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31 May 2024: We will. work with these operations frequently enough to justify introducing some new notation. ... We’ve met some forms before. A 0-form is simply a function.

26 Jun 2024: two self-contained aspects of the theory that we can explore in some detail. ... with some heuristic ideas and a number of solvable toy models which give us intuition.

11 Mar 2024: 3. long downstream section of some 250 radii in length is required to calculate theCouette correction reliably to De = 30. ... This expression can be integrated from the start ofthe exit channel at x = 1 to some distance down the channel, to.

11 Jun 2024: move to achieve ahigh density of points where some monitor m of the solution error is large. ... Classical methods for mesh adaption (whether h-adaptive or r-adaptive) require some measure of the error of thesolution.

26 Jun 2024: strong nuclear interactions, and we will consider this specific theory in some detail in. ... b $ c) (b $ d)i. Momentum conservation, pa pb = pc pd, ensures that some of these terms cancel.

31 May 2024: Deborah number of figure 3 is De = 0.5, which is some way beyond the linear regimeDe < 0.1. ... After integrating some terms by parts,988 A11-18. http. s://. doi.o. rg/1.

12 Jun 2024: Provided that the function is continuous and smooth, we can do some interesting things. ... selate D with some simple shape, say a rectan-. gle or other polygon.

26 Jun 2024: we touch upon some of the interpretations of quantum mechanics. A fuller description. ... Combining the need for normalisation, together with the phase ambiguity, it is some-.

26 Jun 2024: to some surprising and beautiful phenomena. 3.1 The Chiral Anomaly: Building Some Intuition. ... To see the anomaly, we need to deform our theory in some way.

3 Jul 2024: follows. Some of the Newtonian ideas do not survive to later, more sophisticated,. ... The others are transformations of the form x ′ = λx for some λ R.