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Computational Projects Lecture 3: Numbers and numerical errors…
www.damtp.cam.ac.uk/user/rlj22/catam/L3-errors.pdf30 Apr 2024: 37.51 = 3751 102. Eg, for positive numbers, take A1 a A2 and B b < B+. ... A pA2 b. =b. A pA2 b. We can estimate this as bAC , which reduces the relative error.<latexit -
4 The Integral Theorems The fundamental theorem of calculus ...
www.damtp.cam.ac.uk/user/tong/vc/vc4.pdf12 Jun 2024: ferentiation, in the sense that. Zb. a. dxdf. dx= f(b) f(a). ... equation tells us that. µ0I =. Z. C. B dx =. Z 2. 0. d b() =) B(x) =µ0I. 2( sin , cos , 0). -
Controlling Confined Collective Organization with Taxis
www.damtp.cam.ac.uk/user/lauga/papers/224.pdf21 Mar 2024: The CW vortex is strongest at B B 4. (d) Totalmagnetic torque τ as a function of B. ... 327, 343(1996). [4] B. Liebchen, P. Monderkamp, B. ten Hagen, and H. -
Preprint typeset in JHEP style - PAPER VERSION June ...
www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf31 May 2024: Preprint typeset in JHEP style - PAPER VERSION June 2005. TASI Lectures on SolitonsInstantons, Monopoles, Vortices and Kinks. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road, -
Lent Term, 2015 ElectromagnetismUniversity of Cambridge Mathematical…
www.damtp.cam.ac.uk/user/tong/em/electro.pdf27 Apr 2024: magnetic fields through the Lorentz force law,. F = q(E ṙ B) (1.2). ... field causes a particle to move in circles in the plane perpendicular to B. -
Preprint typeset in JHEP style - HYPER VERSION January ...
www.damtp.cam.ac.uk/user/tong/qhe/qhe.pdf1 Apr 2024: m and charge e in a magnetic field is. mdv. dt= ev B. – ... b =12eB. (π̃x iπ̃y) and b† =. 12eB. (π̃x iπ̃y). – 23 –. These too obey. [b,b†] = 1. It is this second pair of creation operators that provide the degeneracy of the Landau.
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