Linear approximation is a method used to estimate the value of a function near a given point using the tangent line at that point. This technique simplifies complex functions into a linear form ...

Find a linear approximation to the function \ (f (x)=\sqrt [3] {x+8}\) at \ (a=0\text {.}\) Use this approximation to estimate the numbers \ (\sqrt [3] {7.95}\) and \ (\sqrt [3] {8.1}\text {.}\) ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

We use approximate linear programming to solve the problem under three approximation architectures: affine, separable piecewise linear and finite affine. The finite affine approximation is a recently ...

We design a new provably efficient algorithm for episodic reinforcement learning with generalized linear function approximation. We analyze the algorithm under a new expressivity assumption that we ...

We discuss several fascinating concepts and algorithms in graph theory that arose in the design of a nearly-linear time algorithm for solving diagonally-dominant linear systems. We begin by defining a ...

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the ...

In wireless sensor networks (WSNs), how to reduce the power consumption thus lengthen the system life time is one of the key issues to sustain the services. According to the radio model, packet ...