However, there have been many wild claims of ancient mid eastern ancestry ( including Assyrian ) throughout Europe, Africa and even the Americas, none of which have been supported by mainstream opinion or strong evidence, let alone proof.

However, others point to the Council of Nicaea as proof in and of itself that Arianism was a real theological ideology.

However, in January 2011, the Spanish government denied a request by the U. S. ambassador to return the painting to the Cassirer family in California, which claims with proof that it was among those illegally taken by Nazis in Germany.

However, centuries of efforts failed to find a solution to this problem, until Pierre Wantzel published a proof in 1837 that such a construction was impossible.

However, the unavoidability part of the proof was verified in over 400 pages of microfiche, which had to be checked by hand.

However, this idea can be understood as a basis for the following proof of the Lemma.

However, the Templar dies " a victim to the violence of his own contending passions ," which is pronounced by the Grand Master as the judgment of God and proof of Rebecca's innocence.

However, there is a body of case law governing the civil commitment of individuals under the Fourteenth Amendment through U. S. Supreme Court rulings beginning with Addington v. Texas in 1979 which set the bar for involuntary commitment for treatment by raising the burden of proof required to commit persons from the usual civil burden of proof of " preponderance of the evidence " to the higher standard of " clear and convincing " evidence.

However, in both cases the experimental proof was neither complete nor conclusive.

However, empirical proof and the universal acceptance of the existence of atoms didn ’ t occur until the early 20th century.

However, they contend that the New Testament offers no proof that Jesus established the papacy nor even that he established Peter as the first bishop of Rome.

However, significant additional costs can be incurred by individuals to acquire a " free " ID, as they need to provide other proof of identity.

However, if the driver is detected and cited by police for exceeding the limit, the onus of proof is on the driver to show that the speed at which the driver was travelling was safe under the circumstances.

However, analysis of thousands of high-quality games ( most of them computer-generated ) appears to lead to a reliable conclusion ( pending actual proof if true ) that, on the standard 8-by-8 board, perfect play on both sides results in a draw.

However, Urd states that losing control of a low level spell is proof of the depths of her true power.

However, lemmas are sometimes embedded in the proof of a theorem, either with nested proofs, or with their proofs presented after the proof of the theorem.

However, there is a proof reducing its security to the computational difficulty of the Quadratic residuosity problem.

However, jazz historian, musician, and composer Gunther Schuller writes about Morton's " hyperbolic assertions " that there is " no proof to the contrary " and that Morton's " considerable accomplishments in themselves provide reasonable substantiation ".

However, the result only holds under the restrictive assumptions necessary for the proof ( markets exist for all possible goods so there are no externalities, all markets are in full equilibrium, markets are perfectly competitive, transaction costs are negligible, and market participants have perfect information ).

However, such de jure legal provisions are by no means a proof that, de facto, the signatory country does not use torture.

However, this comes at a cost: because the keystream is now pseudorandom, and not truly random, the proof of security associated with the one-time pad no longer holds: it is quite possible for a stream cipher to be completely insecure.

However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof.

However, no definitive proof of such use has emerged.

However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.

However, by Wedderburn's little theorem all finite division rings are commutative and therefore finite fields.

However, the majority are solved via ad hoc methods such as Størmer's theorem or even trial and error.

However, Bell's theorem does not apply to all possible philosophically realist theories.

) However, the fundamental theorem of arithmetic gives no insight into how to obtain an integer's prime factorization ; it only guarantees its existence.

However, even though it cannot be determined whether a particular file is incompressible, a simple theorem about incompressible strings shows that over 99 % of files of any given length cannot be compressed by more than one byte ( including the size of the decompressor ).

However, the one monopoly profit theorem is not true if customers in the monopoly good are stranded or poorly informed, or if the tied good has high fixed costs.

( However, it was subsequently discovered that the theorem breaks down somewhat for stars of non-uniform composition.

However, in certain axiom systems for constructive set theory, the axiom of choice does imply the law of the excluded middle ( in the presence of other axioms ), as shown by the Diaconescu-Goodman-Myhill theorem.

However a result known as the Sonnenschein-Mantel-Debreu theorem suggests that the assumptions that must be made to ensure that the equilibrium is stable and unique are quite restrictive.

However, recent developments attempt to show that if locality is only approximate and the holographic principle is correct, the Weinberg – Witten theorem would not be valid.

However, results such as the fundamental theorem of algebra are simpler when expressed in terms of complex numbers.

However, it is standard practice to assume that the sample mean from a random sample is normal, because of the central-limit theorem.

However, the virial theorem does not depend on the notion of temperature and holds even for systems that are not in thermal equilibrium.

However, the sampling theorem can be extended in a straightforward way to functions of arbitrarily many variables.

However, a measurable function is nearly a continuous function ; see Luzin's theorem.

However, if the random variable has an infinite but countable probability space ( i. e. corresponding to a die with infinite many faces ) the 1965 paper demonstrates that for a dense subset of priors the Bernstein-von Mises theorem is not applicable.

However, it was Pierre-Simon Laplace ( 1749 – 1827 ) who introduced a general version of the theorem and used it to approach problems in celestial mechanics, medical statistics, reliability, and jurisprudence.

However, its importance derives mainly from the multivariate central limit theorem.

However, the choice of dimensionless parameters is not unique: Buckingham's theorem only provides a way of generating sets of dimensionless parameters, and will not choose the most ' physically meaningful '.

However, the choice of dimensionless parameters is not unique: Buckingham's theorem only provides a way of generating sets of dimensionless parameters, and will not choose the most ' physically meaningful '.

However, Fred Richman proved a reformulated version of the theorem that does work .< ref > See Fred Richman ; 1998 ; < cite > The fundamental theorem of algebra: a constructive development without choice </ cite >; available from .</ ref >