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5 Oct 2013: However, bydropping this requirement, we are able to obtain a method thatis both numerically stable and which provides a reconstructionthat is closer to optimal. ... cm)> andA Cmn has (i,j)th entry 〈wj,si〉. To connect this with the previous narrative,

24 Jul 2018: wavelets) called sparsitybasis. This means that its vector of coefficients x = Φf has at mosts nonzero entries. ... Fig. 5 shows theabsolute values of the entries of the matrix U for three examples.

8 Jul 2024: Towers of algorithms and classifications. Despite the impossibility results of Theorem 2.1, we can learnspectra in these cases if we drop the requirement of a conver-gent sequence {Γn}. ... An entry “N/C” indicates that the method need not converge

6 Oct 2014: diagonal matrix with entries 1. Let n be the number of positive entries in. ... third entries of ǫ ǫ′ thought of as a section of S S S′ S′.

29 Oct 2021: Residence time of buffer with blood was 2 minutesprior to chamber entry; adequate mixing had already beendetermined by preliminary experiments using fluorescein-stained coagulation buffer. ... mM). Chamber width doubles at thepoint of quenching buffer

5 Oct 2013: However, bydropping this requirement, we are able to obtain a method thatis both numerically stable and which provides a reconstructionthat is closer to optimal. ... cm)> andA Cmn has (i,j)th entry 〈wj,si〉. To connect this with the previous narrative,

5 Oct 2013: Because of the stringent requirements placed on thereconstruction basis, spectral reprojection consequently affords little flexibility to the user. ... Then En,m =‖B‖, where B Cnn is the Hermitian matrix. with (j, k)th entry 〈φj Pmφj , φk

31 May 2023: where the requirement that ψ is single valued around the circle means that we must.

12 Aug 2016: Additional entries may then appear in the coupling operators 2: and 2; depending crucially upon how the ellipticity enters into the underlying flow, but the overall conclusions remain the same. ... The boldfaced entries (2n, 1) correspond to the dotted

12 Apr 2024: Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2017. Statistical Field TheoryUniversity of Cambridge Part III Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical

1 Sep 2011: αp ofU. The sequence (s) stands for all entries but one numbered s. ... U(α,β) 0 α,β. As was already mentioned, by indices we mean sequences with increasing entries.

3 Oct 2005: Feiωg. ]= feiωg then computing Ig[f, (a,b)] is trivial. We can rewrite this requirement. ... Though it is often more accuratethan a Levin-type method, the requirement of knowing moments makes it much less practical formultivariate integrals.

10 Apr 2011: 2008; Nebenfuhr et al.1999). Since vesicles and organelles move shorter distancesin Arabidopsis leaf epidermal cells, it is arguable that thereis less of a requirement for intense cytoplasmic mixing. ... A specific example is the bacterium

14 Jan 2023: general Landau-Ginzburg free energy, subject to the requirement that it is invariant. ... 42(N8)2. This does not aect the. eigenvalues which are given by the diagonal entries,.

27 Apr 2024: Lent Term, 2015. ElectromagnetismUniversity of Cambridge Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.

26 Mar 2014: l = 1,2,., (5). where π is a bijection that gives a nonincreasing rearrangement of the entries ofc(l), i.e. ... row (as opposed to row block) to be the maximum of its entries in that row.

22 Mar 2012: thefunctionf. These requirements are crucial for theFilon-typemethod and hencealso for WRF methods which employ Filon quadrature rule for discretization,Theorems1.3and3.1, exceptamore comprehensiveTheorem4.1 for anarbitrarymatrix and quadrature.

29 Jan 2019: In other words, one can introduce zeros in the column below the diagonal entry. ... many non-zero entries in each column then we can replace WOT convergence by SOT convergence.

26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2019. CosmologyUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.

3 Dec 2022: Lent Term, 2015. ElectromagnetismUniversity of Cambridge Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.