Treatment methods for breast cancer are not specific and each one has its own drawbacks. For this reason, scientists are seeking ways in which specifically affect cancer cells. Photothermal therapy is a method that uses near-infrared (NIR) laser energy to create sufficient heat to destroy cancer cells. In this study, the photothermal effect of gold nanorods (GNRs) was investigated for breast ca...

accurate calculation of reliability index is very important for the reliability analysis of structures. in some limit state functions with nonlinear characteristic and several local optimum design points, the computational reliability methods may not appropriately determine the failure probability, and iterative reliability approaches may be converged to local optimum design points. in this pap...

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...

A method is presented to characterize general sound-absorbing materials through a pole-based identification of the equivalent fluid. This accomplished by 1) determining extended fluid material sample transfer function (TFM), 2) acoustic response poles effective density and compressibility, 3) build compressibility from associated local response. Real pole pairs describe dissipative medium (or e...

Let B(X) be the algebra of all bounded linear operators on the Banach space X, and let N (X) be the set of nilpotent operators in B(X). Suppose φ : B(X)→ B(X) is a surjective map such that A,B ∈ B(X) satisfy AB ∈ N (X) if and only if φ(A)φ(B) ∈ N (X). If X is infinite dimensional, then there exists a map f : B(X)→ C \ {0} such that one of the following holds: (a) There is a bijective bounded li...

Low-rank matrix factorization problems such as non negative (NMF) can be categorized a clustering or dimension reduction technique. The latter denotes techniques designed to find representations of some high dimensional dataset in lower manifold without significant loss information. If representation exists, the features ought contain most relevant dataset. Many linear dimensionality formulated...

For simplicity, we adopt the following rules: a, b, x, y, z, X, Y , Z denote sets, n denotes a natural number, i denotes an integer, r, r1, r2, r3, s denote real numbers, c, c1, c2 denote complex numbers, and p denotes a point of En T. Let us observe that every element of IQ is irrational. Next we state a number of propositions: (1) If 0 ≤ r and 0 ≤ s and r2 = s2, then r = s. (2) If frac r ≥ fr...

We developed a fast numerical method for complex symmetric shifted linear systems, which is motivated by the quantum-mechanical (electronicstructure) theory in nanoscale materials. The method is named shifted Conjugate Orthogonal Conjugate Gradient (shifted COCG) method. The formulation is given and several numerical aspects are discussed.