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APPROXIMATION METHODS FOR ELECTRONIC FILTER DESIGN : EL
Approximation Methods For Electronic Filter Design : Pall Filters Portsmouth.
Approximation Methods For Electronic Filter Design
- A technique for obtaining approximate answers to calculations that are difficult, of not impossible to solve exactly.
- Electronic devices that implement filtering techniques to separate desirable signals from undesirable signals for a given application. These devices may also include capabilities to condition the signals by amplification or other processing.
- Electronic filters are electronic circuits which perform signal processing functions, specifically to remove unwanted frequency components from the signal, to enhance wanted ones, or both.
- the act of working out the form of something (as by making a sketch or outline or plan); "he contributed to the design of a new instrument"
- Decide upon the look and functioning of (a building, garment, or other object), typically by making a detailed drawing of it
- plan: make or work out a plan for; devise; "They contrived to murder their boss"; "design a new sales strategy"; "plan an attack"
- an arrangement scheme; "the awkward design of the keyboard made operation difficult"; "it was an excellent design for living"; "a plan for seating guests"
- Do or plan (something) with a specific purpose or intention in mind
Approximation Theory and Methods
Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
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Archimedes
Archimedes
The Progress of Railroading
Union Station
Six allegorical figures standing on a ledge over the three entrance arches on the front of Union Station. The figures from left to right are: Prometheus (Fire), Thales (Electricity), Themis (Freedom or Justice), Apollo (Imagination or Inspiration), Ceres (Agriculture), and Archimedes (Mechanics).
Archimedes (c. 287 BC – c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and the explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water, and setting ships on fire using an array of mirrors.
Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of Pi. He also defined the spiral bearing his name, formulas for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers.
Threegonometry
Persian mathematician and poet Omar Khayyam (1048-1131) combined trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means. Khayyam solved the cubic equation x3 + 200x = 20x2 + 2000 and found a positive root of this cubic by considering the intersection of a rectangular hyperbola and a circle. An approximate numerical solution was then found by interpolation in trigonometric tables.
Maybe he would find interesting my heart's dynamics.
_____________
I resolve daily that at dusk I shall repent
For a night with a cup full of wine spent.
In the presence of flowers, my resolve simply went
In such company, I only regret that I ever resolved to repent.
Omar Khayyam
approximation methods for electronic filter design
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
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Post je objavljen 27.10.2011. u 02:08 sati.