By Jonathan Swift
A story of a bathtub is the masterpiece of Swift's prior years.
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Extra resources for A Tale of a Tub (Penguin Great Ideas)
18) where k,a = (3/).. and (3 is the angle of the incident illumination (with respect to the 26 CHAPTER 3. 4: Imaging with non-ideal illumination. The incident electrons have an angle (3. The specimen scatters at an angle )'k and the final angle into the objective lens is 0 (angles measured with respect to the optic axis). A single electron trajectory is shown on the left and the total illumination of a single point on the image is shown on the right. (3max is typically the condenser aperture and Omax is the objective aperture.
Kak, Digital Picture Processing, Academic Press, 1976 102 9. W. O. Saxton, Computer Techniques for Image Processing in Electron Microscopy, Adv. 8 An FFT Subroutine in C 1*------------------------ fft42 -------------------------radix-4,2 FFT in C fft42( fr , fiE], n ) fr, fi n (float) real and imaginary array with input data (long) size of array calculate the complex fast Fourier transform of (fr,fi) input array fr,fi (real,imaginary) indexed from 0 to (n-l) on output fr,fi contains the transform started 8-jan-1995 E.
When N is decomposed into both factors of 2 and 4 the FFT is said to be a mixed radix FFT. It would first do all of the factors of 4 and then at most one factor of 2 to get any length that is a power of 2. If a two dimensional (or higher) FFT is needed, an additional improvement in performance can also be obtained by using a look up table for the sines and cosines because they only need to be calculated once. Higher radix FFT's generally trade integer operations for floating point operation. Until recently floating point operations were almost always much slower than integer operation and higher radix FFT's run faster.
A Tale of a Tub (Penguin Great Ideas) by Jonathan Swift