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Mixing the purely academic with the real world requirements of industry , the Institute 's research activities focus on all-solid-state and semiconductor light sources , spanning materials , device , and system development , as well as applications work . For example , physical dimensions form a vector space over the reals , where vector addition is multiplication of physical dimensions , and scalar multiplication corresponds to exponentiation defined on physical dimensions and real numbers . For example , are scalar physical quantities isomorphic to the reals ? The change towards defined-contribution pension plans is likely in many respects to have been a good thing , since people who retired and lived a long time under defined-benefit plans often saw a substantial part of the real value of their pension eroded by inflation . It turned out that Units-of-Measure not only form an abelian group as noted above , but from the stated axioms it was also true that it forms a vector space over the reals . " " Elaine is the real thing , " says New Yorker theater critic John Lahr , who with Stritch is co-author of the show . Not the fake desperation attributed by Dickless to the insurgency , but the real desperation that is informed by 36 % approval for the president and a one-point deficit to the Dems on national security . It raises concerns regarding the accuracy and ' proportion ' in reporting of health risks of milk sold by hawkers and tells the real story of the dairy industry and dependent livelihoods .