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Answer

Metric Methods And Approximation Algorithms.

Metric methods and approximation algorithms.

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Answered

** Approximation theory** is a branch of mathematics that deals with how functions can be approximated by simpler or more tractable functions, and with quantifying the errors introduced thereby. The goal is to make complex mathematical problems simpler and more manageable.

** This theory** is used in a variety of areas such as numerical analysis, where it helps to solve differential and integral equations. It's also used in computer-aided design, signal processing, and data compression, among other fields.

The most common types of approximation include polynomial approximation (for example, Taylor series), rational approximation (like Pade approximant), and trigonometric approximation (such as Fourier series).

In essence, approximation theory provides the mathematical foundation for many techniques and methods used in ** computational mathematics**,

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Our goal is to simplify your study process by breaking down the intricate ideas of Approximation Theory into more digestible concepts. With Tutlance, you not only receive accurate solutions to your homework problems but also gain a deeper understanding of the underlying mathematical principles. This unique approach ensures you are well-equipped to handle real-world applications of Approximation Theory, such as in ** numerical analysis**,

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