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23 Feb 2006: MotivationsTo understand the relationship between string and gauge theories for semi-classical, magnetic strings.To develop a new perspective on soliton scattering in field theory.

12 May 2006: They would provide a window onto new microscopicphysics that is not accessible in terrestrial experiments.

12 Sep 2006: qi eiσqi coincides with the gauge action and does not lead to any new physical state. ... action qi eiσqi with qi1 e. iσqi1 does now sweep out a new physical configuration.

27 Nov 2006: We begin with the derivation of a new asymptotic expan-sion, which has the property that the accuracy improves as the frequency of oscillationsincreases. ... We first present the Iserles and Nørsett expansion, to motivate the methodologybehind the new

24 Jan 2006: In a second step, an orthogonal matrix U issought that diagonalizes the new target set {W̃ T C1W̃ ,. , W̃. T C1W̃ }. This yields a separatingmatrix W = W̃ U ; see, for example, ... Com94] Pierre Comon, Independent component analysis, A new concept?,

26 Jul 2006: the requisite order of error. We now show that this new Levin-type method is equivalent to the originalLevin-type method. ... Thus. D̄(P D̄1W D̄G)D̄1 = P W G,. It follows that, where B2 = P D̄1W D̄G is the matrix associated with the new Levin-type

22 May 2006: we can form a new sequence S1,S2,S3,. , where. Sn = u1 u2. ... uk} in any manner to form a new series. The two series have the same sum.Not true for a divergent series.

20 Apr 2006: a new geodesic flow thatis not of rigid body type on the Lie group Sp(nR). ... Borisov, A.V., S.I. Mamaev, and V.V. Sokolov [2001], A new integrable case onso(4), Dokl.

31 Aug 2006: April, 2006. 1Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800,Christchurch 8020, New Zealand. ... Anderson and C. Greengardeds, Lecture Notes in Mathematics 1360, Springer-Verlag, New York, 1988.

7 Sep 2006: Similarly to the three-dimensional case, in addi-tion to the VP-VP, VP-RP, and RP-RP complexes, there are new classes ofsolitary waves that have no analog in

22 May 2006: O(n!) mathematical operations (, ), whereas this new method of reductionto upper (lower) triangular form requires only O(n3) operations.

28 Oct 2006: This. isa. super. vis. or’. sco. py. ofth. enote. s.It. isnot. tobe. dis. trib. ute. dto. studen. ts. Natural Sciences Tripos: IB Mathematical Methods I. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Books. ii. 0.3 Lectures. ii. 0.4 Printed

2 Sep 2006: By selecting convenientlythe stability polynomial, new integration methods with processing are builtwhich are orders of magnitude more efficient than other algorithms previouslyavailable. ... In consequence,when designing new integration schemes of the

20 Jun 2006: Henrici, P. (1986),Applied and Computational Complex Analysis, Vol. 3, John Wiley & Sons,New York.

24 Nov 2006: BIT Numerical Mathematics (2006)46:000-000 c Springer 2006.DOI:10.1007/s10543-000-0000-x. B-series methods cannot be volume-preserving. A. ISERLES1, G. R. W. QUISPEL23, P. S. P. TSE4. 1Department of Applied Mathematics and Theoretical Physics,

23 Nov 2006: The scheme (2.12) is very expensive, since (i) the Jacobian must be re-evaluated in each iteration;(ii) a new linear system must be solved for every j. ... 3] P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, Wiley, New York, 1962.

28 Oct 2006: This. isa. super. vis. or’. sco. py. ofth. enote. s.It. isnot. tobe. dis. trib. ute. dto. studen. ts. Natural Sciences Tripos: IB Mathematical Methods I. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Books. ii. 0.3 Lectures. ii. 0.4 Printed

11 Nov 2006: 60. 4.5.1 Matrix notation. 61. 4.5.2 Examples (including some important new definitions of maps). ... Remark. All the above operations on elements of C result in new elements of C.