Assuming that the Masters in the city will have killed all their human slaves, thus precluding a second attack by infiltration, the Resistance attempts an aerial bombing using its newly constructed aeroplanes.

Assuming no high-grade obstruction or associated infection is found in the urinary tract, and symptoms are relatively mild, various nonsurgical measures can be used to encourage the passage of a stone.

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 the columns of A ( and hence R ) are independent, the projection solution is found from A < sup > T </ sup > Ax = A < sup > T </ sup > b. Now A < sup > T </ sup > A is square ( n × n ) and invertible, and also equal to R < sup > T </ sup > R.

Assuming the worst, the miners of the 7: 30 raced up the trail to the entrance, and there they found Clifford Griffin, shot through the heart, in a grave he'd dug himself.

Assuming this connection is found, the first breakpoint is reached.

Assuming that everything is found to be acceptable, the FDA will decide if the NDA will get a standard or accelerated review and communicate the acceptance of the application and their review choice in another communication known as the 74-day letter.

Assuming an impact origin, other possible ways of dating the event include looking for evidence of ejecta material such as tektites, and deposits from the hypothesised tsunami, which might be found anywhere around the North Sea basin.

Assuming they'd be among many drag queens, they found themselves to be the only ones.

Assuming now that light travels along the x < sub > 3 </ sub > axis, the path of a light ray may be parametrized as and

Assuming that the cost of traversing any network segment is 1, the least cost path from bridge 4 to the root bridge goes through network segment c. Therefore, the root port for bridge 4 is the one on network segment c.

Assuming each test case takes one path, the number of cases needed to achieve path coverage is equal to the number of paths that can actually be taken.

Assuming that a router administrator on such a metanet knows only information about the adjacent routers, standard routing protocols can take care of finding the proper path for a packet to take to reach its destination.

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 that the United States is the most significant destination of immigration for Israelis, the sociologist Yinon Cohen estimated that in 2000 the total number of the Israeli Jews who live outside Israel was between 300, 000 and 350, 000.

Assuming no loss of time when moving a car from one station to another, the longest stage on the assembly line determines the throughput ( 20 minutes for the engine installation ) so a car can be produced every 20 minutes, once the first car taking 35 minutes has been produced.

Assuming that the pixel color is expressed using straight ( non-premultiplied ) RGBA tuples, a pixel value of ( 0. 0, 0. 5, 0. 0, 0. 5 ) implies a pixel which has 50 % of the maximum green intensity and 50 % opacity.

Assuming that all the particles start from the origin at the initial time t = 0, the diffusion equation has the solution

Assuming one has overcome the mind's initial flight response in those first torturous minutes, the body fights back by invoking a " blood rush ".

Assuming initially has value, two consecutive evaluations of the expression yield, respectively, and.

Assuming that the display screen has a fixed size, higher magnification results from reducing the size of the raster on the specimen, and vice versa.

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 a full-scale sine wave signal ( that is, the quantizer is designed such that it has the same minimum and maximum values as the input signal ), the quantization noise approximates a sawtooth wave with peak-to-peak amplitude of one quantization level and uniform distribution.

Assuming opener bids 1 and partner responds 2 ; opener will know from this bid that partner has 9 losers ( using basic LTC ), if opener has 5 losers rather than the systemically assumed 7, then the calculation changes to ( 5 + 9

Assuming the woman still has a uterus, menopause is defined as the day after her final episode of menstrual flow finishes.

) Assuming the student has read the case and can articulate the court's argument, the professor then asks whether the student agrees with the argument.

Assuming, the general second-order PDE in two independent variables has the form

Assuming that in the context cheese means some type of dairy product, the Euler diagram has the cheese zone entirely contained within the dairy-product zone — there is no zone for ( non-existent ) non-dairy cheese.

Assuming 4 trials, Worm has the nuts 2 times, and has a busted draw 2 times.

