- 8-126.96.36.199: Determine the trigonometric interpolating polynomial S2(x) of degre...
- 8-188.8.131.52: Determine the trigonometric interpolating polynomial of degree four...
- 8-184.108.40.206: Use the Fast Fourier Transform Algorithm to compute the trigonometr...
- 8-220.127.116.11: a. Determine the trigonometric interpolating polynomial S4(x) of de...
- 8-18.104.22.168: Use the approximations obtained in Exercise 3 to approximate the fo...
- 8-22.214.171.124: Use the Fast Fourier Transform Algorithm to determine the trigonome...
- 8-126.96.36.199: Use the Fast Fourier Transform Algorithm to determine the trigonome...
- 8-188.8.131.52: Use a trigonometric identity to show that 2m1 j=0 (cos mx j)2 = 2m
- 8-184.108.40.206: Show that c0,... , c2m1 in Algorithm 8.3 are given by c0 c1 c2 . . ...
- 8-220.127.116.11: In the discussion preceding Algorithm 8.3, an example for m = 4 was...
Solutions for Chapter 8-6: Fast Fourier Transforms
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
An equation that relates variable quantities associated with phenomena being studied
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
Difference of functions
(ƒ - g)(x) = ƒ(x) - g(x)
See Polar coordinates.
The function ƒ(x) = x.
The numbers . . ., -3, -2, -1, 0,1,2,...2
Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x
A polynomial with exactly one term.
Multiplication property of equality
If u = v and w = z, then uw = vz
Natural exponential function
The function ƒ1x2 = ex.
Negative linear correlation
See Linear correlation.
An equation in r and ?.
Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.
Zeros of a function that are rational numbers.
See Reference triangle
Second-degree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.
See Horizontal translation, Vertical translation.
The restrictions on x and y that specify a viewing window. See Viewing window.
The y-value of the bottom of the viewing window.