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Principles of Digital Communications I
6.451, is offered in the spring. Topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM modulation, signal constellations, finite-energ...
Chemical and Engineering News: April 18, 2005
Researchers have found a practical route to a series of analogs. EPA ADMINISTRATOR As two senators drop objections, Senate panel confirms Stephen L. Johnson. POTASH Tax breaks in Saskatchewan prompt new production by fertilizer firms. DYNAMITE SENSOR Fluorescen...
Robin Chase on Zipcar and her next big idea
? Zero dollars a month. Here's another example: in New Orleans, video cameras were mesh-enabled so that they could monitor crime in the downtown French Quarter. When the hurricane happened, the only communication system standing was the mesh network. Volunteers flew in, a...
NYTimes People: Wallace, Graham M.
archival articles published in The New York Times. ARTICLES ABOUT GRAHAM M. WALLACE Newest First | Oldest First Page: 1 | 2 | Next >> Cable and Wireless of Britain Names Chief; Shares Jump By ALAN COWELL Struggling to reverse three years of calamities, Cable and Wireles...
 Math for Poets and Drummers
6even, pn begins with ; therefore, pn = pn−1, where ind pn−1 = ind pn/2. We now know the index of pn−1 in the list of patterns of length n− 1. Repeat the algorithm until all the characters of pn have been generated. The following steps show that the fifth patter...
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6even, pn begins with ; therefore, pn = pn−1, where ind pn−1 = ind pn/2. We now know the index of pn−1 in the list of patterns of length n− 1. Repeat the algorithm until all the characters of pn have been generated. The following steps show that the fifth pattern of five syllables is : pattern ind pi parity p5 5 odd p4 (5 + 1)/2 = 3 odd p3 (3 + 1)/2 = 2 even p2 2/2 = 1 odd p1 (1 + 1)/2 = 1 odd Problem 3: finding the index of a pattern. Now, suppose you are given a pattern. Where does it belong on the list
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http://www.sju.edu/~rhall/mathforpoets.pdf#page=4
www.sju.edu/~rhall/mathforpoets.pdf#page=4
pattern, write <span class="highlight">a</span> short syllable: - - - - - Then recopy the rest of the previous pattern: The list ends with the pattern of all short syllables (without this stipulation, the list repeats <span class="highlight">in</span> an infinite loop, since applying the <span class="highlight">algorithm</span> to the pattern of n short syllables produces the pattern of n long syllables). Pingala’s <span class="highlight">algorithm</span> follows naturally from the observation that the list of (n− 1)-syllable patterns is nested (twice) within the list of n-syllable patterns. Bhatt’s <span class="highlight">algorithm</span> is less
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http://www.sju.edu/~rhall/mathforpoets.pdf#page=5
www.sju.edu/~rhall/mathforpoets.pdf#page=5
4obvious; it is perhaps easiest to derive from the routine described <span class="highlight">in</span> his solution to Problem 3 (discussed below). Combinatorial sequence generation is the process of systematically listing structures with <span class="highlight">a</span> given property. Computer-science guru Donald E. Knuth credits Sanskrit prosodists with “the first-ever explicit <span class="highlight">algorithm</span> for combinatorial sequence generation” [4]. <span class="highlight">A</span> significant difference between the two writers is that Bhatt’s <span class="highlight">algorithm</span> is iterative—that is, it gives instructions to get from one
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http://www.sju.edu/~rhall/mathforpoets.pdf#page=7
www.sju.edu/~rhall/mathforpoets.pdf#page=7
6even, pn begins with ; therefore, pn = pn−1, where ind pn−1 = ind pn/2. We now know the index of pn−1 <span class="highlight">in</span> the list of patterns of length n− 1. Repeat the <span class="highlight">algorithm</span> until all the characters of pn have been generated. The following steps show that the fifth pattern of five syllables is : pattern ind pi parity p5 5 odd p4 (5 + 1)/2 = 3 odd p3 (3 + 1)/2 = 2 even p2 2/2 = 1 odd p1 (1 + 1)/2 = 1 odd Problem 3: finding the index of <span class="highlight">a</span> pattern. Now, suppose you are given <span class="highlight">a</span> pattern. Where does it belong on the list
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http://www.sju.edu/~rhall/mathforpoets.pdf#page=9
www.sju.edu/~rhall/mathforpoets.pdf#page=9
8Problem 4: counting patterns of n syllables. The fourth problem both Pingala and Bhatt tackled involves counting the possible poetic meters of <span class="highlight">a</span> fixed number of syllables [1]. <span class="highlight">In</span> other words, they wrote procedures to evaluate 2n. Bhatt gives two algorithms [5]. The first is based on his solution to the index-finding problem. He observes that the index of the pattern of n short syllables is 2n. Using his <span class="highlight">algorithm</span>, this equals one plus the sum of the positional value of each syllable; <span class="highlight">in</span> other words, 2n
Chemical and Engineering News: October 8, 2001
security. HINDSIGHTS Sept. 11 atrocity raises the specter of a new type of violence. SCIENCE/TECHNOLOGY SCIENCE/TECHNOLOGY CONCENTRATES LUMINESCENT ORGANOMETALLICS Novel soluble carbon-rich transition-metal acetylide complexes may lead to new types of luminescent materials. URANIUM...
NYTimes People: Seidenberg, Ivan G.
Seidenberg, including commentary and archival articles published in The New York Times. Highlights From the Archives While AT&T Does Deals, Verizon Spends to Hone Its Networks By KEN BELSON The chief executive of Verizon Communications is taking a big risk as he spends m...
NYTimes People: Markey, Edward J.
criminal investigations. May 02, 2012, Wednesday Congressman and Privacy Group Call for Google Inquiry By NICK BILTON The Electronic Privacy Information Center, based in Washington, asked the Department of Justice to investigate Google on Tuesday, after more news emerged surrounding Googl...
Stanford Encyclopedia of Philosophy: quantum computing
(Farhi et al. 2000) proposed a novel paradigm for quantum computing that differs from the circuit model in several interesting ways. Their goal was to try to solve with this algorithm an instance of satisfiability—deciding whether a proposition in the...
An Introduction to Kolmogorov Complexity and Its Applications - Li, Vig�nyi
complexity of computations, average case analysis of algorithms such as HEAPSORT, language recognition, string matching, routing in computer networks, circuit theory, formal language and automata theory, parallel computation, Turing machine complexity, complexity of tapes, stack...
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