However, construction is canceled five days later, resulting in the Revolt of the Admirals.

However, the exact placement of the linkage can vary and the orientation of the linking functional groups is also important, resulting in α-and β-glycosidic bonds with numbering definitive of the linking carbons ' location in the ring.

However the resulting braille is not as easily readable as braille that has been freshly embossed, in much the same way that a poor-quality photocopy is not as readable as the original.

However, they were eventually put down on 4 June when PLA troops and vehicles entered and forcibly cleared the square, resulting in numerous casualties.

However, there is also a ditheistic theme within traditional Wicca, as the Horned God has dual aspects of bright and dark-relating to day / night, summer / winter-expressed as the Oak King and the Holly King, who in Wiccan myth and ritual are said to engage in battle twice a year for the hand of the Goddess, resulting in the changing seasons.

However, many of his ideas were discarded during development in favor of simpler design primarily advocated by John Carmack, resulting in Hall in the end being forced to resign due to not contributing effectively in the direction the rest of the team was going.

" However, the intended application and context of the resulting works will vary greatly.

However, opponents of " late extinction " theories have interpreted such late dates based on indirect dating methods as artifacts resulting from redeposition of skeletal material into more recent strata, and recent direct dating results obtained with new technologies have tended to confirm this interpretation.

However, construction remained focused on putting the biggest possible engines into a small hull, resulting in a somewhat flimsy construction.

However, new studies focus on adenoviruses that can be permitted to reproduce, and destroy cancerous cells in the process, since the adenoviruses ' ability to infect normal cells is substantially impaired, potentially resulting in a far more effective treatment.

However, fame was still eluding him, and partly out of desperation, Coppola bought the rights to the David Benedictus novel You're a Big Boy Now and fused it with a story idea of his own, resulting in You're a Big Boy Now ( 1966 ).

However, this work has been subject to much criticism by quantum chemists as it was concluded that the predicted I < sub > h </ sub > symmetric structure was vibrationally unstable and the resulting cage undergoes a spontaneous symmetry break, yielding a puckered cage with rare T < sub > h </ sub > symmetry ( symmetry of a volleyball ).

However, this effect is very weak, because the magnetic fields generated by individual spins are small and the resulting alignment is easily destroyed by thermal fluctuations.

However, some magistrates – and some later Emperors – tacitly or openly condoned such transgressions and some volunteers were prepared to embrace the resulting loss of status.

However, the resulting economic integration and military co-operation between the English and Dutch Navies shifted the dominance in world trade from the Dutch Republic to England and later to Great Britain.

However the Eastern Question and the resulting Crimean War proved to be the downfall of his government.

However, the southern provinces ( present day Belgium ) remained under Habsburg rule, Holland benefiting greatly from the resulting eclipse of Flemish cities and massive influx of refugees.

However, some of the compromises resulting from the adoption of a design intended for another market hampered the car's acceptance.

However the growth of the number of cars increasingly outpaces the construction of new roads, resulting in frequently crippling traffic jams in large parts in major cities especially in Jakarta, which often also happen on highways.

However, the Jamaican dollar has been slipping, despite intervention, resulting in an average exchange rate of J $ 73. 40 per US $ 1. 00 and J136. 2 per € 1. 00 ( February 2011 ).

However, the red kryptonite and resulting powerlessness turned out to be a magical illusion created by Mister Mxyzptlk, with Superman's powers being restored once he learned of Mxyzptlk's involvement in accordance with the imp's usual restrictions.

However, the Agent Orange Larfleeze wants Luthor's ring off, as the alien does not want to share his power with him, resulting in them battling each other for it despite all of the dangers around them.

However, when both electricity and magnetism are taken into account, the resulting theory ( electromagnetism ) is fully consistent with special relativity.

However, as soon as charge carriers are introduced by doping the crystal with a suitable impurity, the resulting charge carriers are as mobile as in a metal, though far fewer in number.

However, there is an increasing American influence the farther one is away from Mexico, resulting in variations such as Tex-Mex cuisine.

However, an algebraic function of several variables may yield an algebraic number when applied to transcendental numbers if these numbers are not algebraically independent.

However, most modern algebraic geometry texts starting with Alexander Grothendieck's foundational EGA use the convention in this article .< ref > A notable exception to modern algebraic geometry texts following the conventions of this article is Commutative algebra with a view toward algebraic geometry / David Eisenbud ( 1995 ), which uses " h < sub > A </ sub >" to mean the covariant hom-functor.

However, in the case of algebraic curves it is very common not to restrict the curve to having points only defined over the real numbers.

However, if R is the ring of algebraic integers in an algebraic number field, or more generally a Dedekind domain, the multiplication defined above turns the set of fractional ideal classes into an abelian group, the ideal class group of R. The group property of existence of inverse elements follows easily from the fact that, in a Dedekind domain, every non-zero ideal ( except R ) is a product of prime ideals.

However, principal constructions of such more detailed theories for small algebraic number fields are not extendable to the general case of algebraic number fields, and different conceptual principles are in use in the general class field theory.

If the base field F is the field R of real numbers, then x < sup > 2 </ sup > + y < sup > 2 </ sup > = − 1 defines an algebraic extension field of R ( x ), but the corresponding curve considered as a locus has no points in R. However, it does have points defined over the algebraic closure C of R.

However, the user also has the option of typing in moves in algebraic notation, ideal for laptop users with only the built in touchpad as their mouse.

However, in contrast to the situation common for isomorphisms in an algebraic setting, the composition of the functor and its " inverse " is not necessarily the identity mapping.

However, a purely algebraic theory was first developed by, with Armand Borel as one of its pioneers.

However, for univariate algebraic equations, the number of solutions is finite and all solutions, are contained in any algebraically closed field containing the coefficients, for example, the field of complex numbers in case of equations over the rationals.

and e would therefore be algebraic of degree p. However e is transcendental, so Ω must be irrational.

: However, the definition of a correspondence in algebraic geometry is not completely standard.

However, the converse is true if X and Y contain only algebraic numbers and their size is at least 2 × 2.

However it can also be used to suggest particular test-statistics that might be of interest or to suggest simplified tests — for this one considers algebraic manipulation of the ratio to see if there are key statistics in it related to the size of the ratio ( i. e. whether a large statistic corresponds to a small ratio or to a large one ).

However, the Garden of Eden theorem can be generalized beyond Euclidean spaces, to cellular automata defined on the elements of an amenable group or a sofic group ; the proof of this generalization uses the Ax – Grothendieck theorem, an analogous relation between injectivity and bijectivity in algebraic geometry.

However, the algebraic properties of this structure are somewhat different from those of classical propositional logic in that the principle of distributivity fails.

However, under certain conditions algebraic solutions can be obtained ; for example, the equation can be solved as

However, the word fraction is also used to describe mathematical expressions that are not rational numbers, for example algebraic fractions ( quotients of algebraic expressions ), and expressions that contain irrational numbers, such as √ 2 / 2 ( see square root of 2 ) and π / 4 ( see proof that π is irrational ).