That occurs because of the evident human (biotic) features of divergence from routine reasoning and calculus, use of intuition and other intriguing biotic generic cognitive behaviours (introducing analogies, abstractions, relations, boundaries, equalities, consistencies, and beauties into the expert and domain-dependent reasoning) (Hofstadter 1995).
Similar remarks can be made when we turn to ontology, in particular formal ontology: the part/whole relation, boundaries of systems, ideas of space, etc. Ellerman (1988) has bravely attempted to show that category theory constitutes a theory of universals, one having properties radically different from set theory, which is also seen as a theory of universals.
The dynamic model of the coupler system is built based on actual kinetic relations and boundary limitations.
Discrete particle simulations of a segregating system are performed using various drag relations and boundary conditions, and compared to experiments.
An analytical solution is performed for satisfying thermal Elastic plastic stress strain relations and boundary conditions for small plastic deformations.
The governing equations in terms of displacement, stress-displacement relations, and boundary conditions for the three-dimensional plate model are first presented.
Under the framework, the displacement and sound pressure admissible functions are generally set, no relations to boundary conditions, to the combinations of Fourier cosine series and supplementary functions which can eliminate the discontinuous or jumping phenomenon in the boundaries.
The tau and Galerkin methods are analogous in the sense that the FDEs are enforced to satisfy some algebraic equations, then some supplementary set of equations are derived using the relations of boundary conditions (see, e.g., [12] and the references therein).
In this study, using a virtual work equation, a micro-/macro-kinematic relation and a linearized constitutive relation, a boundary value problem is fully implicitly formulated to determine perturbed displacement increment fields in elastoplastic unit cells for two-scale analysis.
