Results 71 to 80 of about 354 (175)
, 2012 Algebraic equations on complex numbers and functional equations on generating functions are often used to solve combinatorial problems. But the introduction of common arithmetic operators such as subtraction and division always causes panic in the world ...
Chen, Wei
core
Optimal Control‐Based Generic Framework for Radiofrequency Pulse Design in MRI
NMR in Biomedicine, Volume 39, Issue 6, June 2026.This paper presents an open‐source Python‐based optimal control RF design framework, which can tackle various problems (short‐T2 selective excitation or B1‐robust excitation/inversion). It features three main methodological contributions: a specific cost is introduced to reduce pulse peak amplitude; consistent integration of various hard constraints on
Emilio Molina +2 more
wiley +1 more source
On Algebraic Numbers and Quadratic Extensions
, 2013 . In this thesis some basic properties of algebraic el- ements, integral elements and extensions of rings and elds are investigated. Special focus is given to quadratic extensions.
Zickert, Gustav
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Certifying Rings of Integers in Number Fields
Number fields and their rings of integers, which generalize the rational numbers and the integers, are foundational objects in number theory. There are several computer algebra systems and databases concerned with the computational aspects of these.
Dahmen, Sander R.; id_orcid +2 more
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Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high‐dimensional, correlated data. While existing methods capture either aleatoric or epistemic uncertainty, few offer closed‐form, multidimensional distributions that preserve spatial correlation while ...
Harrison J. Goldwyn +4 more
wiley +1 more source
GAUSS AND KLOOSTERMAN SUMS OVER RESIDUE RINGS OF ALGEBRAIC INTEGERS
, 2011 Let K be a field of degree n over Q, the field of rational numbers, with ring of integers O. Fix an integer m > 1, say with [Formula: see text] as a product of distinct prime powers, and let χ be a numerical character modulo m of conductor f(χ).
S. GURAK
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, 2020 In this paper, we obtained the primality criteria for ideals of rings of integer algebraic elements of finite extensions of the field Q, which are analogues of Miller and Euler’s primality criteria for rings of integers.
N. P. Prochorov +1 more
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Coherent Forecasting of Ordinal Time Series With Application to Air‐Quality Data
Australian &New Zealand Journal of Statistics, Volume 68, Issue 2, June 2026.ABSTRACT Motivated by an application to air quality data, we provide a comprehensive investigation of coherent forecasting techniques for ordinal time series. Here, the coherency requirement expresses that the computed forecast values have to be consistent with the ordered qualitative range of the data‐generating process (DGP).
Christian H. Weiß +2 more
wiley +1 more source
On Hilbert's tenth problem over rings of algebraic integers
, 2019 Hilberts zehntes Problem fragt, ob ein Algorithmus existiert, der zu gegebenen multivariaten Polynom mit ganzzahligen Koeffizienten entscheiden kann, ob dieses ganzzahlige Nullstellen besitzt.
Herbstrith, Tim Benedikt
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Educational Measurement: Issues and Practice, Volume 45, Issue 2, Summer 2026.Abstract Diagnostic classification models (DCMs) assess students’ mastery of cognitive attributes to provide personalized ability profiles. Retrofitting DCMs to large‐scale mathematics assessments usually relies on inferred Q‐matrices, which can reduce accuracy and diagnostic value.
Farshad Effatpanah +4 more
wiley +1 more source