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Conservation of Number Principle


A generalization of Poncelet's continuity principle made by H. Schubert in 1874-1879. The conservation of number principle asserts that the number of solutions of any determinate algebraic problem in any number of parameters under variation of the parameters is invariant in such a manner that no solutions become infinite. Schubert called the application of this technique the calculus of enumerative geometry.


See also

Continuity Principle, Duality Principle, Hilbert's Problems

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References

Bell, E. T. The Development of Mathematics, 2nd ed. New York: McGraw-Hill, p. 340, 1945.

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Conservation of Number Principle

Cite this as:

Weisstein, Eric W. "Conservation of Number Principle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConservationofNumberPrinciple.html

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