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9 Oct 2009: For X a poset, let. P (X) = [X op, 2] be the poset of down- .

15 Feb 2021: Letp OK be a prime above p Q. Write Op for the localization of OK at p. ... mor-phisms G GLd(Op)). Then composing ρ,τ with the projection GLd(Op) GLd(kp) yieldsabsolutely irreducible representations ρ̃, τ̃.

4 Mar 2003: Lemma 3.2 Let k be a number field, and let p be a prime not dividing 3.Let op denote the ring of integers of kp. ... im δp op/o3p if ordp(A) 0 (mod 3). (7). If ω kp then Tate local duality tells us that im δp is a maximal isotropicsubspace with

13 Aug 2008: Definition 3.1 A Lawvere theory is a small category L with finite productstogether with an identity on objects strict finite product preserving functorj : N op L. ... The significance of N op here is that it is the free category with strictly

13 Aug 2008: A, {a′ A | a′ a} is well-founded with respectto ()op, that is there are no infinite sequencesA a1 a2 satisfying ai a for alli N. ... In terms of concrete data structures thiskind of situation might apply if, in order to fill the cell Op-ponent asked

5 Jun 2020: In particular,. H̃n = H OP(. 1logn. ). (c) L1 and L2 lower bounds.

1 Feb 2005: ù n mÿRùÿRôÍúÂú»ñ Ôp'£r e4 6Ô re¥¡¡£ 292P kÍ5gÙxÚ ¥ª1¡1P¥. ... Þß6àxáâàxããPÇïuF(ïðÍñ Ô ôröe ôÊÿû eû LûsùÿÏûüøsùôÊÿCôÍø (òó?)úPüþ ûeÿ£û ÈÌËRÔÕÐ|2Èä:" è ËCÔÕÐæå Lü

5 Jun 2020: Gray and Linder show that op-timum high-rate performance for mean-squared distortion canbe achieved even if the quantizer codebook is mismatched withrespect to the source (specifically, if it is

13 Sep 2017: RELATIVE PSEUDOMONADS, KLEISLI BICATEGORIES,. AND SUBSTITUTION MONOIDAL STRUCTURES. M. FIORE, N. GAMBINO, M. HYLAND, AND G. WINSKEL. Abstract. We introduce the notion of a relative pseudomonad, which generalizes the notionof a pseudomonad, and

5 Jun 2020: C. Implementation Issues and Simulation Results. As stated in Theorem 1, the algorithm converges to op-timality if the rate at which the databases are refinedtends to infinity while tends to