9,251 research outputs found

    Blocked-braid Groups

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    We introduce and study a family of groups BBn\mathbf{BB}_n, called the blocked-braid groups, which are quotients of Artin's braid groups Bn\mathbf{B}_n, and have the corresponding symmetric groups Σn\Sigma_n as quotients. They are defined by adding a certain class of geometrical modifications to braids. They arise in the study of commutative Frobenius algebras and tangle algebras in braided strict monoidal categories. A fundamental equation true in BBn\mathbf{BB}_n is Dirac's Belt Trick; that torsion through 4π4\pi is equal to the identity. We show that BBn\mathbf{BB}_n is finite for n=1,2n=1,2 and 3 but infinite for n>3n>3

    Quantum dynamics of the avian compass

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    The ability of migratory birds to orient relative to the Earth's magnetic field is believed to involve a coherent superposition of two spin states of a radical electron pair. However, the mechanism by which this coherence can be maintained in the face of strong interactions with the cellular environment has remained unclear. This Letter addresses the problem of decoherence between two electron spins due to hyperfine interaction with a bath of spin 1/2 nuclei. Dynamics of the radical pair density matrix are derived and shown to yield a simple mechanism for sensing magnetic field orientation. Rates of dephasing and decoherence are calculated ab initio and found to yield millisecond coherence times, consistent with behavioral experiments

    Study of high-speed angular-contact ball bearings under dynamic load

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    Research program studies behavior of specific high-speed, angular-contact ball bearings. Program is aimed at detailed investigation of ball-separator behavior and lubrication surface-finish effects in a specific gyro wheel

    The effect of bedrest on various parameters of physiological function. part v- dietary requirements

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    Effect of bedrest on various parameters of physiological function - nutritional requiremen

    Peripheral volume measurements as indices of peripheral circulatory factors in the cardiovascular orthostatic response

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    Peripheral volume measurements as indices of circulatory factors in cardiovascular orthostatic respons

    Shades of Grey: Ethical Dilemmas

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    EFFECTS OF RISK ON OPTIMAL NITROGEN FERTILIZATION DATES IN WINTER WHEAT PRODUCTION AS AFFECTED BY DISEASE AND NITROGEN SOURCE

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    Optimal fertilization dates were found for two nitrogen sources in the presence of two diseases for wheat farmers with different risk preferences. Risk was independent of fertilization date. Ammonium Nitrate and Urea-Ammonium Nitrate did not affect risk differently. Ammonium Nitrate applied on March 9 was optimal regardless of risk preferences.Crop Production/Industries,

    EFFECTS OF RISK, DISEASE, AND NITROGEN SOURCE ON OPTIMAL NITROGEN FERTILIZATION RATES IN WINTER WHEAT PRODUCTION

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    Interactions among nitrogen (N) fertilization rate, N source, and disease severity can affect mean yield and yield variance in conservation tillage wheat production. A Just-Pope model was used to evaluate the effects of N rate, N source, and disease on the spring N-fertilization decision. Ammonium nitrate (AN) was the utility-maximizing N source regardless of risk preferences. The net-return-maximizing AN rate was 92 lb N/acre, providing 0.52/acrehighernetreturnsthanthebestalternativeNsource(urea).IfafarmercouldanticipateahigherthanaverageTakeAllinfection,thedifferenceinoptimalnetreturnsbetweenANandureawouldincreaseto0.52/acre higher net returns than the best alternative N source (urea). If a farmer could anticipate a higher than average Take-All infection, the difference in optimal net-returns between AN and urea would increase to 35.11/acre.Crop Production/Industries,
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