Definition of Counterexamples. Meaning of Counterexamples. Synonyms of Counterexamples

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Definition of Counterexamples

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Meaning of Counterexamples from wikipedia

- a counterexample involving n = 5; other n = 5 counterexamples are now known, as well as some n = 4 counterexamples. Witsenhausen's counterexample shows...
- Patty (1971) "Review: Counterexamples in Topology", MR0266131 Kung, Joseph; Rota, Gian-Carlo (1979). "Review: Counterexamples in Topology". Advances...
- mathematics, a minimal counterexample is the smallest example which falsifies a claim, and a proof by minimal counterexample is a method of proof which...
- conjecture, or $50 for a counterexample; it is one of many conjectures of Erdős. If the conjecture is false, a counterexample would take the form of a...
- dogma" that democracies never start wars against other democracies from counterexamples by declaring any democracy which does indeed start a war against another...
- Witsenhausen's counterexample, shown in the figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by...
- law of the excluded middle. Brouwer also provided "weak" counterexamples. Such counterexamples do not disprove a statement, however; they only show that...
- the two iterated integrals have different values; see the section on counterexamples below for an example of this. Tonelli's theorem and the Fubini–Tonelli...
- 1954). Then in 1959 Masayoshi Nagata found a counterexample to Hilbert's conjecture. The counterexample of Nagata is a suitably constructed ring of invariants...
- + ?). With the fourth condition in place, Gettier counterexamples (and other similar counterexamples) will not work, and we will have an adequate set of...