Examples of using Counterexample in English and their translations into Portuguese
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As a counterexample, the real line is not a closed manifold because it is not compact.
Consider any conjecture that could be disproven via a counterexample among a countable number of cases e.g. Goldbach's conjecture.
For instance, an example of a first-countable space which is not second-countable is counterexample 3, the discrete topology on an uncountable set.
Suppose there is a counterexample; then there must exist one with the minimal possible number of interior nodes.
the number 5 is a counterexample here.
A counterexample near 1018 would require a prime gap fifty million times the size of the average gap.
Akemann& Weaver(2004) used◊ to construct a C*-algebra serving as a counterexample to Naimark's problem.
every finite prefix of a counterexample can be extended to an infinite path that satisfies the formula.
Donald Knuth states that the Petersen graph is"a remarkable configuration that serves as a counterexample to many optimistic predictions about what might be true for graphs in general.
For a published proof or counterexample, banker Andrew Beal initially offered a prize of US $5,000 in 1997,
Bitcoin is a counterexample to the theory showing that it must sometimes be wrong.
He showed that it was likely that the curve could link Fermat and Taniyama, since any counterexample to Fermat's Last Theorem would probably also imply that an elliptic curve existed that was not modular.
the proposition is false, with as counterexample; if the domain is the set of naturals,
The main objective of this thesis is to study a counterexample to the hilbert¿s fourteenth problem in dimension 5,
one either has to check all possible colourings to confirm the absence of a counterexample, or to present a mathematical argument for its absence.
using Freud as counterexample, Deleuze and Guattari do not seem to take into account,
which is a counterexample to the validity of the alleged proof of the four color theorem by Alfred Kempe.
absence of counterexample are discussed in light of scientific studies on children's memory and suggestibility.
odd may use the parity of zero as proof that every rule has a counterexample, or as an example of a trick question.
The counterexample of the conjecture was given by n. nadirashvili(1996), and it is also a counterexample to the conjecture of hadamard,