Developing a generalized useful DNA computer has been one of the main interests since the inception of molecular computation. Toward that goal it is important to equip DNA with the ability to perform mathematical calculations. Here, a simple procedure that allows DNA-based bit arithmetic calculations is presented. Oligonucleotides encoding input bit numbers serve as primers for PCR to carry out...

This paper presents an extensible framework for optimizing analog lter designs for multiple behavioral and implementation properties. We demonstrate the framework using the behavioral properties of magnitude response, phase response, and peak overshoot, and the implementation property of quality factors. We represent the analog lter in terms of its poles and zeroes. We match the constrained non...

There are many ways to encode, represent, and compress satellite images. Today, with the huge technological advance, algorithms are used to perform many calculations to compress and decompress a satellite image. The future of the compression can take place only through mathematical algorithms, and the progress of mathematical research undoubtedly will lead to an advance in image and file compre...

There are many ways to encode, represent, and compress satellite images. Today, with the huge technological advance, algorithms are used to perform many calculations to compress and decompress a satellite image. The future of the compression can take place only through mathematical algorithms, and the progress of mathematical research undoubtedly will lead to an advance in image and file compre...

he development of algorithms needed for the analytic solution of state space design equations using a computer algebra system (MapleV) is presented in this article. These calculations involve mati ix manipulations, eigenvalue-eigenvector determinations, Laplace and Inverse Laplace transformations, Z and Inverse Z transformations, which are complex, tedious, and error prone, even for simple exam...

1.1 Background Biomechanical Systems • Physical Knee Models • Phenomenological Mathematical Knee Models • Anatomically Based Mathematical Knee Models 1.2 Three-Dimensional Dynamic Modeling of the Tibio-Femoral Joint: Model Formulation Kinematic Analysis • Contact and Geometric Compatibility Conditions • Ligamentous Forces • Contact Forces • Equations of Motion 1.3 Solution Algorithm DAE Solvers...

Accurate and realistic mathematical modeling is always essential for conventional computer simulations such as CFD calculations of reacting flow systems. However, if the goal is not merely to make passive “what if” predictions but rather to use the available “actuators” in the system to exert active control over the dynamical behaviors of certain measured output variables, then the problem beco...

After reviewing some of the mathematical foundations and numerical difficulties facing lattice QCD, I review the status of several calculations relevant to experimental high-energy physics. The topics considered are moments of structure functions, which may prove relevant to search for new phenomena at the LHC, and several aspects of flavor physics, which are relevant to understanding CP and fl...

Theory has contributed significantly to recent advances in magnetic fusion research. New configurations have been found for a stellarator experiment by computational methods. Solutions of a free-boundary problem are applied to study the performance of the plasma and look for islands in the magnetic surfaces. Mathematical analysis and numerical calculations have been used to study equilibrium, s...

Some defin ite analytic integrals involving algebraic, trigonometric and Bessel functions which are needed in some electromagnetic calculations are proposed. The mathematical expansions are based on Mathematica (Wolfram) software and on some well known formulas. The agreement between the present expansion results and the numerical evaluation results is excellent.