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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 ...
Download as PDF; Printable version; In other projects ... (also known as Bible.com or ... Text is available under the Creative Commons Attribution-ShareAlike 4.0 ...
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 ...
Smith's Bible Dictionary, originally named A Dictionary of the Bible, is a 19th-century Bible dictionary containing upwards of four thousand entries that became named after its editor, William Smith. Its popularity was such that condensed dictionaries appropriated the title, "Smith's Bible Dictionary".
[3] In addition, the chapter (or parts of it) is sometimes used as the Torah reading during the afternoon service on Yom Kippur, particularly in Reform Judaism, Reconstructionist Judaism, and Conservative Judaism. [4] [5] [6] In that context, it is used as a substitute for the traditional reading, which is the previous chapter, Leviticus 18. [7]
The Anchor Bible Commentary Series, created under the guidance of William Foxwell Albright (1891–1971), comprises a translation and exegesis of the Hebrew Bible, the New Testament and the Intertestamental Books (the Catholic and Eastern Orthodox Deuterocanon/the Protestant Apocrypha; not the books called by Catholics and Orthodox "Apocrypha", which are widely called by Protestants ...
The components of this bivector are the same as the components of the cross product. The magnitude of this bivector is the square root of the sum of the squares of its components. This shows that the magnitude of the bivector u ∧ v is the area of the parallelogram spanned by the vectors u and v as it lies in the three-dimensional space V. The ...