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The geometric algebra is Cl 3,1 (R), and the subspace of bivectors is ⋀ 2 R 3,1. The simple bivectors are of two types. The simple bivectors e 23, e 31 and e 12 have negative squares and span the bivectors of the three-dimensional subspace corresponding to Euclidean space, R 3. These bivectors generate ordinary rotations in R 3.
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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 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 Baháʼí Faith, and other Abrahamic religions.
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.
[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]
The chapter begins with God giving Moses a message for the Israelites about the need to be holy, to respect parents, and to avoid idolatry (verses 1–4). Next are instructions for peace offerings (5-8), food aid for poor people and foreigners (9-10), and various instructions relating to ethical treatment of others (11-18) and agricultural ...
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