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The distributive property

The Arithmetic Teacher, 1967
In this period of emphasis on teaching the structure of mathematical systems, the distributive property is indeed basic. Yet, surprisingly, there is a fundamental weakness in the presentations of this property in the textbooks. This is particularly disturbing to prospective elementary teachers who arc now studying more and more of the basic concepts of
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Distributional Properties

2004
Abstract This paper discusses a distinctive kind of property that I call ‘distributional’ properties, which include, for example, the property of being polka-dotted (a colour-distributional property) and the property of being hot at one end and cold at the other (a heat-distributional property).
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Distributions; General Properties

1978
In functional analysis and its applications to physics, it is desirable to generalize the classical notion of function in the manner suggested by Dirac and carried out by Laurent Schwartz in his theory of “distributions” (called “generalized functions” by the Russian authors). In the presentation given here, in this chapter and the next few, I take the
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Distributional and Statistical Properties

2021
With a focus on statistical inference, distributional and statistical properties of multivariate and multiparameter exponential families are studied, such as generating functions, marginal and conditional distributions, and product measures. Sufficiency and completeness of statistics in exponential families is examined, and representations of the score
Stefan Bedbur, Udo Kamps
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Lognormal Distributions and Properties

1999
If Y is normally distributed with mean μ and variance σ2, then the random variable X defined by the relationship Y =log(X - γ) is distributed as lognormal, and is denoted as lognormal(γ,μ,σ2).
N. Balakrishnan, William W. S. Chen
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GPS: The Distributive Property

Mathematics Teacher: Learning and Teaching PK-12
Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners  growth as problem solvers across their years of school mathematics.
Amy J. Tanner, Daniel K. Siebert
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Additional Properties of Distributions

1998
Some algebraic operations on the delta function were studied in the last chapter. In subsequent chapters we shall be required to transform this function to certain curvilinear coordinates. For this purpose we devote an entire section to this topic. Let us first study the meaning of the function δ[f (x)] and prove the result $$\delta \left[ {f\left(
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Properties of Lagrangian distributions

Communications in Statistics - Theory and Methods, 2015
AbstractLagrange’s expansion is the power series expansion of the inverse function of an analytic function, and it leads to general Lagrangian distributions of the first kind as well as of the second kind. We present some theorems in which different sets of two analytic functions provide a Lagrangian distribution. Potential applicability of the theorem
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Modelling stem properties distribution

1999
Final report of the sub-task A2.1, in final report of the task A2: "Tree and stand properties modelling" of the project "Product properties prediction improved utilization in the forestry-wood chain applied on spruce ...
Leban, Jean-Michel, Hervé, J.C.
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Property, Taxes and Distribution

2012
Is an ideal of distributive justice, strong enough to require some redistribution, philosophically defensible? More, could such an ideal be made politically attractive? While it looks as if redistribution inevitably conflicts with property rights, and while property rights have great popular and political appeal, it is argued here that property rights ...
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