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linear order

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  • Linear extension — In order theory, a branch of mathematics, a linear extension of a partial order is a linear order (or total order) that is compatible with the partial order. Contents 1 Definitions 2 Order extension principle 3 Related results …   Wikipedia

  • Order dimension — A partial order of dimension 4 (shown as a Hasse diagram) and four total orderings that form a realizer for this partial order. In mathematics, the dimension of a partially ordered set (poset) is the smallest number of total orders the… …   Wikipedia

  • Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …   Wikipedia

  • Order (sort) — An order is a way of sorting entries, also called elements, in a list. The mathematical concept of linear order is closely related.* Chronological order mdash; listing by time, earliest to latest. (first, next, then, etc.) * Lexicographical order …   Wikipedia

  • Linear programming — (LP, or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships.… …   Wikipedia

  • Linear least squares — is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the… …   Wikipedia

  • Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …   Wikipedia

  • Linear predictive coding — (LPC) is a tool used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital signal of speech in compressed form, using the information of a linear predictive model. It is one of the most… …   Wikipedia

  • Linear temporal logic — (LTL) is a modal temporal logic with modalities referring to time. In LTL, one can encode formulae about the future of paths such as that a condition will eventually be true, that a condition will be true until another fact becomes true,… …   Wikipedia

  • Linear predictive analysis — can be thought of as a simple form of first order extrapolation: if it has been changing at this rate then it will probably continue to change at approximately the same rate, at least in the short term. This is equivalent to fitting a tangent to… …   Wikipedia

  • Linear Arithmetic synthesis — Linear Arithmetic synthesis, or LA synthesis, is a term that was invented by the Roland Corporation when they released their ground breaking D 50 synthesizer in 1987.It was the first keyboard to combine a synthesizer with sampled waveforms that… …   Wikipedia

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