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QUANTUM INFORMATION AND COMPUTATIONEXERCISE SHEET 2 Nilanjana Datta…
www.damtp.cam.ac.uk/user/examples/D27b.pdf26 Jan 2024: a) Subject to the above constraints, find the optimal achievable value of Fcl(j), and show thatif θ = π/4 then the optimal cloning fidelity is cos2(π/24). -
PHYSICS OF FLUIDS 24, 103102 (2012) Micropropulsion and microrheology …
www.damtp.cam.ac.uk/user/lauga/papers/72.pdf26 Jul 2013: σ aux = 0, (23). uaux = 0. (24)Taking the inner product of Eq. ... d V. (30). 103102-9 Pak et al. Phys. Fluids 24, 103102 (2012). -
Emacs Lisp List
www.damtp.cam.ac.uk/user/sje30/emacs/ell.html24 Dec 2014: Emacs Lisp List. Last updated: Wed Dec 24 11:36:00 2014. 1270 entries. ... Sat 24 Jun 2006. Update ell.el to point to ELL at Cambridge. -
Cop yrigh tc © 2021 University ofCam bridge.Not tobequoted ...
www.damtp.cam.ac.uk/user/examples/3P6d.pdf2 Aug 2023: Show that, from the perspectiveof an observer in R1,24, these states are a graviton, an anti-symmetric tensor, two scalarsand two U(1) vector fields. -
1975-1980 1981-1990 1991-2000 2001-2010 2011-2020 2021-2030…
www.damtp.cam.ac.uk/user/mrep/webpubs.pdf11 Mar 2024: The kinematics of hexagonal magnetoconvection. Geo.Astro. Fluid Dyn., 24:109–136, 1983. 24. ... Phys. Fluids, 24,107103, 2012. 1975-1980 1981-1990 1991-2000 2001-2010 2011-2020 2021-2030. 184. -
brum_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Edinburgh_mjc.pdf21 Mar 2024: orthogonal projection. 24. Convergence theoryKey ingredient: unitary discretization. 25. Spectral measures. ... Slide 19. Slide 20. Slide 21. Slide 22. Slide 23. Slide 24. -
Opto-fluidically multiplexed assembly and micro-robotics
www.damtp.cam.ac.uk/user/lauga/papers/223.pdf28 Feb 2024: With rapid implementation and advanced control,it might be feasible to position one particle every fewmicrometers, which is the typical length scale over whichthe flow fields exhibit significant decay22,24. ... eLight 1, 7 (2021). 24. Liao, W. et al. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm1.pdf20 Apr 2024: 2.1.2 The Infinite Potential Well 24. 2.1.3 The Gaussian Wavepacket 27. -
A3La.dvi
www.damtp.cam.ac.uk/user/examples/A3La.pdf21 Oct 2014: Section 3. An obvious theme (I hope!). 21) 2x(3 x2) 24) xex2/2 27) tan x = sin xcos x. ... 22) cos x2 23) 14 sin4 x 24) ex. 2/2 25) 13 (1 x2)3/2 26) 12 tan. -
University of Cambridge, DAMTP: Goldstein Lab
www.damtp.cam.ac.uk/user/gold/press.html16 May 2022: Department of Applied Mathematics. and Theoretical Physics. Goldstein Lab. Recent Press. 2006-2015 Department of Applied Mathematics and Theoretical Physics, University of Cambridge. Information provided by R.E.Goldstein@damtp.cam.ac.uk. -
The Architecture of Sponge Choanocyte Chambers MaximizesMechanical…
www.damtp.cam.ac.uk/user/gold/pdfs/sponges.pdf22 Feb 2024: 22].c Data from Ludeman et al. [24].d Data from Dahihande et al. ... 24]; Amphime-don queenslandica from Sogabe et al. [53]. indicates the hy-pothetical minimum diameter of E. -
