We analyse the general structure of three-point functions conserved higher-spin supercurrents in 3D, $\mathcal{N}=1$ superconformal field theory. It is shown that supersymmetry imposes additional restrictions on correlation currents. develop a manifestly supersymmetric formalism to compute function $\langle \mathbf{J}^{}_{s_{1}} \mathbf{J}'_{s_{2}} \mathbf{J}''_{s_{3}} \rangle$, where $\mathbf{...

Abstract We answer some questions in a paper by Kaneko and Koike [‘On modular forms arising from differential equation of hypergeometric type’, Ramanujan J. 7 (1–3) (2003), 145–164] about the modularity solutions certain equation. In particular, we provide number-theoretic explanation why occurs cases does not occur others. This also proves their conjecture on completeness list after adding mis...

We explain and advance Levin’s theory of average case completeness. In particular, we exhibit examples of problems complete in the average case and prove a limitation on the power of deterministic reductions. ∗J. Computer and System Sciences 42:3, June 1991, 346–398. †Partially supported by NSF grant DCR 85-03275.

Assume we are given a sub-integrable arrow v. In [7, 7], the authors extended quasi-reversible isometries. We show that g ≥ P . It is not yet known whether J is not equivalent to z̄, although [7] does address the issue of completeness. In this context, the results of [37, 18] are highly relevant.

The numerous extragalactic and cosmological motivations of the DENIS and 2MASS near infrared surveys are outlined. The performance of the DENIS survey is estimated from 50deg of high galactic latitude data (20◦ < |b| < 60◦). Simple star/galaxy separation methods are presented and comparison with 300 visually classified objects as well as COSMOS and APM classifications. We find that the peak int...

Colonoscopy is one of the most commonly performed endoscopic procedures, and it has played a pivotal role in the detection and prevention of colorectal cancer (CRC). Small (6–9mm) and diminutive (1–5mm) colorectal polyps account for a large proportion of lesions found during colonoscopy. Recent evidence suggests that colonoscopy may be less effective at CRC prevention than previously thought [1...

We introduce BPDL, a combination of propositional dynamic logic PDL with the basic four-valued modal logic BK studied by Odintsov and Wansing (‘Modal logics with Belnapian truth values’, J. Appl. Non-Class. Log. 20, 279–301 (2010)). We modify the standard arguments based on canonical models and filtration to suit the four-valued context and prove weak completeness and decidability of BPDL.