Introduction to Theory of Computation

Control Theory and Economic Policy Optimization: The Origin, Achievements and the Fading Optimism from a Historical Standpoint

Economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. The theory of optimal control resulting from the contributio...

The Principle of Relativity: From Ungar’s Gyrolanguage for Physics to Weaving Computation in Mathematics

‎This paper extends the scope of algebraic computation based on a non standard $times$ to ‎the more basic case of a non standard $+$‎, ‎where standard means associative ‎and commutative‎. ‎Two physically meaningful examples of a non standard $+$ are ‎provided by the observation of motion in Special Relativity‎, ‎from either ‎outside (3D) or inside (2D or more)‎, ‎We revisit the ``gyro''-theory ...

An Introduction to Differential Computation Analysis (DCA) on the withe-box cryptography algorithms

Advances in information and communication technologies lead to use of some new devices such as smart phones. The new devices provide more advantages for the adversaries hence with respect to them, one can define with-box cryptography. In this new model of cryptography, designers try to hide the key using as a kind of implementation. The Differential Computation Analysis (DCA) is a side channel ...

Introduction to the Theory of Computation

Quantitative Comparison of Analytical solution and Finite Element Method for investigation of Near-Infrared Light Propagation in Brain Tissue Model

Introduction: Functional Near-Infrared Spectroscopy (fNIRS) is an imaging method in which light source and detector are installed on the head; consequently, re-emission of light from human skin contains information about cerebral hemodynamic alteration. The spatial probability distribution profile of photons penetrating tissue at a source spot, scattering into the tissue, and being released at ...

Introduction to the Theory of Computation Some Notes for CIS262