Q: Find the Fourier series of the periodic function f sin x 0 x l -2 L-l?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Fourier analysis began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation. If you want to find out more, look up fourier synthesis and the fourier transform.

They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform. The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.

Amongst the lay public of non-mathematicians and non-scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the theory of music; still other uses are more technical, such as in number theory. The mathematical topics of Fourier series and Fourier transformsrely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics.

You take the integral of the sin function, -cos, and plug in the highest and lowest values. Then subtract the latter from the former. so if "min" is the low end of the series, and "max" is the high end of the series, the answer is -cos(max) - (-cos(min)), or cos(min) - cos(max).

The number of function is Geometry

Related questions

no

Fourier analysis began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation. If you want to find out more, look up fourier synthesis and the fourier transform.

find the fourier cofficients of the following function: (a) f(t)=t

A: Any electronics reference book will contain Fourier model transformation. It is just a matter to look them up and which to use for what.

They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform. The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.

There are many applications for this complex theory. One of these include the determination of harmonic components in a complex waveform. This is very helpful in analyzing AC waveforms in Electrical Engineering.

Yes, this can be done. For example for Fibonacci series. You will find plenty of examples if you google for the types of series you need to be generated.

Basically Pi 3.14.... Etc. is the number that is used for circles. Should you want to build a building with a cirlce roof you'll need to find the circumference. Basically you multiply pi with the diameter and you get the circumference. There is a lot more to it than that; pi turns up in many contexts which aren't about circles. One is Fourier series, used in problems ranging from the distribution of heat in physics to acoustics, image analysis, and in filters in circuits in electrical and computer engineering. The formulas for Fourier series involve pi. I think you will find that pi turns up in every branch of engineering.

first convert non-causal into causal and then find DFT for that then applt shifing property.

Amongst the lay public of non-mathematicians and non-scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the theory of music; still other uses are more technical, such as in number theory. The mathematical topics of Fourier series and Fourier transformsrely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics.

There is no difference between "period table" and "periodic table" - they refer to the same thing. The periodic table is a tabular display of the chemical elements organized by atomic number, electron configuration, and recurring chemical properties.

Amongst the lay public of non-mathematicians and non-scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the theory of music; still other uses are more technical, such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics.