However, some formulas are used more than others.

However, invalid formulas ( those that are not entailed by a given theory ), cannot always be recognized.

However, due to concerns over the previous Cuban leader Fulgencio Batista the company had started foreign branches a few years prior to the revolution ; the Company moved the ownership of the Company's trademarks, assets and proprietary formulas out of the country to the Bahamas prior to the revolution as well as constructing plants in Puerto Rico and Mexico after the prohibition era to save in import taxes for rum being imported to the US.

However, chemical bonding of many types of elements results in crystalline solids and metallic alloys for which exact chemical formulas do not exist.

However, most real numbers are not definable: the set of all definable numbers is countably infinite ( because the set of all logical formulas is ) while the set of real numbers is uncountably infinite ( see Cantor's diagonal argument ).

However, suppose that for every formula φ there is some formula ψ taken from a more restricted class of formulas C, such that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable ".

However, the drawback is that it is memory intensive and it is therefore sometimes not used over Machin-like formulas.

However with the help of the correct atomic weights for copper and oxygen ( which Dalton did not know ), it is determined that the formulas of these two oxides are Cu < sub > 2 </ sub > O and CuO.

However, because ZFC only speaks of sets, not proper classes, the schema is stated only for definable bijections, which are identified with their defining formulas.

However, efforts to achieve primary health care reform have increasingly encouraged physicians to work in multidisciplinary teams, and be paid through blended funding models, including elements of capitation and other ' alternative funding formulas '.

However, the following formulas are NOT in DNF:

However, for graphing by hand these formulas are unwieldy ; instead, it is common to use graph paper designed specifically for the task.

However, the expression well-formed formulas can still be found in various works, these authors using the name well-formed formula without necessarily opposing it to the old sense of formula as arbitrary string of symbols so that it is no longer common in mathematical logic to refer to arbitrary strings of symbols in the old sense of formulas.

However, the addition of alcohol or solvents to quat-based disinfectant formulas results in the products ' drying much more quickly on the applied surface, which could lead to ineffective or incomplete disinfection.

However, more practical formulas can be evaluated based on their relationship to the true cost of living index.

However, the precise formulas which govern these effects, according to Brans – Dicke theory, depend upon the value of the coupling constant.

However, those formulas depend on those distributions ' parameters, which depend in turn on the expectations about other variables.

However, in some texts ⇔ is used as a symbol in logic formulas, while ≡ is for reasoning about those formulas ( as in metalogic ).

However, in an effort to qualify for future awards of Federal funds for miles of route that had now been canceled, the SCRTD quickly started over ( the FTA requires formulas and studies before it approves funds, and then only for the precise route submitted ) and proposed that one leg of the subway would deviate from the Western Ave. bound tunnel and turn north on Vermont, west on Sunset, then north to the San Fernando Valley, thus avoiding Rep. Waxman's " no subway " zone.

However, to complete King's Quest III, the player needs to create a number of magic spells through alchemical formulas that are only available in the game's manual.

However, several different formulas have been proposed to replicate the traditional product for those who prefer to make their own:

However, they are interesting in the context of logics such as two-variable logic with counting that restrict the number of variables in formulas.

However, in recent decades, for what doubtless are multiple reasons, an unannounced but nonetheless readily observable shift has occurred in both facets of national activity.

However, in the context of legal and civic policy, these controversies are less than novel.

However, despite the insight of many of his observations, his own conclusions are open to suspicion because of his failure to employ at all times the correct research methods.

However, there are still several types of calls that necessitate the use of telephone operators.

However, he states unequivocally `` the scandals in business are far less significant than the scandals in labor ''.

However, few are taxed, and the owners and location of most boats are unknown to the assessors on the date of assessment of town valuations.

However, the surface temperature gradient can produce erroneous vapor-pressure measurements for the bulk liquid helium unless precautions are taken to isolate the tube ( which passes through the surface to the vapor pressure bulb ) from the liquid helium surface.

However, if their United States income is not subject to the withholding of tax on wages, their returns are due June 15, 1962, if they use a calendar year, or the 15th day of the 6th month after the close of their fiscal year.

However, the aircraft which we have today are tied to large, `` soft '' airfields.

However, there is also much to be gained by making use of the abilities of the local people who are available and interested in recreation.

However, there are photographs of suspended drops of cyclohexanol phthalate ( viscosity 155 poises ) suspended in corn syrup of 71 poises in a paper by Mason and Bartok.

However, any oxygen nonequivalence would shorten either the already extremely short Af interlayer distance of 2.55 A or the non-hydrogen-bonded Af interlayer interactions which are already quite short at 2.58 Aj.

However, as so many of the records are not certainly based on newborn snakes, these data must be taken tentatively ; ;

However, if these procedures are applied more often, conditioned emotional responses are temporarily abolished.

However, it cannot be presumed, informal though the structure of the population seems, that there are not well-defined roles within the system.

However, the differences in procedure are fundamental.

However, the regionally differentiated results, which appear below in tables, are interesting evidence of the problems of developing self-government under even the most favorable circumstances.

However, if Federal funds are used, it would be entirely appropriate to train workers for jobs which could be obtained elsewhere as well as for jobs in the area of chronic unemployment.

However, it is not known to either the union or the public precisely how much of a cost increase is caused by a given change in the basic wage rate, although the companies are presumed to have reliable estimates of this magnitude.

However, there are relatively few such political constituencies, and, as has been pointed out, there is seldom a clear-cut distinction between the educational interests of one social class and those of another.

However, modesty and triviality are different qualities.

`` However, evidence that the Axis powers are making significant preparations indicative of such an intention is being reported with increasing frequency from a variety of sources.