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  2. Proof Theory in the Abstract J. M. E. Hyland ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/pta02.pdf
    13 Aug 2008: We write objects as A = (A R), B = (B R) and so on. ... We write objects of RDill as A = (A R), B = (B R) and soon.
  3. GB-9-7-229-Amos_9.qxd

    https://www2.mrc-lmb.cam.ac.uk/groups/JYL/PDF/gb-2008-9-7-229.pdf
    4 Aug 2008: The A-tubuleand B-tubule [73] can be distinguished even after the loss of accessory structures. ... 2 nm10 nmA. A B. B. AA B. B. AA BB.
  4. Mathematical Tripos Part IA 2007F. Quevedo DIFFERENTIAL…

    www.damtp.cam.ac.uk/user/fq201/DEsummary1.pdf
    8 Apr 2008: From the fundamental theorem of calculus we. have(. Ib. ). c= f (b, c). ... Also, from direct differentiation. (. Ic. ). b=. b. 0. (. fc. ). xdx. Therefore, if. b = b(x), c = c(x), then.
  5. Paper1.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_13.pdf
    30 Oct 2008: We add and subtractf(b),. I[f,g,θ] = f(b). b. a. g(sin[ωθ(x)]) dx. ... b. a. [f(x) f(b)]g(sin[ωθ(x)]) dx. = f(b). b. a. g(sin[ωθ(x)]) dx.
  6. ANALYSIS II EXAMPLES 2 Michaelmas 2005 J. M. E. ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/an05-2.pdf
    19 Mar 2008: 4. Which of the following subsets of R2 are (a) open, (b) closed? ... 1. 2 ANALYSIS II EXAMPLES 2. 7. If A and B are subsets of Rn, we write A B for the set {a b : a A, b B}.
  7. Lineales Martin Hyland andValeria Paiva1 Thefirst aim ofthisnoteis…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/dph91.pdf
    28 Aug 2008: i)a b b-’-a1by prop 1.1. (ii)aa(a—oI)I-=ao a1Iimpliesaa’—oJa-byprop 1.2. Properties(i) and (ii) are calledby Dunn the Intuitionistic Contraposition. ... defineA 0 B anothertensorproductasfollows:. A a B = (U 0 V ----- X 0 Y).
  8. 8 Apr 2008: F |B〉 = |B〉 , ()F |F〉 = |F〉. The new operator ()F anticommutes with Qα since. ... FQα|F〉 = ()F |B〉 = |B〉 = Qα|F〉 = Qα()F |F〉 ={. ()F , Qα}. = 0. Next, consider the trace. Tr. {. ()F{. Qα , Q̄β̇. }}. = Tr{. ()FQα︸ ︷︷ ︸.
  9. doi:10.1016/j.jcrysgro.2008.04.046

    www.itg.cam.ac.uk/people/grae/85.pdf
    7 Aug 2008: a dashed line, is the computational domain, shown in (b). (b) A schematic of the. ... 5(b). Wehave applied the same numerical method to predict the values of.
  10. Lineales Martin Hyland andValeria Paiva1 Thefirst aim ofthisnoteis…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/dph91.pdf
    28 Aug 2008: i)a b b-’-a1by prop 1.1. (ii)aa(a—oI)I-=ao a1Iimpliesaa’—oJa-byprop 1.2. Properties(i) and (ii) are calledby Dunn the Intuitionistic Contraposition. ... defineA 0 B anothertensorproductasfollows:. A a B = (U 0 V ----- X 0 Y).
  11. On full abstra tion for PCF:I. Models, observables and ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/ho00.pdf
    22 Aug 2008: A:a;f = a;g : 1! B;we say that the model is extensional. ... A:a;f 6 a;g : 1! B;we say that the model is order-extensional.
  12. doi:10.1016/j.jcrysgro.2008.04.046

    www.itg.cam.ac.uk/people/heh/Paper212.pdf
    7 Aug 2008: a dashed line, is the computational domain, shown in (b). (b) A schematic of the. ... 5(b). Wehave applied the same numerical method to predict the values of.
  13. No Job Name

