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Williams of Deudraeth
https://www.dpmms.cam.ac.uk/~tef10/williams.html20 Feb 2008: During the war, they had come under the control of the Board of Agriculture, until 1918 when their care was passed to a Central Committee of the new National Federation of -
Algebra and Logic Martin Hyland Modern algebra and logic ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Slides/abstract1.pdf12 Aug 2008: suspicion by many mathematicians. Hilbert, himself responsible for new forms of mathe-. -
Mich. 2008 GRAPH THEORY – EXAMPLES 1 IBL 1. ...
https://www.dpmms.cam.ac.uk/study/II/Graphs/2008-2009/graph20081.pdf28 Oct 2008: Show that G is a tree if and only if theaddition of any edge to G produces exactly 1 new cycle. -
Thoughts on the Essay Question T. W. Körner November ...
https://www.dpmms.cam.ac.uk/~twk10/Excess.pdf5 Nov 2008: If I was marking Question 3, I think that I would give full marks toan essay which included a satisfactory treatment of (v) (it is essential thatour new definition of xn ... Some people mightfeel that I should have included the fact that x0 = 1 (though -
Some improvements to 4-descent on an elliptic curve Tom ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/fourdesc.pdf2 Feb 2008: δ = 26565975θ3 327644415θ2 917786936θ 582546987. and ξ1 = 4725θ359165θ2168496θ106600 in F1 /Q(F1 ). 2. We then multiplyδ and ξ1 in F. 1 and recover a new 2-covering D. ... The main new ingredient is a certain generalisation of the -
Dr. Thomas ForsterDepartment of Pure Mathematics and Mathematical…
https://www.dpmms.cam.ac.uk/~tef10/BILAPintro.pdf22 Sep 2008: In that capacity I was able to organise the New Foundations 70th anniversary meeting, and a meeting onLogic and Rhetoric. -
ALGEBRAIC TOPOLOGY MICHELMAS 2008 EXAMPLE SHEET 3 1. Suppose ...
https://www.dpmms.cam.ac.uk/study/II/AlgebraicTopology/2008-2009/Examples3.pdf14 Nov 2008: b) If X is a simplicial complex, show that CX can be given the structure of a simplicialcomplex with one new vertex v0 and a new (n 1)-dimensional simplex for -
Michaelmas Term 2003 J. M. E. Hyland Linear Algebra: ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/jordan03.pdf12 Aug 2008: We can extend this to a basis of Imαd2 by elements which are also eigenvectors; and we find elements whichgo to these new elements under αd2. -
Topological GroupsPart III, Spring 2008 T. W. Körner March ...
https://www.dpmms.cam.ac.uk/~twk10/Topg.pdf8 Mar 2008: Springer-Verlag, New York, 2002. [2] L. H. Loomis Abstract Harmonic Analysis Van Nostrand, Princeton,1953. ... WileyClassics Library. A Wiley-Interscience Publication. John Wiley and Sons,Inc., New York, 1990. -
CODES AND CRYPTOGRAPHY – Example Sheet 4 TKC Michaelmas ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2007-2008/Exercise_4.pdf8 Feb 2008: Itherefore find a new pair of primes and announce that I shall be using the Rabin code with modulusN′ > N. ... 8. Describe the Elgamal signature scheme. Alice uses the Elgamal signature scheme to sign a sequence of messages, incrementing the value ofk -
Optimization Michael Tehranchi/DPKExample sheet 2 - Easter 2008 16.…
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2007-2008/example2.pdf1 Nov 2008: What would the new maximal flow be? 27. By finding a suitable potential on the nodes of the network in the figure (i.e., a set ofsuitable node numbers), show that -
mlics.dvi
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/hs02.pdf13 Aug 2008: We provide a new approach to the sequen-tially realizable functionals via a new notion of computa-tion. ... The product AB is the ‘coalesced sum’ of the gamesA and B, identifying A with B to give the new initialposition. -
STATISTICAL MODELLING Part IIC. Example Sheet 3 (of 4) ...
