Instead, as explained in my Eighth Theorem of Government, they simply use poor people as props so they can expand the size and scope of the welfare state. Second, I sometimes speculate that our friends on the left are more motivated by a disdain for the rich than they are by any desire...
This work discusses some rigorous analytical results for resonant states. It will be mainly concerned with full discrete resonant expansions, i.e., the second class of expansions mentioned above. We shall restrict the discussion to coherent (elastic) processes in one (1D) and three (3D) dimensio...
The mixed-state inverse engineering scheme is a control scheme used for engineering the quantum state of a driven open quantum system from an initial steady state to a final steady state. In this paper, we present an analytical study of this scheme appli
Here, we will work through the steps to explain why the eigenvector associated with the largest eigenvalue allows us to determine the stable distribution of individuals across stage classes. Suppose that A is a projection matrix that meets the assumptions of the Perron-Frobenius theorem and that ...
Furthermore, we show here that the eigenvalue estimate can be used to obtain the 2nd order term (which is of order $ln\\Gamma$) of the lower bound of the ground state energy as the coefficient $\\Gamma$ of the nonlinear term tends to infinity.Lin, Tai-Chia; Belic, Milivoj R; ...
(TRIM) points and reciprocal lattice vectors labeled. By virtue of inversion symmetry and TRS, all bands are doubly degenerate in the BZ due to Kramers theorem. The bands of interest arise by hybridization from Rhdand Biporbitals. From the small but finite density of states (DOS) atEFin ...
elasticity theory, strongly anisotropic materials, Lavrentiev’s phenomenon, and so on (see [2–5]). The study on double-phase problems attracts more and more interest in recent years, and many results have been obtained [1,6–10]. More precisely, the research is related to the energy ...
With the Lagrange multiplier Theorem, they concluded that ū(x) := ŵ(x/tŵ) with tw^=N−22N∥∇w^∥2 is a least energy solution of (1.3). By noting the one-to-one correspondence between 𝓢 and 𝓜∞, Jeanjean-Tanaka [6] proved that ū is also a ground state solution ...
The most widespread class of TD-DFT implementation is a linear-response approach [36]. It is noteworthy that the linear response approach directly provides the transition energy rather than the total energies of the ground and excited states. This implies that the excited states themselves are not...
Apart from that, a major drawback of these processors was the inability to scale to different workload intensities. There was little difference between phases of complete idleness and high load as all CPU parts were active. Especially the constraints in energy consumption imposed by the advent of...