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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
All bivectors in two dimensions are of this form, that is multiples of the bivector e 1 e 2, written e 12 to emphasise it is a bivector rather than a vector. The magnitude of e 12 is 1 , with e 12 2 = − 1 , {\displaystyle \mathbf {e} _{12}^{2}=-1,}
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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 components of this bivector are the same as the components of the cross product. The magnitude of this bivector is the square root of the sum of the squares of its components. This shows that the magnitude of the bivector u ∧ v is the area of the parallelogram spanned by the vectors u and v as it lies in the three-dimensional space V. The ...
Matthew 3 is the third chapter of the Gospel of Matthew in the New Testament.It is the first chapter dealing with the ministry of Jesus, with events taking place some three decades after the close of the infancy narrative related in the previous two chapters.
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},
Christianity in turn adopted these ideas and identified Jesus with the Logos (Word): "In the beginning was the Word, and the Word was with God, and the Word was God" . [12] Interpreting and producing expositions of biblical cosmology was formalized into a genre of writing among Christians and Jews called the Hexaemal literature .