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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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The Bible [a] is a collection of religious texts and scriptures that are held to be sacred in Christianity, and partly in Judaism, Samaritanism, Islam, the BaháΚΌí Faith, and other Abrahamic religions. The Bible is an anthology (a compilation of texts of a variety of forms) originally written in Hebrew, Aramaic, and Koine Greek. The texts ...
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.
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 ...
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. [1]
Isaiah 62 is the sixty-second chapter of the Book of Isaiah in the Hebrew Bible or the Old Testament of the Christian Bible. This book contains the prophecies attributed to the prophet Isaiah, and is one of the Books of the Prophets. [1] Chapters 56-66 are often referred to as Trito-Isaiah. [2]
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.