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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 ...
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
Scofield Reference Bible, page 1115. This page includes Scofield's note on John 1:17. The Scofield Bible had several innovative features. Most important, it printed what amounted to a commentary on the biblical text alongside the Bible instead of in a separate volume, the first to do so in English since the Geneva Bible (1560). [2]
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.
Now (hr 2) 2 = (−1)(−1) = +1, and the biquaternion curve {exp θ(hr 2) : θ ∈ R} is a unit hyperbola in the plane {x + yr 2 : x, y ∈ R}. The spacetime transformations in the Lorentz group that lead to FitzGerald contractions and time dilation depend on a hyperbolic angle parameter. In the words of Ronald Shaw, "Bivectors are logarithms ...
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.
A Bible dictionary is a reference work containing encyclopedic entries related to the Bible, typically concerning people, places, customs, doctrine and Biblical criticism. Bible dictionaries can be scholarly or popular in tone.
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.