The Two Point Angular Correlation Function (TPACF) is a mathematical equation that has applications in many areas. In our project, the Two Point Angular Correlation Function is used as a way to measure the probability of finding an astronomical body at a given angular distance from another astronomical body. We were given working sequential code as a starting point. The sequential code took in ...

The pair-correlation function g2(r) describes short-range order in many-particle systems. It must obey two necessary conditions: ~i! non-negativity for all distances r, and ~ii! non-negativity of its associated structure factor S(k) for all k. For the elementary unit step-function g2 form, previous work @F. H. Stillinger, S. Torquato, J. M. Eroles, and T. M. Truskett, J. Phys. Chem. B 105, 6592...

The two point angular correlation function is an excellent measure of structure in the universe. To extract from it the three dimensional power spectrum, one must invert Limber’s Equation. Here we perform this inversion using a Bayesian prior constraining the smoothness of the power spectrum. Among other virtues, this technique allows for the possibility that the estimates of the angular correl...

the dependence of some thermodynamic properties of spin-polarized liquid 3he such as velocity of sound, adiabatic index, isentropic compressibility and temperature on the spin polarization has been investigated along different isentropic paths. the lennard-jones potential has been used in our calculations. it has been found that for higher values of entropy, the spin polarization has greater ef...

Room reverberation is typically the main obstacle for designing robust microphone-based source localization systems. The purpose of the paper is to analyze the achievable performance of acoustical source localization methods when room reverberation is present. To facilitate the analysis, we apply well known results from room acoustics to develop a simple but useful statistical model for the roo...

The focus of this correspondence is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on some of the most important nonlinearity criteria, including nonlinearity, avalanche, and correlation immunity, and prove th...

there are many real problems in which multiple responses should be optimized simultaneously by setting of process variables. one of the common approaches for optimization of multi-response problems is desirability function. in most real cases, there is a correlation structure between responses so ignoring the correlation may lead to mistake results. hence, in this paper a robust approach based ...

BACKGROUND Internal motions enable proteins to explore a range of conformations, even in the vicinity of native state. The role of conformational fluctuations in the designated function of a protein is widely debated. Emerging evidence suggests that sub-groups within the range of conformations (or sub-states) contain properties that may be functionally relevant. However, low populations in thes...