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  2. Lists of physics equations - Wikipedia

    en.wikipedia.org/wiki/Lists_of_physics_equations

    In physics, there are equations in every field to relate physical quantities to each other and perform calculations. Entire handbooks of equations can only summarize most of the full subject, else are highly specialized within a certain field. Physics is derived of formulae only.

  3. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2] The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of ...

  4. Geometric algebra - Wikipedia

    en.wikipedia.org/wiki/Geometric_algebra

    In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors ...

  5. Lie algebra - Wikipedia

    en.wikipedia.org/wiki/Lie_algebra

    Thus Lie algebras and their representations are used extensively in physics, notably in quantum mechanics and particle physics. An elementary example (not directly coming from an associative algebra) is the 3-dimensional space g = R 3 {\displaystyle {\mathfrak {g}}=\mathbb {R} ^{3}} with Lie bracket defined by the cross product [ x , y ] = x × ...

  6. 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 ...

  7. 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 .

  8. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Elementary algebra, also known as high school algebra or college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 2 ] whilst algebra introduces variables (quantities without fixed values).

  9. Measure (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Measure_(mathematics)

    A measure that takes values in the set of self-adjoint projections on a Hilbert space is called a projection-valued measure; these are used in functional analysis for the spectral theorem. When it is necessary to distinguish the usual measures which take non-negative values from generalizations, the term positive measure is used.

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