Abstract: We present new exponential bounds for the Gaussian Q function (one- and two-dimensional) and its inverse, and for M-ary phase-shift-keying (MPSK), M-ary ...

In this module you will use derivatives and integrals to solve more complicated Calculus problems and see how to find Taylor Series, polynomials that approximate complicated trigonometric and ...

E_j(x) = ∑_k x^k/(k+j)! So for j=0, this is the regular exponential. The main application is to apply that exponential function to a matrix.

Tierney and Kadane (1986) presented a simple second-order approximation for posterior expectations of positive functions. They used Laplace's method for asymptotic evaluation of integrals, in which ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

Course Description: Quadratic equations, inequalities, logarithmic and exponential functions, graphs, elements of theory of equations, systems of equations. *Note: This course is designed to prepare ...

Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

Abstract: In this article, we first develop very tight second and third-order exponential-type approximations for the Gaussian probability integral Q(.) and/or the ...