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17 Mar 2017: Let hA(x) = Px(TA < ) and kA(x) = Ex[TA]. Theorem 2.2. ... kA(x) = 0 x A. QkA(x) =y. qxykA(y) = 1 x / A.

25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on

11 Nov 2009: How to Write a Part III Essay. T. W. KörnerTrinity Hall. These unofficial notes replace an earlier set by Marj Batchelorwhich were becoming illegible through repeated photocopying. Manyof the key pieces of advice are taken almost word for word

26 Apr 2006: pjw6Onj[tkj"t8z}}nNpxoLsOvX}r6r[sOYj[v.Srt3nN vjwp3n.yro8zìáKáç!Ká%é¤èäYrodpxq6n66oLrtLn.tXrw|!pxq!sOt1Yj[hn.o.lQn6rW6r[p(o3nN6sOoLnjW6nNY!sSpxsSrBr[|!p3qYjwpÁlQntLsO}6Sz6n.nNpxr6rl

16 May 2002: KA"C@=JDc3[.@]?KQ100"de_U=J Y?:557C1?f]Q@Dg5:.T3[0 2@= QB= 0"Q1?K3<hSi2T8:3U?:?:3NDj873k57.10"?:3k0lFW5:.T3bCT5:.T0 8m0"Q@Y ... E"Ū/¥¥]ª«E»4k«CB"«E/»]ªºP«eÄES/Wcª/)ÈÉSÄEªÅªHcª«E»4o"/«D7»]SÄEÁ«ÆµcFD7/»Ó"ªº"Wc«kÅ/Lc>«E

29 Jan 2010: y0! (R0iig Symk F)x! (R1g! Symk F)x! (R1g Symk F)x! 0k k kA B CHere the top line is the exact sequence (2.8.1), and the bottom

8 Nov 2007: Definition 2.14. Let Σ be a 3-manifold, ḡ a Riemannian metric on Σ, and Ka symmetric covariant 2-tensor.

20 Dec 2018: Coding and Cryptography. T. W. Körner. December 20, 2018. Transmitting messages is an important practical problem. Coding theoryincludes the study of compression codes which enable us to send messagescheaply and error correcting codes which ensure

19 Feb 2003: Then. ‖A‖ = limk. (kA)k. Gromov showed [Gro2] that the open unit ball of the stable norm coincideswith the sectional shape of U.

21 Aug 2008: 1. ): ka#. and. (S. 2. ) 9a 2 U:fa(ga)# =) sfg#:.