520 research outputs found

    Measurement of the Intensity of Turbulence

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    Spectral broadening of scattered light using Doppler heterodyne technique, and velocity profiles for laminar flow in a duc

    Irreducible subgroups of algebraic groups

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    Separate reference beam holographic interferometry and its application to the measurement of small phase variations in sub-fringe systems

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    Application of separate reference beam holographic interferometry for measurement of small phase variations in sub-fringe system

    Completely reducible SL(2)-homomorphisms

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    Let K be any field, and let G be a semisimple group over K. Suppose the characteristic of K is positive and is very good for G. We describe all group scheme homomorphisms phi:SL(2) --> G whose image is geometrically G-completely reducible -- or G-cr -- in the sense of Serre; the description resembles that of irreducible modules given by Steinberg's tensor product theorem. In case K is algebraically closed and G is simple, the result proved here was previously obtained by Liebeck and Seitz using different methods. A recent result shows the Lie algebra of the image of phi to be geometrically G-cr; this plays an important role in our proof.Comment: AMS LaTeX 20 page

    On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

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    Let WW be a vector space over an algebraically closed field kk. Let HH be a quasisimple group of Lie type of characteristic p≠char(k)p\ne {\rm char}(k) acting irreducibly on WW. Suppose also that GG is a classical group with natural module WW, chosen minimally with respect to containing the image of HH under the associated representation. We consider the question of when HH can act irreducibly on a GG-constituent of W⊗eW^{\otimes e} and study its relationship to the maximal subgroup problem for finite classical groups.Comment: To appear in Journal of Pure and Applied Algebr

    A World Wide Web of Unwanted Children: The Practice, the Problem, and the Solution to Private Re-Homing

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    A deplorable practice has emerged in the world of adoption. Adoptive families are now using the Internet to give their unwanted adopted children over to complete strangers, some of whom are traffickers, pedophiles, child pornographers, or worse. This practice is known as private rehoming. Through the use of online message boards and a simple notarized power of attorney document, adoptive parents are circumventing the adoption system—including its home study and background check requirements for prospective parents—and placing children in great danger. Because only a handful of states have enacted legislation directly targeting private re-homing and because no such legislation exists at the federal level, this Note calls for drastic change to protect the best interests of adopted children. This Note also proposes a model state statute to combat private re-homing. Without regulation or restraint, private re-homing will perpetuate a world wide web of unwanted children. The dangers that this practice poses for adopted children and the severity of its consequences demand the holistic solution that this Note recommends, which includes taking steps at both the state and federal levels to prevent and prohibit private re-homing

    Reliability and Validity of the Outcome Questionnaire in a Heterogeneous Cancer Population

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    The Institute of Medicine (IOM) and National Cancer Comprehensive Network (NCCN) now require integration of psychosocial care into the treatment of cancer patients to identify, monitor, and treat psychosocial distress. Despite the widespread use of Patient Reported Outcomes (PRO) for these purposes, no gold standard PRO for assessing distress exists for psycho-oncology research and clinical practice. This study examined the reliability, validity, and preliminary treatment effects of the Outcome Questionnaire, a PRO never before been used or validated with heterogeneous cancer patients. Adult cancer survivors were recruited nationwide to participate in an online support group (N=187) and randomly assigned to a treatment or wait-list condition in a longitudinal randomized controlled trial. The OQ Total Score demonstrated excellent reliability (ïƒ¡ï€ = 0.92). However, the subscales varied in the quality of their reliability ratings. Convergent validity was demonstrated, but divergent validity was not adequately shown. Three new significant factors were identified through exploratory factor analysis. For preliminary treatment effects in the online support group study, it was shown that those with a worse perceived health status F (1, 90) = 7.48, p = 0.008 and those who engaged more with the online support group improved over time F (1, 59) = 6.00, p = 0.018. These findings suggest mixed support for the implementation of the OQ as a PRO in a chronic disease sample. Generally, if the OQ is to be used as is within a cancer population, the Total Score may be interpreted as both reliable and valid and able to demonstrate treatment effects in a cancer population, but the subscale scores should not be interpreted
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