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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 ...
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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. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
[3] In addition, the chapter (or parts of it) is sometimes used as the Torah reading during the afternoon service on Yom Kippur, particularly in Reform Judaism, Reconstructionist Judaism, and Conservative Judaism. [4] [5] [6] In that context, it is used as a substitute for the traditional reading, which is the previous chapter, Leviticus 18. [7]
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 3-blade is a simple trivector, that is, it may be expressed as the wedge product of three vectors a, b, and c: a ∧ b ∧ c . {\displaystyle a\wedge b\wedge c.} In a vector space of dimension n , a blade of grade n − 1 is called a pseudovector [ 2 ] or an antivector .
Author: Orr, James, 1844-1913, ed: Short title: The International standard Bible encyclopedia; Date and time of digitizing: 03:09, 24 November 2009: Software used
Bibliotheca, a five-volume reader's bible. Bibliotheca is a five-volume [1] version of the Bible created by Adam Lewis Greene [2] published in 2016. It was funded in mid 2014 through a thirty-day Kickstarter campaign for which Greene set a goal of $37,000, but the campaign raised over $1.4 million. [3]