We present a DNA-based implementation of reaction system with molecules encoding elements of the propositional logic, that is, propositions and formulas. The protocol can perform inference steps using, for example, modus ponens and modus tollens rules and de Morgan's laws. The set of the implemented operations allows for inference of formulas using the laws of natural deduction. The system can ...

Free vibration of a simply-supported magneto-electro-elastic doubly-curved nano-shell is studied based on the first-order shear deformation theory in the presence of the rotary inertia effect. To model the electric and magnetic behaviors of the nano-shell, Gauss’s laws for electrostatics and magneto statics are used. By using Navier’s method, the partial differential equations of motion are red...

Physical systems modeling, aimed at network modeling of complex multi-physics systems, has especially flourished in the fifties and sixties of the 20-th century, see e.g. [11, 4] and references provided therein. With the reinforcement of the ’systems’ legacy in Systems & Control, the growing recognition that ’control’ is not confined to developing algorithms for processing the measurements of t...

Global history is the outcome of a complex but knowable dynamic process that has been operating in the human sphere for the past two million years and that will continue to operate for as long as human society exists. Underpinning this dynamic process are the laws of history. This article argues that it is possible both to model the dynamics of human history and to identify the laws that govern...

Throughout the history of physics a key tool in the development of physical laws has been the infinitesimal. Infinitesimals entered the scene with the development of the calculus by Newton and Leibniz and went on to be used, to mention some of the most notable cases, in Euler’s derivation of the laws of hydrodynamics, in the development of analytical mechanics by Euler, Lagrange and Hamilton an...

The whole theoretical framework of physics rests only on a few but profound principles. Wigner enlightened us by elucidating that \It is now natural for us to try to derive the laws of nature and to test their validity by means of the laws of invariance, rather than to derive the laws of in-variance from what we believe to be the laws of nature." Issues pertaining to symmetry, invari-ance princ...

In this paper I discuss and evaluate different arguments for the view that the laws of nature are metaphysically necessary. I conclude that essentialist arguments from the nature of natural kinds fail to establish that essences are ontologically more basic than laws, and fail to offer an a priori argument for the necessity of all causal laws. Similar considerations carry across to the argument ...

Compared to standard numerical methods for hyperbolic systems of conservation laws, Kinetic Schemes model propagation of information by particles instead of waves. In this article, the wave and the particle concept are shown to be closely related. Moreover, a general approach to the construction of Kinetic Schemes for hyperbolic conservation laws is given which summarizes several approaches dis...