We discuss the derivation of the path integral representation over gauge degrees of freedom for Wilson loops in SU(N) gauge theory and 4-dimensional Euclidean space-time by using well-known properties of group characters. A discretized form of the...
We derive Griffith functionals in the framework of linearized elasticity from nonlinear and frame indifferent energies in brittle fracture via Gamma-convergence. The convergence is given in terms of rescaled displacement fields measuring the distance...
The Gottesman-Knill theorem established that stabilizer states and operations can be efficiently simulated classically. For qudits with dimension three and greater, stabilizer states and Clifford operations have been found to correspond to positive d...
I'm aware of ÑÑл's derivation from Proto-Slavic *xÑdlÑ, related to Ñ Ð¾Ð´Ð¸ÑÑ, but that form still seems irregular â given that вÑл, which has the exact same relation to водиÑÑ, had e rather than Ñ in ...
For over a century the definitions of mass and derivations of its relation with energy continue to be elaborated, demonstrating that the concept of mass is still not satisfactorily understood. The aim of this study is to show that, starting from the...
In the present course, an overview is presented of the fundamentals of continuum-polaron physics, which provide the basis of the analysis of polaron effects in ionic crystals and polar semiconductors. These Lecture Notes deal with "large", or "contin...
We develop an analytical formalism that is suitable for studying inhomogeneous structure formation, by studying the joint statistics of dark matter halos forming at two points. Extending the Bond et al. (1991) derivation of the mass function of vir...
It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4--vector scalar products. This implies the existence of invariant length intervals analogous to invariant proper...
Retarded electromagnetic potentials are derived from Maxwell's equations and the Lorenz condition. The difference found between these potentials and the conventional Liénard-Wiechert ones is explained by neglect, for the latter, of the motion-depend...
We reconsider the recent derivation by de Rafael and Taron of bounds on the slope of the Isgur-Wise function. We argue that one must be careful to include cuts starting below the heavy meson pair production threshold, arising from heavy quark-antiq...
Jared is a given name of Biblical derivation. In the Book of Genesis, the biblical patriarch Jared (יֶרֶד) was the sixth in the ten pre-flood generations
What is the etymology of the adjective serviced? serviced is formed within English, by derivation. Etymons: service n.1, ‑ed suffix2; service v., ‑ed suffix1.
We present formulas for the (raw and central) moments and absolute moments of the normal distribution. We note that these results are not new, yet many textbooks miss out on at least some of them. Hence, we believe that it is worthwhile to collect these formul…
Time-frequency (TF) representations based on minimum mean cross-entropy (MMCE) solution, Bessel kernel, and generalized marginal page distribution are used as the input of clustering. It is shown that general trends of frequency changed with time are not the s…