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The case of an orthogonal basis
www.tcm.phy.cam.ac.uk/~pdh1001/papers/paper14/node5.html10 Feb 2004: In this case, Eq. (24) becomes.. -
General formalism for kinetic energy preconditioning
www.tcm.phy.cam.ac.uk/~pdh1001/papers/paper14/node4.html10 Feb 2004: 24). where we have used the relations.. ... 27). (28). Eq. (24) becomes.. -
Formulation of the problem
www.tcm.phy.cam.ac.uk/~pdh1001/papers/paper14/node2.html10 Feb 2004: Next: Principles Up: Preconditioned iterative minimization Previous: Introduction.. Formulation of the problem. A system of noninteracting particles in a potential. is described by.. (1). where. is the single-particle Hamiltonian of the system, with -
Bibliography
www.tcm.phy.cam.ac.uk/~pdh1001/papers/paper14/node11.html10 Feb 2004: Phys. Rev. 140 (4A), A1133 (1965). 24. -
Tale-10.dvi
www.tcm.phy.cam.ac.uk/~dek12/tales/Tale-10.pdf5 Mar 2004: illation, isg() = g(; S1) = vuut 14Æ1T exp 24( Æ1)24Æ1T 35 : (21)5. ... 0: (24)We an redu e its order to get the equationT dfd f = J: (25)6. -
Tale-09.dvi
www.tcm.phy.cam.ac.uk/~dek12/tales/Tale-09.pdf29 Sep 2004: Therefore, two hermitian opera-tors âx;y = Ax;yp2Hare well dened. As a result the ommutation relations ould be rewritten as[ax;ay = iL (24)[L;ax = iay (25)[L;ay = ... Indeed, we see that the ommutationrelations in the form of Eqs (24,25,26) forms the su -
Tale-03.dvi
www.tcm.phy.cam.ac.uk/~dek12/tales/Tale-03.pdf1 Aug 2004: Tale 3Supersymmetri Quantum Me hani s1. let us begin from well-known example of a linear os illator,whi h has the Hamiltonian:Ĥ = E ; Ĥ = p̂22m m!2x22 [p̂; x̂ = ih (1)Or, in dimensionless variables:P = vuut 1mh!p; q = sm!h x; (2)H = h! H; H = -
ANSWERS2004.dvi
www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam04sol.pdf13 Jan 2004: 0. ux1du. 1 u= 2πi (24). Identifying the sin πx and dividing through, the required result is obtained. -
Experimental Conditions
www.tcm.phy.cam.ac.uk/~bdj10/propaganda/conditions.html12 Nov 2004: 24.) At this point, the Test Proctor will interpret the results of the test. -
digress.dvi
www.statslab.cam.ac.uk/~rrw1/stats/digress.pdf10 Mar 2004: really sick?”. (c) “Have you not bathed or showered in the last 24 hours?”. ... Q̄s = “Have you bathed in the last 24 hours?”. With some (known) probability θ a subject answers Qs,. -
Fair Internet traffic integration:network flow models and analysis…
www.statslab.cam.ac.uk/~frank/PAPERS/kmbk1.pdf19 Nov 2004: We refer thereader to [24], p.214 for a definition and basic properties of sub-gradients of convex functions. ... Performance Evaluation (2002) 49, 451–469. [24] Rockafellar (T.), Convex Analysis. (1970) Princeton University Press. -
IPCost Article – Outline
www.statslab.cam.ac.uk/~frank/PAPERS/DHK.pdf10 May 2004: 7 The calculations underlying this chart are based on a peak rate of 64 kb/s and a mean rate of 24.8 kb/s for each voice connection. -
The Annals of Applied Probability2004, Vol. 14, No. 3, ...
www.statslab.cam.ac.uk/~frank/PAPERS/AAP007.pdf5 Jul 2004: Wα = AM1Mα,(24)whereM = diag(µ), A is theJ I matrix obtained fromA by eliminating thoserows ofA that are not indexed by elements ofJ, and. -
BRIEF REPORT Specific- and Partial-Source Memory: Effects of Aging ...
