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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 ...
Author: Orr, James, 1844-1913, ed: Short title: The International standard Bible encyclopedia; Date and time of digitizing: 03:09, 24 November 2009: Software used
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 ...
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The New International Version (NIV) is a translation of the Bible into contemporary English. Published by Biblica , the complete NIV was released on October 27, 1978 [ 6 ] with a minor revision in 1984 and a major revision in 2011.
[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 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 ...
Matthew 3 is the third chapter of the Gospel of Matthew in the New Testament.It is the first chapter dealing with the ministry of Jesus, with events taking place some three decades after the close of the infancy narrative related in the previous two chapters.