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Download QR code; In other projects ... Summary. Description: English: first published 1898 ... Version of PDF format: 1.5
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 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. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
Beck's American Translation is an abbreviated version of "The Holy Bible: An American Translation" by William F. Beck (abbreviated BECK, but also AAT; not to be confused with Smith/Goodspeed's earlier "An American Translation", which is abbreviated AAT or SGAT).
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.
Bible translations such as the Rotherham's Emphasized Bible, the Anchor Bible, and the Jerusalem Bible have retained the name Yahweh in the Old Testament. The SSBE is one of the few English Bible translations that uses Yahweh in both the Old Testament and the New Testament. We have restored the Sacred Name and the Sacred titles to the English ...