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2007-2008/controlled/ex3.pdf3 Feb 2008: Givea prediction Ŷ of the brain weight Y of a new mammal with body weight 30kg,together with a 95% prediction interval. -
A Term Calculus for Intuitionistic Linear LogicNick Benton1, Gavin ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdphtlca93.pdf27 Aug 2008: Given our termcalculus it is our hope that this rened setting should shed new light on variousproperties of the -calculus such as Church-Rosser, strong normalisation and optimalreductions.References1. -
Number theory, ancient and modern John Coates 1 IntroductionNumber ...
https://www.dpmms.cam.ac.uk/study/II/NumberTheory/2008-2009/hangzhou.pdf13 Oct 2008: Thekey to defining these new L-functions is via Euler products, so named becauseEuler in the 18th century proved the identity. ... But a totally new phenomena canoccur here, as was discovered about 1960 by Birch and Swinnerton-Dyer [3]. -
A Term Calculus for Intuitionistic Linear LogicNick Benton1, Gavin ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdphtlca93.pdf27 Aug 2008: Given our termcalculus it is our hope that this rened setting should shed new light on variousproperties of the -calculus such as Church-Rosser, strong normalisation and optimalreductions.References1. -
Church’s Set Theory with a Universal Set Thomas Forster ...
https://www.dpmms.cam.ac.uk/~tef10/church2001.pdf7 May 2008: REMARK 17 Under the three assumptions above the new model admits an an-timorphism. ... 10. REMARK 18 Under the three assumptions above, the new model obeys -deter-minacy. -
Combining computational effects: commutativityand sum Martin Hyland,1 …
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/hpp02.pdf19 Aug 2008: new strong monad T T ′, such that, in thecase where T ′ = (S )S , the monad T T ′ is T (S )S , which computationalexperience tells us is the natural combination of state ... pair (L, L′) of enrichedLawvere theories, gives a new enriched Lawvere -
TRANSACTIONS OF THEAMERICAN MATHEMATICAL SOCIETYVolume 00, Number 0,…
https://www.dpmms.cam.ac.uk/~taf1000/papers/pfaffians.pdf16 Jul 2008: For E decomposable the situation is not new. Indeed we can write E 'O(D1) O(D2) where D1, D2 are divisors on C with D1 D2 = H. ... J. Math. 99 (1977) 447-485. [E] D. Eisenbud, Commutative algebra with a view toward algebraic geometry, GTM -
Pi-Calculus, Dialogue Games and PCF�J. M. E. Hylandy C.-H. ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho95.pdf21 Aug 2008: Althoughthe -representation of strategies already gives an encodingof pcf in the -calculus { indirectly via the fully abstractdenotation of pcf-terms as innocent strategies, we dene byrecursion a new encoding of pcf ... An important feature of -
Linear �-Calculus and Categorical ModelsRevisitedNick Benton1, Gavin…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdphcsl93.pdf27 Aug 2008: that we have just given is quite familiar, though thecorresponding equational calculus seems new (if only because our syntax is new).We note however that (following Seely [16]) it has become ... which involves the full category of coalgebras)is -
Linear �-Calculus and Categorical ModelsRevisitedNick Benton1, Gavin…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdphcsl93.pdf27 Aug 2008: that we have just given is quite familiar, though thecorresponding equational calculus seems new (if only because our syntax is new).We note however that (following Seely [16]) it has become ... which involves the full category of coalgebras)is -
Modi�ed Realizability Toposes and Strong Normalization Proofs…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho93.pdf21 Aug 2008: Bee85, Ch. VI]; not so. in the case of c-pcas. As far as we know, the notion of c-pca is new. ... interpretation of implication, of which more anon. Modied Realizability Triposes Our aim for the rest of this section is to show that a new class. -
Abstra t Games for Linear Logi Extended Abstra t ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/hs99.pdf22 Aug 2008: CUP, 1997.[2 S. Abramsky and R. Jagadeesan. New foundations for the geometry ofintera tion. ... New foundations for the geometry ofintera tion. Inf. and Comp., 111(1):53{120, 1994.[5 S. -
Modi�ed Realizability Toposes and Strong Normalization Proofs…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/ho93.pdf21 Aug 2008: Bee85, Ch. VI]; not so. in the case of c-pcas. As far as we know, the notion of c-pca is new. ... interpretation of implication, of which more anon. Modied Realizability Triposes Our aim for the rest of this section is to show that a new class. -
Abstra t Games for Linear Logi Extended Abstra t ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/hs99.pdf22 Aug 2008: CUP, 1997.[2 S. Abramsky and R. Jagadeesan. New foundations for the geometry ofintera tion. ... New foundations for the geometry ofintera tion. Inf. and Comp., 111(1):53{120, 1994.[5 S. -
THE CARTESIAN CLOSED BICATEGORY OFGENERALISED SPECIES OF STRUCTURES…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/fghw08.pdf19 Aug 2008: Our second aim is twofold: to give an abstract theory of the substitu-tion calculus of generalised species and to further enrich the calculus ofcombinatorial species by adding a new dimension ... However, the closed structure exhibited in this -
K0 AND THE DIMENSION FILTRATION FOR p-TORSIONIWASAWA MODULES…
https://www.dpmms.cam.ac.uk/~sjw47/rankskzero.pdf20 Feb 2008: The resultnow follows from the new definition of χ(G,M) given in (8.4). -
Variations on Realizability: Realizing the Propositional Axiom of…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/vor02.pdf13 Aug 2008: 1. the propositions-as-types sense.1 We write the instance of the axiom above asAC(X Y ). The models I consider are not new. Some are derived from old ... Then one can define a new preorder on P(A)I by. φ (B) ψ if and only if. -
Linear Analysis T. W. Körner January 8, 2008 Small ...
