Let (g,K)(k) be a CMC (vacuum) Einstein flow over a compact three-manifold Σ with non-positive Yamabe invariant (Y (Σ)). As noted by Fischer and Moncrief, the reduced volume V(k) = (−k 3 )V olg(k)(Σ) is monotonically decreasing in the expanding direction and bounded below by Vinf = (−1 6 Y (Σ)) 3 2 . Inspired by this fact we define the ground state of the manifold Σ as “the limit” of any sequen...

In this article the electron is conceived as an extended particle, consisting of a negatively charged core (-q0) which surrounded by cloud electric dipoles (-q, +q). The presents illustrations that show how and why spins radiates in external field. appendices, Bremsstrahlung & Cerenkov radiations, processes Emission Absorption photons will be discussed.

A phenomenological ansatz for the flavor–asymmetry of the light sea distributions of the nucleon, based on the Pauli exclusion principle, is proposed. This ansatz is compatible with the measured flavor–asymmetry of the unpolarized sea distributions, d̄ > ū, of the nucleon. A prediction for the corresponding polarized flavor–asymmetry is presented and shown to agree with predictions of (chiral qu...

The studies of multiplicity fluctuations in restricted domains of the phase space reveal the nature of particle correlations and are sensitive to the dynamics of the underlying process. The hadronic final state in DIS is a result of a hard partonic scattering at a large momentum transfersQ ≫ Λ. A subsequent parton cascade development down to some QCD cut-off Q0 and fragmentation occuring at sma...

To describe the log-likelihood computation in our model, let us consider a two scale pyramid for the moment. Given a (vectorized) j × j image I , denote by l = d(I) the coarsened image, and h = I − u(d(I)) to be the high pass. In this section, to simplify the computations, we use a slightly different u operator than the one used to generate the images displayed in Figure 3 of the paper. Namely,...

Measurements at the prototype cavity were performed at the FZJ Jülich in order to support the design work of the SC accelerator part for the European Spallation Source (ESS) [1]. A shielded test facility has been constructed providing 25kW peak RF power operating at 500MHz [2]. The test cavity has been fabricated at ACCEL Instruments and was installed into the shielded area. This 5-cell cavity ...

This is an example of what is called a nondeterministic finite automaton (NFA). Intuitvely, such a machine could have many possible computations on a given input. For example, on an input of the form u001v, it is possible for the machine to reach the accepting state qp by transitioning from q to q0 after reading u. Similarly, it is possible for the machine to reach qp also on the input u01v — f...

This paper studies Frobenius powers of parameter ideals in a commutative Noetherian local ring R of prime characteristic p. For a given ideal a of R, there is a power Q of p, depending on a, such that the Q-th Frobenius power of the Frobenius closure of a is equal to the Q-th Frobenius power of a. The paper addresses the question as to whether there exists a uniform Q0 which ‘works’ in this con...

Molecular dynamics simulations employing reactive potentials were used to determine the activation barriers to the dissolution of the amorphous SiO2 surface in the presence of a 2 nm overlayer of water. The potential of mean force calculations of the reactions of water molecules with 15 different starting Q4 sites (Qi is the Si site with i bridging oxygen neighbors) to eventually form the disso...

In this paper, we consider the conditional regularity of weak solution to 3D Navier–Stokes equations. More precisely, prove that if one directional derivative velocity, say ?3u, satisfies ?3u?Lp0,1(0,T;Lq0(R3)) with 2p0+3q0=2 and 32<q0<+?, then is regular on (0,T]. The proof based new local energy estimates introduced by Chae-Wolf (2019) [4] Wang-Wu-Zhang (2020) [21].