www.memlab.psychol.cam.ac.uk/pubs/Simons2004%20PsychAging.pdf17 Dec 2004: 001, andthe younger adults, G2(1) 172.3, p. 001. Specific-sourcediscrimination of the older adults (d 0.24) was significantlybetter as a result of multiple study exposures, G2(1) ... Journal of Ex-perimental Psychology: Learning, Memory, and Cognition, 24 -
The 3-D Prefrontal Cortex: Hemispheric Asymmetriesin Prefrontal…
www.memlab.psychol.cam.ac.uk/pubs/Ranganath2004%20JOCN.pdf3 Aug 2004: Test formats changesource-monitoring decision processes. Journal ofExperimental Psychology: Learning, Memory, & Cognition,24, 1137–1151. ... Journal of Neuroscience, 24,3917–3925. Ranganath, C., Johnson, M. K., & D’Esposito, M. -
fMRI Evidence for Separable and Lateralized PrefrontalMemory…
www.memlab.psychol.cam.ac.uk/pubs/Dobbins2004%20JOCN.pdf3 Aug 2004: MFG 9 45 25 29 50 4.24. MFG 10 45 47 11 29 3.91. ... SOG 19 39 83 24 19 4.06. MOG 19 33 75 18 11 3.34. -
Memory and Emotions for the September 11, 2001, Terrorist ...
www.memlab.psychol.cam.ac.uk/pubs/Budson2004%20Neuropsy.pdf26 Apr 2004: 0005. The three-way interaction was notsignificant, F(10, 315) 1.24, MSE 0.721, p. ... 05. 03. 03. Total. 24 1.00. 68 1.00. 81 1.00Factual recognition. -
Tuesday Informal Lunch Seminars
www.itg.cam.ac.uk/seminars/tue_1.10/lent_2004.html10 Feb 2004: 24 February. Steve Roper. (ITG). Magma fracture in tough materials. 2 March. -
flm903.dvi
www.itg.cam.ac.uk/people/heh/Paper180.pdf10 Jun 2004: a. r – riri. sandsaltricecouscoussugar slope 1.24. Figure 9. The non-dimensional radial excursion, (r ri )/ri , as a function of the aspect ratioa with a < 1.7 for sand, salt, ... A straight line through the origin atslope 1.24 has a regression -
flm661.dvi
www.itg.cam.ac.uk/people/heh/Paper178.pdf9 Mar 2004: J. Fluid Mech. (2003), vol. 497, pp. 167–199. c 2003 Cambridge University PressDOI: 10.1017/S002211200300661X Printed in the United Kingdom. 167. Solidification and compositional convectionof a ternary alloy. By ANDREW F. THOMPSON†, HERBERT E. -
flm608.dvi
www.itg.cam.ac.uk/people/heh/Paper177.pdf9 Mar 2004: 6.3 6.3 24.3 5.89 1.00 3.86 9.6 6.1 3.8 0.7417 6.3 6.3 24.3 10.71 1.00 ... 86 9.6 8.2 5.2 0.8118 6.3 6.3 24.3 20.37 1.00 3.86 9.6 11.3 7.1 0.8919 13.2 -
jb002019 1..16
www.itg.cam.ac.uk/people/heh/Paper176.pdf9 Mar 2004: are captured by Figure 4.[24] The calculations in Figure 4 illustrate that volcanic. -
flm517.dvi
www.itg.cam.ac.uk/people/heh/Paper175.pdf9 Mar 2004: 6 1.9 1.7ID 20 26.5 1.4 1.3IE 23 20 3.9 10.5IF 12 18 4.0 11.25IG 24 20 4.1 11.5. ... IIA 23 26 5.22 2.62 29 48IIB 17.5 24 5.36 2.68 30 48IIC 15 21 5.94 2.01 25 24IID 28 15 7.02 -
59576 479..507
www.itg.cam.ac.uk/people/heh/Paper173.pdf9 Mar 2004: H.) 3–24 (Springer, Berlin, 1990). 5. Nakada, S., Shimizu, H. & Ohta, K. -
J. Fluid Mech. (2002), vol. 472, pp. 333–371. c© ...
www.itg.cam.ac.uk/people/heh/Paper172.pdf9 Mar 2004: Sm =. 0. (ni=1. ψi(0) exp (2Viy))1/2. dy. (2.24). Recall thatn. ... 1 = 2/H0. (3.24)Hence from (3.16), by forming an expansion for ϕi, we find that. -
J. Fluid Mech. (2002), vol. 458, pp. 283–301. c© ...
www.itg.cam.ac.uk/people/heh/Paper171.pdf9 Mar 2004: These substitutions transform (2.24) into. uN = I(hN) = Fr(hN) h1/2N. ... Appendix. The functions I and χA.1. The function I(hN). From the definitions (2.19), (2.24) and (2.25) we obtain. -
PHYSICS OF FLUIDS VOLUME 13, NUMBER 12 DECEMBER 2001 ...
