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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},
A bivector is an element of the antisymmetric tensor product of a tangent space with itself. In geometric algebra , also, a bivector is a grade 2 element (a 2-vector) resulting from the wedge product of two vectors, and so it is geometrically an oriented area , in the same way a vector is an oriented line segment.
A two-vector or bivector [1] is a tensor of type () and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars). The tensor product of a pair of vectors is a two-vector.
Outline studies of the Bible "including a study of the Bible as a whole by periods and by books" Analyses of the books of the Bible giving the origin of the name of the book, the author or authors, key words, a synopsis or analysis, and so on; Character studies including
3 Leviticus 19 is the nineteenth chapter of the Book of Leviticus in the Hebrew Bible or the Old Testament of the Christian Bible . It contains laws on a variety of topics, and is attributed by tradition to Moses .
Download as PDF; Printable version; In other projects Wikidata item; ... (also known as Bible.com or the Bible App) ... [12] Criticism. YouVersion has been accused of ...