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  2. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    When used as a countable noun, an algebra is a specific type of algebraic structure that involves a vector space equipped with a certain type of binary operation. [15] Depending on the context, "algebra" can also refer to other algebraic structures, like a Lie algebra or an associative algebra. [16] The word algebra comes from the Arabic term ...

  3. An Exceptionally Simple Theory of Everything - Wikipedia

    en.wikipedia.org/wiki/An_Exceptionally_Simple...

    The paper was posted to the physics arXiv by Antony Garrett Lisi on November 6, 2007, and was not submitted to a peer-reviewed scientific journal. [3] The title is a pun on the algebra used, the Lie algebra of the largest "simple", "exceptional" Lie group, E 8.

  4. Theory of everything - Wikipedia

    en.wikipedia.org/wiki/Theory_of_everything

    There is a philosophical debate within the physics community as to whether a theory of everything deserves to be called the fundamental law of the universe. [57] One view is the hard reductionist position that the theory of everything is the fundamental law and that all other theories that apply within the universe are a consequence of the ...

  5. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n 4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.

  6. Abstract algebra - Wikipedia

    en.wikipedia.org/wiki/Abstract_algebra

    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .

  7. Mathematics of general relativity - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_general...

    The main tools used in this geometrical theory of gravitation are tensor fields defined on a Lorentzian manifold representing spacetime. This article is a general description of the mathematics of general relativity. Note: General relativity articles using tensors will use the abstract index notation.

  8. Twistor theory - Wikipedia

    en.wikipedia.org/wiki/Twistor_theory

    The theory is named after Buckingham Palace, where Michael Atiyah [47] suggested to Penrose the use of a type of "noncommutative algebra", an important component of the theory. (The underlying twistor structure in palatial twistor theory was modeled not on the twistor space but on the non-commutative holomorphic twistor quantum algebra.)

  9. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    This use of variables entails use of algebraic notation and an understanding of the general rules of the operations introduced in arithmetic: addition, subtraction, multiplication, division, etc. Unlike abstract algebra , elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers .

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