Function expansion, Mathematics

Assignment Help:

The functions

{sinmx; cosmx}; m = 0,....∞

form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these with a unique set of coecients. For f(x) = x, we have

883_FUNCTION EXPANSION.png

To show that the above holds for x = 1, study the di erence between the left- and right-hand sides of the equality as a function of the number of terms included in the sum. Write an octave program to compute and plot the truncated sum approximation (expansion vs x) for n =4 and 16 together with the function x. Make a table showing the error (di erence between two sides) for n =1, 2, 4, 16, 64, 256, 1024. Plot the result of the expansion for 2 values of n together with the original function. Comment on your results. You should submit an octave script or function le I can use to reproduce your results and a separate document (plain text le preferred) for your comments.


Related Discussions:- Function expansion

Write down two more reasons why division is difficult, Write down two more ...

Write down two more reasons why children consider 'division' difficult. Regarding the first reason given above, one of fie few division related experiences that the child perhaps d

Evaluate the slope of the tangent line, Evaluate the given limits, showing ...

Evaluate the given limits, showing all working: Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative ) find the

Earth Day Bags, #question.I headed into Target in Webster, NY for an advert...

#question.I headed into Target in Webster, NY for an advertized free Earth Day Bag in (local newspaper and on your entrance store doors) and at 10:30 a.m. on Sunday, April 22nd, th

Geometry, which kind of triangle has no congruent sides ?

which kind of triangle has no congruent sides ?

Example of integrals involving quadratics, Evaluate the following integral....

Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t

Precalculus, how does sin of x equal negative 1/3

how does sin of x equal negative 1/3

Solve the form x2 + bx - c, Solve the form x 2 + bx - c ? This tutori...

Solve the form x 2 + bx - c ? This tutorial will help you factor quadratics that look something like this: x 2 + 11x - 12 (No lead coefficient; positive middle coeffic

Find the cost price of the toy, A dealer sells a toy for Rs.24 and gains as...

A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy. Ans:    Let the C.P be x ∴Gain = x % ⇒ Gain = x

Calculate the density of people per square mile, 1.  In 1900, a certain cou...

1.  In 1900, a certain country's population was 77,977,459 and it's area was 2,821,924 square miles, In 2000, the country's population was 283,575,229 and its area was 3,551,003 sq

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd