Whereas a Möbius strip is a surface with boundary, a Klein bottle has no boundary.

Whereas a conventional side electrode will ( admittedly, rarely ) come adrift in use and potentially cause engine damage, this is impossible with a surface discharge plug, as there is nothing to break off.

Whereas most forms of skywave propagation use the normal and cyclic ionization properties of the ionosphere's F region to refract ( or " bend ") radio signals back toward the Earth's surface, sporadic E propagation bounces signals off smaller " clouds " of unusually ionized atmospheric gas in the lower E region ( located at altitudes of approx.

Whereas a cork will float to the surface of water, a released helium-filled balloon does not rise to any atmosphere surface.

Whereas the latter is made in multi-paneled mold that join together, thus permitting the development of more sophisticated surface modeling, texture and design.

Whereas the glacial river deposits were more substantial by volume, the diamicton deposits represent a greater portion of the moraine's exposed surface.

Whereas it's difficult to tell from the surface formations where the Westphalian Lowlands begin, the landscapes of the Bergisches Land and the Lower Rhine Plain are easily recognisable.

Whereas Mississippian and Pennsylvania Age rock layers are deep beneath the surface in central Illinois, these strata pierce the surface in southern Illinois.

Whereas Spirit Energy in its raw form is ethereal, Mako is a liquid, taking this form after settling at the surface of the Planet and condensing.

Whereas mechanical milling and chemical etching exact physical stress on the board, laser etching offers non-contact surface removal, making it a superior option for PCBs where precision and geometric accuracy are at a premium, such as RF & Microwave designs.

Whereas some directors of film noir preferred the deterministic pessimism of Out of the Past and Raw Deal, Karlson tempered the surface cynicism of his films with an underlying sense of hope.

Whereas most video games use monocular cues to achieve the illusion of three dimensions on a two-dimensional screen, The Virtual Boy creates an illusion of depth through the effect known as parallax.

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 a crossover issue plays an integral part in furthering the plot, a tie-in simply expands upon a minor point, side-issue or tangential-but-somehow-linked story, which is not required by the reader to fully comprehend the plot of the main storyline / event, but nevertheless enhances it or creates greater depth.

Whereas the other Planeteers give Captain Planet his powers, Ma-Ti's ring creates his persona.

Whereas Cézanne had been influential to the development of Metzinger's Cubism between 1908 and 1911, during its most expressionistic phase, the work of Seurat would once again attract attention from the Cubists and Futurists between 1911 and 1914, when flatter geometric structures were being produced.

Whereas project-centered organizations ( like those in engineering, construction or the aerospace industries ) have structures built around project teams as their functional units, matrix organizations follow the traditional structures, with some adjustments to their hierarchy to support project units.

Whereas other theories of risk perception stress economic and cognitive influences, Cultural Theory asserts that structures of social organization endow individuals with perceptions that reinforce those structures in competition against alternative ones.

Whereas Weber believed economic organization is based on structures of material interest and ideas, institutional sociologist like Biggart and Beamish stress macro-institutional sources of arrangements of market capitalism.

Whereas the maintenance rotary fund had in the past sustained losses considerably beyond expectations, the introduction of the cost-billing system plus other control refinements has resulted in keeping the fund on a proper working basis.

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 a high percentage of the regular students can be expected to read other texts which more or less plow the same ground in a little different direction, the married students chose whole books on specific areas and went into much greater detail in their areas of interest.

Whereas Bultmann's `` center '' position is structurally inconsistent and is therefore indefensible on formal grounds alone, the general position of the `` right '', as represented, say, by Karl Barth, involves the rejection or at least qualification of the demand for demythologization and so is invalidated on the material grounds we have just considered.

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.

Whereas Bachofen saw the switch to paternity on Athena's behalf as an increase of power, Freud on the contrary perceived Athena as an " original mother goddess divested of her power ".

Whereas the AMD K6-III + topped out at 570 MHz due to its short pipeline, even when built on the 180 nm process, the Athlon was capable of clocking much higher.

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 a scalar CPU must complete the entire process of fetching, decoding, and executing each instruction and value in a set of data, a vector CPU can perform a single operation on a comparatively large set of data with one instruction.

Whereas cultural anthropology focused on symbols and values, social anthropology focused on social groups and institutions.

Whereas the philosophical approach to consciousness focuses on its fundamental nature and its contents, the medical approach focuses on the amount of consciousness a person has: in medicine, consciousness is assessed as a " level " ranging from coma and brain death at the low end, to full alertness and purposeful responsiveness at the high end.

Whereas stories at this time in Coronation Street were largely about family affairs, Brookside concentrated on social affairs such as industrial action, unemployment and the black market.

Whereas Travis's right hand used his index finger for the melody and thumb for bass notes, Atkins expanded his right hand style to include picking with his first three fingers, with the thumb on bass.

Whereas deforestation was primarily driven by subsistence activities and government-sponsored development projects like transmigration in countries like Indonesia and colonization in Latin America, India, Java, and so on, during late 19th century and the earlier half of the 20th century.

Whereas Plato's demiurge is good wishing good on his creation, gnosticism contends that the demiurge is not only the originator of evil but is evil as well.

* Whereas the notion of " free equivalence relation " does not exist, that of a free groupoid on a directed graph does.

Whereas Socrates was eventually put on trial and executed as a corrupting influence, Euripides chose a voluntary exile in old age, dying in Macedonia.

Whereas certain religions focus on individuals, like Christianity focuses on Jesus, Islam focuses solely on Allah.

Whereas Infocom's games had benefited significantly from the portability offered by running on top of a virtual machine, this strategy did not prove to be a significant advantage for Cornerstone ; in fact, the virtual machine significantly slowed the database's execution speed.

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 the stated goal of Israeli leaders since the founding of the State has been an end to the Jewish-Arab conflict with different means of attaining that goal considered between the country's respective right and left wing leaders, Feiglin has openly stated that, though he is not opposed to peace, peace is not his goal, and would not be on the top of his agenda as Prime Minister.

Whereas most other openers cut the can from the top, these cut the can from the side, just below the rolled rim.

Whereas the 1946 system required a second ballot before electing a candidate, now a second runoff election featuring the top 20 candidates, with the potential to select no more than one player, would be held only if no candidate received votes from 75 % of the writers in the first election.

Whereas early cetaceans such as Pakicetus had the nasal openings at the end of the snout, in later species such as Rodhocetus, the openings had begun to drift toward the top of the skull.

Whereas previously the Maentwrog power station had access to all of the water in the lake, the needs of the nuclear plant dictated that from then on, the hydro plant should only use the top 5 feet of water.

Whereas certain Texas universities ( such as the University of Texas at Austin ) can limit these " top 10 %" students to 75 % of the incoming freshmen class via a tiered system, Texas A & M University – Kingsville offers admission to any student who graduated in the top 10 %.

Whereas regular combat boots are laced through metal eyelets in the leather upper, the tanker boots are fastened with leather straps which wrap around the upper and buckle near the top.

Whereas most huqin are placed on top of the left thigh, the traditional gaohu is played with the soundbox held in between the knees.

Whereas for Newton magenta was an ' extraspectral ' colour, for Goethe magenta was a natural result of violet and red being mixed in a dark spectrum ( see top of colour wheel ), just as green resulted from the mixing of blue and yellow in the light spectrum ( bottom of colour wheel ).

Whereas the playoffs had previously been bracketed and seeded by division, they were now broken down only by conference: the division winners were seeded one-two by order of point finish, then the top six remaining teams in the conference were seeded three through eight.

Whereas workers can readily reach the top of the walls being erected with platform framing, balloon construction requires scaffolding to reach the tops of the walls ( which are often two or three stories above the working platform ).

" Whereas many businesses use the triple bottom line, " triple top line " stresses the importance of initial design and is a term attributable to McDonough and Braungart in their book Cradle to Cradle.

Whereas the original chassis had a platform flush to the seat on both sides, for the Easy Dunker 2 on one side the platform is lower, nearly flush to the top of the tank, forming a step that makes it easier to get onto the seat.

Whereas, the masses of the other quarks range from. 005 GeV ( up quark ) to 4. 7GeV ( bottom quark ), the top quark has a mass of 175 GeV .< ref >" Quark Chart.

Whereas, in a telephone keypad, either in a home or mobile phone, there will be the 123-keys at the top.

Whereas TPF runs as a stand-alone OS, ALCS is designed to run as an application on top of MVS / OS / 390 / z / OS.