Introduction: The central-governor model explains the mechanism of endurance exercise-induced central fatigue, but high-intensity exercise-induced central fatigue has not been investigated yet. This study aimed to research how central fatigue during high-intensity intermittent pedaling alters the neural response, which results in electroencephalography (EEG) recordings. Methods: We assessed ne...

A partial theta series identity from Ramanujan’s lost notebook has a connection with some parity problems in partitions studied by Andrews in [3], where 15 open problems are listed. In this paper, the partial theta series identity of Ramanujan is revisited and answers to Questions 9 and 10 of Andrews are provided.

— We study a class of polyhedral functions called cone theta functions, which are closely related to classical theta functions. Each polyhedral cone K ⊂ Rd has an associated cone theta function, and we show that they encode information about the rationality of the spherical volume of K. We show that if K is a Weyl chamber for any finite Weyl group, then its cone theta function lies in a graded ...

We investigate existence and properties of discrete mixture representations $P_{\theta }=\sum _{i\in E}w_{\theta }(i)\,Q_{i}$ for a given family }$, $\theta \in \Theta $, probability measures. The noncentral chi-squared distributions provide classical example. obtain results about geometric statistical aspects the problem, latter including loss Fisher information, Rao-Blackwellization, asymptot...

s The two dimensional CP 1 model with θ term is simulated. We compute the topological charge distribution P (Q) by employing the “set method” and “trial function method”, which are effective in the calculations for very wide range of Q and large volume. The distribution P (Q) shows the Gaussian behavior in the small β (inverse coupling constant) region and deviates from it in the large β region...

The paper proposes a sequential estimator theta of the parameter theta of an exponential distribution when the data are censored. It is shown that theta is asymptotically risk efficient when the loss is measured by the squared error of estimation of theta plus a linear function of the number of observations and that theta is asymptotically normal as the cost per observation goes to zero.

The snail Helix nemoralis in negatively geotropic creeping orients upward upon an inclined surface until the angle of the path of progression (theta) is related to the tilt of the surface (alpha) as (Delta sin theta) (Delta sin alpha) = - const.; theta is very nearly a rectilinear function of log sin alpha. The precision of orientation (P.E.(theta)) declines in proportion to increasing sin alph...

We consider the highly oscillatory integral F ( w ) : = ∫ − ∞ e i t K + 2 θ p g d $F(w):=\int _{-\infty }^\infty e^{iw(t^{K+2}+e^{i\theta }t^p)}g(t)dt$ for large positive values of w, π < ≤ $-\pi <\theta \le \pi$ , and integers with 1 $1\le p\le K$ $g(t)$ an entire function. The standard saddle point method is complicated we use here a simplified version this introduced by López et al. derive a...

Temporal coding is a means of representing information by the time, as opposed to the rate, at which neurons fire. Evidence of temporal coding in the hippocampus comes from place cells, whose spike times relative to theta oscillations reflect a rat’s position while running along stereotyped trajectories. This arises from the backwards shift in cell firing relative to local theta oscillations (p...

In this paper we first give alternative proofs of two Ramanujan’s theta function identities. Then we derive several explicit evaluations for ratios of Ramanujan’s theta function φ(q). Mathematics Subject Classification: 11A55, 11F20, 11F27