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Functional Integration; Path Integrals
2009If the variable of integration is a field, a functional integral is sometimes called “a sum over histories”. Functional integration is a rich and powerful mathematical technique because the domain of integration X is an infinite dimensional space. Short of having intuitive understanding of infinite dimensional spaces of functions, we have extensive ...
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Thermodynamic functions as correlation-function integrals
The Journal of Chemical Physics, 2013Expressions of some thermodynamic functions as correlation-function integrals, such as the Ornstein-Zernike integral, the Kirkwood-Buff integrals, and the integral formulas for virial coefficients, are recalled. It is noted, as has been remarked before, that the choice of molecular centers from which intermolecular distances are measured is arbitrary ...
K, Koga, B, Widom
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Notes on Functional Integration
Journal of Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integration of Interval Functions
SIAM Journal on Mathematical Analysis, 1981An interval function Y assigns an interval $Y(x) = (y(x),\bar y(x)]$ in the extended real number system to each x in its interval $X = [a,b]$ of definition. The integral of Y over $[a,b]$ is taken to be the interval $\int_a^b {Y(x)dx = [\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\int } _a^b \underset{\raise0.3em\hbox{$\smash ...
Caprani, Ole, Madsen, Kaj, Rall, L. B.
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Integrating function and mechanism
Trends in Ecology & Evolution, 2009Behavioural ecology often makes the assumption that animals can respond flexibly by adopting the optimal behaviour for each circumstance. However, as ethologists have long known, behaviour is determined by mechanisms that are not optimal in every circumstance. As we discuss here, we believe that it is necessary to integrate these separate traditions by
McNamara, JM, Houston, AI
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Integrating Functional Genomics Data
2008The revolution in high throughput biology experiments producing genome-scale data has heightened the challenge of integrating functional genomics data. Data integration is essential for making reliable inferences from functional genomics data, as the datasets are neither error-free nor comprehensive.
Insuk, Lee, Edward M, Marcotte
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Integrating functional genomics data
Biochemical Society Transactions, 2003Functional annotation of fully sequenced genomes is still a major issue. High-throughput data sets could be used to provide more and better functional annotations. However differences in data quality need to be taken into account. For this purpose these high-throughput data sets need to be integrated so that the data quality can be assessed, hypotheses
P, Kemmeren, F C P, Holstege
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
exaly
Recognizing integrable functions II
1997Abstract We may amalgamate earlier results to obtain the following integrability criterion. It should be treated as guidance on how to proceed in examples rather than a result to quote verbatim.
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