www.itg.cam.ac.uk/people/heh/Paper167.pdf9 Feb 2004: H 0 1!5 2F P12 f P1 1! 4.24! FIG. 2. ... On applicationthe boundary conditions4.23! and 4.24!, we find that. a 5 4.523 102 3, F P15 2 8.42 for Fr5 11.9. -
J. Fluid Mech. (2001), vol. 447, pp. 1–29. c© ...
www.itg.cam.ac.uk/people/heh/Paper164.pdf9 Mar 2004: 0.9993 4.81 0 1.52 – –S3 0 45.8 79.80 0.574 1.375 1.0192 0.9996 19.24 0 1.36 – –S7 0 45.2 ... 19.24 0.0282 1.37 550 0.100R10 0.0500 46.3 79.97 0.579 1.390 1.0107 1.0007 9.80 0.0551 0.99 450 -
J. Fluid Mech. (2001), vol. 440, pp. 359–380. Printed ...
www.itg.cam.ac.uk/people/heh/Paper160.pdf9 Mar 2004: Received 24 April 2000 and in revised form 7 December 2000). -
J. Fluid Mech. (2001), vol. 432, pp. 201–217. Printed ...
www.itg.cam.ac.uk/people/heh/Paper159.pdf9 Mar 2004: 15 P 24.2 P25.2 L25.2 P25.2 P30.2 L. T (C) T (C). -
J. Fluid Mech. (2000), vol. 418, pp. 1–23. Printed ...
www.itg.cam.ac.uk/people/heh/Paper155.pdf9 Mar 2004: Indeed, for most of the experimentsdiscussed by TML λ was in the range 0.02–0.24. ... tr dr rN. drNdthN. (2.24). We eliminate h/t with the aid of (2.12) and, after some rearrangement, we againobtain the result (2.22). -
GeoFluidMech_fin.tex typeset [1]
www.itg.cam.ac.uk/people/heh/Paper154.pdf9 Mar 2004: which indicates that, at least initially,. s = (ΓT 4/3/L)t. (2.24). ... 24 H. E. Huppert. surface. The magma flows in conduits or dykes in a manner controlled by elastic, fluid. -
PII: S0997-7546(00)00102-3
www.itg.cam.ac.uk/people/heh/Paper153.pdf9 Feb 2004: 5H1 2(H0U1)′=0, (24)3U1 H ′1 H ′0ϕ1. 1. 2H0ϕ. ′1=0, (25)ϕ1=2720. ... 4y2)], (38). and then subsequent substitution into (24) yields a second-order differential equation forH1(y), namely(1. -
Solidification of leads: Theory, experiment,and field observations J. …
www.itg.cam.ac.uk/people/heh/Paper152.pdf9 Mar 2004: salinity of the ice) is very small; k #1 0 24 [Gross et al., 1987]. -
PII: S0301-9322(98)00062-7
www.itg.cam.ac.uk/people/heh/Paper151.pdf9 Mar 2004: rNt 0 rN0 24. M. Ungarish, H.E. Huppert / International Journal of Multiphase Flow 25 (1999) 715737 725. ... For this case. the box model yields [rN/rN(0)]max=[8Fr/(3 b)]1/4. (This is by about 24% smaller than for. -
Using PHF format
www.itg.cam.ac.uk/people/heh/Paper150.pdf9 Feb 2004: The volume fration of particles in suspension evolves as23,24. df. dt5. ... X5 x/l , 24! T5 t/ v sl /q!1/ a 2 1!, 25! -
PII: S1359645497004692
www.itg.cam.ac.uk/people/heh/Paper144.pdf12 Mar 2004: requires. P q02pd. : 24. Equation (24) thus links the dendrite tip radius to. ... This solution has a scaled tip radius P = 10.8. and a scaled tip position Z 2:24. -
PHYSICS OF FLUIDS VOLUME 10, NUMBER 5 MAY 1998 ...
