Whereas other game engines would have to modify the shape of the altered object to create a similar effect, GeoMod creates special objects which represent empty space.

Whereas the other ends of the pattern finish in a flat line parallel with the vertical framing line, part of a shape like an incomplete D, the top left finishes in two ellipses pointing into the corners.

Whereas optimization methods are nearly as old as calculus, dating back to Isaac Newton, Leonhard Euler, Daniel Bernoulli, and Joseph Louis Lagrange, who used them to solve problems such as the shape of the catenary curve, numerical optimization reached prominence in the digital age.

Whereas buckyballs are spherical in shape, a nanotube is cylindrical, with at least one end typically capped with a hemisphere of the buckyball structure.

Whereas a glyph was a specific graphic shape from a particular font, whether the shape represented a single character or a set of characters.

" Whereas Newton observed the colour spectrum cast on a wall at a fixed distance away from the prism, Goethe observed the cast spectrum on a white card which was progressively moved away from the prism ... As the card was moved away, the projected image elongated, gradually assuming an elliptical shape, and the coloured images became larger, finally merging at the centre to produce green.

Whereas the sea state in the storm has a frequency spectrum with more or less always the same shape ( i. e. a well defined peak with dominant frequencies within plus or minus 7 % of the peak ), the swell spectra are more and more narrow, sometimes as 2 % or less, as waves disperse further and further away.

Whereas the primary meanings of the Lo Shu diagram seemed to have been based on its inner mathematical properties -- and we shall see that even its secondary meanings rested on some mathematical bases -- the urgent desire to place everything into categories of fives led to other groupings based on other numbers, until an exaggerated emphasis on mere numerology pervaded Chinese thought.

It exists in four major polymorphs: α, β, γ and T. Whereas α, β and T phases are based on B < sub > 12 </ sub > icosahedra, the γ-phase can be described as a rocksalt-type arrangement of the icosahedra and B < sub > 2 </ sub > atomic pairs.

Whereas the older " depth scales " tried to infer the level of " hypnotic trance " based upon supposed observable signs, such as spontaneous amnesia, most subsequent scales measure the degree of observed or self-evaluated responsiveness to specific suggestion tests, such as direct suggestions of arm rigidity ( catalepsy ).

Whereas MVC comes from the previous decade ( by work at Xerox PARC in the late 1970s and early 1980s ) and is based on observations of applications that ran on a single graphical workstation ; MVC was applied to distributed applications later in its history ( see Model 2 ).

Whereas the first book has the deck of cards as a theme, this book is based on a game of chess, played on a giant chessboard with fields for squares.

Whereas the stewards of X since 1988 ( including the prior X. Org ) had been vendor organizations, the Foundation was led by software developers and used community development based on the bazaar model, which relies on outside involvement.

Whereas, during Great Lent each week has its own theme, during Holy Week each day has its own theme, again based upon the Gospel readings for the day:

Whereas the sign outside Detroit's pop-oriented Motown Records aptly read “ Hitsville U. S. A .”, the marquee outside of the converted movie theater where Stax was based proclaimed “ Soulsville U. S. A .”.

Whereas the Country Music Association, founded in 1958, was based in Nashville, the Academy sought to promote country music in the western states.

Whereas both Marxist-Leninist and Social-Democratic orthodox thinkers viewed Marxism as a new kind of positive science, Frankfurt School theorists, such as Horkheimer, rather based their work on the epistemological base of Karl Marx's work, which presented itself as critique, as in Marx's Capital: A Critique of Political Economy.

Whereas in the Middle Ages, the arts faculty had a set curriculum, based upon the trivium and the quadrivium, by the 19th century it had come to house all the courses of study in subjects now commonly referred to as sciences and humanities.

Whereas the Seventh-day Adventist church emphasises the message of the three angels of Revelation 14: 6-12, the Reform Movement places a distinct emphasis on a fourth angelic message based on Revelation 18: 1-4.

Whereas Curaçao and Bonaire opted for a phonologically based spelling, Aruba uses an etymologically based spelling.

Whereas a First Edition player was constrained to using the same dilemmas in each game of a tournament, the Second Edition player has a side deck, or ' dilemma pile ' from which to draw a random selection of dilemmas based on the number of personnel the opponent uses in a given mission attempt.

Whereas the first theme is based on a sharp dotted rhythm, the second relies on a static long-short-short pattern.

Whereas linguists have been able to connect some names to regions in Scandinavia, there are others that may be based on misunderstandings.

Whereas the wavelet transform is based on wavelets of the form g ( ax + b ), the p-type chirplet transform is based on chirplets of the form g (( ax + b )/( cx + 1 )), where a is the scale, b is the translation, and c is the chirpiness ( chirp-rate, as defined by the degree of perspective, or projection ).