https://www.dpmms.cam.ac.uk/~twk10/LA.pdf8 Jan 2008: Observe that this gives us a new proof that R is uncountable (and sotranscendental numbers exist) which does not depend on establishing decimalrepresentation. ... Our new theorem establishes existence under much more general condi-tions that those of -
Abstract and ConcreteModels for Recursion Martin HYLANDDPMMS, CMS,…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/acmr08.pdf22 Jan 2008: The examples will probably be quite familiar, butwe shall look at them in a new way. -
Combining algebraic effects with continuations Martin Hyland,1 Paul…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2007/hlpp07.pdf7 Aug 2008: the equations of each collection of operations separately, possibly togetherwith other, new, equations. ... The exception is New Jersey Standard ML where the capture/escapemechanism gives modeling difficulties. -
Proof Theory in the Abstract J. M. E. Hyland ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/pta02.pdf13 Aug 2008: Starting withthis data we construct a new category Dial = Dial(p) which we regard as acategory of propositions and proofs. ... φ•(i,ξ) if and only if x ξ.φ(i,x). From the data just described we construct a new category Dill = Dill(p)which we again -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdph92.pdf27 Aug 2008: Term Assignment for Intuitionistic Linear Logic(Preliminary Report)Nick Benton Gavin Bierman Valeria de PaivaComputer LaboratoryUniversity of Cambridgefpnb,gmb,vcvpg@cl.cam.ac.ukMartin HylandDepartment of Pure Mathematics and Mathematical -
Machines and Their Languages G51MAL Dick Crouch Semester 2, ...
https://www.dpmms.cam.ac.uk/~tef10/cam_only/crouchnotes.pdf13 May 2008: You will probably find that the course introduces you to plethora of new termsand concepts. ... MATHEMATICAL PRELIMINARIES 21. the diagonal number will be 0.1234. Create a new number from the diagonal number by altering each digit ni,i asfollows. • -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdph92.pdf27 Aug 2008: Term Assignment for Intuitionistic Linear Logic(Preliminary Report)Nick Benton Gavin Bierman Valeria de PaivaComputer LaboratoryUniversity of Cambridgefpnb,gmb,vcvpg@cl.cam.ac.ukMartin HylandDepartment of Pure Mathematics and Mathematical -
Combining effects: sum and tensor Martin Hyland,1 Gordon Plotkin2 ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2006/hpp06.pdf7 Aug 2008: We do not claim thatthese formulae are particularly new, though they may sometimes be more generalthan have appeared previously. ... The corresponding strong monadT is the lifting construction () which adds a new least element. -
2007 lectures on Set Theory Thomas Forster February 5, ...
https://www.dpmms.cam.ac.uk/~tef10/cam_only/partiii2004.pdf5 Feb 2008: This gives us a new theory, which we will—of course—call T2. ... to “new stuff” in MPt /U (by which I mean (MPt /U) K“Mt). -
On full abstra tion for PCF:I. Models, observables and ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho00.pdf22 Aug 2008: Agood model enlightens; it gives a new perspe tive on the behaviour or operationalsemanti s of the programming language in question. ... Stable fun tions are not ordered by the standard extensional (or point-wise) ordering5 but by a new ordering alled -
On full abstra tion for PCF:I. Models, observables and ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/ho00.pdf22 Aug 2008: Agood model enlightens; it gives a new perspe tive on the behaviour or operationalsemanti s of the programming language in question. ... Stable fun tions are not ordered by the standard extensional (or point-wise) ordering5 but by a new ordering alled
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