25,769 research outputs found

    DEVIN GRIFFITHS. The Age of Analogy: Science and Literature between the Darwins.

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    CAROLINE LEVINE. Forms: Whole, Rhythm, Hierarchy, Network

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    Review of English Studies 66 (2015), 1001-

    Casting A Log Shadow

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    Facing an Epidemic: An Analysis of HIV/AIDS, Antiretroviral Drug, and International Response to the AIDS Pandemic

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    More than 33 million people are living with HIV/AIDS around the globe with 68% of all cases occurring in sub-Saharan Africa. The global prevalence rate is shocking considering that the disease was relatively unknown just 30 years ago. After reviewing medical, health policy, and health statistical journals, I will argue in this paper that international aid to nations struggling with AIDS needs to be redirected and refocused on supplying antiretroviral therapy to afflicted nations because ARV has been proven to be effective in managing the disease in countries that can afford the costs of treatment. International aid to countries that are ravished by the epidemic, and the United States is one of the top contributors to such efforts with its “President’s Emergency Plan For AIDS Relief (PEPFAR). The U.S. has realized the potential economic benefits of helping out such as becoming primary trade partners with the nations who have plenty of valuable natural resources despite their AIDS issues. In the U.S.’s efforts to combat terrorism, the nation has an interest in “stabilizing” certain countries, which are typically in Africa, so that they can resist potential terrorist threats or military coups. PEPFAR’s goal in fighting AIDS is part of the stabilization effort on the continent of Africa. Fortunately, major pharmaceutical companies have discovered compounds that are effective in attacking the HIV virus, and this has led to the production of “antiretroviral” drugs. Anti-retroviral therapy has proven to be a useful tool used by those suffering from HIV/AIDS to manage their disease better and obtain a higher quality life. Such medications are widely available in wealthy nations, but poor countries that have the highest HIV/AIDS prevalence have a harder time affording such therapy or managing the drug supplies. Potential solutions to this problem include selling antiretroviral drugs at a lower cost to developing nations or using generic versions of such drugs

    The Hamiltonians generating one-dimensional discrete-time quantum walks

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    An explicit formula of the Hamiltonians generating one-dimensional discrete-time quantum walks is given. The formula is deduced by using the algebraic structure introduced previously. The square of the Hamiltonian turns out to be an operator without, essentially, the `coin register', and hence it can be compared with the one-dimensional continuous-time quantum walk. It is shown that, under a limit with respect to a parameter, which expresses the magnitude of the diagonal components of the unitary matrix defining the discrete-time quantum walks, the one-dimensional continuous-time quantum walk is obtained from operators defined through the Hamiltonians of the one-dimensional discrete-time quantum walks. Thus, this result can be regarded, in one-dimension, as a partial answer to a problem proposed by Ambainis.Comment: 9 page

    The Experimental Self: Humphry Davy and the Making of a Man of Science

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    Annals of Science 74 (2017), 335-

    Eigenvalues, absolute continuity and localizations for periodic unitary transition operators

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    The localization phenomenon for periodic unitary transition operators on a Hilbert space consisting of square summable functions on an integer lattice with values in a complex vector space, which is a generalization of the discrete-time quantum walks with constant coin matrices, are discussed. It is proved that a periodic unitary transition operator has an eigenvalue if and only if the corresponding unitary matrix-valued function on a torus has an eigenvalue which does not depend on the points on the torus. It is also proved that the continuous spectrum of the periodic unitary transition operators is absolutely continuous. As a result, it is shown that the localization happens if and only if there exists an eigenvalue, and the long time average of the transition probabilities coincides with the point-wise norm of the projection of the initial state to the direct sum of eigenspaces.Comment: 15 pages. The first half of the previous version has been simplified. Some of previous results has been mentioned. As an example, Grover walk on a topological crystal is explaine

    A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions

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    An asymptotic formula for the number of states of Boson gas whose Hamiltonian is given by a positive elliptic pseudo-differential operator of order one on a compact manifold is given under a integrality assumption on the spectrum of the Hamiltonian. This is regarded as an analogue of the Meinardus theorem on asymptotics of the number of partitions of a positive integer.Comment: Introduction has rewritten. In particular, the assumption in the main theorem has been changed. The assumption of main theorem in the old version is not suitable. Some mistakes are fixed. To appear in the journal Asymptotic Analysi
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