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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 ...
Two different models of the process of creation existed in ancient Israel. [15] In the "logos" (speech) model, God speaks and shapes unresisting dormant matter into effective existence and order (Psalm 33: "By the word of YHWH the heavens were made, and by the breath of his mouth all their hosts; he gathers up the waters like a mound, stores the Deep in vaults"); in the second, or "agon ...
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.
Leviticus 19 is the nineteenth chapter of the Book of Leviticus in the Hebrew Bible or the Old Testament of the Christian Bible. It contains laws on a variety of topics, and is attributed by tradition to Moses. [1]
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 ...
This is an outline of commentaries and commentators.Discussed are the salient points of Jewish, patristic, medieval, and modern commentaries on the Bible. The article includes discussion of the Targums, Mishna, and Talmuds, which are not regarded as Bible commentaries in the modern sense of the word, but which provide the foundation for later commentary.
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 ...