The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

The area \(A\) of a square of side length \(s\) is \(A=s^2\text{.}\) Suppose \(s\) increases by an amount \(\Delta s=ds\text{.}\) Draw a square and then illustrate ...

This project explores a novel approach to approximating Euler's Number (e) through fundamental concepts in Geometry and Probability, making it accessible to high school students. Unlike traditional ...

We describe an algorithm, based on the simplex method of linear programming, for solving the discrete l 1 approximation problem with any type of linear constraints. The numerical results reported here ...

Abstract: The Best Linear Approximation (BLA) is a linearisation of the transfer characteristics of a nonlinear system in a least squares sense. The BLA is known to depend on the statistical ...

This paper offers a qualitative theoretical analysis of the error that may arise when a linear programming calculation is used to solve a problem involving some ...

Abstract: Given a multiset of n positive integers and a target sum S, the subset sum problem is to find a subset such that the sum of its elements is as close as possible to S without exceeding S. We ...