aBy the principle of virtual work, a system of rigid wedges is in an equilibrium state if the virtual work done by all external loads is equal to the internal energy dissipated for the virtual displacements of the system consistent with the constraints. 由虚功原理,如果所有外在装载完成的真正工作...
as well as bounds that incorporate the temperature and Hamiltonian of the system (Theorem 7) and discuss extensions to more general scenarios. These bounds are shown to be tighter than other bounds such as those that come from mana and thauma (Fig.1). ...
Here we concentrate on the various applications of machine learning in solid-state materials science (especially the most recent ones) and discuss and analyze them in detail. As a starting point, we provide an introduction to machine learning, and in particular to machine learning principles, algor...
“far-field” type of drag assessment based on application of the momentum theorem is to be preferred over a “near-field” type of procedure (pressure and skin friction integration),both for reasons of accuracy as well asfor the purpose of identifymgthe viscous, induced (vortex) and shock-...
This time varies depending on the type of fuel cell and its power. Therefore, it is necessary to use fuel cells with an auxiliary energy source, such as a battery or a capacitor cloud. When a fuel cell is connected directly to an external load, its output power depends on the internal ...
protein systems are first divided into a molecule and a molecular environment, whereby the environment can be treated using a force field method or even DFT method, the central region is divided into many fragments, and the energy of each fragment is described using the method in this work. ...
At first I will give complete definitions, state and prove simple lemmas, etc., in order to establish common language. As time progresses I expect that things will become a little more high-level, less self-contained, and more technical. Depending on your background and interests, you may ...
Mathematical work on nonlinear Choquard equations like the above has been investigated in recent years, and the existence and multiplicity results for such type equations have been considered in many papers under some different assumptions on the potential and nonlinearity by using various variational arg...
energy theorem. As the core of stress-free-state theory, the two aforementioned equations demonstrate following principles, 1) when the stress-free-state variable of a structural element is set, the internal force and deformation of the element are unique at the completion state of the structure...
To prove this, we consider a pancake-shaped trap characterized by a tight harmonic potential of frequency ωz along the z-axis and a softer harmonic poten- tial of frequency ω⊥ in the transverse direction. A polarizing external electric or magnetic 18 Figure 1.1: The interaction between two...