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However and assuming
However, certain physical phenomena can be modeled assuming the materials exist as a continuum, meaning the matter in the body is continuously distributed and fills the entire region of space it occupies.
However, assuming the cosmological principle that the universe is homogeneous and isotropic everywhere, every point in space is like every other point ; hence, the metric tensor must be the same everywhere.
However, on average, assuming the value searched for is in the list and each list element is equally likely to be the value searched for, the search visits only n / 2 elements.
However assuming that Mieszko I took control of Lesser Poland in 990 ( which is likely ), than Bolesław I was bestowed the rule in Lesser Poland by his father but without its territory being included in the Polish realm.
However within only five months of his assuming office, he protested vehemently, in a sermon in the cathedral, against the brutalities of the Kraras massacre ( 1983 ) and condemned the many Indonesian arrests.
However, it is true to a very good approximation for wires and resistors ( assuming that other conditions, including temperature, are held fixed ).
However, unpolarized light can be described perfectly by assuming that each photon is either with 50 % probability or with 50 % probability.
However, assuming people mature at different rates, the specific age of 21 would be too late for some and too early for others.
However, assuming that λ is equal to unity, it can be seen that they are not.
However, he saw the King on the verge of assuming full authority at the beginning of 1553 ( with Dudley contemplating retirement ) and ascribed the succession alteration to Edward's resolution, Northumberland playing the part of the loyal and tragic enforcer instead of the original instigator.
However, DSR models do not succumb to this difficulty since the deformed symmetry is exact and will protect the theory from unwanted radiative corrections — assuming the absence of quantum anomalies.
However, starting in the mid 1990's, crypto protocols were analyzed in operational models ( assuming perfect cryptography ) using model checkers, and numerous bugs were found in protocols that were " verified " with BAN logic and related formalisms.
However, the games up to Tenjiku shogi at least appear to be quite playable, assuming one has the time.
However, Zhuge Liang's army never suffered casualties over 5 % of the total forces, and the resources put into military were affordable ( assuming Shu's zenith at 200, 000 military strength.
However, using Dorsey's form, It approaches Eddie and chases after him before assuming the form of the gillman to kill Eddie.
However, in many practical applications, one is interested only in effects where the distance from the antenna to the observer is very much greater than the largest dimension of the transmitting antenna, the equations describing the fields created about the antenna can be simplified by assuming a large separation and dropping all terms that provide only minor contributions to the final field.
However, the exponential growth of the bets eventually bankrupts its users, assuming the obvious and realistic i. e. finite bankrolls ( one of the reasons casinos, though normatively enjoying a mathematical edge in the games offered to their patrons, impose betting limits ).
However, Cárdenas was reportedly unimpressed with the canyon, assuming the width of the Colorado River at six feet ( 1. 8 m ) and estimating-tall rock formations to be the size of a man.
However, additive noise behaviour is not always a valid assumption, and care should be taken to avoid assuming that this model always applies.
However, the league reorganized as Arena Football 1 before purchasing the assets of the Arena Football League, therefore assuming the AFL's history, and the Gladiators were revived for the 2010 season, with owner Jim Ferraro and Bernie Kosar returning as team president and Quicken Loans Arena continuing to act as the team's home field.
However the reality of the 1890s was that colonial governors had lost much of their administrative and political power, instead assuming more figurative and representative roles.
However, there is nothing stopping any given Speaker, if they choose to do so, from assuming traditional court dress or anything they deem appropriate.
However, there is nothing stopping any given Speaker, if they choose to do so, from assuming traditional court dress or anything they deem appropriate.
" However he commented that the portrait " is in danger of assuming the one-dimensionality of the Mother Teresa of her admirers ", and that he finished the book without much more of an idea of the character and motivations of Mother Teresa.

However and surface
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, at the base of this crack is a round void called an ampulla which would have functioned to distribute force over a larger surface area, hindering the ability of the " crack " formed by the serration to propagate through the tooth.
However, the University of Washington was unwilling to let the fledgling league use Husky Stadium, probably due to the excessive wear and tear that would have caused to the facility's grass surface.
However, a good sword blow arriving in exactly perpendicular angle to the surface could cut through the links ; when the mail was not riveted, a well placed thrust from a spear or thin sword could penetrate, and a pollaxe or halberd blow could break through the armour.
However, electrons are not easily released from the unheated anode surface when the voltage polarity is reversed.
However, the distinction between surface and phonological dyslexia has not replaced the old empirical terminology of dysphonetic versus dyseidetic types of dyslexia.
However, the flyby of Comet Borrelly was a great success and returned extremely detailed images of the comet's surface.
However, the term can also describe the rolling of dislodged soil particles 0. 5 to 1. 0 mm in diameter by wind along the soil surface.
However it is the forest floor, more than the canopy, that prevents surface erosion.
However, because the SEM image relies on surface processes rather than transmission, it is able to image bulk samples up to many centimetres in size and ( depending on instrument design and settings ) has a great depth of field, and so can produce images that are good representations of the three-dimensional shape of the sample.
However, the second type is less prone to clogging due to the greater surface area where the particles can be trapped.
However there is the possibility of the results being affected by the limited surface area ( i. e. edge effects ) and by the presence of large electric field.
However, it tarnishes quickly in moist air, forming a loosely adhering gadolinium ( III ) oxide ( Gd < sub > 2 </ sub > O < sub > 3 </ sub >), which spalls off, exposing more surface to oxidation.
However, since the Earth reflects about 30 % of the incoming sunlight, the planet's effective temperature ( the temperature of a blackbody that would emit the same amount of radiation ) is about − 18 ° C, about 33 ° C below the actual surface temperature of about 14 ° C.
However, a hydrophilic surface ( one that has an original contact angle less than 90 °) becomes more hydrophilic when microstructured – its new contact angle becomes less than the original.
However, while honey is very viscous, it has rather low surface tension.
However, distinctive karst surface features may be completely absent where the soluble rock is mantled, such as by glacial debris, or confined by one or more superimposed non-soluble rock strata.
However, the upper surface in this flow is a complicated, vortex-laden mixing layer, while on the lower surface the flow is quiescent.
However, this phenomenon is a special effect caused by the high voltage on the Leyden jar. In the dissectible Leyden jar, charge is transferred to the surface of the glass cup by corona discharge when the jar is disassembled ; this is the source of the residual charge after the jar is reassembled.
However, the distinction between mass and weight becomes important for measurements with a precision better than a few percent ( because of slight differences in the strength of the Earth's gravitational field at different places ), and for places far from the surface of the Earth, such as in space or on other planets.
However, an estimated 500 meteorites ranging in size from marbles to basketballs or larger do reach the surface each year ; only 5 or 6 of these are typically recovered and made known to scientists.
However, a new professional team in the area did not surface again until August 1959, when Minneapolis businessmen Bill Boyer, H. P. Skoglund, and Max Winter were awarded a franchise in the new American Football League ( AFL ).

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