However, ZF plus GCH implies AC, making GCH a strictly stronger claim than AC, even though they are both independent of ZF.

However, the term dialect always implies a relation between languages: if language X is called a dialect, this implies that the speaker considers X a dialect of some other language Y, which then usually is some standard language.

However, while bitheism implies harmony, ditheism implies rivalry and opposition, such as between good and evil, or bright and dark, or summer and winter.

However, the term " farrier " implies a professional horseshoer with skill, education, and training.

However, this expression implies the ability to identify the particle with n < sub > 1 </ sub > as " particle 1 " and the particle with n < sub > 2 </ sub > as " particle 2 ".

However, James ' successor as leader of the Jerusalem church, Simeon, is not, in tradition, appointed till after the siege of Jerusalem in AD 70, and Eusebius ' notice of Simeon implies a date for the death of James immediately before the siege, i. e. about AD 69.

However, the law of the excluded middle is retained, because P and not-P implies P or not-P, since " or " is inclusive.

However, as Plutarch implies, since naval power relied on the mass mobilisation of the common citizens ( thetes ) as rowers, such a policy put more power into the hands of average Athenians — and thus into Themistocles's own hands.

However, the disadvantage this implies in relation to their contestant parties ( which denote permanent labor and a disciplined and organic structure ), impels them to modify their organization to become mass-based parties.

However, in order to reproduce the next stage of the argument, which eliminates the penultimate day of the week, the prisoner must argue that his ability to deduce, from statement ( A ), that the hanging will not occur on the last day, implies that a last-day hanging would not be surprising.

) However, since processor support for any SSE revision also implies support for MMX, the removal does not limit the types of data types usable by x86 SIMD.

However, this visible difference is merely a consequence of a deeper distinction: a DCT implies different boundary conditions than the DFT or other related transforms.

However, this term is also objectionable to some because it still implies that there is an issue, which they feel is created only by the PRC.

However, he implies later that he was lying about at least some of this information to mislead the Sontarans.

However, if the errors are not normally distributed, a central limit theorem often nonetheless implies that the parameter estimates will be approximately normally distributed so long as the sample is reasonably large.

However, Willard's actions in checking the wraps of his opponent, not a normal procedure, implies he was concerned about foul play, Willard later claimed to have been defeated by gangsterism.

However, in a technical sense, the term " city manager ," as opposed to CAO, implies more discretion and independent authority that is set forth in a charter or some other body of codified law, as opposed to duties being assigned on a varying basis by a single superior such as a mayor.

However, Aristotle implies that a body is no longer the same body after death.

However, the information gleaned from recent scans of the fragments indicate that it may have come from the colonies of Corinth in Sicily and implies a connection with Archimedes.

However, this visible difference is merely a consequence of a deeper distinction: a DST implies different boundary conditions than the DFT or other related transforms.

However, if the value assigned to E < sub > ea </ sub > is negative, the negative sign implies a reversal of direction, and energy is required to attach an electron.

However, the majority of classical rabbis believed that the biblical phrase hallow the fiftieth year, together with the biblical promise that there would be three years worth of fruit in the sixth year, implies that the jubilee year was the 50th year.

However, the conversion from mass to size is unreliable, since many photographic meteors give evidence of a fluffy, loosely bound meteorite structure with densities as low as Af.

However, tyrannosaurid forelimbs were extremely small for their body size and retained only two digits.

However, sometimes they were used in larger units up to squadron size.

However, if clusters are selected with probability proportionate to size, the same number of interviews should be carried out in each sampled cluster so that each unit sampled has the same probability of selection.

However, this assembly cannot collapse to a size dictated by the volumes of these individual particles.

However, molecules that are larger than the average pore size of the packing are excluded and thus suffer essentially no retention ; such species are the first to be eluted.

However, the general definition of a file does not require that its instant size has any real meaning, unless the data within the file happens to correspond to data within a pool of persistent storage.

However, CPRF is generally seen ( because of its large size ) as the inheritor of the CPSU in Russia.

However, the actual size and depth of each lens is dependent on the width and shape of the island at that point, the permeability of the aquifer, and the equilibrium between recharging rainfall and losses to evaporation to the atmosphere, transpiration by plants, tidal advection, and human use.

However, both the small and large diprotodonts coexisted throughout the Pleistocene and the size difference is similar to other sexually dimorphic living marsupials.

However a change in parameters like frame size as well as a change of the digital format can decrease the quality of the video due to new calculations that have to be made.

However, because the SEM image relies on surface processes rather than transmission, it is able to image bulk samples up to many centimetres in size and ( depending on instrument design and settings ) has a great depth of field, and so can produce images that are good representations of the three-dimensional shape of the sample.

However, the differences between the structure of human brains and those of other apes may be even more significant than differences in size.

However, since jars were introduced, an applet is usually delivered as a single file that has a size of the bigger image ( hundreds of kilobytes to several megabytes ).

However, at this high point, his army was reduced in size, as MacColla and the Highlanders preferred to continue the war in the north against the Campbells.

However, doubts have been cast that any existing whale or fish would be either capable and / or inclined to repeat the feat described, either due to size of mouth, narrowness of throat, or because it diverges so wildly from these animals ' normal eating habits.

However, al-Kamil presumably did not know of the small size of Frederick's army, nor the divisions within it caused by his excommunication, and wished to avoid defending his territories against another crusade.

However, recent research suggests that the large size of Komodo dragons may be better understood as representative of a relict population of very large varanid lizards that once lived across Indonesia and Australia, most of which, along with other megafauna, died out after the Pleistocene.

However, analyses of the size of the photograph have been inconsistent.

However, its size was not known at that time.

However, in general these will have the same size as the original, and are not a form of compression.

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, no actual compression took place, and the information stored in the names of the files was necessary in order to reassemble them in the correct order into the original file, and this information was not taken into account in the file size comparison.

However, for hotter blue and white stars, the size and brightness difference between so-called dwarf stars that are on the main sequence and the so-called giant stars that are not becomes smaller ; for the hottest stars it is not directly observable.

However, the sheer number of calculations required was too large to be completed without the use of computers, and the size of the grid and time steps led to unrealistic results in deepening systems.