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Some statistical properties of mathematical morphology
IEEE Transactions on Signal Processing, 1995Analyzes the statistical properties of the basic binary and multilevel morphological operations with both 1-D and 2D structuring elements. Very simple expressions for the output distribution of erosion and opening are derived in the case of any independent identically or nonidentically distributed inputs.
Demin Wang +3 more
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On the Mathematical Properties of Distributed Approximating Functionals
Journal of Mathematical Chemistry, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, G. +5 more
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Inequalities and mathematical properties of uncertain variables
Fuzzy Optimization and Decision Making, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Buffered Probability of Exceedance: Mathematical Properties and Optimization
SIAM Journal on Optimization, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Mafusalov, Stan Uryasev
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Some mathematical properties of simulation models
ACM SIGSIM Simulation Digest, 1977A mathematical style of description of simulation models is introduced by using the formalism of system theory. Discrete event simulation models which use pseudorandom number generators are regarded as abstract objects described by a family of input-output time-functions and are proved to hold the property of aggregates.
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A Note on the Mathematical Properties of the Boltzmann Equation
Proceedings of the Physical Society, 1963The problem of the uniqueness of solutions of the Boltzmann equation is studied. It is shown that if the kernel possesses certain symmetry properties (which it usually does in the absence of magnetic fields) the equation can be reduced to a form which is non-singular in an algebraic sense, and therefore has a unique solution.
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A Mathematical Property of Dirac Plane Waves
Journal of Mathematical Physics, 1971From Dirac plane waves, we can define a gij, Γjki, and eαi. It is found that Dirac plane waves satisfy, in addition to the Dirac equation, a set of nonlinear field equations involving these quantities. General eαi plane waves do not satisfy these equations.
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Some Mathematics behind Graph Property Testing
2008Graph property testing is the third reincarnation of the same general question, after statistics and learning theory. In its simplest form, we have a huge graph (we don't even know its size), and we draw a sample of the node set of bounded size. What properties of the graph can be deduced from this sample?
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Required mathematical properties and behaviors of uncertainty measures on belief intervals
International Journal of Intelligent Systems, 2021Joaquín Abellán +2 more
exaly