4,627 research outputs found

    Finite groups have more conjugacy classes

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    We prove that for every ϵ>0\epsilon > 0 there exists a δ>0\delta > 0 so that every group of order n3n \geq 3 has at least δlog2n/(log2log2n)3+ϵ\delta \log_{2} n/{(\log_{2} \log_{2} n)}^{3+\epsilon} conjugacy classes. This sharpens earlier results of Pyber and Keller. Bertram speculates whether it is true that every finite group of order nn has more than log3n\log_{3}n conjugacy classes. We answer Bertram's question in the affirmative for groups with a trivial solvable radical

    Macromolecular assemblages — from molecules to functional modules.

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    Properties of multilayer filters Interim report, 1 Sep. 1969 - 28 Feb. 1970

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    Using films of gold and silver for optical filter

    Properties of multilayer filters Interim report, 1 Mar. - 31 Aug. 1969

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    Blocking filter effects on long-wavelength rejection of ultraviolet bandpass filte

    Properties of multilayer filters Final report, 1 Mar. 1964 - 28 Feb. 1967

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    Optical interference bandpass filters for ultraviolet spectral regio

    Properties of Multilayer Filters Interim Report, 1 Sep. 1965 - 28 Feb. 1966

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    Circuitry and calibration of solenoid actuated shutter for rapid firing of aluminum and design of ultraviolet band pass filte

    Labour Market and Social Policy in Italy: Challenges and Changes. Bertelsmann Policy Brief #2016/02

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    vEight years after the outbreak of the financial crisis, Italy has still to cope with and overcome a plethora of economic and social challenges. On top of this, it faces an unfavourable demographic structure and severe disparities between its northern and southern regions. Some promising reforms have recently been enacted, specifically targeting poverty and social exclusion. However, much more remains to be done on the way towards greater economic stability and widely shared prosperity

    Grating-coupled excitation of multiple surface plasmon-polariton waves

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    The excitation of multiple surface-plasmon-polariton (SPP) waves of different linear polarization states and phase speeds by a surface-relief grating formed by a metal and a rugate filter, both of finite thickness, was studied theoretically, using rigorous coupled-wave-analysis. The incident plane wave can be either p or s polarized. The excitation of SPP waves is indicated by the presence of those peaks in the plots of absorbance vs. the incidence angle that are independent of the thickness of the rugate filter. The absorbance peaks representing the excitation of s-polarized SPP waves are narrower than those representing p-polarized SPP waves. Two incident plane waves propagating in different directions may excite the same SPP wave. A line source could excite several SPP waves simultaneously
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