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This document discusses nonlinear fitting, optimization, and the DirectSearch package. It introduces nonlinear fitting and optimization and their application to biomedical data using the Michaelis-Menten model. It also describes the DirectSearch package for nonlinear optimization.

Technology

Nonlinear Fit, Optimization, and the DirectSearch Package
Robert J. Lopez
Emeritus Professor, RHIT
Maple Fellow, Maplesoft
Introduction
Michaelis-Menton Fit to Biomed Data
The DirectSearch Package

This document provides tables of Laplace transforms for various functions including: - General formulas for Laplace transforms - Expressions involving power-law functions - Expressions involving exponential functions - Expressions involving hyperbolic functions - Expressions involving logarithmic functions For each function, the original function f(x) is provided along with its corresponding Laplace transform f(p). References for further information on Laplace transforms are also included.

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The document contains tables listing formulas for inverse Laplace transforms of various functions. It includes: 1) General formulas for inverse Laplace transforms of functions with parameters like shifts or scalings. 2) Formulas for inverse transforms of rational functions involving polynomials. 3) Formulas involving square roots of polynomials. 4) More general formulas for inverse transforms of functions involving arbitrary powers. Notation for special functions like Bessel functions is also explained.

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