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The Woodbury matrix identity is [5] where A, U, C and V are conformable matrices: A is n × n, C is k × k, U is n × k, and V is k × n. This can be derived using blockwise matrix inversion . While the identity is primarily used on matrices, it holds in a general ring or in an Ab-category . The Woodbury matrix identity allows cheap computation ...
Milne-Thomson method for finding a holomorphic function. In mathematics, the Milne-Thomson method is a method for finding a holomorphic function whose real or imaginary part is given. [1] It is named after Louis Melville Milne-Thomson .
Subderivative. A convex function (blue) and "subtangent lines" at (red). In mathematics, subderivatives (or subgradient) generalizes the derivative to convex functions which are not necessarily differentiable. The set of subderivatives at a point is called the subdifferential at that point. [1] Subderivatives arise in convex analysis, the study ...
Polarization identity. In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space. If a norm arises from an inner product then the polarization identity can be used to express this inner product entirely in ...
Draining the fluid to relieve pressure. A combination of draining and filling the empty cyst with a fibrin glue to prevent a recurrence. Physical therapy to reduce symptoms. Medicine to manage ...
Conjectured in. 1939. Equivalent to. Dixmier conjecture. In mathematics, the Jacobian conjecture is a famous unsolved problem concerning polynomials in several variables. It states that if a polynomial function from an n -dimensional space to itself has Jacobian determinant which is a non-zero constant, then the function has a polynomial inverse.
Orthogonal basis. In mathematics, particularly linear algebra, an orthogonal basis for an inner product space is a basis for whose vectors are mutually orthogonal. If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal basis .
Gmail is the email service provided by Google. As of 2019, it had 1.5 billion active users worldwide, making it the largest email service in the world. [1] It also provides a webmail interface, accessible through a web browser, and is also accessible through the official mobile application. Google also supports the use of third-party email ...