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26 Jun 2024: go down this path, we must solve the = 0 Schrödinger equation with the requirement. ... to worry about; instead, it’s simply the requirement that the wavefunction is single.

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.

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

3 Jul 2024: Together with. the requirement that the transformation is linear, this restricts. ... But this is. something that we’ve seen before: it is the requirement for R to be a rotation matrix.

20 Nov 2023: More generally, we can consideroperators with sparse matrices (only finitely many non-zero entries in each row and column) wheref captures the sparsity pattern.

2 Sep 2012: Oxford English Dictionary [http://dictionary.oed.com/cgi/entry/. 00173688?single=1&query_type=word&queryword=Peclet&edition=. 2e&first=1&max_to_show=10] attributes the dimensionless group of this. ... RnðrÞXQq1. nAqrq, (41). where the nAq are a set of

28 Feb 2012: Its redeeming virtue (and abasic requirement of any numerical method) is that it can be rendered in an algorithmicmanner, suitable for computation. ... Convergence is a necessary requirement of a method for ODEs: given a compactinterval [t0, t. ],

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

18 Dec 2023: 6. Hence, we will strengthen assumption (4.1) with the bounds (4.2) for the entries of Unij and bni. ... It follows that each entry of x̃S isnon-zero and that s(x̃)S = s(x)S and so,.