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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 ...
Download as PDF; Printable version; ... and strangers – are singled out in the Bible for special protection (Psalm 72:2, 4). ... is a summary of ancient oral law ...
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.
[6] [7] In April 2016, The Bible App became available on the Apple Watch [8] allowing users to read the Verse of the Day, view trending verses, and access their own Verse Images, Bookmarks, and Highlights. [9]
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}, (+ +) represents bivector q = vi + wj + xk.
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 Blue Letter Bible (BLB) project is an initiative of Sowing Circle, a United States–based, non-denominational Christian ministry that has created a study Bible and Bible study tools stated to "make reading, searching and studying the Bible easy and rewarding". [1]