Assuming that birthdays are equally likely to happen on each of the 365 days of the year, the probability, P ( 2 ), that Person 2 has a different birthday than Person 1 is 364 / 365.

Assuming zero empirical mean ( the empirical mean of the distribution has been subtracted from the data set ), the principal component w < sub > 1 </ sub > of a data set X can be defined as:

Assuming that has an inverse in a neighbourhood of and that its derivative at that point is non-zero, its inverse is guaranteed to be differentiable at and have a derivative given by the above formula.

Assuming the subject has been under guard, the screener often can get valuable information about the subject's behavior from the guards.

Assuming a trump suit of Hearts in a suit game, this hand will have a different valuation before and after the Skat has been examined.

Assuming that the relic anti-neutrino is at rest, the energy of the incident cosmic neutrino has to be:

Assuming the goal of a system has been articulated and its measurements defined, the steps are:

Assuming something to be true for all numbers when it has been shown for over 906 million cases would not generally be considered hasty, but in mathematics a statement remains a conjecture until it is shown to be universally true.

Assuming the lower figure for the big blast and one shot estimated by the Japanese at 10 megatons, a conservative computation is that the 24 announced tests produced a total yield of at least 60 megatons.

Assuming average population densities of 0. 25 animals per km² in regions where it is known to be common or abundant, and 0. 02 per km² elsewhere, and with a total area of occupancy of 327, 000 km², a total population estimate of approximately 28, 000 is suggested.

Assuming that an interaction will occur ( with 100 % probability ) if the projectile hits the solid, and not at all ( 0 % probability ) if it misses, the total interaction probability for the single projectile will be the ratio of the area of the section of the solid ( the cross section, represented by ) to the total targeted area.

), the total human biomass is the average weight multiplied by the current human population of approximately 6. 5 billion ( see, e. g., ): Assuming 60 – 70 kg to be the average human mass ( approximately 130 – 150 lb on the average ), an approximation of total global human mass of between 390 billion ( 390 × 10 < sup > 9 </ sup >) and 455 billion kg ( between 845 billion and 975 billion lb, or about 423 million – 488 million short tons ).

For instance, raising the note B to B is equal to the note C. Assuming all such equivalences, the complete chromatic scale adds five additional pitch classes to the original seven lettered notes for a total of 12 ( the 13th note completing the octave ), each separated by a half-step.

Assuming the field is weak and the motion of the electron non-relativistic, we have the total energy of the electron approximately equal to its rest energy, and the momentum going over to the classical value,

Assuming the roll didn't botch, the total is ( as above ) compared to the difficulty of the action to determine success or failure ( and the degree of success or failure ).

Assuming normalization ( i. e. that all probabilities in the set do total 100 %), the probability density in quantum mechanics is equal to the square of the absolute value of the amplitude of the waveform.

Assuming that the Hunnic forces were roughly the same size as the Romano-Gothic, the number involved in battle is just under 100, 000 combatants in total.

Assuming that the firearm and projectile are both at rest before firing, then their total momentum is zero.

Assuming a near free-recoil condition, and neglecting the gases ejected from the barrel, then immediately after firing, conservation of momentum requires that the total momentum of the firearm and projectile is the same as before, namely zero.

Assuming the magma that formed Tharsis contained carbon dioxide ( CO < sub > 2 </ sub >) and water vapor in percentages comparable to that observed in Hawaiian basaltic lava, then the total amount of gases released from Tharsis magmas could have produced a 1. 5-bar CO < sub > 2 </ sub > atmosphere and a global layer of water 120 m thick.

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 that the turnover of total production capital invested remains constant, the proportion of total investment which just maintains the stock of total capital, rather than enlarging it, will typically increase as the total stock increases.

Assuming the opponents have an eight-card spade fit, there are 17 total tricks.

Assuming Sharchops still outnumber Ngalops some three to two, the total population is around 212, 500.

Assuming Sharchops still outnumber Ngalops some three to two, the total Ngalop population is around 141, 700.