Abstract The Jánossy density for a determinantal point process is the probability that an interval $I$ contains exactly $p$ points except those at $k$ designated loci. associated with integrable kernel $\mathbf{K}\doteq (\varphi(x)\psi(y)-\psi(x)\varphi(y))/(x-y)$ shown to be expressed as Fredholm determinant $\mathrm{Det}(\mathbb{I}-\tilde{\mathbf{K}}|_I)$ of transformed $\tilde{\mathbf{K}}\do...

Constant-psi constant-delta contour maps in the reduced angle-of-incidence-film-thickness plane that are useful in ellipsometry and in design of reflection-type optical devices are discussed. As a specific example, a contour map is given for the SiO(2)-Si film-substrate system at the 6328-A He-Ne laser wavelength.

The present study investigated the effects of a series 10 whole-body cryostimulation (WBC) sessions (3 min; −110 °C) on physiological and thermal responses to submaximal exercise test in 17 elite athletes. Participants performed an twice at similar levels intensity before after ten WBC sessions. Before during test, each participant’s oxygen uptake (VO2), heart rate (HR), internal temperature (T...

Road and rail networks provide critical support for society, yet they can be degraded by seasonal soil movements. Currently, few transport network operators monitor small-scale soil movement, but understanding the conditions contributing to infrastructure failure can improve network resilience. Persistent Scatterers Interferometry (PSI) is a remote sensing technique offering the potential for n...

We propose a numerical algorithm for the approximate computation of coefficients standardized Riemann map complement Mandelbrot set. Let $ f_c(z) = z^2+c be standard representation quadratic family and \mathcal{M} set \Psi : \overline{ \mathbb{C}}\setminus \mathbb{D}(0, 1)} \rightarrow \mathbb{C}} \setminus is normalized map. In introduced approach, we start with Fourier transform given formula...

The Cigler simple derivation of the q-Carlitz-Dobinski formula is recalled and it is noticed that the formula may be interpreted as the average of powers of random variable X q with the q-Poisson distribution. In parallel new q-Cigler-Dobinski and psi-Carlitz-Dobinski formulas are introduced. At first let us anticipate with ψ-remark. ψ denotes an extension of 1 n! n≥0 sequence to quite arbitrar...

This paper proposes a novel technique for constructing a neuroanatomical shape complex atlas using an information geometry framework. A shape complex is a collection of shapes in a local neighborhood. We represent the boundary of the entire shape complex using the zero level set of a distance function S(x). The spatial relations between the different anatomical structures constituting the shape...

We describe a new segmentation method of dynamic nuclear medicine images based on the cross-Psi(B)-energy operator. Psi(B) is a nonlinear measure which quantifies the interaction between two time-signals including their first and second derivatives. Similarity measure, noted SimilB, between the time activity curve (TAC) of each pixel and the mean value of the TACs of a reference region of the s...

Methods based on the neural network techniques are among the most accurate in the secondary structure prediction of globular proteins. Here the same principles have been used for the tertiary structure prediction problem. The map of dihedral phi and psi angles is divided into 10 by 10 squares each spanning 36 by 36 degrees. By predicting the classification of each residue in the protein chain i...