    https://www2.mrc-lmb.cam.ac.uk/groups/JYL/PDF/vandenent2008ftsq.pdf
    4 Mar 2008: The topology of thea-domain is b-a-a-b-b, where the third b-strand is packedin between the first and the second strands. ... coli FtsQ (green) on the b-domain of DivIB from G. stearothermophilus (blue).
  14. 29 Oct 2008: Sq H $#(w &y"w } 2tH &D4 B-B } 2tH &w%wt&'u. ... xK.ucw (! sv"8=ds-B-B-8&'u#xh+.144 s w64! udw H.
  15. Mathematical Tripos: IA Vector Calculus Contents 0 Introduction i ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/VC_2000.pdf
    17 Jan 2008: a.b = b.a = a1b1 a2b2 a3b3 , (0.7a)a b a b = b a (0.7b). =. ... 0.8). Alternatively, if a = |a|, b = |b| and θ is the angle between a and b, then.
  16. 26 Jun 2008: $. "5A "%. "",5,. $! "!$! %. 5,!B"B"B"7$,B! 3! C. ""$ "%. 5,",. "!$"! %. 5,B,B! $ 36. 5,7$,. ($ -$ 5 895A 23. ... $! "!$! %. 5,!B"B"B"7$,B! 3! C. ""$ "%. 5,",. "!$"! %. 5,B,B! $ 36. 5,7$,! "# #. $%& $''(')$) $). J2J-2T2-222E? 2 3 88
  17. Mich. 2008 ANALYSIS II—EXAMPLES 4 PAR 1. Show that ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2008-2009/08sheet4.pdf
    30 Nov 2008: around (a, b), and that D2f exists at (a, b).Show that f is differentiable at (a, b).(b) Suppose instead that D1f exists and is bounded on some open ball ... around (a, b), and that for fixed xthe function y 7 f (x, y) is continuous.
  18. 4 Dec 2008: "#$ %&('"#) ,. -. / 01 2. 3456 789;: <: =>?@ =. A @ B: =: <?C => <D BE<93. >F =@ <EG>? ... L U=SS= BL :UFN J= Ë:F QK. H9; JM y=P;F BA JM;F;; B= B=> BAMN?=MU= KKAP= B; KKÞ U IF :<A Q=M I<?
  19. The S-replete construction J.M.E. Hyland M.Hyland@pmms.cam.ac.uk…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/hm95.pdf
    21 Aug 2008: p = cod: B B).The first case is of interest in the context of Classical Domain Theory, while the second one istypical of SDT. ... Example 1.12 Given a quasi-topos B, let p = cod: B B (and CI = B/I), then:. •
  20. doi:10.1016/j.neuropsychologia.2008.02.026

    www.memlab.psychol.cam.ac.uk/pubs/Ally2008%20Npsygia.pdf
    31 May 2008: B.A. Ally et al. / Neuropsychologia 46 (2008) 1800–1812 1801. f stud. ... 1806 B.A. Ally et al. / Neuropsychologia 46 (2008) 1800–1812. ic per.
  21. doi:10.1016/j.physe.2007.09.161

    www-g.eng.cam.ac.uk/nms/publications/pdf/Hasan_PE2007.pdf
    27 May 2008: visual inspection even after 6 months of incubation. r 2007 Elsevier B.V. ... Yin, M.S. Ünlü, B.B. Goldberg,. A.K. Swan, S.B. Cronin, Nano Lett.
  22. The S-replete construction J.M.E. Hyland M.Hyland@pmms.cam.ac.uk…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/hm95.pdf
    21 Aug 2008: p = cod: B B).The first case is of interest in the context of Classical Domain Theory, while the second one istypical of SDT. ... Example 1.12 Given a quasi-topos B, let p = cod: B B (and CI = B/I), then:. •
  23. MATERIALS DATA _2003_ version 3

    www-mdp.eng.cam.ac.uk/web/library/enginfo/cueddatabooks/materials.pdf
    3 Jan 2008: B. A. B. Le. athe. r D. B. B. B. B. ... E. A. A. B. B. N. atur. al R. ubbe. r (N.
  24. Linear Analysis T. W. Körner January 8, 2008 Small ...

    https://www.dpmms.cam.ac.uk/~twk10/LA.pdf
    8 Jan 2008: a‖ = max1jn. |aj|. defines a norm on Fn.(iii) Show that, if a, b Fn, then. ... f (a) = 1 when a A. f (b) = 0 when b B.
  25. doi:10.1016/j.physe.2007.10.024

    www-g.eng.cam.ac.uk/nms/publications/pdf/Mattevi_PE2007.pdf
    27 May 2008: Hofmann, C. Ducati, B. Kleinsorge, J. Robertson, Appl. Phys. Lett. 83 (2003) 135. ... Swan,. M.S. Unlu, B.B. Goldberg, M.A. Pimenta, J.H. Hafner, C.M. Lieber,.
  26. Microstructural studies for rheology

    www.damtp.cam.ac.uk/user/hinch/teaching/cemracs2008.pdf
    25 Jul 2008: Spheroid: axes a, b, b, aspect ratio r = ab. rod r > 1 disk r < 1. ... A B C. r r 22(ln 2r3. 2). 6 ln 2r11r 2.
  27. Topics in Analysis: Example Sheet 1 Lent 2007-08 N. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2007-2008/sheet1.pdf
    4 Feb 2008: 5) Prove the statement (b) of problem (4) above by completing the following. ... 6) Let f : B B be a continuous map from the open disc B = {(x, y) R2 : x2 y2 < 1} into it-self.
  28. Chapter 2 Dynamical Examples 2.1 Velocity and Acceleration in ...

