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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. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
The Masoretic Text is the medieval version of the Tanakh—written in Hebrew and Aramaic—that is considered the authoritative text of the Hebrew Bible by modern Rabbinic Judaism. The Septuagint is a Koine Greek translation of the Tanakh from the third and second centuries BCE; it largely overlaps with the Hebrew Bible.
[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]
Asimov's Guide to the Bible is a work by Isaac Asimov that was first published in two volumes in 1968 and 1969, [1] covering the Old Testament and the New Testament (including the Catholic Old Testament, or deuterocanonical, books (see Catholic Bible) and the Eastern Orthodox Old Testament books, or anagignoskomena, along with the Fourth Book of Ezra), respectively.
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]
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.