linear combination

noun

Definition of linear combination

: a mathematical entity (such as 4x + 5y + 6z) which is composed of sums and differences of elements (such as variables, matrices, or functions) especially when the coefficients are not all zero

Examples of linear combination in a Sentence

Recent Examples on the Web In a generic lattice, lattice points are generated by taking all possible linear combinations of some set of vectors (arrows pointing in different directions). Quanta Magazine, 8 Sep. 2015 Without an activation function, every neural network, no matter how complex, would be reducible to a linear combination of its inputs. Timothy B. Lee, Ars Technica, 18 Dec. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'linear combination.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of linear combination

1960, in the meaning defined above

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Time Traveler for linear combination

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The first known use of linear combination was in 1960

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Cite this Entry

“Linear combination.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/linear%20combination. Accessed 26 Jul. 2021.

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