    www.damtp.cam.ac.uk/user/reh10/lectures/ia-dyn-chapter2.pdf
    26 Feb 2008: constant k:. mẍ = kx. so x = A sin(. k/m t) B cos(. ...  = E B|B|2. The advantage of writing the results in vector notation, rather than in coordinates, is that they are thentrue in any coordinate system (and not just the
  29. Combining effects: sum and tensor Martin Hyland,1 Gordon Plotkin2 ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2006/hpp06.pdf
    7 Aug 2008: Combining effects: sum and tensor. Martin Hyland,1 Gordon Plotkin2 and John Power2? 1 Dept. of Mathematics, University of Cambridge, Cambridge CB3 0WB, England.email: M.Hyland@dpmms.cam.ac.uk. 2 Laboratory for the Foundations of Computer Science,
  30. Optimization Michael Tehranchi/DPKExample sheet 1 - Easter 2008 1. ...

    https://www.dpmms.cam.ac.uk/study/IB/Optimization/2007-2008/example1.pdf
    1 Nov 2008: are dual problems, where Q is a symmetric, positive definite n n matrix and b, c Rn. ... replaced by the perturbed vector b() = (2 1, 5 2, 6 3)T.
  31. 26 Jun 2008: M P7D5 ('%6. $,? 5? 6. >5 #CCC'6. ;B<5 446. )6. ... 4 W-/-/<!B@@#-. 24.4 W-. 25!- 6. 2? 4.F,. 2-? -- 4.//.
  32. QCDlect1.dvi

    https://www.hep.phy.cam.ac.uk/theory/webber/QCDlect1.pdf
    4 Dec 2008: 5. A, α p B, β δAB". gαβ (1 λ)pαpβ. p2 iε. #. ... in 1/ log(Q2/Λ2):. αS(Q) =1. b ln(Q2/Λ2). ". 1 b′. b.
  33. Chapter 8 Orbits 8.1 Conics Conic sections — first ...

    www.damtp.cam.ac.uk/user/reh10/lectures/ia-dyn-chapter8.pdf
    26 Feb 2008: Hence E = 1. 2mV 2 and h = V b (because h = |r ṙ|);. ... Φ, Φ δΦ). Let. k =qQ. 8π0E. so that. b = k cot 12Φ,.
  34. ALGEBRAIC TOPOLOGY (PART II)EXAMPLE SHEET 2 CAUCHER BIRKAR (1) ...

    https://www.dpmms.cam.ac.uk/study/II/AlgebraicTopology/2007-2008/top-exa2.pdf
    23 Feb 2008: b) If m < n, then every map Sm Sn is homotopic to a. ... Suppose that the maps A A′, B B′, D D′, and E E′.
  35. ALGEBRAIC TOPOLOGY (PART II)EXAMPLE SHEET 3 CAUCHER BIRKAR (1) ...

    https://www.dpmms.cam.ac.uk/study/II/AlgebraicTopology/2007-2008/top-exa3.pdf
    3 Mar 2008: Hn1(K) Hn(A B). f. . . y. . . y. f. ... Hn1(K′). Hn(A′ B′). (b) Show that if the homomorphisms Hn(A B) Hn(A′.
  36. THE CARTESIAN CLOSED BICATEGORY OFGENERALISED SPECIES OF STRUCTURES…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/fghw08.pdf
    19 Aug 2008: A B. S''OO. OOOOOO. OOOO eAB // P(A B). S]. PA PB. ... def. (〈a〉, 〈〉. ), S. (ι2(b). )=def. (〈〉, 〈b〉. )for a A and b B.
  37. s.dvi

    https://www.statslab.cam.ac.uk/~rrw1/stats/Sa5.pdf
    4 Dec 2008: n) = 1. Then for large n, Sn is approximately standard normal: for a < b,. ... limn. P(a Sn b) = Φ(b) Φ(a) = limn P(. nµ aσ.
  38. Molecular Ecology (2007) 16 , 3947– 3954 doi:…

    www.jiggins.gen.cam.ac.uk/pdfs/carpenter07.pdf
    18 Feb 2008: O B B A R D ,. X U L I O M A S I D E. †.
  39. s.dvi

