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Additionally, Balbharati has made available 35 district-specific books for Standard III Geography, titled My District, which are accessible on the website. Furthermore, Balbharati introduced the new syllabus for Class XI and Class XII in the academic years 2019–2020, 2020–2021 and 2021–2022, respectively, with these updated textbooks also ...
Quaternions, one of the ways to describe rotations in three dimensions, consist of a four-dimensional space. Rotations between quaternions, for interpolation, for example, take place in four dimensions. Spacetime, which has three space dimensions and one time dimension is also four-dimensional, though with a different structure to Euclidean space.
List of textbooks in physics: Category:Physics textbooks; List of textbooks on classical mechanics and quantum mechanics; List of textbooks in electromagnetism;
In three dimensions, the derivative has a special structure allowing the introduction of a cross product: = + = + from which it is easily seen that Gauss's law is the scalar part, the Ampère–Maxwell law is the vector part, Faraday's law is the pseudovector part, and Gauss's law for magnetism is the pseudoscalar part of the equation.
One popular way of deriving realistic physics from string theory is to start with the heterotic theory in ten dimensions and assume that the six extra dimensions of spacetime are shaped like a six-dimensional Calabi–Yau manifold. This is a special kind of geometric object named after mathematicians Eugenio Calabi and Shing-Tung Yau. [66]
Similarly the IIA branes descend from the 11-dimension branes and geometry. The IIA D0-brane is a Kaluza–Klein momentum mode along the compactified circle. The IIA fundamental string is an 11-dimensional membrane which wraps the compactified circle. The IIA D2-brane is an 11-dimensional membrane that does not wrap the compactified circle.
11th dimension may refer to: 11-dimensional supergravity , a field theory that combines the principles of supersymmetry and general relativity. 11-dimensional spacetime, which appears in M-theory , a proposed "master theory" that unifies the five superstring theories
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory is a book by Brian Greene published in 1999, which introduces string and superstring theory, and provides a comprehensive though non-technical assessment of the theory and some of its shortcomings.