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3 Oct 2023: Natural Sciences Tripos Part IA. Mathematical Methods I — Course A. Michaelmas 2023. Professor Anders C. Hansen. i. ii. “The book of nature cannot be understood unless one first learns to. comprehend the language and read the characters in which

1 Dec 2023: J. Fluid Mech. (2013), vol. 719, pp. 551–586. c Cambridge University Press 2013 551doi:10.1017/jfm.2013.23. Convective shutdown in a porous medium athigh Rayleigh number. Duncan R. Hewitt1,†, Jerome A. Neufeld1,2,3 and John R. Lister1.

9 May 2023: but because there is always something new to see. Attacking the same set of equations,. ... will often yield something new and surprising. One of the delights of the subject lies.

28 Jan 2023: This, somewhat abstract, way of thinking gives us a new perspective on Minkowski. ... now see, in supersymmetric theories. The new fields that replace the parameters are.

7 Mar 2023: We also discuss how a new ordering ofmodes via residuals enables greater accuracy than the traditional modulus ordering. † ... This rigorous measure of accuracy isthe linchpin of our new ResDMD method and is shown pictorially in figure 1.

27 Dec 2023: Under consideration for publication in J. Fluid Mech. 1. Banner appropriate to article type will appear here in typeset article. Flow of an Oldroyd-B fluid in a slowly varying1contraction: theoretical results for arbitrary values2of Deborah number

1 Dec 2023: In most cases, however, we proceededby continuation, using the final output of a previous simulation similar control parametersas an initial condition for a new simulation. ... In such a cell, the temperature contrast acrossthe boundary layers is 1/2,

1 Dec 2023: UK. 2Department of Mechanical Engineering, Program in Integrated Applied Mathematics and Centre forFluid Physics, University of New Hampshire, Durham NH 03824, USA.

24 Aug 2023: Building on the work of Eastwood and Nurowski we present a new method ofgenerating G2 contact structures from five-dimensional Legendrean contact struc-tures.

27 Dec 2023: 15 –. We can ask how these new objects ψα and ψ̄α̇ fare under Lorentz transformations. ... a new representation of SL(2,C); they are equivalent to the fundamental representa-.

29 Jan 2023: such symmetries are not completely obvious in (1.1). Can we find a new Lagrangian. ... 18 –. The new field is g. It is a dynamical metric on the worldsheet.

26 Jan 2023: new state of matter. It is here that the most remarkable things happen. ... x,y] = ieB (1.15). – 16 –. At this point we introduce new variables.

1 Dec 2023: Fluid was then pumpedthrough the sample, and the flow rate and pressure drop measured after the system had equilibrated.The suspension was then compressed by a new (increased) load and the

12 Dec 2023: We then show how this three-dimensionalflow solution can be applied to transport in the Drosophilaembryo to obtain new insight on intracellular transport.

16 Sep 2023: It looks as if this is a new quantity which we’ve introduced into the game. ... velocity of this new particle has nothing to do with the velocity of the first.

24 Jul 2023: Our work shows that viscositygradients can exert new forces on slender bodies, which could, for example, be used tocontrol their orientation and drift. ... The new symmetric contribution of f̄ creates a new force due to κ̃1 given toleading order in

1 Dec 2023: Third, a new mode with β = 1/2 and α > 0 becomesincreasingly unstable as A is increased, and, for A & 17.2 (figure 2c,d), the new modehas a growth rate

1 Dec 2023: Journal of Non-Newtonian Fluid Mechanics 294 (2021) 104580. A0. BdNa. b. c. A. Tfiw1nw[. 1. 1. sffowtpov. cpH𝜏. 𝜏. i. ha. hR. Contents lists available at ScienceDirect. Journal of Non-Newtonian Fluid Mechanics. journal homepage:

13 Sep 2023: the new coordinates. You can check that the following expression all define canonical. ... this? Let’s look at the Hamiltonian in our new variables. H =1.

1 Dec 2023: By examination of the symmetries of the original perturbation equations (2.8),we can see that, given any solution (F, G), a new linearly independent solutioncan be constructed with the same ... For sufficiently small values of ξ, this new mode has a

1 Dec 2023: In the process, we uncover some additional features of theflow, including how the intrusion selects a new width for itself if the inlet throughwhich it is pushed is too narrow. ... Simultaneously, thisextends all the α-lines through A out to the new

24 Aug 2023: Furthermore given ϵ̂BC = ϵBC, ϵ̂B′C′ =. 5. ̃ϵB′C′ the connections associated with the new scales are:. ... The good news is that we will never need to construct a Čech cohomology group thisway.

29 Jan 2023: to evolve into a new configuration at some later time. For example, we could try to. ... the brane and gravity. Or, in our new language, the strength of the interaction between.

29 Jan 2023: The first thing that we. have to worry about is the possibility of extra constraints arising from this new choice.

29 Jan 2023: rameterizations and Weyl rescaling. So what is the interpretation of this new term? ... try to understand new physics. For example, what are the quantum corrections to.

1 Dec 2023: Finally, we identify a new final exchange-flow regime in which apair of counter-propagating diffusive fingers slow exponentially. ... Finally, in 6, we discuss thelate-time behaviour, for which we derive an analytic solution for the new

16 Jun 2023: We introduce a new Galerkin discretization that maintains the measure-preservingnature of (1.1) and allows us to prove convergence to the spectral quantities of (1.1).Convergence of spectral quantities ... 1.3. Contributions. We introduce a new

29 Jan 2023: 4. Introducing Conformal Field Theory. The purpose of this section is to get comfortable with the basic language of two dimen-. sional conformal field theory4. This is a topic which has many applications outside of. string theory, most notably in

1 Dec 2023: During breakthroughevents the water level in the initially water-full borehole either:(i) drops rapidly to a new equilibrium level some tens of metresbelow the surface, (ii) does not drop at ... all, or (iii) drops slowly,or rapidly, to a new equilibrium

7 Mar 2023: As well as applying the new methods of [25, 27, 37, 38], this paper contains the following novelcontributions. ... Indeed, thistechnique is already allowing for the discovery and investigation of new physics in quasicrystallinesystems, including their

18 Dec 2023: However, with this new focus ontrust in algorithms comes an important question: Which of the classical (non-AI-based) approaches are trustwor-thy? ... New developments demonstrate how, in certain situations,the necessity of having finite standard

21 Jan 2023: All downstream analysis of the movies wascarried out in MATLAB. Image processing and flagella trackingwas based on previous work [42], and new code was writtenfor force/torque calculations and flagellar photoresponse ... This new design also minimized

20 Nov 2023: Moreover, they es-tablished new connections to the C-algebra literature (see also the work by N. ... Such a statement can be falsified given the new ΣA1 classifica-tion of computing spectra of discrete Schrödinger operators.

11 Jan 2023: log(1/r). 2 log(0/ε). log(1/r). Using this new bound instead, the total number of iterations T performed by Γ is bounded by. ... This will allow usto define a new general scheme for logarithmic grid searches, with examples given in Section 3.2.

18 Dec 2023: However,with this new focus on trust in algorithms comes an important question: Which of the classical (non-AI-based) approaches are trustworthy, such as LASSO feature selection?