Abstract We prove a Central Limit Theorem for the critical points of random spherical harmonics, in high-energy limit. The result is consequence deeper characterization total number points, which are shown to be asymptotically fully correlated with sample trispectrum, i.e. integral fourth Hermite polynomial evaluated on eigenfunctions themselves. As consequence, and nodal length

Breast cancers expressing human embryonic stem cell (hESC)-associated genes are more likely to progress than well-differentiated cancers and are thus associated with poor patient prognosis. Elevated proliferation and evasion of growth control are similarly associated with disease progression, and are classical hallmarks of cancer. In the current study we demonstrate that the hESC-associated fac...

In this paper, we consider the inverse nodal problem for conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition. We obtain asymptotics eigenvalues, eigenfunctions, and zeros of eigenfunctions (called points or nodes) considered operator, provide a constructive procedure solving problem, i.e., reconstruct potential functions p(x) q(...

This paper presents a new compact approximation method for the discretisation of second-order elliptic equations in one and two dimensions. The problem domain, which can be rectangular or non-rectangular, is represented by a Cartesian grid. On stencils, which are three nodal points for one-dimensional problems and nine nodal points for twodimensional problems, the approximations for the field v...

The statistics of the nodal lines and nodal domains of the eigenfunctions of quantum billiards have recently been observed to be fingerprints of the chaoticity of the underlying classical motion by Blum et al These statistics were shown to be computable from the random wave model of the eigenfunctions. We here study the analogous problem for chaotic maps whose phase space is the two-torus. We s...

BACKGROUND In lymphoscintigraphies of the head and neck, multiple injections around a tumor result in variable drainage to multiple nodal basins. We undertook this study in healthy subjects to test whether single injections at specified points in the auricle display single predictable pathways and predict visualization of parotid sentinel lymph nodes (SLNs). METHODS Twenty-five healthy subjec...

The methodology presented in this paper, for the correspondence (matching) of two images objects nodal points, was previously developed and basically it consists in the construction of a matrix that relates the two objects nodal points, based in 1) geometric or 2) physical modelling. In the referred methodology, the matching is done by using a local search. To overcome this disadvantage, an app...

The well-known complex variable boundary element method (CVBEM) is extended for using collocation points not located at the usual boundary nodal point locations. In this work, several advancements to the implementation of the CVBEM are presented. The first advancement is enabling the CVBEM nodes to vary in location, impacting the modeling accuracy depending on chosen node locations. A second ad...

Received August 2, 2016 Revised October 7, 2016 Accepted November 1, 2016 Eigen faces (PCA) approach for face recognition. The face is an important part of which you are how people identify you. In face recognition there are two types of comparisons verification and identification. There are about 80 nodal points on a human face here are few nodal points that are measured by software that are d...

In this paper, we consider the inverse nodal problem for a quadratic pencil of Sturm$-$Liouville equations with parameter-dependent Bitsadze$-$Samarskii type nonlocal boundary condition and give an algorithm reconstruction potential functions by obtaining asymptotics points.