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In this broader sense, model theory meets philosophy at several points, for example in the theory of logical consequence and in the semantics of natural languages.
We can come across stochastic behavior while examining many important problems of a global character in various fields of research, for example, in the theory of climate change.
Pseudo almost periodic functions have many applications in several problems, for example in the theory of functional differential equations, integral equations, and partial differential equations.
The proofs of the second and fourth of these results are particularly involved, and introduce a proof technique that has other applications, for example in the theory of convergence of sequences of functions between apartness spaces.
For example in the theory of nonlinear diffusion generated by nonlinear sources, in thermal ignition of gases and in concentration in chemical or biological problems; see [33 36] and the references therein.
The systems of second-order ordinary differential equations arise from many fields in physics, biology and chemistry; for example, in the theory of nonlinear diffusion generated by nonlinear sources, in thermal ignition of gases, and in concentration in chemical or biological problems (see [1] [3] and the references therein).
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In a similar vein, geometric group theory employs geometric concepts, for example in the study of hyperbolic groups.
For example, the theory of island biogeography, published by the mathematician Robert MacArthur and ecologist Edward O. Wilson in 1967 is considered one of the fundamentals of ecological theory.
For example, in the introduction to his 1947 "Kinetic theory of liquids" book, Yakov Frenkel proposed that "The kinetic theory of liquids must accordingly be developed as a generalization and extension of the kinetic theory of solid bodies.
For example, in a theory that treats particles only, the coincidences are the points of intersection of the particle worldlines.
For example, in probability theory it is desirable to estimate the likelihood of certain outcomes of an experiment.
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