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8 Jan 2020: Another angle on patent madness comes from this short extract from an article, Patently Absurd, by James Gleick that appeared in the New York Times on 12 March 2000. ... This has become a test case: recent news (2008) here.) Traditional medicinal

26 Feb 2020: One advantage of using LU decompositionis that it can be reused for different right-hand sides: in Gaussian elimination the solution for each new bwould require O(n3) computational operations, whereas ... with LU factorization O(n3) operations are

7 Jul 2020: By recognizing the perceptual importance of the harmonic series and its subsets, along with the organic-change principle, Debussy opened up a huge range of possibilities not only for new chordal ... sonorities but also for new forms of powerful,

13 Apr 2020: We have corrected these statements in the new arXiv version of the paper, at the URLhttps://arxiv.org/abs/1512.03401 (V3).

9 Jan 2020: STILL MORE RECENTLY, Toby Wood and I discovered a new set of fully nonlinear solutions helping to solve the magnetic confinement problem. ... Moreover, the centre of upwelling should be at a latitude of about 30 degrees (where, incidentally, sunspots

4 Feb 2020: We now describe the scientific background and progress on the project,and several new aspects which are emerging as the work evolves. ... Moreover, the implementation of many visualisation algorithmsprovides a well-defined platform on which to base a new

23 Nov 2020: Then the new eigenvector ofA, according to Theorem 5.8, is S1ŵ = Sŵ, because Householder matrices, like all symmetricorthogonal matrices, are involutions: S2 = I. ... Such a u has its first i coordinatesvanishing, therefore B̂ = B̃HTu has the first

17 Jul 2020: 37. New Skyrmion Solutions on a 3-Sphere (with A.D. Jackson and A. ... 349, eds. A.-C. Davis and R. Branden-berger, Plenum, New York, 1995.

2 Oct 2020: Applied Mathematical Sciences, Springer New York, 2008, ISBN:9780387309316. 3. M. Dashti and A.M.

23 Nov 2020: It follows that, whenever a Givensrotation [i,j] combines either two adjacent rows or two adjacent columns of a matrix, the totalnumber of nonzero elements in the new combination of rows

8 Jan 2020: case. There is a sense of travelling, and a new kind of musical movement is born. ... near running water or cresting the skyline to reveal an enchanting new view, perhaps something like the Elysian fields.

9 Jan 2020: analogous to Hoskins' geostrophic-momentum coordinates can be found. This class, defined by a new pair of canonical coordinate theorems', includes both Salmon's L_1 dynamics (in two versions, one ... of which filters boundary Kelvin waves) and also a new

23 Nov 2020: Thenthe new eigenvector of A, according to Theorem 1, is S1ŵ = S ŵ,because Householder matrices, like all symmetric orthogonalmatrices, are involutions: S 2 = I. ... Such a u has its first i coordinates vanishing, thereforeB̂ = B̃ HTu has the first

8 Jan 2020: I was leader of the New Zealand National Youth Orchestra just after its foundation and subsequently, after moving to Cambridge, UK, participated in some world-class performances there in the

8 Jan 2020: New insight into the workings of that sensitive part of the climate-amplifier circuitry -- including new information about the timings of changes in temperature and atmospheric CO. ... Our new input has already forced the atmospheric concentration far

23 Nov 2020: You should find that the (2, 3) element of the new matrix is O(3) and that the newmatrix has exactly the same trace as A.

23 Apr 2020: CATAM News (on website) — updates/corrections/FAQ’s. • CATAM helpline: catam@maths.cam.ac.uk. ... the new Cij should take on the old value of Cij , plus this summand.

24 Feb 2020: potential h̄2. 2mψ′′ 1. 2mω2x2ψ = Eψ. The new (dimensionless) independent variable is given by z = x(mω/h̄)1/2. ... and the new dependent variable w given by ψ = wez2/2.

7 Oct 2020: 5 / 21. The Hockney method. This results in new system.

8 Jan 2020: failings. It will find new ways of valuing and encouraging professional ideals and ethics, instead of devaluing and discouraging them through Principles 2 and 3. ... We have an Internet that works. We are reaching new levels of self-understanding,