Dark matter (DM) with a mass below few keV must have phase space distribution that differs substantially from the Standard Model particle thermal space: otherwise, it will free stream out of cosmic structures as they form. We observe fermionic DM $\ensuremath{\psi}$ in this range non-negligible momentum early Universe, even total absence kinetic energy. This is because fermions were inevitably ...

A closed subspace V of L 2 := L 2 (IR d) is called PSI (principal shift-invariant) if it is the smallest space that contains all the shifts (i.e., integer translates) of some function 2 L 2. Ideally, each function f in such PSI V can be written uniquely as a convergent series f = X 2ZZ d c()(?) with kck`2 kfk L 2. In this case one says that the shifts of form a Riesz basis or that they are L 2-...

Transferred nuclear Overhauser enhancement spectroscopy (TRNOE) was used to observe changes in a ligand's conformation upon binding to its specific antibody. The ligands studied were methyl O-beta-D-galactopyranosyl(1----6)-4-deoxy-4-fluoro-beta-D-galactopyra nos ide (me4FGal2) and its selectively deuteriated analogue, methyl O-beta-D-galactopyranosyl(1----6)-4-deoxy-2-deuterio-4-fluoro-beta -D...

It is of theoretical as well as practical interest to identify the components of the photosynthetic machinery that govern variability in photosynthesis rate (A) and water-use efficiency (WUE), and to define the extent by which the component processes limit A and WUE during developing water-deficit stress. For that purpose, leaf exchange of CO(2) and H(2)O was determined in two growth-chamber-gr...

We provide an overview of the design of PSI (“a Private data Sharing Interface”), a system we are developing to enable researchers in the social sciences and other fields to share and explore privacy-sensitive datasets with the strong privacy protections of differential privacy. ∗This work is part of the “Privacy Tools for Sharing Research Data” project at Harvard, supported by NSF grant CNS-12...

In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interior-point methods (IPMs). We define a new proximity function for the SDO by a new kernel function. Furthermore we formulate an algorithm for a primal dual interior-point method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we sho...

We show that a weighted manifold which admits relative Faber Krahn inequality the Fefferman Phong V $\psi$, $\psi$ $\le$ CV 2 , with constant depending on Morrey norm of and we deduce from it condition for L Hardy to holds, as well conditions Schr{\"o}dinger operators be positive. also obtain an estimate bottom spectrum operators.

We revisit the Lee-Friedrichs model as a of atomic resonances in hydrogen atom, using dipole-moment matrix-element functions which have been exactly computed by Nussenzveig. The Hamiltonian H is positive and has absolutely continuous spectrum. Although return probability amplitude $$R_{\Psi }(t) = (\Psi , \exp (-iHt) \Psi )$$ initial state $$\Psi $$ taken so-called Weisskopf–Wigner (W.W.) state...