The evolution of population dynamics in a stochastic environment is analysed under a general form of density-dependence with genetic variation in r and K, the intrinsic rate of increase and carrying capacity in the average environment, and in sigma(e)(2), the environmental variance of population growth rate. The continuous-time model assumes a large population size and a stationary distribution...

The frequency of theta activity may be important for hippocampal function. Anxiolytic drugs reduce theta frequency and have behavioral effects that are similar to those of hippocampal lesions. The effect of the anxiolytic benzodiazepine chlordiazepoxide (CDP) on theta frequency is partially mediated by the medial supramammillary nucleus (mSuM), part of an ascending theta-activating system. Rats...

Tke theta function of a sphere packing gives the number of centers at each distance from the origin. The theta functions of a number of important packings (An, D, , E,, the Leech lattice, and others) and tables of the first fifty or so of their coefficients are given in this paper.

We study special cycles on integral models of Shimura varieties associated with unitary similitude groups of signature (n−1, 1). We construct an arithmetic theta lift from harmonic Maass forms of weight 2 − n to the arithmetic Chow group of the integral model of a unitary Shimura variety, by associating to a harmonic Maass form f a linear combination of Kudla– Rapoport divisors, equipped with t...

Let $$\Omega _+$$ be either the open unit disc or upper half plane right plane. In this paper, we compute norm of basic operator $$A_\alpha =\Pi _\Theta T_{b_\alpha }|_{\mathcal {H}(\Theta )}$$ in vector valued model space $$\mathcal )=H^m_2 \ominus \Theta H^m_2$$ associated with an $$m\times m$$ matrix inner function $$\Theta $$ and show that is attained. Here $$\Pi denotes orthogonal projecti...

We present a calculation of the contribution $\Theta$-term to neutron and proton electric dipole moments using seven 2+1+1-flavor HISQ ensembles. also estimate topological susceptibility for 2+1+1 theory be $\chi_Q = (66(9)(4) \rm MeV)^4$ in continuum limit at $M_\pi 135$ MeV. The nucleon three-point function is done Wilson-clover valence quarks. CP-violating form factor $F_3$ calculated by exp...

We report a human electrophysiological brain state that predicts successful memory for events before they occur. Using magnetoencephalographic recordings of brain activity during episodic memory encoding, we show that amplitudes of theta oscillations shortly preceding the onsets of words were higher for later-recalled than for later-forgotten words. Furthermore, single-trial analyses revealed t...

Kinetics of the deposition process of k -mers in the presence of desorption or/and diffusional relaxation of particles is studied by Monte Carlo method on a one-dimensional lattice. For reversible deposition of k-mers, we find that after the initial "jamming," a stretched exponential growth of the coverage theta(t) toward the steady-state value theta(eq) occurs, i.e., theta(eq)-theta(t) is prop...

There are several statements equivalent to the famous Riemann hypothesis. In 2011, Solé and Planat stated that hypothesis is true if only inequality \(\zeta(2) \cdot \prod_{q\leq q_{n}} (1+\frac{1}{q}) > e^{\gamma} \log \theta(q_{n})\) holds for all prime numbers \(q_{n}> 3\), where \(\theta(x)\) Chebyshev function, \(\gamma \approx 0.57721\) Euler-Mascheroni constant, \(\zeta(x)\) zeta f...