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The geometric algebra is Cl 3,1 (R), and the subspace of bivectors is ⋀ 2 R 3,1. The simple bivectors are of two types. The simple bivectors e 23, e 31 and e 12 have negative squares and span the bivectors of the three-dimensional subspace corresponding to Euclidean space, R 3. These bivectors generate ordinary rotations in R 3.
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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. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
The term "Bible" can refer to the Hebrew Bible or the Christian Bible, which contains both the Old and New Testaments. [2]The English word Bible is derived from Koinē Greek: τὰ βιβλία, romanized: ta biblia, meaning "the books" (singular βιβλίον, biblion). [3]
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},
Bibliotheca, a five-volume reader's bible. Bibliotheca is a five-volume [1] version of the Bible created by Adam Lewis Greene [2] published in 2016. It was funded in mid 2014 through a thirty-day Kickstarter campaign for which Greene set a goal of $37,000, but the campaign raised over $1.4 million. [3]
[3] This format is the one accepted by the Chicago Manual of Style to cite scriptural standard works. The MLA style is similar, but replaces the colon with a period. Citations in the APA style add the translation of the Bible after the verse. [5] For example, (John 3:16, New International Version). Translation names should not be abbreviated (e ...