Whereas we say X is an H-set of Z if every cover of X with open sets of Z has a finite subfamily whose Z closure contains X.

Whereas the original problem may be stated in a finite dimensional space, it often happens that the sets to discriminate are not linearly separable in that space.

Whereas the US used a band occupying the range 26. 965 to 27. 405 MHz, the UK system was to operate on 27. 60125 to 27. 99125 MHz the awkward frequencies being deliberately chosen to prevent illegal US sets from being modified outside of the type approval system.

Whereas SQL retrieves data sets from a relational database ( RDBMS ), with dBase one can more easily manipulate, format, analyze and perform calculations on individual records, strings, numbers, and so on in a step-by-step imperative ( procedural ) way instead of trying to figure out how to use SQL's declarative operations.

* Lorwyn: Whereas most blocks consist of three sets, it was decided to turn the 2007 / 08 block into two mini blocks of two sets each.

Whereas set theory is founded on the membership relation between a set and its elements, mereology emphasizes the meronomic relation between entities, which from a set theoretic perspective is closer to that of inclusion between sets.

Whereas record linkage focuses on the more narrow task of identifying matching entities across different data sets, Linked Data focuses on the broader methods of structuring and publishing data to facilitate the discovery of related information.

The Spectator announced that " Whereas Mr Abraham Jordan, senior and junior, have, with their own hands, joinery excepted, made and erected a very large organ in St Magnus ' Church, at the foot of London Bridge, consisting of four sets of keys, one of which is adapted to the art of emitting sounds by swelling notes, which never was in any organ before ; this instrument will be publicly opened on Sunday next February 1712, the performance by Mr John Robinson.

Whereas photovoltaics can provide direct electrical current from sunlight, the inefficiency of fuel production from photovoltaic electricity ( indirect process ) and the fact sunshine is not constant throughout time sets a limit to its use.

Whereas other sets have all five colors of cards referencing the same story, Urza's Saga has each of the five colors showing a different part of the storyline.

Whereas a card like would be given " Summon Elf " in previous sets, it would now be given " Creature-Elf ".

Whereas the toy guns brought small prices originally, they now command significant prices for many models, with some of the most famous sets of holsters, guns and original boxes selling for high prices at auctions and toy gun shows.

Whereas traditional phrase structure rules incorporate dominance and precedence into a single rule, ID / LP maintains separate rule sets which need not be processed simultaneously.

Whereas in the binary search tree, we always add a leaf, in the red – black tree leaves contain no information, so instead we add a red interior node, with two black leaves, in place of an existing black leaf.

Whereas a tokamak would generally work to contain singly ionized deuterium or tritium with a mass of two or three daltons, the uranium vapour would be at most triply ionized with a mass of 235 dalton ( unit ).

Whereas answering machine or voice mail messages often have a generic greeting to leave a message, status messages more often contain a description of where the person is at the moment or what they are doing.

Whereas western poison oak urushiol contains chiefly catechols with C < sub > 17 </ sub > side-chains, poison ivy and poison sumac contain mostly catechols with C < sub > 15 </ sub > side-chains.

Whereas philately is concerned with the study of the stamps per se, including the technical aspects of stamp production and distribution, philatelic postal history refers to stamps as historical documents ; similarly re postmarks, postcards, envelopes and the letters they contain.

Whereas RPMs are precompiled binaries, ebuilds are shell scripts with variables and functions which contain a description of the software, and instructions on how to obtain, configure, compile, and install it, more closely akin to ( but more powerful than ) the. spec files distributed in SRPMs.

Whereas most haftarot of the yearly cycle are selections reflecting the theme of the day's Torah reading, these three — the " Three of Affliction " ( tlat de-pur ` anuta )— do not directly relate to the weekly Torah portions, but instead contain certain prophecies of Jeremiah and Isaiah foreshadowing the fall of Jerusalem.

According to film critic Grant Tracey, the film turns the role of the femme fatale on its head: " Whereas many noirs contain the tradition of the femme-fatale, the deadly spiderwoman who destroys her man and his family and career, The Big Heat inverts this narrative paradigm, making Ford Bannion the indirect agent of fatal destruction.

Whereas elements of the disclosure may be available from third parties, only that provided by the franchisor can be depended upon.

Whereas most of the isotopes of meitnerium can be synthesized directly this way, some heavier ones have only been observed as decay products of elements with higher atomic numbers.

Whereas most of the isotopes of rutherfordium can be synthesized directly this way, some heavier ones have only been observed as decay products of elements with higher atomic numbers.

Whereas the Soviets sought Amanullah's assistance in suppressing anti-Bolshevik elements in Central Asia in return for help against the British, the Afghans were more interested in regaining lands across the Amu Darya lost to Russia in the nineteenth century.

Whereas the groupware or collaborative software pertains to the technological elements of computer supported cooperative work, collaborative work systems become a useful analytical tool to understand the behavioral and organizational variables that are associated to the broader concept of CSCW.

Whereas salsa occasionally superimposes elements of another genre, or incorporates a non-salsa style in the bridge of a song, Cuban popular music since the 1970s has fully integrated North American jazz and funk to the point of true hybrid.

Whereas Social Statics had been the work of a radical democrat who believed in votes for women ( and even for children ) and in the nationalization of the land to break the power of the aristocracy, by the 1880s he had become a staunch opponent of female suffrage and made common cause with the landowners of the Liberty and Property Defence League against what they saw as the drift towards ' socialism ' of elements ( such as Sir William Harcourt ) within the administration of William Ewart Gladstone – largely against the opinions of Gladstone himself.

Whereas Inventor delivered easy-to-use objects and various UI elements to interact with them, Performer focused on a scene graph system that could be re-arranged on the fly for performance reasons, allowing the various passes of a rendering task to be performed in parallel in multiple threads.

Whereas the original series kept talk to a minimum, asking contestants only their name, occupation and specialist subject, at first the new run included some conversational elements with contestants between rounds, although these have been dropped in the 2011 series.

Whereas previous computer generations had focused on increasing the number of logic elements in a single CPU, the fifth generation, it was widely believed at the time, would instead turn to massive numbers of CPUs for added performance.

Whereas concrete poetry is still recognizable as poetry, being composed of purely typographic elements, visual poetry is generally much less text-dependent.

Whereas formalists manipulated elements within a medium, structuralists purposely mixed media and included context as an element of the artistic work.

Whereas neurofunk ( which also come from techstep ) relies on science fiction soundscape and really clean production, darkstep bring back elements of darkcore like horror movie soundtrack or vocal snippets, overdistorted techstep bassline and industrial soundscape.

Whereas the original was more of a mystery film, the remake focused more on the horror elements.

Whereas in the past, stylometry emphasized the rarest or most striking elements of a text, contemporary techniques can isolate identifying patterns even in common parts of speech.

Whereas wet sweepers are generally containing sound FX or otherwise known as Sonic, which is a global term for all sound effects and elements used in a sweeper.

Whereas the lower windows in the nave arcades and the ambulatory consist of one simple lancet per bay, the clerestory windows are each made up of a pair of lancets with a plate-traceried rose window above.

Whereas originally a barony might consist of two or more manors, by 1700 we see what were formerly single manors erected into baronies, counties or even marquisates.

Whereas Type 1 RIPs consist of a single enzymatic protein chain, Type 2 RIPs, also known as holotoxins, are heterodimeric glycoproteins.

Whereas the community of gorillas consist of one alpha male and two or three females, when the female gorillas are ready to mate, normally only the alpha male is their partner.