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On commutative A-loops of order PQ

Journal of Algebra and Its Applications, 2014
We study a construction introduced by Drápal, giving rise to commutative A-loops of order kn where k and n are odd numbers. We show which combinations of k and n are possible if the construction is based on a field or on a cyclic group. We conclude that if p and q are odd primes, there exists a non-associative commutative A-loop of order pq if and ...
Jedlička, Přemysl, Simon, Denis
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On pq-hyperelliptic Klein surfaces

manuscripta mathematica, 2007
A compact Klein surface \(X\) is a compact surface, orientable or non-orientable, with \( k\geq 0\) boundary components. If \(X\) is orientable and \(k=0\), then \(X\) is a Riemann surface. The algebraic genus \(d\geq2\) of \(X\) is the genus of the Riemann surface \(X^+\) that is its complex double.
Grzegorz Gromadzki, Ewa Tyszkowska
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The class number of $${\mathbb {Q}}(\sqrt{-pq})$$ for a congruent number pq

European Journal of Mathematics
Let \(p, q\) be primes such that \((p,q)\equiv (5,7) \mod 8\). Let \(n=pq\) be a congruent number. The authors prove that the class number \(h(-n)\) of the imaginary quadratic field \(\mathbb Q(\sqrt{-n})\) is divisible by \(8\). This result has been proved by \textit{H. Qin} [Math. Ann. 383, No.
Das, Shamik, Saikia, Anupam
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The pq-histogram as a navigation clue

Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292), 2003
We propose a visual clue for navigation, in which the local 3D information or (p, q) is summarised in a single structure, called the pq-histogram. The pq-histogram is obtained by discretising in logarithmic scale the local depth (p, q). Since this histogram gives a global view of the scene, it could be used as a fast clue for navigation. An arrangement
Giovani Gómez   +2 more
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PQ‐INTERVAL DEPENDING ON POSTURE

Acta Medica Scandinavica, 1969
Abstract Three healthy persons with prolonged PQ duration in supine position are presented. The PQ is normal in standing position. From these cases and from the literature it is concluded that a prolonged PQ‐interval in itself is no indication of heart disease and that in such cases a standing ECG should always be taken.
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???????????????????????? ???????????? ?????????? ?????????????? n = pq

2018
Problem of factorization is well known and it still has not solving. All known methods that has subexponential complexity are not destined for parallel implementation. For instance not all variants of GNFS [1] can be developed in parallel form. Only kGNFS admits parallel implementation.
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Computations in $$C_{pq}$$ C pq -Bredon cohomology

Mathematische Zeitschrift, 2019
Samik Basu, Surojit Ghosh
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PQ

2013
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