    https://www.statslab.cam.ac.uk/~rrw1/stats/Sa4.pdf
    4 Dec 2008: n) = 1. Then for large n, Sn is approximately standard normal: for a < b,. ... limn. P(a Sn b) = Φ(b) Φ(a) = limn P(. nµ aσ.
  40. 3 Oct 2008: a b) (c d) = (a b)i(c d)i= (ǫijkajbk)(ǫilmcldm). = ǫijkǫilmajbkcldm. = ( ... Eliminate E:. 2B. t2= E. t= 1. µ0ǫ0 ( B). Now use the identity ( B) = ( B) 2B and Maxwell’sequation B = 0 to obtain the (vector) wave equation.
  41. Lent Term 2008 M. Strauch Number Fields: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/II/NumberFields/2007-2008/course_L08_ex1.pdf
    20 Jan 2008: If R is a domain, then a b (a|b b|a). We call an elementa RR irreducible if for any factorization a = bc one of b,c is a unit ... θ =12. (a b. 7 c. 2 d. 14) ,. where a,b,c,d are rational integers.
  42. finite elements

    www-mdp.eng.cam.ac.uk/web/library/enginfo/textbooks_dvd_only/DAN/finiteElements/finiteElements.pdf
    3 Jan 2008: step. Any one of these equations (B) is. redundant, but its deletion is. ... Using this mapping, differentiation and inte-gration may be expressed as :-. /z = ( 2/b ) /L and, for integer index 'p', the integral over the length 'b' b L.
  43. doi:10.1016/j.str.2008.06.010

    https://www2.mrc-lmb.cam.ac.uk/groups/rlw/download/publications/18786397.pdf
    3 Sep 2008: layers, an A layer and a B layer. Within the A layer, successive. ... eration above positions A and B are labeled as A1. and B1, respectively.
  44. Lect List 2008 215309

    https://www.reporter.admin.cam.ac.uk/reporter/2008-09/special/01/pdfs/philosophy.pdf
    19 Sep 2008: MR N. C. DENYER, PROF. M. SCHOFIELD AND DR R.B. B. ... B. B. WARDY (CLASSICS)Aristotle on nature and change Tu. 12 (4.
  45. jsac.dvi

    https://mobile-systems.cl.cam.ac.uk/papers/jsac.pdf
    1 Apr 2008: m.i = i i interests[x] m received[x] then5: send (m, x)6: m.replica TRUE7: if m.next = then8: send (m, m.next)9: B B{m}. ... 14: if m.replica =TRUE m.T T L < maxT T L then5: B B{m}.
  46. Adaptive Distributed Indexing for Spatial Queries in Sensor Networks…

    https://mobile-systems.cl.cam.ac.uk/papers/mdds05.pdf
    5 Oct 2008: The sensors A, B, C and D are distributed over a large space and measure pollution levels in the air. ... Sensors A, B and C are relatively stable and report changes on average once per day.
  47. doi:10.1098/rspa.2006.1750

    www-g.eng.cam.ac.uk/advancedstructures/files/pdf/seffen2007b.pdf
    8 Jan 2008: Dimensionless. U ZU$12ð1Kn2=bÞa3=Ept5bx, y, z orthogonal coordinates within plate; z is normal to the middle surfacea dimensionless torsional rigidity equal to 2r(1Kn2/b)b, r modular ratios, equal ... sx ZE. ð1Kn2=bÞ ex Cney; sy ZEb. ð1Kn2=bÞ ey
  48. Complex analysis IB 2007 — lecture notes A J ...

    https://www.dpmms.cam.ac.uk/~ajs1005/complex/notes_2006-7.pdf
    1 Feb 2008: Curve is a continuous map from a closed interval γ : [a,b] C. ... γf dz. • reparameterisation: if φ: [a′,b′] [a,b] is C1 and φ(a′) = a, φ(b′) = b thenif δ = γ φ: [a′,b′] U, have.
  49. doi:10.1016/j.entcs.2006.04.024

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2006/hnpr06.pdf
    18 Aug 2008: Theorem 4.1 Every symmetric monoidal adjunction from A to B lifts to an ad-. ... Theorem 4.2 Given symmetric monoidal categories A and B and given an ordi-.
  50. Blender 3D: Noob to Pro - Beginner Tutorials/Print version ...

    www-mdp.eng.cam.ac.uk/web/CD/engapps/drawing/blender1.pdf
    26 Jun 2008: 0! F. B. Blender 3D: Noob to Pro - Beginner Tutorials/Print version - Wikibooks. ... B#B)1#''3 3 5 3 '3 7 3 , / 9 3 :' 3 9. '
  51. On Dynamics and Transport Near the Polar Mesopause in Summer

    www.damtp.cam.ac.uk/user/mem/mcintyre-mix-efficiency-jgr89.pdf
    23 Sep 2008: a) 0. (z) (time integrated) Final I. (b) D. Fig. 2.

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