Multivariate modified Fourier series and application to boundary…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_08.pdf21 Apr 2009: Multivariate modified Fourier series and application to boundary. value problems. Ben AdcockDAMTP, Centre for Mathematical Sciences. University of CambridgeWilberforce Rd, Cambridge CB3 0WA. United Kingdom. March 25, 2009. Abstract. In this paper we -
3C10b.dvi
www.damtp.cam.ac.uk/user/examples/3C10b.pdf26 Feb 2017: Cop. yrig. ht. 201. 7 U. nive. rsity. of C. ambr. idge. Not. to b. e qu. oted. or. repr. oduc. ed w. ithou. t per. mis. sion. Quantum Fluids: Example Sheet 2. Problem 1. Mixtures of condensates. Consider a mixture of two different species ofbosons -
David Tong -- Publications in Theoretical Physics -- University of…
www.damtp.cam.ac.uk/user/tong/pub.html5 Jan 2024: JHEP 0304 (2003) 031, hep-th/0303151. [24] Comments on Condensates in Non-Supersymmetric Orbifold Field Theories. -
Meetings | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/meetings.html10 Feb 2023: Meetings I have (co)organized or I am (co)organizing. -
Spatial pattern formation and polarization dynamics of a…
www.damtp.cam.ac.uk/user/ngb23/publications/spinor-josephson.pdf27 Jun 2010: Spatial pattern formation and polarization dynamics of a nonequilibrium spinorpolariton condensate. Magnus O. Borgh,1 Jonathan Keeling,2 and Natalia G. Berloff11Department of Applied Mathematics and Theoretical Physics, University of Cambridge, -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf20 Apr 2024: d2h. dy22ydh. dy+ (Ẽ 1)h = 0 (2.26). You can check that this is indeed satisfied by our earlier solution (2.24) with h = 1. ... We learn that the. Gaussian wavefunction (2.24) that we guessed earlier is actually the lowest energy. -
Microscopics
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/1415Lecture7.pdf27 Oct 2014: Some More on Curve Motion. Curve Motion - continued. Curve Motion - continued. Buckling Microtubules in Vesicles. Fygenson, et al, PRE 55, 850 (1997). Euler Buckling. Euler Buckling - continued. Euler Buckling - continued. Post-Buckling Behaviour. -
Swimming, Feeding, and Inversion of Multicellular Choanoflagellate…
www.damtp.cam.ac.uk/user/gold/pdfs/Cflexa.pdf18 Oct 2023: This feature of the raft arising as a geometricbyproduct of pentagonal defects evokes the concept of“spandrels” in evolutionary biology [24].For the case of two cells, each with two filaments, ... U.S.A. 111, 27 (2014). [24] S. J. Gould and R. C. -
Index of /user/mem/oldftp/HAY-LUCIDITY-SCIENCE-TALK
www.damtp.cam.ac.uk/user/mem/oldftp/HAY-LUCIDITY-SCIENCE-TALK/2013-05-24 09:27. 327K. ... 2013-05-24 09:27. 138K. -
Action Principles
www.damtp.cam.ac.uk/user/examples/A11Lh.pdf22 May 2019: particles ‘talk’ to one another. Simplest is SU(5) with 52-1 = 24. -
www.damtp.cam.ac.uk/user/mem/oldftp/lucidity-supplem.txt
www.damtp.cam.ac.uk/user/mem/oldftp/lucidity-supplem.txt24 Oct 2016: Stuckness. the predecessor of all real understanding.'' [Near end of chapter 24, p.286 in the original edition.] Of course one can be getting on with other things, at least part -
Part III Solitons, Instantons, and Geometry, Sheet One Maciej ...
