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, assuming the surface to winds are uniform, a faster overall velocity will work to transport moisture quicker from the water, and the band will travel much further inland.

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, there always is some limit to the numbers who will spend the time and effort to acquire training.

However likely it was, Pauling said, he couldn't limit himself to it.

However, commonly there are delays in regulatory and legislative actions to limit the use of antibacterials, attributable partly to resistance against such regulation by industries using or selling antibacterials, and to the time required for research to test causal links between antibacterial use and resistance.

However, following bad sales of Dark Void and Bionic Commando, the company's management has decided to limit outsourcing to sequels and newer versions of installments in existing franchises, reserving the development of original titles for its in-house teams.

However, some philosophers argue that we should not limit our ethical consideration to the interests of human beings alone.

However the closed interval is complete ; the given sequence does have a limit in this interval and the limit is zero.

However, if the sequence itself is definable in the sense that we can specify a single formula for all its terms, then its limit will necessarily be a definable number.

However, there is no hard limit to the upper range a virtuoso solo player can achieve using natural and artificial harmonics.

However, if the approximation is defined asymptotically, for example by saying that two functions f and g are approximately equal near some point if the limit of f-g is 0 at that point, then this defines an equivalence relation.

However, there are many available alternative land use practices that can curtail or limit erosion — such as terrace-building, no-till agriculture, and revegetation of denuded soils.

However practical devices have a limit to the peak current they can pass, and the pulse must therefore be widened, to around 120 degrees, to obtain a reasonable amount of power, and the efficiency is then 60-70 %.

However, most merchants who provide the facility set a relatively low limit on cash out, generally $ 50, and some also charge for the service.

However, these transactions are limited to $ 100, and some stores have a lower limit.

However, lacking fluency in the Japanese language, he had to limit himself to reading aloud the translation of a catechism.

However, the Norwegian Competition Act section 10 prohibits cooperation which may prevent, limit or diminish the competition.

However, this seems to set an upper limit on the effects of test sophistication.

However, courts and various levels of government have indicated that the right is not without limit, and restrictions such as a prohibition of certain persons from owning or handling a gun ( convicted felons, mentally ill persons, persons under a restraining order ), a ban on certain types of ammunition ( armor-piercing, incendiary / tracer, explosive ), registration and restriction of certain types of firearms ( automatic weapons, short-barrelled shotguns, certain types of modifications ), and licensing requirements for possession or for public carry, have often passed judicial scrutiny ( although some of these points remain untested and others are currently under challenge ).

However, this proposition is not generally accepted, as T1 has other morphological features, such as an articulating rib, deemed diagnostic of thoracic vertebrae, and because exceptions to the mammalian limit of seven cervical vertebrae are generally characterized by increased neurological anomalies and maladies.

However, expansion has been difficult because mountains cover much of the countryside and limit the land available for cultivation.

However, the small dimensions limit the inductance, and it is far more common to use a circuit called a " gyrator " that uses a capacitor and active components to behave similarly to an inductor.

However, the use of such factors is often considered to be unfair or unlawfully discriminatory, and the reaction against this practice has in some instances led to political disputes about the ways in which insurers determine premiums and regulatory intervention to limit the factors used.

However, in order to not limit potential detainee's freedoms too much it is characterized by the time limit of near future.

However, massive new constructions have by now covered large areas beyond these traditional limit, and a number of previously independent nuclei-like Viana-were incorporated into the city.