linear dependence

noun

, Mathematics.

1. (in linear algebra) the property of a set of elements in a vector space in which at least one of the vectors in the set can be written as a linear combination of the others.

Other Words From

• linearly dependent adjective

Example Sentences

If you’re familiar with the idea of linear dependence and independence in linear algebra, a matroid is a generalization of that idea.

From Scientific American

A linear dependence of drain current on light intensity was observed when the transistor was exposed to light, so possible applications include image sensing with high density and performance.

From Science Magazine

His father, Soviet physicist and 1978 Nobel Prize in Physics laureate Pyotr Leonidovich Kapitza, that same year discovered the linear dependence of resistivity on magnetic field for various metals in very strong magnetic fields.

From Scientific American