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Page "Word problem for groups" ¶ 45
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However and u
However, the atomic mass in u of pure isotope atoms is quite close ( always within 1 %) to its simple mass number.
However, more commonly the atomic mass unit ( symbol u or Da ) is used.
However, the exact mass of hydrogen-1 ( the most common hydrogen isotope ) is 1. 00783, and the exact mass of oxygen-16 ( the most common oxygen isotope ) is 15. 9949, so the mass of the most common molecule of water is 18. 01056 u.
However, some technically sloppy sources still use the " amu " but now define it in the same way as u ( based on carbon-12 ).
However, modern sources often still use " amu " in place of " u " ( as a synonym ) and define " amu " in terms of carbon-12.
However, many write " Djehuty ", inserting the letter ' e ' automatically between consonants in Egyptian words, and writing ' w ' as ' u ', as a convention of convenience for English speakers, not the transliteration employed by Egyptologists.
However, if K and iK ' are kept on the real and imaginary axis, respectively, then the Jacobi elliptic functions pq u will be real functions when u is real.
However, not only the color of the model's body must be regarded, but rather the < u > entire </ u > model — including baseplate, interior, windows — and thus changes in different components can lead to a factorial increase in variation possibilities.
However, to be valuable, the condition must be < u > original </ u >; repainting or repairing a model reduces its value greatly, even if the final result can be very impressive.
" However, Fischer writes that " the ta ‘ u was originally a type of rongorongo inscription.
However, the release schedule abruptly stalled on 5 June 2008, when t. A. T. u.
However, the remainders of 1 / 7 repeat over six, or 7-1, digits: 1 / 7 = 0 ·< u > 1 </ u > 42857 < u > 1 </ u > 42857 < u > 1 </ u > 42857 ...
However, in highly inflected languages, a tradename may have to carry case endings in usage, for example in Finnish "< u > Microsoft </ u > in " ( genitive case ) and "< u > Facebook </ u > ista " ( elative case ).

However and =
However, it's not injective in both variables simultaneously, because ( for example ) f ( 2, 4 ) = f ( 1, 2 ).
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.
< cite id = disputedinjunction > The Vatican archives contain an unsigned copy of a more strongly worded formal injunction purporting to have been served on Galileo shortly after Bellarmine's admonition, ordering him " not to hold, teach, or defend " the condemned doctrine " in any way whatever, either orally or in writing ", and threatening him with imprisonment if he refused to obey .</ cite > However, whether this injunction was ever properly served on Galileo is a subject of much scholarly disagreement.
However, if A = DLOGTIME, then A < sup > SAT </ sup > may not equal A < sup > NP </ sup >.
However, early 1993 saw increasing tension between Yeltsin and the parliament over the | archivedate = 2008-03-05
However, at x = 0, the mass has momentum because of the impulse that the restoring force has imparted.
However the boat was so overladen that it sank, forcing the attack to be abandoned .< ref name = Piszkiewicz2003 >
However it is consistent with ZFC that a definable well-ordering of the reals exists — for example, it is consistent with ZFC that V = L, and it follows from ZFC + V = L that a particular formula well-orders the reals, or indeed any set.
However, the gyroradius ρ = mv / qB in those circumstances is also larger, so that the radial component of the magnetic field seen by the particle is also larger.
However, this standard atmosphere is defined slightly differently: temperature =, air density
However, satellite data show that cloud optical thickness actually increases with increasing temperature .< ref name = tselioudis-1992 > Whether the net effect is warming or cooling depends on details such as the type and altitude of the cloud ; details that are difficult to represent in climate models.
However, some argue that zombies are inconceivable: we can no more imagine a zombie than we can imagine that 1 + 1 = 3.
However, when he explains in detail what he means, it is clear that he actually believes that his assertion is always true ; for instance, he shows that the equation x < sup > 4 </ sup > = 4x − 3, although incomplete, has four solutions ( counting multiplicities ): 1 ( twice ), − 1 + i √< span style =" text-decoration: overline "> 2 </ span >, and1 − i √< span style =" text-decoration: overline "> 2 </ span >.
However, the " if " part of this hypothesis is false: for example,, but 341 = 11 × 31 is a pseudoprime.
However, Fischer was in excellent form, and won the title match convincingly (+ 7 − 3 = 11 ), with one of the three losses by default.
However, these ratios apply to two different conditions, namely, x = 0 and x '= 0 respectively.
However, in reference to women, historically, it was sometimes used to refer to an engaged woman — parthenos autou ( παρθένος αὐτού, his virgin ) = his fiancée as opposed to gunē autou ( γυνή αὐτού, his woman )
However, in metric geometry the geodesic considered is often equipped with natural parameterization, i. e. in the above identity v = 1 and
However, natural polyploidy exists, particularly in Jasminum sambac ( 2n = 39 ), Jasminum flexile ( 2n = 52 ), Jasminum primulinum ( 2n = 39 ), and Jasminum angustifolium ( 2n = 52 ).
However, also offered is Bece-laes * ( Old English = Meadow by Stream ).

