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Systems of Particles and Rigid Bodies
This chapter is the culmination of the primer. To start, the linear momentumof a system of K particles and N rigid bodies is discussed. Similarly,...
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Dominant Dimension and Almost Relatively True Versions of Schur’s Theorem
Perhaps the most fundamental problems of representation theory are to classify and to describe irreducible (=simple) representations and to determine...
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Existence theorem of the critical isotherm in mathematical linguistics
We investigate the analogy which exists between the evolution of natural and artificial languages, of human society, of animal communities, of...
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Four Years at Stockholm Gymnasium
At the end of August 1861, 15-year-old Gösta and 26 other boys were enrolled in the first level, also called the first ring, at Stockholm Gymnasium....
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Functions and Graphs
Section 1.1 discusses the geometry of (integer, real, complex, and quaternion) numbers. and the necessary notations from algebra. In Section 1.2 we...
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Optimal control of nonholonomic motion planning for a free-falling cat
The nonholonomic motion planning of a free-falling cat is investigated. Nonholonomicity arises in a free-falling cat subject to nonintegrable angle...
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Neuroendocrine Cells
There are many hormones that circulate through the body, controlling a diverse array of functions, from appetite to body temperature to blood pH....
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Theoretical Applications
This chapter is mainly theoretical application of GUT to create physical theories in the other disciplines of the natural and behavioral sciences...
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AFS Fuzzy Classifiers
In this chapter, we introduce three design strategies of classifiers which exploit the unified usage of the AFS fuzzy logic, entropy measures and...
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Using as a Semantic Markup Format
One of the great problems of Mathematical Knowledge Management (MKM) systems is to obtain access to a sufficiently large corpus of mathematical...
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Cellular Homeostasis
The cell membrane provides a boundary separating the internal workings of the cell from its external environment. More importantly, it is selectively...
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Combinatorics
The formal study of combinatorics dates at least to Gottfried Wilhelm Leibniz’s Dissertatio de Arte Combinatoria in the seventeenth century. The last...
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On market value margins and cost of capital
The valuation of insurance liabilities plays a central role in the design of any solvency framework. We investigate the notion of “fair value of...