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Many error correcting codes are known to be self-dual. Hence the MacWilliams identities put a considerable restriction on the possible weight distribution of such a code. We show that this restriction, for codes over GF(2) and GF(3), is that the weight polynomial must lie in an explicitly described free polynomial ring. To extend these results (in part) to… (More)

A syndrome of hyperactivity and poor attention has been described in children for over a century and has evolved into the construct of attention-deficit hyperactivity disorder (ADHD) (Janakiraman 2010). Although traditionally viewed as affecting only children and adolescents, there is a growing consensus that some children and adolescents with ADHD may… (More)

- Ethan D. Bolker, Andrew M. Gleason
- J. Comb. Theory, Ser. A
- 1980

In this paper we shall count the number of permutations of n objects for which (a) all the cycles have lengths divisible by a fixed integer d, and (b) none of the cycles has length divisible by d. Both of these counts, and many more, can be obtained using generating functions. (See Bender [l] and Blum [2]. At the end of the paper we sketch some of these… (More)

- Peter G. Hinman, Alan Taylor, +46 authors William Yslas Vélez
- 1996

Upper division courses in college are where math majors learn real mathematics. For the first time they get to examine the foundations of algebra, geometry and analysis, come face-to-face with the deductive nature of mathematics on a consistent basis and, most importantly, learn to do serious theorem-proving. For reasons not unlike these, most… (More)

pdf.<lb>[VN] J. von Neumann, Mathematische Grundlagen der<lb>Quantenmechanik, Springer, 1932. English translation:<lb>systems has opened a new field of mathematical<lb>research.<lb>Starting in 1969, difficult experimental work<lb>began, using variants of Bell’s inequality, to test if<lb>very delicate predictions of quantum mechanics<lb>are correct. Of… (More)

- Andrew M. Gleason
- The American Mathematical Monthly
- 2000

- Edward D. Gaughan, David J. Pengelley, +9 authors Wayne Raskind
- 2011

NOTICES OF THE AMS VOLUME 58, NUMBER 8 [NS] M. Nawrot and K. Stroyan, The motion/pursuit law for visual depth perception from motion parallax, Vision Res. 49 (2009), 1969–1978. [Pengelley] Edward D. Gaughan, David J. Pengelley, Arthur Knoebel, and Douglas Kurtz, Student Research Projects in Calculus (Spectrum Series), MAA, 1992. [Smith-Moore] David A. Smith… (More)

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