Fa c u l t y M e n t o r T h e U C I U n d e r g r a d u a t e R e s e a r c h J o u r n a l Key Terms: ♦ Absolute Absorption Coefficient (μα) ♦ Frequency-Domain Photon Migration (FDPM) ♦ Photon Density Waves (PDW) ♦ Reduced Scattering Coefficient (μσ) ♦ Standard Diffusion Equation Non-Invasive Characterization of Breast Cancer Using Near Infrared Optical Spectroscopy

While counting lattice points in octahedra of different dimensions n and m, it is an interesting question to ask, how many octahedra exist containing equally many such points. This gives rise to the Diophantine equation Pn(x) = Pm(y) in rational integers x, y, where {Pk(x)} denote special Meixner polynomials {M (β,c) k (x)} with β = 1, c = −1. We join the purely algebraic criterion of Y. Bilu a...

A probability distribution p is Markovian wrt an AMP CG G iff the following three properties hold for all C ∈ Cc(G) (Andersson et al., 2001, Theorem 2): ● C1: C⊥pNdG(C) ∖CcG(PaG(C))∣CcG(PaG(C)). ● C2: p(C ∣CcG(PaG(C))) is Markovian wrt GC . ● C3∗: For all D ⊆ C, D⊥pCcG(PaG(C)) ∖ PaG(D)∣PaG(D). Lemma 1. C1, C2 and C3∗ hold iff the following two properties hold: ● C1∗: For all D ⊆ C, D⊥pNdG(D) ∖ ...

A revised analysis of the effect of long-range nonspherical terms in the intermolecular potential on the second virial coefficient is presented with a preferred Hartree-Fock-Dispersion functional (HFD-C) spherical core treatment of the integrations for small intermolecular distances. A set of modified numerical tables for the accurate calculation of the nonspherical contribution to the sec...

The articles [9], [1], [3], [4], [6], [5], [2], [7], and [8] provide the notation and terminology for this paper. We use the following convention: q, r, c, c1, c2, c3 are quaternion numbers and x1, x2, x3, x4, y1, y2, y3, y4 are elements of R. 0H is an element of H. 1H is an element of H. Next we state several propositions: (1) For all real numbers x, y, z, w holds 〈x, y, z, w〉H = x+y · i+ z · ...

in this study, a temperature-dependent of the dispersion coefficients is calculated from equation state.the lennard-jones lj (12-6-3) effective pair potential function and simple thermodynamic argumentwith the input pvt data of liquid metals are used to calculate the dispersion coefficients. the dispersioncoefficients ( , , ) 3 6 12 c c c are found to be a linear function of 1/t1+α , where t is...

The CCC method was developed initially [1,2] to describe scattering of electrons from one-electron targets. The method made use of Laguerre basis states that are are L functions to discretize the target continuum. The method provided convergent amplitudes for scattering to low–lying discrete states and total–ionization cross– sections. The theory is fully symmetrized since it is based on a symm...

background: gastric cancer (gc) is the fifth common malignant disease and the third leading cause of cancer-related mortality in the world. ardabil, a northwestern province of iran, includes the highest rate of gc within the country. helicobacter pylori (h. pylori) vaca gene plays a major role in generating and maintaining the gastric inflammatory response , which alters the enteric nervous sys...