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International Journal of Number Theory, 2012
Let α ∈ ℤ\{0}. A positive integer N is said to be an α-Korselt number (Kα-number, for short) if N ≠ α and N - α is a multiple of p - α for each prime divisor p of N. By the Korselt set of N, we mean the set of all α ∈ ℤ\{0} such that N is a Kα-number; this set will be denoted by [Formula: see text].
Echi, Othman, Ghanmi, Nejib
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Let α ∈ ℤ\{0}. A positive integer N is said to be an α-Korselt number (Kα-number, for short) if N ≠ α and N - α is a multiple of p - α for each prime divisor p of N. By the Korselt set of N, we mean the set of all α ∈ ℤ\{0} such that N is a Kα-number; this set will be denoted by [Formula: see text].
Echi, Othman, Ghanmi, Nejib
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Science China Mathematics, 2012
Let \(F/k\) be a normal extension of number fields with Galois group \(G\). If in the Brauer-Kuroda relation of the Dedekind zeta functions of intermediate fields of \(F/k\) the zeta function of \(F\) does not appear (this only depends on \(G\)), then the group \(G\) is said to be exceptional (see \textit{J. Browkin} et al. [Bull. Pol. Acad. Sci., Math.
Browkin, Jerzy, Xu, Kejian
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Let \(F/k\) be a normal extension of number fields with Galois group \(G\). If in the Brauer-Kuroda relation of the Dedekind zeta functions of intermediate fields of \(F/k\) the zeta function of \(F\) does not appear (this only depends on \(G\)), then the group \(G\) is said to be exceptional (see \textit{J. Browkin} et al. [Bull. Pol. Acad. Sci., Math.
Browkin, Jerzy, Xu, Kejian
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The travelling salesman and the PQ-tree
Mathematics of Operations Research, 1996Let D = (dij ) be the n × n distance matrix of a set of n cities {1, 2, …, n}, and let T be a PQ-tree with node degree bounded by d that represents a set Π(T) of permutations over {1, 2, …, n}. We show how to compute for D in O(2 dn 3) time the shortest travelling salesman tour contained in Π(T).
Burkard, R.E. +2 more
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PQ Forum #20. Problems Impacting PQ Documents
Journal of Validation Technology, 2021Managers have also described problems that have negatively impacted PQ documents, problems not with validation PQ documents per se, but associated problems affecting PQ documents. These events damaged PQ credibility, and sometimes necessitated repetition of a previously completed validation. These experiences demonstrate the need for proactive measures
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Canadian Journal of Mathematics, 1968
By a PQ (product-quotients) algebra, we mean a non-empty set together with three single-valued and not necessarily associative operations ., / , \ that we shall treat as product, right quotient, and left quotient although we require no relation between them. The theory of binary systems provides the following examples:A.
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By a PQ (product-quotients) algebra, we mean a non-empty set together with three single-valued and not necessarily associative operations ., / , \ that we shall treat as product, right quotient, and left quotient although we require no relation between them. The theory of binary systems provides the following examples:A.
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Power Quality (PQ)-Standards und PQ-Monitoring
e & i Elektrotechnik und Informationstechnik, 2002Durch die neuen wirtschaftlichen Rahmenbedingungen im Zuge der Deregulierung werden Netzausbau und Netzbetrieb in Zukunft anders geplant; Kennwerte der Netzqualitat spielen dabei eine wichtige Rolle. Nach einer systematischen Ubersicht uber die verschiedenen Qualitatsmerkmale der elektrischen Energieversorgung wird die Power Quality als zentraler ...
L. Fickert, H. Renner
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Quantum chemistry in parallel with PQS
Journal of Computational Chemistry, 2008AbstractThis article describes the capabilities and performance of the latest release (version 4.0) of the Parallel Quantum Solutions (PQS) ab initio program package. The program was first released in 1998 and evolved from the TEXAS program package developed by Pulay and coworkers in the late 1970s. PQS was designed from the start to run on Linux‐based
Jon Baker +8 more
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PQ Forum #23. PQ Documents List In Validation Plan
Journal of Validation Technology, 2021“PQ Forum” provides a mechanism for validation practitioners to share information related to Stage 2 Process Qualification in the validation lifecycle. Information about supporting activities such as design and development, equipment, and analytical validation will also be shared.
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