1,373 research outputs found

    Sketching as an ally in the first-year composition classroom

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    Lucas' Theorem for Prime Powers

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    Lucas' theorem on binomial coefficients states that (AB)≡(arbr)⋯(a1b1)(a0b0)(mod p) where p is a prime and A = arpr + ⋯ + a0p + a0, B = brpr + ⋯ + b1p + b0 + are the p-adic expansions of A and B. If s ⩾ 2, it is shown that a similar formula holds modulo ps where the product involves a slightly modified binomial coefficient evaluated on blocks of s digits.

    Final technical report for NSF grant #OCE 75-20241, entitled Identification and role of the ultraplankton of the lower Chesapeake Bay region

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    Numbers and species identities of the most dominant small (\u3c15μm) photosynthetic Plankton were determined from samples of lower Chesapeake Bay water. The data is being compared to physical and chemical measurements of the Bay waters in an effort to determine conditions which encourage or inhibit growth of the organisms. Pure cultures of some of the more common species have been established and are being used to evaluate the roles of the organisms in terms of photosynthetic rates and utilization and excretion of nitrogen compounds
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