Based on the equilibrium, continuity and energy principles of the multi-phase porous medium, the heat-moisture-deformation (HMD) coupling model is established for the frozen soil foundation in this paper, with the consideration of the force interaction between the soil skeleton and ice particle, and the energy jump behaviors during the phase-changing between ice and water.
Continuity and the bar principle are sometimes captured in one axiom called the bar continuity axiom.
In this chapter, by applying mass balance, continuity, and bioprocess modeling principles, steady-state models that describe quantitatively the behavior of these three organism groups are developed and the experimental data on which these models are based are described.
Brouwer used Bar Induction and the Continuity Principle in proving his Continuity Theorem that every real-valued function defined on a closed interval is uniformly continuous, from which, as has already been observed, it follows that the intuitionistic continuum is indecomposable.
Indeed, these presuppositions have been confirmed by the general theory: They are spatiality and temporality as "unintuitive schema of order" in general (as distinct from any particular chronometrical relations), the law of causality and presupposition of continuity, the principle of sufficient reason, and the conservation laws.
Similar to the InGaN p-n junction top cell, the first-principles continuity and Poisson's equations are combined to analyze the transport behavior of the Si bottom cell [3, 18].
Similar to the InGaN p-n junction solar cell in our previous study, the first-principles continuity and Poisson's equations are combined to analyze the transport behavior of the InGaN top cell and Si bottom cell [3, 18].
What we have done in 3 above is rather to set out necessary conditions for physical possibility which are plausible (such as the principle of continuity) and sufficient conditions for physical impossibility which are likewise plausible (such as Grünbaum's criterion of kinematical impossibility).
This idea was later utilized by Pascal, Leibniz, Monge, and Poncelet, among others, and became known as geometric continuity and as the Law or Principle of Continuity.
Empirical models of both mechanical actuation of industrial PAM and chemical reaction of the metal hydride-LaNi5 are derived systematically where their interactions comply with the continuity principle and energy balance in describing actual dynamic behaviors of the PAM actuator (PAM and hydriding/dehydriding-reaction bed).
