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单词 existence theorem
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existence theorem
existence theorem n. Mathematics a theorem which asserts the existence of a particular mathematical object or class of objects that satisfies one or more conditions.
ΚΠ
1893 A. R. Forsyth Theory Functions Complex Variable Pref. p. vii The proof which is given of the existence-theorem is substantially due to Schwarz.
1968 Proc. Amer. Math. Soc. 19 214 We will use this observation to deduce an existence theorem for homomorphisms between groups.
2006 A. Ash & R. Gross Fearless Symmetry viii. 98 We have an ‘existence theorem’ that shows us how to be sure there are lots of elements in G.
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