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Parallel plane segments with the same orientation and area corresponding to the same bivector a ∧ b. [1] In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering a scalar as a degree-zero quantity and a vector as a degree-one quantity, a bivector is ...
Given a bivector r = r 1 + hr 2, the ellipse for which r 1 and r 2 are a pair of conjugate semi-diameters is called the directional ellipse of the bivector r. [4]: 436 In the standard linear representation of biquaternions as 2 × 2 complex matrices acting on the complex plane with basis {1, h},
International scientific open access bibliography for theology and religious studies. The IxTheo lists monographs, collected works, journals, essays, encyclopaedia articles, reviews as well as databases, archive materials, literary remains, blogs, podcasts, research data and other electronically available content from all fields of theology.
In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime.
[2] The journal covers all main fields of management studies: from entrepreneurship and organizational behaviour to strategic management and finance. Each issue contains between five and six articles, which examine the relevant academic scholarship published on a specific aspect of a management sub-discipline.
The derivatives that appear in Maxwell's equations are vectors and electromagnetic fields are represented by the Faraday bivector F. This formulation is as general as that of differential forms for manifolds with a metric tensor, as then these are naturally identified with r -forms and there are corresponding operations.
This is a list of open-access journals by field. The list contains notable journals which have a policy of full open access. It does not include delayed open access journals, hybrid open access journals, or related collections or indexing services.
Since the vector term of the vector bivector product the name dot product is zero when the vector is perpendicular to the plane (bivector), and this vector, bivector "dot product" selects only the components that are in the plane, so in analogy to the vector-vector dot product this name itself is justified by more than the fact this is the non ...