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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 ...
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 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.
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 ...
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},
On 18 January 2010, ABC News reported Trijicon was placing references to verses in the Bible in the serial numbers of sights sold to the United States Armed Forces. [1] The "book chapter:verse" cites were appended to the model designation, and the majority of the cited verses are associated with light in darkness, referencing Trijicon's specialization in illuminated optics and night sights.
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 .