The focal points of a curve traced by a planar linkage capture essential information about the curve. Knowledge of the singular foci can be helpful in the design of path-generating linkages and is essential to the determination of path cognates. This paper shows how to determine the singular foci of planar linkages built with rotational links. The method makes use of a general formulation of th...

Background Quantitative myocardial T1 mapping allows assessment of focal and diffuse fibrosis in the myocardium, by sampling the T1 relaxation curve using inversion [1] or saturation recovery (SR) preparation [2] or a combination of both [3], followed by the acquisition of multiple images with different contrasts, which are subsequently fitted to a parametric equation pixel-wise to yield the T1...

Kirsch’s factorization method is a fast inversion technique for visualizing the profile of a scatterer from measurements of the far-field pattern. The mathematical basis of this method is given by the far-field equation, which is a Fredholm integral equation of the first kind in which the data function is a known analytic function and the integral kernel is the measured (and therefore noisy) fa...

Purpose: To establish the possibility of using indicator inversion difference in yield curve 10-year and 2-year US Treasury bonds to determine current phase stock market, predict future direction market movement improve efficiency managerial investment decisions.
 Design/Method/Approach: The following methods were used when writing paper: empirical – carry out experimental checks revealed ...

We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y 4 = x 5 + λ 4 x 4 + λ 3 x 3 + λ 2 x 2 + λ 1 x + λ 0. We construct Abelian functions using the multivariate σ-function associated to the curve, generalising the theory of the Weierstrass ℘-function. We demonstrate that such functions can give a solution to the KP-equa...

Here in, an application of a new seismic inversion algorithm in one of Iran’s oilfields is described. Stochastic (geostatistical) seismic inversion, as a complementary method to deterministic inversion, is perceived as contribution combination of geostatistics and seismic inversion algorithm. This method integrates information from different data sources with different scales, as prior informat...

in this paper, we studied effect of different parameters including density, viscosity, interfacial tension and solute transfer concentration on phase inversion hold-up. the results showed that change in phase density ratio had no effect on phase inversion hold-up. it also disclosed that the phase viscosity ratio was the most effective parameter affecting phase inversion hold-up and each phase h...

We present two new inversion algorithms for binary extension and prime fields, which are slightly modified versions of the Montgomery inverse algorithm. An hardware architecture implementing these algorithms is also introduced. In our proposed architecture, the field elements are represented using a multi-word format which allows a scalable and unified architecture to operate in a broad range o...

This paper describes a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of Public Key Cryptography (PKC), i.e., Elliptic Curve (EC) and RSA Cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgom...