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Dimensional Invariance and Dimensional Analysis
2015The notion of invariance is a fundamental one in mathematics and the sciences. This chapter is a brief introduction to two of its subtopics, dimensional invariance and dimensional analysis, which are relevant to the subject of this book. Specifically, dimensional invariance is closely related to, but technically different from, meaningfulness.
Jean-Claude Falmagne, Christopher Doble
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Dimensional Effects in Low-dimensional Systems
2011Surfaces, interfaces, thin films, and quantum wires provide abundant examples of quasi two-dimensional or one-dimensional systems in science and technology. Quantum mechanics in low dimensions has become an important tool for modeling properties of these systems.
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Journal of Clinical Psychology, 1972
ABSTRACT This study sought, through a factor analysis of 450 masculine-feminine (MF) items from nine established sources such as the Minnesota Multiphasic Personality Inventory (MNK), to determine whether in a college sample of 523 students there were a small number of factors common to both sexes, or if the MF scale consisted of so many weak factors ...
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ABSTRACT This study sought, through a factor analysis of 450 masculine-feminine (MF) items from nine established sources such as the Minnesota Multiphasic Personality Inventory (MNK), to determine whether in a college sample of 523 students there were a small number of factors common to both sexes, or if the MF scale consisted of so many weak factors ...
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Software: Practice and Experience, 1977
AbstractBy introducing the idea of axes Dimensional Flowcharting clarifies the representation of sequential and parallel operations. Step‐Wise Refinement is added to give an improved method of representing and understanding the design of software. Many of the disadvantages of conventional flowcharting are removed.
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AbstractBy introducing the idea of axes Dimensional Flowcharting clarifies the representation of sequential and parallel operations. Step‐Wise Refinement is added to give an improved method of representing and understanding the design of software. Many of the disadvantages of conventional flowcharting are removed.
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ESTIMATING THE DIMENSIONAL CHARACTERISTICS OF TWO-DIMENSIONAL PATTERNS
International Journal of Bifurcation and Chaos, 1995Dynamical properties of two-dimensional patterns generated by spatially extended systems can be described via the characteristics of attractors in the matrix phase space of the associated translation (or translational-evolution) dynamical systems. Questions regarding the possibility of estimating the fractal dimensions of two-dimensional patterns from
Zheleznyak, A. L., Chua, L. O.
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Psychological Reports, 1976
For 239 college students positive correlations of low to moderate magnitude were obtained among indices of creativity in fine arts, crafts, performing arts, math-science, literature, and music. More values reached statistical significance for the males than for the females.
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For 239 college students positive correlations of low to moderate magnitude were obtained among indices of creativity in fine arts, crafts, performing arts, math-science, literature, and music. More values reached statistical significance for the males than for the females.
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Dimensional analysis and dimensional similarity
2013A physical quantity is a physical property or quality that can be quantified by measurement. A physical quantity is defined by the product of a numerical value and a unit of measurement. In this section we present a structured approach in order to obtain the dimensionless numbers of any dimensional relation. The approach is based on matrix computations,
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Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls
Computational Methods in Applied Mathematics, 2018Abstract In this paper, we consider control systems for which the underlying semigroup is analytic, and the resolvent of its generator is compact. In that case we give a characterization of the stabilizability of such control systems. When the stabilizability condition is satisfied the system is also stabilizable by finite-dimensional
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Dimensional Analysis and Dimensional Reasoning
2012This chapter explores some of the ways physical dimensions, such as length, mass and time, impact on the work of scientists and engineers. Two main themes are considered: dimensional analysis, which involves deriving algebraic expressions to relate quantities based on their dimensions; and dimensional rea-soning, a more general and often more subtle ...
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Three‐Dimensionalism and Four‐Dimensionalism
2006Abstract Part of the problem of temporal supervenience is the problem of spatiotemporal location: how are objects located in spacetime? This chapter provides a detailed statement of various answers to this problem. The main answers are three-dimensionalism and four-dimensionalism.
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