Results 121 to 130 of about 542 (165)

Implementation of a Low-Cost Navigation System Using Data Fusion of a Micro-Electro-Mechanical System Inertial Sensor and an Ultra Short Baseline on a Microcontroller. [PDF]

Sensors (Basel)
Winkler J, Badri-Hoeher S.
europepmc   +1 more source

On the hypercomplex numbers and normed division algebras in all dimensions: A unified multiplication. [PDF]

PLoS One
Singh P, Gupta A, Joshi SD.
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Research on Kinematic Calibration and Trajectory Tracking of the Dual-Robot Collaborative Grinding and Polishing System. [PDF]

Sensors (Basel)
Yan W, Xu L, Sun Y, Xu H, Ji Z.
europepmc   +1 more source

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On the quaternionic Weyl algebra

Advances in Applied Clifford Algebras, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SABADINI, IRENE MARIA, D. Struppa
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Quaternion Algebras

1999
No abstract.
Ivanyos, G., Rónyai, L.
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Quaternion Algebras I

2003
One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
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On quaternion algebras

Journal of Mathematical Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Algebraic Riccati Equation for Quaternions

Advances in Applied Clifford Algebras, 2013
The paper studies a Riccati equation \[ p(x):=a+bx+xc+xdx=0,\qquad a,b,c,d,x \in \mathbb{H}, \] where \(p\) is a quaternionic polynomial, which is shown to be reducible to a one-sided type. The set of quaternions \( \mathbb{H}\) can be seen as the four-dimensional vector space \( \mathbb{R}^4\) equipped with a special multiplication rule.
Janovská, Drahoslava, Opfer, Gerhard
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An Embedding Theorem for Quaternion Algebras

Journal of the London Mathematical Society, 1999
We prove an integral version of a classical embedding theorem concerning quaternion algebras \(B\) over a number field \(k\). Assume \(B\) satisfies the Eichler condition, i.e. that some infinite place of \(k\) is not ramified in \(B\), and let \(\Omega\) be an order in a quadratic extension of \(k\). We determine which maximal orders of \(B\) admit an
Chinburg, Ted, Friedman, Eduardo
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