منابع مشابه
Iia and Iib Spinors from K(e 10 )
We analyze the decomposition of recently constructed unfaithful spinor representations of K(E10) under its SO(9)×SO(9), and SO(9)×SO(2) subgroups, respectively, where K(E10) is the ‘maximal compact’ subgroup of the hyperbolic Kac–Moody group E10. We show that under these decompositions, respectively, one and the same K(E10) spinor gives rise to both the fermionic fields of IIA supergravity, and...
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We show that there exist knots K ⊂ S with g(E(K)) = 2 and g(E(K#K#K)) = 6. Together with [5, Theorem 1.5], this proves existence of counterexamples to Morimoto’s Conjecture [10]. This is a special case of [6]. Let Ki (i = 1, 2) be knots in the 3-sphere S, and let K1#K2 be their connected sum. We use the notation t(·), E(·), and g(·) to denote tunnel number, exterior, and Heegaard genus respecti...
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We construct simple exact solutions to the E 10 /K(E 10) coset model by exploiting its integrability. Using the known correspondences with the bosonic sectors of maximal supergravity theories , these exact solutions translate into exact cosmological solutions. In this way, we are able to recover some recently discovered solutions of M-theory exhibiting phases of accelerated expansion, or, equiv...
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The sets Sj are the sets of points to which μj is the closest center. In each step of the algorithm the potential function is reduced. Let’s examine that. First, if the set of centers μj are fixed, the best assignment is clearly the one which assigns each data point to its closest center. Also, assume that μ is the center of a set of points S. Then, if we move μ to 1 |S| ∑ i∈S xi then we only r...
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Objective: To compare the analgesic efficacy and safety of the single oral ketorolac pre & post operatively for dental extraction pain. and Methods: 49 Patients who were undergoing third molar extraction (impacted or other causes) were recruited into the study, over a period of one year. The patients were divided into four groups to receive ketorolac (20 mg) or placebo either preoperatively or ...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1906
ISSN: 0025-5572,2056-6328
DOI: 10.2307/3602525