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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
[2] [3] In layman terms, any surface defines the same bivector if it is parallel to the same plane (same attitude), has the same area, and same orientation (see figure). Bivectors are generated by the exterior product on vectors: given two vectors a and b , their exterior product a ∧ b is a bivector, as is any sum of bivectors.
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},
For Christians, the Old Testament statements are enhanced by multiple verses such as Matthew 10:8, Luke 10:9 and 9:2, and Acts 5:16 that say "heal the sick". Authors Vern and Bonnie Bullough write in The care of the sick: the emergence of modern nursing, that this is seen as an aspect of following Jesus's example, since so much of his public ...
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]
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.
The core of the book, taking up almost 300 of its approximately 380 pages in the paperback edition, is Friedman's own translation of the five Pentateuchal books, in which the four sources plus the contributions of the two redactors (of the combined JE source and the later redactor of the final document) are indicated typographically.