Whereas the New American Cinema was marked by an oblique take on narrative, one based on abstraction, camp and minimalism, Structural-Materialist filmmakers like Hollis Frampton and Michael Snow created a highly formalist cinema that foregrounded the medium itself: the frame, projection, and most importantly, time.

Whereas before technologies such as NX and Automatic Route Setting required racks and racks of relays and other devices, solid state software based systems could handle such functions with less cost and physical footprint.

Whereas the endemic species list cited above is based on morphological and ecological characteristics, some recent applications of molecular genetic techniques underline the difference of the fauna from common European taxa, as well as the old age of the lake.

Whereas activated sludge systems are generally based on microorganisms like bacteria, protozoa, nematodes, rotifers and fungi capable to degrade bio degradable organic matter.

Whereas the truth of a descriptive statement is purportedly based on its correspondence to reality, some philosophers, beginning with Aristotle, assert that the ( prescriptive ) truth of a prescriptive statement is based on its correspondence to right desire.

Whereas engineering and natural sciences were taught in an entirely " Western mode ", the Chinese and European approaches were combined in the teaching of the humanities.

Whereas the usual organic surface-active agent is strongly sorbed at oil - water interfaces, the highly charged ions are most strongly sorbed at interfaces between water and insoluble materials exhibiting an ionic structure ( see Table 26-2 on p. 1678 ).

Whereas the eighteenth century had been a time in which man sought justice, the nineteenth and twentieth have been centuries in which men are satisfied with law.

Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,

Whereas for certain other language families, such as the speakers of Indo-European, Uralic, and Austronesian, we are able to frame substantial hypotheses, in the case of the proposed Altaic family everything remains to be done.

Whereas a biotic stress would include such living disturbances as fungi or harmful insects, abiotic stress factors, or stressors, are naturally occurring, often intangible, factors such as intense sunlight or wind that may cause harm to the plants and animals in the area affected.

Whereas other nations have soothsayers and diviners who attempt to discover the will of their gods, according to Heschel the Hebrew prophets are characterized by their experience of what he calls theotropism — God turning towards humanity.

Whereas the first part of the film takes place in society restrained by law and order, the second part, including the flashback scene, occurs in the world of individuals and thus the characters seen in the first part of the film are revealed in their true form.

Whereas it is paramagnetic at ambient conditions, it becomes antiferromagnetic upon cooling, and other magnetic transitions are also observed for many curium compounds.

Whereas analog filters are usually analysed in terms of transfer functions in the s plane using Laplace transforms, digital filters are analysed in the z plane in terms of Z-transforms.

Whereas several figures common to English Country Dance, e. g. arming and the straight hey, are found in the traditional dances and display dances such as morris, ECD's origins rest among the gentry, first at court, then spreading to bourgeois-London, finally moving into country manors around England.

Whereas arithmetic deals with specific numbers and operators ( e. g. 3 + 2 = 5 ), algebra introduces variables, which are letters that represent non-specified numbers ( e. g. 3a + 2a = 5a ).

Whereas most other pure metals are gray or silvery white, gold is yellow.

Whereas a hyponym is one of the items included in the generic, such as peach and oak are included in tree, and cruiser and steamer in ship, " brother " and " sister " in " family ".

Whereas his references to Judah are of a general kind, Ephraim or Samaria being sometimes mentioned in the same connection or more frequently alone, the situation implied throughout and the whole tone of the addresses agree with what we know of the Northern Kingdom at the time, and his references to places and events in that kingdom are so numerous and minute as to lead to the conclusion that he not only prophesied there, but that he was a native of that part of the country.

Whereas Jewish philosophers often debate whether God is immanent or transcendent, and whether people have free will or their lives are determined, Halakha is a system through which any Jew acts to bring God into the world.

Whereas " private property " grants an individual exclusive control over a thing whether it is in use or not, and regardless of its productive capacity, " possession " grants no rights to things that are not in use.

Whereas fracture and cleavage describes the surfaces that are created when a mineral is broken, tenacity describes how resistant a mineral is to such breaking.

Whereas the pH of a saturated morphine hydrate solution is 8. 5, the salts are acidic.

Whereas ' state-driven ' national unification's, such as in France, England or China, are more likely to flourish in multiethnic societies, producing a traditional national heritage of civic nations, or territory-based nationalities.

Whereas games of chance provided the impetus for the mathematical study of probability, fundamental issues are still obscured by the superstitions of gamblers.

Whereas enzymes are limited in their binding affinity for their substrates by the necessity of conducting their reaction, antibodies have no such constraints.

Whereas commercial agreements or prenuptial agreements generally do not require legal formalities to be observed, when married couples enter a property agreement, stringent requirements are imposed, including notarization, witnesses, special acknowledgment forms.