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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 ...
The Catholic Bible contains 73 books; the additional seven books are called the Apocrypha and are considered canonical by the Catholic Church, but not by other Christians. When citing the Latin Vulgate , chapter and verse are separated with a comma, for example "Ioannem 3,16"; in English Bibles chapter and verse are separated with a colon, for ...
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 Committee on Bible Translation wanted to build a new version on the heritage of the NIV and, like its predecessor, create a balanced mediating version–one that would fall in-between the most literal translation and the most free; [3] between word-for-word (Formal Equivalence) [3] and thought-for-thought (Dynamic Equivalence). [3]
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 Book of Genesis in a c. 1300 Hebrew Bible The Great Isaiah Scroll (1QIsa a), one of the Dead Sea Scrolls, is the oldest complete copy of the Book of Isaiah. The Bible is not a single book; it is a collection of books whose complex development is not completely understood.
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 ...