в оригинале
English translation: ...
| 17:45 Dec 3, 2002 |
| Russian to English translations [PRO] Tech/Engineering - Mathematics & Statistics / math | |||||||
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|  Selected response from: alla dunbar Local time: 10:42 | ||||||
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| 4 | original [function] |
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| 4 | inverse transform |
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| 4 | ... |
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Answers
2 hrs confidence: 
original [function] Explanation: The solutions found can be mapped through inverse Fourier transform onto the original Вроде бы так оно и называется - в русском языке просто калька |
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4 hrs confidence:
inverse transform Explanation: "The solutions found by means of inverse Fourier transformation can be represented in the inverse transform." "Original" has the meanings of inverse transform, pre-image, and, of course, original /Russian-English math dictionaries |
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4 hrs confidence:
... Explanation: The solutions obtained from the inverse Fourier integral transformation may be presented in the original functional form (as opposed to an exponential or differential form if different from the original). -------------------------------------------------- Note added at 2002-12-04 12:51:06 (GMT) -------------------------------------------------- ...where the functional relationship on ... use the principal value of the exponential form because the singularity in the ORIGINAL FORM is removable ... http://www.physics.umd.edu/courses/Phys604/Fall02/Notes/Inte... ...Thus, Fourier transformation and its inverse transformation connect two functions: The ORIGINAL FUNCTION, and the image function... http://www.owlnet.rice.edu/~comp482/presentations/ffthandout... ... The fast Fourier transform (FFT) is a well-known algorithm for ... the analogy between the integral form and the ORIGINAL bilinear FORM is apparent. ... http://www.nap.edu/readingroom/books/mctcc/chap4.18.html ...The Duality Property tells us that if x(t) has a Fourier Transform X(ω), then if we form a new function of time that has the functional form of the transform, X(t), it will have a Fourier Transform x(ω) that has the FUNCTIONAL FORM OF THE ORIGINAL time FUNCTION... http://itrc.iust.ac.ir/courses/signals&systems/LASS3/lesson3... ...Q: What happens if we iterate Fourier transform? A: You can easily figure this out. First, see what happens if we apply it twice. The formula for the Fourier transform is almost the same as the one for the inverse transform, so you almost recover your original function. http://www.math.purdue.edu/~eremenko/qaaf.html |
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