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Linearly Dependent Curves


Two curves phi and psi satisfying

 phi+psi=0

are said to be linearly dependent. Similarly, n curves phi_i, i=1, ..., n are said to be linearly dependent if

 sum_(i=1)^nphi_i=0.

See also

Bertini's Theorem, Study's Theorem

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References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, pp. 32-34, 1959.

Referenced on Wolfram|Alpha

Linearly Dependent Curves

Cite this as:

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

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