Results 111 to 120 of about 1,667,420 (169)

Deep Learning-Based Algorithms for Real-Time Lung Ultrasound Imaging

open access: green
Mario Muñoz   +4 more
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A DIVISION ALGORITHM

Journal of Algebra and Its Applications, 2005
A divisibility test of Arend Heyting, for polynomials over a field in an intuitionistic setting, may be thought of as a kind of division algorithm. We show that such a division algorithm holds for divisibility by polynomials of content 1 over any commutative ring in which nilpotent elements are zero.
openaire   +2 more sources

A quaternion QR algorithm

Numerische Mathematik, 1989
Quaternion matrices are matrices whose elements are quaternions, i.e. numbers of the form \(\alpha_ R+\alpha_ Ii+\beta_ Rj-\beta_ Ik\) where \(i^ 2=j^ 2=k^ 2=-1\), \(ij=-ji=k\), \(jk=-kj=i\), and \(ki=-ik=j\). Such matrices arise naturally in e.g. quantum mechanical problems.
Bunse-Gerstner, Angelika   +2 more
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