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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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Asimov's Guide to the Bible is a work by Isaac Asimov that was first published in two volumes in 1968 and 1969, [1] covering the Old Testament and the New Testament (including the Catholic Old Testament, or deuterocanonical, books (see Catholic Bible) and the Eastern Orthodox Old Testament books, or anagignoskomena, along with the Fourth Book of Ezra), respectively.
[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 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.
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.
Two different models of the process of creation existed in ancient Israel. [15] In the "logos" (speech) model, God speaks and shapes unresisting dormant matter into effective existence and order (Psalm 33: "By the word of YHWH the heavens were made, and by the breath of his mouth all their hosts; he gathers up the waters like a mound, stores the Deep in vaults"); in the second, or "agon ...