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Linearly Dependent Sequences

Sequences x_n^((1)), x_n^((2)), ..., x_n^((k)) are linearly dependent if constants c_1, c_2, ..., c_k (not all zero) exist such that

sum_(i=1)^kc_ix_n^((i))=0

for n=0, 1, ....

See also

Casoratian

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References

Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 229, 1995.

Referenced on Wolfram|Alpha

Linearly Dependent Sequences

Cite this as:

Weisstein, Eric W. "Linearly Dependent Sequences." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LinearlyDependentSequences.html

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