www.damtp.cam.ac.uk/user/md327/PartIII_SIG_1.pdf29 Jan 2023: 22 x. 33 x. 24 = 1 and find its. degree. -
Microswimmers in vortices: dynamics and trapping
www.damtp.cam.ac.uk/user/lauga/papers/214.pdf7 Dec 2023: KaðzÞ)ffiffiffiffiffip2z. re%z 1þ4a. 2 %18z. þð4a2 %1Þð4a2 %9Þ. 128z2! "; (24). -
Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…
www.damtp.cam.ac.uk/user/mjc249/talks/CommNLA_mjc26 Oct 2020: 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. 1.18:. 1.17:. 1.16:. 1.15:. 1.14:. ... 0.26:. 0.25:. 0.24:. 0.23:. 0.22:. 0.21:. 0.20:. 0.19:. 0.18:. 0.17:. 0.16:. -
CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…
www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf11 May 2024: 24. M.J. Colbrook, B. Roman, A.C. Hansen, How to compute spectra with error control, Physical Review Letters,2019.Cover highlight for issue.Prizes: Grade 1 Smith–Knight/Rayleigh–Knight -
clas
www.damtp.cam.ac.uk/user/tong/dynamics/one.pdf13 Sep 2023: 2.4.1 Noether’s Theorem 24. 2.5 Applications 26. 2.5.1 Bead on a Rotating Hoop 26. ... kinetic energy,. T(t2)T(t1) =X. i. ZFexti dri. X. i 6=j. ZFij dri (1.24). -
Professor Nigel Weiss FRS (1936-2020)
www.damtp.cam.ac.uk/user/gio10/now.html22 Jul 2020: Professor Nigel Weiss FRS (1936-2020). Nigel Weiss, who died on 24 June 2020 after a fall at his home, was born on 16 December 1936, in South Africa. -
Cop yrig ht © 201 7 U nive rsity ...
www.damtp.cam.ac.uk/user/examples/3P11c.pdf11 May 2017: For finite action solutions to the Euler Lagrange equations (II.24), the fields |B|,|DΦ| and. ... 0. (iii) a(; z) and φ(, z) solve the Euler Lagrange equations (II.24) at λ = 1. -
Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…
www.damtp.cam.ac.uk/user/mjc249/talks/ICOSAHOM_mjc214 Jul 2021: 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. ... 0.31:. 0.30:. 0.29:. 0.28:. 0.27:. 0.26:. 0.25:. 0.24:. 0.23:. 0.22:. 0.21:. -
Stress-Induced Dinoflagellate Bioluminescence at the Single Cell Level
www.damtp.cam.ac.uk/user/gold/pdfs/lunula.pdf6 Jul 2020: action potential—which arises from nonlinear, excitabledynamics—analysis of the flashes [24] indicates a timecourse much like that of two coupled capacitors chargingand discharging on different timescales. ... exactly [24], thus enabling a global fit -
PHYSICAL REVIEW FLUIDS 2, 074001 (2017) Imbibition with swelling: ...
www.damtp.cam.ac.uk/user/drh39/2017_suck.pdf1 Dec 2023: 24)]. 074001-14. IMBIBITION WITH SWELLING: CAPILLARY RISE IN. (a) (b) (c) (d). ... Fluids 17, 087104. (2005).[24] J. L. Sommer and A. Mortensen, Forced unidirectional infiltration of deformable porous media, J. -
J. Fluid Mech. (2017), vol. 829, pp. 89–111. c© ...
www.damtp.cam.ac.uk/user/drh39/2017_stability3d.pdf1 Dec 2023: brar. y of. Mus. ic, o. n 24. Oct. 201. 7 at. ... ic, o. n 24. Oct. 201. 7 at. 14:. 02:3. 6, s. -
PowerPoint Presentation
www.damtp.cam.ac.uk/user/mjc249/talks/CMStats.pdf18 Dec 2022: Slide 24. Slide 25. Slide 26. Slide 27. -
Semidefinite approximations of matrix logarithm
www.damtp.cam.ac.uk/user/hf323/talks/log_approx_slides.pdf4 May 2017: Thank you! 24/24. Conclusion. Approximation theory with convexity. Approach extends to other operator concave functions via their integralrepresentation (Löwner theorem). ... Thank you! 24/24. -
On two‐phase modeling of dewatering pulp suspensions
www.damtp.cam.ac.uk/user/drh39/2021_pulp.pdf1 Dec 2023: 23 TMP (West Fraser) 112 580 1.59 36.4. 24 TMP (West Fraser) 229 390 1.50 35.6. ... found in Reference 24. At least four trials for each pulp suspension were. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/qft/qft.pdf20 Mar 2024: where Λµν satisfies. Λµσ ηστ Λντ = η. µν (1.24). For example, a rotation by θ about the x3-axis, and a boost by v < 1 along the x1-axis. ... The condition (1.24) for Λ to be a Lorentz transformation. becomes. ( -
PHYSICAL REVIEW E 93, 023116 (2016) Flow-induced compaction of ...
