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.
Conservation of Number Principle
See also
Continuity Principle, Duality Principle, Hilbert's ProblemsExplore with Wolfram|Alpha
References
Bell, E. T. The Development of Mathematics, 2nd ed. New York: McGraw-Hill, p. 340, 1945.Referenced on Wolfram|Alpha
Conservation of Number PrincipleCite this as:
Weisstein, Eric W. "Conservation of Number Principle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConservationofNumberPrinciple.html