projection of a vector

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• Vector resolute — The vector resolute (also known as the vector projection) of two vectors, mathbf{a} in the direction of mathbf{b} (also mathbf{a} on mathbf{b} ), is given by::(mathbf{a}cdotmathbf{hat b})mathbf{hat b} or (|mathbf{a}|cos heta)mathbf{hat b} where… …   Wikipedia

• Vector notation — This page is an overview of the common notations used when working with vectors, which may be spatial or more abstract members of vector spaces.The common typographic convention for representing a vector is upright boldface type, as in v for a… …   Wikipedia

• Projection — Contents 1 Chemistry 2 Mathematics 3 Other 4 See also …   Wikipedia

• Vector quantization — is a classical quantization technique from signal processing which allows the modeling of probability density functions by the distribution of prototype vectors. It was originally used for data compression. It works by dividing a large set of… …   Wikipedia

• Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… …   Wikipedia

• Comparison of vector algebra and geometric algebra — Vector algebra and geometric algebra are alternative approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical… …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

• Projection (mathematics) — Commutativity of this diagram is the universality of projection π, for any map f and set X. Generally speaking, in mathematics, a projection is a mapping of a set (or of a mathematical structure) which is idempotent, which means that a projection …   Wikipedia

• Projection clock — A projection clock (also called ceiling clock) is an analog or digital clock equipped with a projector that creates an enlarged image of the clock face on any suitable projection screen, most often the ceiling. They are not very complex, and can… …   Wikipedia

• Projection-valued measure — In mathematics, particularly functional analysis a projection valued measure is a function defined on certain subsets of a fixed set and whose values are self adjoint projections on a Hilbert space. Projection valued measures are used to express… …   Wikipedia