www.damtp.cam.ac.uk/user/drh39/2016_squishy.pdf1 Dec 2023: Received 24 June 2015; revised manuscript received 1 January 2016; published 24 February 2016). ... 24)] while the effective permeability decreases like H1(cf. (22)). The porosity also approaches an asymptotic profilewith φ0 0 as H. -
Part III Solitons and Instantons, Sheet Two Maciej Dunajski, ...
www.damtp.cam.ac.uk/user/md327/SIsheet2.pdf7 May 2007: 24 = 1 and find its degree. By calculating. Tr((dg g1)3) at the point on S3 where x4 = 1, or otherwise deduce that the formula. -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics. -
PUBLICATIONS : NICHOLAS STEPHEN MANTON Research Papers 1. The ...
www.damtp.cam.ac.uk/user/nsm10/Publications.pdf17 Jul 2020: 24. Classical and Quantum Dynamics of BPS Monopoles (with G.W. Gibbons), NuclearPhysics B274 (1986) 183-224. ... 3. LMS Annual General Meeting 19/11/04, London Mathematical Society Newsletter 333(2005) 23-24. -
Halloween I
www.damtp.cam.ac.uk/user/mem/papers/LHCE/halloween1.html19 Oct 2013: For example, when the TearDrop IP attack was first posted to the web, less than 24 hours passed before the Linux community had a working fix available for download. -
covertex-epje150246.dvi
www.damtp.cam.ac.uk/user/lauga/papers/112.pdf14 Nov 2019: This regularisationallows the use of simple, standard quadrature routines forall surface integrals in the regularised boundary integralequation [24]. ... Fauci, A. Medovikov, Phys. Fluids 17, 1. (2005).24. D.J. Smith, Proc. -
J. Fluid Mech. (2024), vol. 978, R1, doi:10.1017/jfm.2023.849…
www.damtp.cam.ac.uk/user/lauga/papers/222.pdf2 Jan 2024: 24, 313–358.PELLE, D.W., BROKAW, C.J., LESICH, K.A. & LINDEMANN, C.B. 2009 Mechanical properties of the. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/one.pdf27 Jan 2024: 2.3.1 The Gravitational Field 22. 2.3.2 Escape Velocity 24. 2.3.3 Inertial vs Gravitational Mass 25. -
Part III Applications of Differential Geometry to Physics, Sheet ...
www.damtp.cam.ac.uk/user/md327/PartIII_geom_2.pdf20 Jan 2020: 24 = 1 and find its. degree. By calculating Tr((dg g1)3) at the point on S3 where x4 = 1,or otherwise deduce that the formula. -
20 • • 21 «O κύριος λόγος που αποφάσισα ...
www.damtp.cam.ac.uk/user/tf227/K-FOKAS.pdf19 Dec 2012: 24 • • 25. οργανώθηκε η κοινωνία μας τα τελευταία 40 χρόνια, αφετέ-ρου δε, της πληθώρας ευτελών μηνυμάτων που, με τη βοή-θεια Μέσων Μαζικής -
Matthew Colbrook
www.damtp.cam.ac.uk/user/mjc249/Publications.html18 Jun 2024: 25. M. Colbrook, "On the computation of geometric features of spectra of linear operators on Hilbert spaces," Foundations of Computational Mathematics, 24, 723–804, 2024. ... 24. M. Colbrook, A. Hansen, "The foundations of spectral computations via the -
Fluid Mechanics of Mosaic Ciliated Tissues
www.damtp.cam.ac.uk/user/gold/pdfs/mosaic.pdf2 Nov 2021: 1) aresurrounded by nonciliated cells: “goblet cells” that covermost of the tissue secreting mucus-like material [24],mosaically scattered small cells [25,26] secreting serotoninvesicles that modulate the ciliary beat frequency ... 24] S. Nagata, -
1 The Expanding Universe‣ Cosmology by David Tong
www.damtp.cam.ac.uk/user/tong/cosmo/cosmohtml/S1.html18 Oct 2021: a. (. t. ′. ). (1.24). This is the size of the observable universe. ... Indeed, mathematically it could be that the integral on the left-hand side of (1.24) does not converge at.
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