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S USC’ 2003 H M
S USC’ 2003 H M

... 5. (a) The areas in the choices are (a) π · 32 > 27, (b) 52 = 25, (c) 3 · 9 = 27, (d) 6 · 8/2 = 24 (note that this is a right triangle with legs of lengths 6 and 8), and (e) less than 72 /2 < 25 (clearly, the height of the triangle is < 7). 6. (b) The answer follows from 81000000 < 87654321 < 100000 ...
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... The code for a process, Pi, could be based upon recv(&x, Pi-1); /* repeat following for each number */ recv(&number, Pi-1); if ((number % x) != 0) send(&number, Pi+1); Each process will not receive the same number of numbers and is not known beforehand. Use a “terminator” message, which is sent at ...
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... Using pencil and paper you can create fractals such as the Koch Snowflake, Cantor Dust and Sierpinski’s Triangle. (Directions for creating these fractals can be found on Cynthia Lanius’s web page, http://math.rice.edu/~lanius/fractals/iterpr.html) However, the image you create is only a representati ...
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... Suppose we consider the following experiment: Toss a coin until we observe two heads in succession for the first time. One may ask for the probability of this event. Intuitively, one feels that the solution to this problem may be related to the Fibonacci sequence; and, in fact, this is so. More gene ...
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... a  b  ab (the product of two square roots is the square root of the products)  and ab  a  b (vice-versa; the square root of a product equals the product of the square roots). This second equation is very useful for simplifying radicals, if you can think of the number under the square root as a ...
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Mathematics of radio engineering



The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.
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