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 ".

for " any " subset A of R. However, suppose that A is a non-measurable subset of the real line, such as the Vitali set.

However, when they were first uncovered, it led some historians to suppose that these were warriors slain it battle.

However, if we suppose n is not Richardian, then it does have the defining property which it corresponds to.

However, there is no strict evidence about this, and some scholars suppose that Sallust haven't been a quaestor — the practice of violating cursus honorum was common in the last years of the Republic ..

However this is not to suppose that all of these proto-languages actually arose during the period of the Corded Ware horizon, across its whole territory, or exclusively within its confines.

") However, the reference to cookie baking more likely comes from an unrelated remark by Hillary Clinton: " I suppose I could have stayed home and baked cookies and had teas, but what I decided to do was to fulfill my profession which I entered before my husband was in public life.

However, some scholars suppose that Dzydzilelya was a West Slavic analogue of Bulgarian Dodola, presumably the goddess of rain and fertility.

However, suppose she knew ( with 100 % certainty ) the big blind held < font color = red > 8 ♦ 7 ♦</ font >.

However, suppose she did not know the word.

However, suppose there existed two complex scalars ( taken to be spin 0 ) such that:

However, suppose that the first game is played at blue's venue and the visiting red team wins.

However, by placing class analysis at the center of political analysis, Poulantzas reminds us that theorists are political agents themselves and that accounts of the political world are suffused with the ambient ideology that they suppose themselves to bracket.

However, the traditions of a parliamentary republic suppose that the President organizes respective consultations with the parliamentary fractions and proposes only such a candidate that will be able to secure the support of Riigikogu, for all of those officers must pass through an approval vote in the parliament before they can assume their office ;

However, suppose you offer George $ 100 for his piano.

However, in certain applications where discs will not be distributed or exchanged outside a private group and will not be archived for a long time, a proprietary format may be an acceptable way to obtain greater capacity ( up to 1. 2 GB with GigaRec or 1. 8 GB with HD-BURN on 99 minute media ).

However, booting CP / M was only supported from disks in the standard Commodore GCR format ; the MFM formats could only be used once the system was running.

However, the allowed formulation of domain names in the DNS root zone, and most other sub domains, uses a preferred format and character set.

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 the format has appeared to have died off.

However, punk rock bands in the movement's second wave and afterward have often broken from this format.

However, the grit wheel mechanism is still found in inkjet-based, large format engineering plotters.

However, even as the cost of producing CDs fell below that of records, CDs would remain a higher priced music format than cassettes or records.

However, the growing trend ( or paradigm shift ) towards character-centered drama and naturalistic plots and settings has replaced the episodic action-adventure format that was once standard for television science fiction.

However, many web applications in development are addressing this issue by creating a machine-readable format upon the publishing of data or the request of a machine for such data.

However, once a file is converted from the vector format, it is likely to be bigger, and it loses the advantage of scalability without loss of resolution.

However, X4 does not include support for editing PDF's containing images in JPEG2000 format, a format used by Adobe Acrobat 9.

However, WCBS-FM had since returned to its oldies format on July 12, 2007, with Taylor reassuming his role again as the morning disc jockey the following day.

However, in an independent double-blind test ( 2004 / 05 ) without format encoding parameters reference against Ogg Vorbis, AAC, and LAME VBR MP3, ATRAC3 came last.

However, because the format was defined by a DTD, it did have to be named as such.

This followed the style established by Veseler's earlier Dutch paper Courante uyt Italien, Duytslandt, & c. However, when the English started printing their own papers in London, they reverted to the pamphlet format used by contemporary books.

However, though the Lutherans follow the same format of the Rosary as the Roman Catholics, each " Hail Mary " is replaced with the " Jesus Prayer ".

However, some upper-level riders claim to prefer the short format, as they believe it saves wear-and-tear on their horses and allows the horse not only to compete in more three-day events each season, but decreases the chance of injury to the horse.

However, this claim has not held true in several recent studies that compared injuries sustained in classic and in short format competitions over equivalent courses.

However, the basic ACF format is more or less standard for non-NAQT or PACE format tournaments in the US.

However the most common format of SLRs has been 35 mm and subsequently the migration to digital SLRs, using almost identical sized bodies and sometimes using the same lens systems.

However, it is important to distinguish the XML format from the abstract RDF model itself.

However, Toyota employees complained about the difficulty in getting smaller orders of large format NiMH batteries to service the existing 825 RAV-4EVs.

However, single words or a short string of words can sometimes be registered as a trademark instead.

However the mechanical strength of the unit is unchanged, so the insulator string will stay together.

However, the flashover voltage of a string is less than the sum of its component discs, because the electric field is not distributed evenly across the string but is strongest at the disc nearest to the conductor, which will flash over first.

However, since string theory also describes gravitational interactions, one expects the low-energy theory to describe particles moving in gravitational backgrounds.

However, when a string of letters is done with the same hand, the chances of stuttering are increased and a rhythm can be broken, thus decreasing speed and increasing errors and fatigue.

However, if too many individuals or corporations focus on saving or paying down debt rather than spending, lower interest rates have less effect on investment and consumption behavior ; the lower interest rates are like " pushing on a string.

However, it took him a month to surpass Carlton, as he had low run support in a string of five starts that produced one loss and four no-decisions.

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, in Hawaiian music, Hawaiian guitar means slack string guitar, played in the conventional or Spanish position.

However, the term SMILES is also commonly used to refer to both a single SMILES string and a number of SMILES strings ; the exact meaning is usually apparent from the context.

However, this notion is problematic for a standing wave ( for example, a wave on a string ), where energy is moving in both directions equally, or for electromagnetic ( e. g., light ) waves in a vacuum, where the concept of medium does not apply and interaction with a target is the key to wave detection and practical applications.

However, if a vibrating string is examined, it will be seen that the string does not vibrate flush to the bridge and nut, but has a small “ dead length ” of string at each end.

However long a randomly generated finite string is, there is a small but nonzero chance that it will turn out to consist of the same character repeated throughout ; this chance approaches zero as the string's length approaches infinity.

However, as the previous 30 years since the approval of icon-veneration at the Synod of 787 had represented for the Byzantines a string of military catastrophes, Leo resolved to reach back to the policies of the more successful Isaurian dynasty.

However, the object as we defined it being the two rods and string is not in the same state as before, the strings are entangled and cannot be unentangled without applying again a rotation in any part of the system.

" However, both Haddon and Rivers were to use the string trick to scientific ends and they are also credited as inventing a system of nomenclature that enabled them to be able to schematise the steps required and teach a variety of string tricks to European audiences.

However, the customers data table should not use one field to store that concatenated string ; rather, the concatenation of the 7 fields should happen upon running the report.

However, horror remained Karloff's primary genre, and he gave a string of lauded performances in 1930s Universal horror films, including several with Lugosi, his main rival as heir to Lon Chaney, Sr .' s status as the top horror film star.

However, we can encode the action table of any Turing machine in a string.

However, the sounding of these notes in the arpeggio may be accomplished through any number of techniques, including a change in pick articulation ; double-picking notes ( which would then mean an additional upstroke or downstroke ); legato ; or in some instances sliding, though the latter is rarely enforced due to the acute control necessary to slide to a precise point on the string.