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Assuming and impact
Assuming a normal circulation, a thrombus or other embolus formed in a systemic vein will always impact in the lungs, after passing through the right side of the heart.
Assuming people prefer to get to their destination quickly, town planning and zoning may have an impact on whether schools, shops, public transport interchanges and other destination are within a reasonable cycling distance of the areas where people live.

Assuming and origin
Assuming that all the particles start from the origin at the initial time t = 0, the diffusion equation has the solution
Assuming the mark in question meets certain other standards of protectibility, it is protected from infringement on the grounds that other uses might confuse consumers as to the origin or nature of the goods once the mark has been associated with a particular supplier.
Assuming an origin of the system in 786 BCE, this results in an identical system as that of the classical tropical zodiac, shifted by 25. 5 days, i. e., if in tropical astrology, Aries is taken to begin at March 21, sidereal Aries will begin on April 15.
Assuming that all members of parliament are present, all that is requried to win is 141 votes, regardless of the house of origin.
Assuming that the origin B is at its center, for each pixel in A superimpose the origin of B, if B is completely contained by A the pixel is retained, else deleted.
Assuming for simplicity that a and b are positive, one can say that a ruler, marked off in units of length c, could be used to measure out both a line segment of length a, and one of length b. That is, there is a common unit of length in terms of which a and b can both be measured ; this is the origin of the term.
Assuming now without loss of generality that P is the origin, take a smooth bump function h with value 1 on the interval and quickly tending to 0 outside it.

Assuming and other
Assuming otherwise as is done above will lead to lower GWPs for other gases than a more detailed approach would.
Assuming the appropriate gravity of the charge, and all other things being equal, a guilty plea to the same charge would cause the reverse effect: An opponent at trial could introduce the plea, over a hearsay objection, as evidence to establish a certain fact.
Assuming this is a binary search tree, as stated above, the elements must be interpreted as variables that can be compared to each other.
Assuming Odo commissioned the tapestry, it was probably designed and constructed in England by Anglo-Saxon artists ( Odo's main power base being by then in Kent ); the Latin text contains hints of Anglo-Saxon ; other embroideries originate from England at this time ; and the vegetable dyes can be found in cloth traditionally woven there.
Assuming that the scene contains objects which reflect all red light, and ( other ) objects which reflect all green light and still others which reflect all blue light, one can then deduce that the illuminating light source is described by ( r < sub > max </ sub >, g < sub > max </ sub >, b < sub > max </ sub >).
Assuming that bleeding is at a minimum, the other side is castrated in the same manner.
Assuming that the heading was incorrect, all other evidence points toward an attack on the Bever Dam.
Assuming the axiom of choice, every other infinite cardinal number is either regular or a ( weak ) limit.
Assuming that the coin must land on one side or the other,
Assuming that games and routine social acts have differentiated social positions, and that these positions create our cognitive perspectives, then it might be that by moving between roles in a game ( eg between hiding and seeking or buying and selling ) we come to learn about the perspective of the other.
Assuming that all of an individual's ancestors are otherwise unrelated to each other, that individual has 2 < sup > n </ sup > ancestors in the nth generation before him and a total of about 2 < sup > g + 1 </ sup > ancestors in the g generations before him.
Assuming the accuracy of such a guess, Kollikodon would be a contender for the largest Mesozoic mammal known, along with other possible giants such as Repenomamus, Schowalteria, and Bubodens.
Assuming office on December 1, he began an eighteen-month governorship at a time when impressment, the tax-in-kind, and other severe wartime economic measures had become most odious.
* There are 4 successive shots at the same frame: Assuming the ball is continuously caught, the ball can only be shot at the same frame to a maximum of 3 times, following which the next shot has to be made at the other frame at the opposite end of the playing field.
Assuming each photon absorbed in the depletion layer produces a viable electron-hole pair, and all other photons do not,
Assuming party discipline, the Gillard Labor government needed the support of either the Coalition, or of all the other non-Coalition senators to pass legislation.
Assuming that standard principles of intelligence tradecraft have been strictly observed by the principal agent and the agents in the network, compromised agents will not be able to identify the case officer, nor the other members of the network.
Assuming the homeowner leaves his or her house to investigate, the game becomes one of chicken, where the players try to outlast each other in remaining silent and stationary in front of the homeowner's house without giving in from embarrassment ( and leaving ) or giving in to laughter.
Assuming that the firm is operating with diminishing marginal returns then the addition of an extra worker reduces the average productivity of every other worker ( and every other worker affects the marginal productivity of the additional worker )-in English everybody is getting in each other's way.

Assuming and possible
* Assuming that not all possible choices are available to him: How capable is the individual to desire all choices available, in order to choose from among them?
Assuming that it is possible to distinguish an observation corresponding to one of the discrete probability masses from one which corresponds to the density component, the likelihood function for an observation from the continuous component can be dealt with as above by setting the interval length short enough to exclude any of the discrete masses.
Assuming an Immirzi parameter on the order of 1, this gives the smallest possible measurable area of ~ 10 < sup >− 66 </ sup > cm < sup > 2 </ sup >.
Assuming the fulfillment of certain technical criteria ( such as the sentencing of the accused whose punishment was not yet executed ), wherever it is possible to punish the conspirators with exactly the same punishment through which they had planned to harm their fellow, the court carries out this direct reciprocal justice ( including when the punishment constitutes the death penalty ).
Assuming a uniform distribution does well, and it is possible to calculate inferences about unseen tiles that marginally improves on that assumption.
Assuming that load results are bypassed with the same priority as integer results, then it's possible to summarize this recurrence as a load followed by another load — as if the program was following a linked list.
Assuming proper operation ( no stoppages ) a cook off is not possible with this design because a cartridge is not chambered until the moment the trigger is pulled and the weapon is fired, thus there is nothing in the chamber.
Assuming proper operation ( no stoppages ) a cook off is possible with this design because a cartridge is kept chambered in the potentially hot chamber, where it can absorb enough heat to cause ignition of its propellant.
Assuming the source to be " rotationally invariant " ( to produce all possible states λ with equal probability ), the probability of a given type of coincidence will clearly be proportional to the corresponding area, and these areas will vary linearly with the angle between a and b. ( To see this, think of an orange and its segments.
Assuming that the four centers of each color in each set are indistinguishable, the number of permutations of each set is reduced to 24 !/( 4 !< sup > 6 </ sup >) arrangements, all of which are possible.
Assuming that the connection is reliable makes it possible to eliminate error-checking and unnecessary synchronization steps, achieving both ease of implementation and improved performance.
Assuming that we don ’ t have a commitment to one ' set theory ' ( all toposes are in some sense equally set theories for some intuitionistic logic ) it is possible to state everything relative to some given set theory which acts as a base topos.

Assuming and dating
Assuming the Wei Zhi account that Himiko died around 248, if one accepts the dubious Japanese traditional dating, then she was closer to the 3rd-century CE Empress Jingū than to the 1st-century BCE Yamatohime-no-mikoto and Yamato-totohi-momoso-hime.
Assuming that dating here is according to the years of exile of Jeconiah, as elsewhere in Ezekiel, the Babylonian siege of Jerusalem began on January 27, 589 BC.

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