www.itg.cam.ac.uk/people/heh/Paper143.pdf9 Feb 2004: 870.0 461.1A25 9 3.0 8.0 24.0 500.0 0.432 1.957 939.0 479.8. ... 675.6 0.350 1.776 761.2 428.A13 53 3.0 8.0 24.0 500.0 0.432 1.957 939.0 479. -
J. Fluid Mech. (1998), vol. 362, pp. 17–51. Printed ...
www.itg.cam.ac.uk/people/heh/Paper142.pdf9 Mar 2004: Consequently, the relationships between the variables on the characteristics with. 24 M. ... v = r[1. (rinitr. )2]. (2.24). In particular, at the nose. -
J. Fluid Mech. (1998), vol. 359, pp. 109–142. Printed ...
www.itg.cam.ac.uk/people/heh/Paper141.pdf9 Mar 2004: J. Fluid Mech. (1998), vol. 359, pp. 109–142. Printed in the United Kingdom. c 1998 Cambridge University Press109. Effects of external flow on compositional andparticle gravity currents. By M A R K A. H A L L W O R T H, A N D R E W J. H O G GA N D -
Theoret. Comput. Fluid Dynamics (1998) 10: 201–212Theoretical and…
www.itg.cam.ac.uk/people/heh/Paper140.pdf9 Feb 2004: r = (F/πV )1/2. (2.24)In contrast to the instantaneous, fixed volume release of the last section, there is not a finite radius at whichthe mass of particulate matter ... Applying these concepts to the relationship for the density of deposit for a single -
J. Fluid Mech. (1997), vol. 344, pp. 291–316. Printed ...
www.itg.cam.ac.uk/people/heh/Paper139.pdf9 Mar 2004: e-mail: grae@esc.cam.ac.uk; heh1@esc.cam.ac.uk. (Received 24 July and in revised form 27 March 1997). ... 24/3λRa1/3 (3.1). between the Nusselt number Nu for thermal convection in the liquid region and theRayleigh number. -
flm661.dvi
www.itg.cam.ac.uk/people/aa/JFM2.pdf9 Mar 2004: J. Fluid Mech. (2003), vol. 497, pp. 167–199. c 2003 Cambridge University PressDOI: 10.1017/S002211200300661X Printed in the United Kingdom. 167. Solidification and compositional convectionof a ternary alloy. By ANDREW F. THOMPSON†, HERBERT E. -
J. Fluid Mech. (2001), vol. 432, pp. 201–217. Printed ...
www.itg.cam.ac.uk/people/aa/JFM1.pdf9 Mar 2004: 15 P 24.2 P25.2 L25.2 P25.2 P30.2 L. T (C) T (C). -
Chapter 2 Poisson’s Equation 2.1 Physical Origins Poisson’s equation, …
www.damtp.cam.ac.uk/user/reh10/lectures/nst-mmii-chapter2.pdf8 Mar 2004: 24 R. E. Hunt, 2002. and both sides must be constant, λ say. -
Scenario of strongly nonequilibrated Bose-Einstein condensation…
www.damtp.cam.ac.uk/user/ngb23/publications/svist1.pdf25 Jun 2004: 2 ( a 2 1 ),where the parameters a and l were determined by numericalanalysis as a' 1.24 @17# and l' 1.2 @6#. ... JETP Lett. 67, 521 1998!#.@23# B.V. Svistunov, Phys. Lett. A 287, 169 2001!@24# M.J. -
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL ...
www.damtp.cam.ac.uk/user/ngb23/publications/pair.pdf19 Jan 2004: 2iUψ. z= 2ψ (1 |ψ|2)ψ (24). subject to the boundary condition ψ 1 as |x|. ... The expansion of equation (24) about zero to O(2) gives four equations on seven unknownsU, m, a00, b00, c20, c10, c01. -
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL ...
www.damtp.cam.ac.uk/user/ngb23/publications/motionX2.pdf19 Nov 2004: VpLp dV = 2iσ. V. p[ψ 20 p. 2iσp] dV. (24)Re-arranging this equation and using (15) again, we find that. ... S′ = 12zR. ′ v00 R′, (B.24). or, after simplification,. 2. -
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL ...
www.damtp.cam.ac.uk/user/ngb23/publications/motionIX.pdf8 Oct 2004: EP/Uk. 2 =(κ. 2πh. )2k2. [lnh. 2aδ+. 1. 2. ](24). which differs from (18) by 12. -
Interactions of vortices with rarefaction solitary waves in a ...
www.damtp.cam.ac.uk/user/ngb23/publications/interact2.pdf25 Jun 2004: 1.24 for U = 0.63 andh , dy1.62 for U. = 0.69.
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