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Translations for „linear independence“ in the English » German Dictionary (Go to German » English)

Monolingual examples (not verified by PONS Editors)

English
He then develops the theory of linear independence in a way which is astonishingly similar to the presentation one finds in modern linear algebra texts.
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On the contrary, linear independence is a mere instance of present independence, which becomes equivalent to it in such vector spaces.
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If the eigenvalues have an algebraic multiplicity greater than 1, then repeat the process, but now multiplying by an extra factor of for each repetition, to ensure linear independence.
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This was a result which established the algebraic independence of classes of numbers rather than just linear independence.
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In his work, the concepts of linear independence and dimension, as well as scalar products are present.
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Allowing more linear combinations in this case can also lead to a different concept of span, linear independence, and basis.
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For linear equations, logical independence is the same as linear independence.
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Since the manifold metric is always assumed to be regular, the compatibility condition implies linear independence of the partial derivative tangent vectors.
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In the base space, this linear independence manifests as each point lying outside the object defined by the other points.
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Also, several other generalizations of linear independence for universal algebras do not imply present independence.
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