However and v
However, the court later concluded, in R. v. Edwards Books and Art Ltd., ( 2 S. C. R.
However, by 1906, the English Court of Appeal had made it clear in the decision of Automatic Self-Cleansing Filter Syndicate Co v Cunningham 2 Ch 34 that the division of powers between the board and the shareholders in general meaning depended on the construction of the articles of association and that, where the powers of management were vested in the board, the general meeting could not interfere with their lawful exercise.
However, a more modern approach has since developed, and in Dorchester Finance Co Ltd v Stebbing BCLC 498 the court held that the rule in Equitable Fire related only to skill, and not to diligence.
However, more recent decisions, such as Weldon v. Missouri ( 1875 ), had curtailed the power of the states to tax or license out-of-state products or sales agents.
However, because of the Reid v. Covert decision, the U. S. adds a reservation to the text of every treaty that says, in effect, that the U. S. intends to abide by the treaty, but if the treaty is found to be in violation of the Constitution, then the U. S. legally can't abide by the treaty since the U. S. signature would be ultra vires.
However, a superior court always has the discretion to grant the writ even in the face of an alternative remedy ( see May v. Ferndale Institution ).
However, in the case of Griggs v. Duke Power Co. in 1971, for the purpose of minimizing employment practices that disparately impacted racial minorities, the U. S. Supreme Court banned the use of IQ tests in employment, except when linked to job performance via a Job analysis.
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, the complex pronunciation of the ' v ' in Kariva saw the Western constructors produce a sound much like a ' b ' hence the creation of the word Kariba.
However, the most important experiment supporting Fresnel's theory, was Fizeau's 1851 experimental confirmation of Fresnel's 1818 prediction that a medium with refractive index n moving with a velocity v would increase the speed of light traveling through the medium in the same direction as v from c / n to:
However, the Supreme Court significantly altered the voluntariness standard in the case of Colorado v. Connelly.
( However, pursuant to the majority opinion in United States v. Patane, physical evidence obtained as a result of pre-Miranda statements may still be admitted.
However, the ruling in R v Sullivan that diseases of the mind need have no permanence, led many academics to suggest that sleepwalkers might well be found to be suffering from a disease of the mind with internal causes unless there was clear evidence of an external causal factor.
However, if one considers the story historically accurate, happening in Jesus ' life apart from the similar incidents recorded in the other gospels, the question of the authenticity of the parable receives a different answer ... John Nolland, following Wilckens ' ideas, writes: ' There can hardly be a prior form of the episode not containing the present parable, since this would leave the Pharisee's concerns of v 39 with no adequate response '.
However, the privilege was not formally recognized by the U. S. Supreme Court until United States v. Reynolds ( 1953 ) where it was held to be a common law evidentiary privilege.
However, the Supreme Court recognized an important exception in Padilla v. Kentucky ( 2010 ), in which the Court held that defense counsel is obligated to inform defendants of the potential immigration consequences of a guilty plea.
However in 2001 in Kyllo v. United States ( 533 U. S. 27 ) it was decided that the use of thermal imaging devices that can reveal previously unknown information without a warrant does indeed constitute a violation of privacy.
However, in Locke v. Davey, 540 U. S. 712 ( 2004 ), the Court held that states could exclude majors in " devotional theology " from an otherwise generally available college scholarship.
However, in other sources such as the Book of Jubilees ( chapter 10 v. 18-27 ), Cornelius Alexander ( frag.
However, in McElmoyle v. Cohen,, the court heard a case where one party obtained a judgment in South Carolina and sought to enforce it in Georgia, which had a statute of limitations that barred actions on judgments after a certain amount of time had passed since the judgment was entered.
However, starting with Gitlow v. New York, the Supreme Court has applied the First Amendment to each state.
However, in Meese v. Keene,, the Court upheld the Foreign Agents Registration Act of 1938, under which several Canadian films were defined as " political propaganda ," requiring their sponsors to be identified.
However, in Hurley v. Irish-American Gay, Lesbian, and Bisexual Group of Boston,, the Court ruled that a group may exclude people from membership if their presence would affect the group's ability to advocate a particular point of view.
However, in Mapp v. Ohio,, the Supreme Court ruled that the Fourth Amendment applies to the states by way of the Due Process Clause of the Fourteenth Amendment.

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