reaction probability, N(E), was first derived by Miller, Schwartz and Tromp (MST) [J. Chem. Phys. 79, 4889 (1983)] from the flux–flux time-dependent expression for the thermal rate constant. We derive the MST formula for N(E) from the time-independent expression for the state-to-state transition ...
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1980 Philipp Müller
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Journal of Applied Material Science & Engineering Research, 2022
A family member of the author was recently diagnosed with ovarian and uterine cancer which piqued his interest in understanding more about this subject. To date, he has read numerous published articles regarding this topic. Although the majority of these research papers utilize statistical data analysis tools to draw their observed conclusions, they ...
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A family member of the author was recently diagnosed with ovarian and uterine cancer which piqued his interest in understanding more about this subject. To date, he has read numerous published articles regarding this topic. Although the majority of these research papers utilize statistical data analysis tools to draw their observed conclusions, they ...
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Oxford Studies In Probability 4
1995Abstract This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also ...
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