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4 Oct 2023: We can compute the Witten index by simply. summing over the critical points X, just as we did in (1.24).

15 Jul 2023: 24/37. 𝐴 𝑚𝑁 modality,𝑚 < 𝑁 , 𝑆 = 𝑦𝑘 𝑘=1𝑅 samples. ... 24] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422.

14 Feb 2023: KaðzÞffiffiffiffiffip2z. rez 1þ4a. 2 18z. þð4a2 1Þð4a2 9Þ. 128z2. ; (24).

26 Jan 2023: x, y) = n,k(x mE/eB2, y) (1.24). and the energies are now given by. ... 24 –. which obey @z = @̄z̄ = 1 and @z̄ = @̄z = 0.

20 Nov 2023: Brown [27–29]) and Toeplitztheory (see A. Böttcher & B. Silberman [24–26]).

1 Dec 2023: Received 24 February 2017; revised 22 May 2017; accepted 10 July 2017;first published online 30 August 2017).

14 Jan 2023: 2e20. Zddx. (4.24). The factor of N in front of the first term is what gives us hope because, in the limit. ... Specifically, we send N! 1,. keeping e20N fixed. The path integral (4.24) is then dominated by the minimum.

1 Dec 2023: u = 0. (2.1). In place of the Navier–Stokes equations for an unconfined fluid, in a porous medium the Darcyvelocity u is governed by Darcy’s Law [23,24], which

16 Jun 2023: Therefore, its spectral information can be far more complicatedand more difficult to compute than that of a finite matrix [91, 20, 5, 24, 22].

9 May 2023: V. d3x0J(x0). |x x0|. – 24 –. If we subsequently take the curl of this equation, then we get an expression for the.