reflection principles造句

例句与造句

1. A new client was loco about Bert's previous commercial, " The Reflection Principle ".
2. There are many more powerful reflection principles, which are closely related to the various large cardinal axioms.
3. By the Schwarz reflection principle . " f " can be extended to a conformal map between these open dense sets.
4. More formally, the reflection principle refers to a lemma concerning the distribution of the supremum of the Wiener process, or Brownian motion.
5. Bernays used a reflection principle as an axiom for one version of set theory ( not Von Neumann Bernays G鰀el set theory, which is a weaker theory ).
6. It's difficult to find reflection principles in a sentence. 用reflection principles造句挺难的
7. For almost every known large cardinal axiom there is a known reflection principle that implies it, and conversely all but the most powerful known reflection principles are implied by known large cardinal axioms.
8. For almost every known large cardinal axiom there is a known reflection principle that implies it, and conversely all but the most powerful known reflection principles are implied by known large cardinal axioms.
9. More extended metaphors follow, including one offering a kabbalistic version of the reflection principle, and another involving a partially explicit Turing machine, suggesting the serial killer is simply an automaton following a program.
10. A cumulative hierarchy satisfies a form of the reflection principle : any formula of the language of set theory that holds in the union " W " of the hierarchy also holds in some stages " W " ?.
11. For any natural number n, one can prove from ZFC a reflection principle which says that given any ordinal ?, there is an ordinal ? > ? such V ? satisfies all first order sentences of set theory which are true for V and contain fewer than n quantifiers.
12. His reflection principle stated roughly that if " A " is a class with some property, then one can find a transitive set " u " such that " A ) " u " has the same property when considered as a subset of the " universe " " u ".
13. In mathematics, applying the "'Schwarz reflection principle "'is a way to extend the domain of definition of an analytic function of a complex variable, " F ", which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis.
14. Another version of the reflection principle says that for any "'finite "'number of formulas of ZFC we can find a set " V " ? in the cumulative hierarchy such that all the formulas in the set are absolute for " V " ? ( which means very roughly that they hold in " V " ? if and only if they hold in the universe of all sets ).
15. This proof depends on a trick known as Andr?s reflection method, which was originally used in connection with Bertrand's ballot theorem . ( The reflection principle has been widely attributed to D閟ir?Andr? but his method did not actually use reflections; and the reflection method is a variation due to Aebly and Mirimanoff . ) We count the paths which start and end on the diagonal of the " n " ?" n " grid.
16. One form of the reflection principle in ZFC says that for any "'finite "'set of axioms of ZFC we can find a countable transitive model satisfying these axioms . ( In particular this proves that ZFC is not finitely axiomatizable, because if it were it would prove the existence of a model of itself, and hence prove its own consistency, contradicting G鰀el's second incompleteness theorem . ) This version of the reflection theorem is closely related to the L鰓enheim-Skolem theorem.
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