The latter is an especially attractive characterization of the nth central binomial coefficient. Contrast this with the nth central trinomial coefficient, B(n), defined to be the largest coefficient of the polynomial (1 + x + x). There is no simple closed-form expression for B(n) [2]. It possesses recursion (n+ 1)B(n+ 1) = (2n+ 1)B(n) + 3nB(n− 1), B(0) = B(1) = 1 and asymptotics B(n) ∼ r 3 4π n...

Introduction: Most common glioma tumors are tumors of the central nervous system (CNS) which are the cause of about 40 to 50 percent of brain tumors. This type of cancer includes 2 to 3 percent of cancers in the world. Conventional MRI is powerless in the detection and differentiation of benign and malignant tumors. In this case, diffusion weighted imaging (DWI) can create cont...

background diffusion-weighted imaging (dwi) is a form of magnetic resonance imaging (mri) based on measuring the random brownian motion of water molecules within the biological tissues and is particularly useful in tumor characterization. objectives the purpose of this study was to evaluate the diagnostic value of dw mri and the apparent diffusion coefficient (adc) for preoperative grading of a...

Accurate knowledge of molecular diffusion coeffi· cients and their temperature dependence is important in obtaining fundamental information on forces be· tween unlike molecules. Until recently most diffusion measurements were conducted over short temperature intervals because the conventional methods such as the Loschmidt or the Stefan, require the thermostating of large, static systems. Walker...

background: this study sought to assess symphyseal morphology in adolescents with different mandibular growth patterns (mgps) in order to see if a relation exists. materials and methods: in this study the symphyseal parameters (height, depth, and ratio) of normal subjects were compared with four groups with malocclusion (cl iii vertical, cl ii vertical, cl iii horizontal, and cl ii horizontal)....