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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.
[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.
Codex Sinaiticus (ca. AD 330–360), Matthew 2:5-3:7 Codex Sinaiticus (ca. AD 330–360), Matthew 3:7-4:19. In the King James Version, this chapter reads: 1 In those days came John the Baptist, preaching in the wilderness of Judaea, 2 And saying, Repent ye: for the kingdom of heaven is at hand. 3 this is he that was spoken of by the prophet ...
The conjugate transpose of this matrix corresponds to −q, so the representation of bivector q is a skew-Hermitian matrix. Ludwik Silberstein studied a complexified electromagnetic field E + hB, where there are three components, each a complex number, known as the Riemann–Silberstein vector. [5] [6]