However, B's example of his uncle does not contradict A's statement, which says nothing about non-Republicans.

However, the opposite can also be true-An opponent can turn a positive statement into a bad one, if the speaker uses ambiguity ( intentionally or not ).

However, as 1 + ( k + 1 ) x + kx < sup > 2 </ sup > ≥ 1 + ( k + 1 ) x ( since kx < sup > 2 </ sup > ≥ 0 ), it follows that ( 1 + x )< sup > k + 1 </ sup > ≥ 1 + ( k + 1 ) x, which means the statement is true for r = k + 1 as required.

However, this statement for integers can be found already in the work of another French mathematician, Claude Gaspard Bachet de Méziriac ( 1581 – 1638 ).

However, Goukouni ’ s January 1981 statement that Chad and Libya had agreed to work for the realization of complete unity between the two countries generated intense international pressure and Goukouni's subsequent call for the complete withdrawal of external forces.

However, U. S. law permits " blended " whisky to contain up to 80 % un-aged grain neutral spirits ( with an age statement on the label that refers only to the " straight " part of the blend ), while Canadian law requires that all of the spirits in a Canadian whisky be aged for at least three years.

However, none of Justinian's surviving edicts dealing with Jewish matters is explicitly directed against the Jewish calendar, making the interpretation of Procopius's statement a complex matter.

However, " faith " in this verse is the start of a list of qualities displayed by the recipients of the letter, not a solitary statement about news of faith, full stop.

However, if one finds one single black swan, deductive logic admits the conclusion that the statement that all swans are white is false.

However, red hair is a known Spencer-family trait, and Hewitt stated to the press in 2002 that Harry had already been born by the time his affair with Diana began, a statement corroborated by Diana's police bodyguard.

" However, what Climacus means by the aforementioned statement, is that Hegel, in the Philosophy of Right, believed the best solution was to surrender one's individuality to the customs of the State, identifying right and wrong in view of the prevailing bourgeois morality.

For the Jews slew him, although he was a most just man .” However, this statement does not appear in the extant manuscripts of Josephus.

However, when Elliott asked him to sign a written statement, he hesitated and requested a delay in the interrogation.

" However, Epimenides ' statement that all Cretans are liars can be resolved as false, given that he knows of at least one other Cretan who does not lie.

However, both Superman and Conner Kent have called him out on the hypocrisy of this statement, noting that he has regularly turned down easy opportunities to willingly help others, simply because he would have sacrificed an opportunity to kill Superman by doing so.

However, the statement can be used to impeach the defendant's testimony.

However, on May 2, 1838, a few months before Smith's statement in Elders ' Journal, Smith began dictating a church history that included a detailed account of his visits from the angel.

However, the two statements must be so mutually incompatible that at least one must necessarily be false ; it is irrelevant whether the false statement can be specifically identified from among the two.

However, such fundamental truths of perjury law become muddled when discerning the materiality of a given statement and the way in which it was material to the given case.

However, this is not the stronger sense of completeness desired for Principia Mathematica, since a given system of axioms ( such as those of Principia Mathematica ) may have many models, in some of which a given statement is true and in others of which that statement is false, so that the statement is left undecided by the axioms.

However, it was not clear from the FARC statement what would happen to the civilians it still held in captivity.

However, if we know an object has only one reference ( as most do in many systems ), and that reference is lost at the same time that a similar new object is created ( as in the string append statement ), we can replace the operation with a mutation on the original object.

However, a more sophisticated analysis can be used to simplify the statement to:

However, expressing these properties as axioms requires use of second-order logic.

However, to go further requires new capacities that combine the clarity of intellectual thought with the imagination, and beyond this with consciously achieved inspiration and intuitive insights.

However travel through very remote areas, on isolated tracks, requires planning and a suitable, reliable vehicle ( usually a four-wheel drive ).

However the IRS now requires barter exchanges to be reported as per the Tax Equity and Fiscal Responsibility Act of 1982.

However the Bill of Rights of 1689 requires Parliamentary consent for the Crown to maintain a standing army in peacetime.

However, the discrete and separate nature of the molecular concept usually requires that molecular ions be present only in well-separated form, such as a directed beam in a vacuum in a mass spectrograph.

However, its practical limitations — it requires the sun to shine and does not work at all during the night — encouraged the use of other techniques for measuring time.

However, firing a pistol effectively at any significant range requires good training, since the absence of a buttstock makes precise ranged aim difficult.

However, this tends to be complicated by the fact that this requires finding the roots of a high degree polynomial, and there can be multiple roots that represent local maxima.

However a high index of suspicion is appropriate, since diarrhea and bloating are also symptoms of typhlitis, a very serious and potentially life-threatening medical emergency which requires immediate treatment.

However, attempts made in closed-door sessions at the Fourth Plenary Session of the 17th Communist Party of China's Central Committee in September 2009 to grapple with these problems produced inconclusive results, although a directive which requires disclosure of investments and property holdings by party and governmental officials was passed.

However, existing law requires judicial approval of all class action settlements, and in most cases class members are given a chance to opt out of class settlement, though class members, despite opt-out notices, may be unaware of their right to opt out because they did not receive the notice, did not read it, or did not understand it.

However, often, the required output signal is another analog output signal, which requires a digital-to-analog converter ( DAC ).

However this behaviour is application-specific, and requires that the application maintains a catalog of known URNs to resolve them into the notations that have been parsed in a standard SGML or XML parser.

However, DSN tracking requires many skilled operators, and the DSN is overburdened by its use as a communications network.

However, technology transfer requires knowledgeable managers and engineers who are able to operate new machines or production practices borrowed from the leader in order to close the gap through imitation.

However, electrolysis requires an external source of electrical energy to induce a chemical reaction, and this process takes place in a compartment called an electrolytic cell.

However, the church asserts that Apostolic Succession also requires Apostolic Faith, and bishops without Apostolic Faith, who are in heresy, forfeit their claim to Apostolic Succession.

However, technology maturity requires a further understanding of the technology itself.

However, if the decomposition into given above is possible, then requires storing 4 values, requires storing values, and again requires storing just 4 values.

However, due to lack of intermediate elements, this process requires three helium nuclei striking each other nearly simultaneously ( see triple alpha process ).

However, the inquest should set out as many of the facts as the public interest requires.