linear combination

American  

noun

Mathematics.

1. a sum of products of each quantity times a constant.

   The expression aX + bY + cZ is a linear combination of X, Y, and Z, where a, b, and c are constants.

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Etymology

Origin of linear combination

First recorded in 1955–60

Example Sentences

Liu and Ma then invoke a second old theorem that allows them to write the derivative of each master integral as a linear combination of the same master integrals.

From Science Magazine • Nov. 30, 2022

These fits are for illustration purposes; the actual model maximized the cross-correlation of PSTHs by aligning them to a linear combination of tpress, trelease, and f.

From Nature • Mar. 28, 2017

These fits are for illustration purposes; the actual model maximized the cross-correlation of PSTHs by aligning them to a linear combination of tpress, trelease, and f.

From Nature • Mar. 28, 2017

If we find two solutions, then any linear combination of these solutions is also a solution.

From Textbooks • Mar. 30, 2016

Show that u, v, and p are linearly independent—that is, none of the vectors is a linear combination of the other two.

From Textbooks • Mar. 30, 2016