Assuming a compression algorithm that shrinks the input data by a factor of CF, the bit rate and video size would equal to:

Assuming the gamma-ray explosion to be spherical, the energy output of GRB 080319B would be within a factor of two of the rest-mass energy of the Sun ( the energy which would be released were the Sun to be converted entirely into radiation ).

* Improbability factor: Assuming that it is improbable that a known error will occur

Assuming the cube does not have a fixed orientation in space, and that the permutations resulting from rotating the cube without twisting it are considered identical, the number of permutations is reduced by a factor of 24.

) Assuming the usual case where r < sub > O </ sub > >> R < sub > L </ sub >, the impedance is looking into the buffer is larger than the load R < sub > L </ sub > without the buffer by a factor of ( β + 1 ), which is substantial because β is large.

Assuming substitution of genes to take place slowly, one gene at a time over n generations, the fitness of the species will fall below the optimum ( achieved when the substitution is complete ) by a factor of about 30 / n, so long as this is small-small enough to prevent extinction.

Assuming the energy required scales with the mass of the fusion plasma ( E < sub > laser </ sub > ~ ρR < sup > 3 </ sup > ~ ρ < sup >- 2 </ sup >), compressing the fuel to 10 < sup > 3 </ sup > or 10 < sup > 4 </ sup > times solid density would reduce the energy required by a factor of 10 < sup > 6 </ sup > or 10 < sup > 8 </ sup >, bringing it into a realistic range.

Assuming that factor prices are constant, the production function determines all cost functions.

Assuming an increase in output of during each year after the start of commercial production, RAND predicts the costs would decline to $ 35 – 48 per barrel ($ 220 – 300 / m < sup > 3 </ sup >) within 12 years.

Assuming that decision-makers make cost-benefit analyses when deciding to use force, China's doctrine calls for acquiring a nuclear arsenal only large enough to destroy an adversary ’ s " strategic points " in such a way that the expected costs of a first strike outweigh the anticipated benefits.

Assuming an accurate CBA, changing the status quo by implementing the alternative with the lowest cost-benefit ratio can improve pareto efficiency .. An analyst using CBA should recognize that perfect evaluation of all present and future costs and benefits is difficult, and while CBA can offer a well-educated estimate of the best alternative, perfection in terms of economic efficiency and social welfare are not guaranteed.

Assuming the model, for a given level of sales and profit, the DOL is higher the higher fixed costs are ( an example ): for a given level of sales and profit, a company with higher fixed costs has a higher contribution margin, and hence its Operating Income increases more rapidly with Sales than a company with lower fixed costs ( and correspondingly lower contribution margin ).

Assuming a 60-year plant life and 5 % long-term cost of capital, the depreciation and capital costs not included in the previous marginal cost for Palo Verde are approximately another 1. 4 cents per kilowatt-hour.

Assuming that costs are accurately determined and benefits to be gained are sufficiently large, the project can proceed to the Design stage.

Assuming an adjustment to the July 1 to June 30 fiscal year, the required adjustment of the tax collection years and the towns involved are shown in Table 3.

:< u > The Copenhagen Interpretation </ u >: Assuming wave functions are not real, wave-function collapse is interpreted subjectively.

( Assuming the axiom of choice ), the following are equivalent.

Assuming that 100 engineers are needed to design a CPU and the project takes 4 years.

Assuming we can define at least one nonreal complex number, however, a complex number is definable if and only if both its real part and its imaginary part are definable.

Assuming the above are done one after another, minimum plane turnaround time is:

Assuming that the six factors are present and Miranda applies, the statement will be subject to suppression unless the prosecution can demonstrate

Assuming that the six factors are present, the Miranda rule would apply unless the prosecution can establish that the statement falls within an exception to the Miranda rule.

Assuming that a Miranda violation occurred — the six factors are present and no exception applies — the statement will be subject to suppression under the Miranda exclusionary rule.

Assuming hydrogen and oxygen are standard weights in this image ( as opposed to deuterium oxide ) the molecular mass should be 18. 01528 u.

Assuming there are no complications, the remaining portion of the first day's dose is then given.

Assuming that the leaders in the social hierarchy are perfectly conformed to the ruler, who is perfectly submissive to Heaven, conformity in speech and behaviour is expected of all people.

Assuming enharmonicity, many accidentals will create equivalences between pitches that are written differently.

Assuming that Ictis, Mictis and Corbulo are the same, Diodorus appears to have read Timaeus, who must have read Pytheas, whom Polybius also read.

* Assuming that an individual had no choice in who, when and where to come into being: How are the choices of existence determined by what he is?

* 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 all references are to the same person, as some ( but by no means all ) of the Church fathers did, the earliest reference to him is the canonical Acts of the Apostles, this is his only appearance in the New Testament.

Assuming both sidebands are symmetric, which is the case for a normal AM signal, no information is lost in the process.

Assuming Chavez was approximately 10 years old in 1979, that places the events of Debt of Honor to be in or near 2000, although the overall technology presented in the novel and its successive novels Executive Orders and Rainbow Six ( especially in regards to the sophistication of internet technology ) are more consistent with the mid-1990's.

Assuming that there are seven players on the field, and that a cup is in effect, this leaves four players to cover the rest of the field.

Assuming that the masses are constant, the virial G is one-half the time derivative of this moment of inertia

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 that the routing tables are consistent, the simple algorithm of relaying packets to their destination's next hop thus suffices to deliver data anywhere in a network.

Assuming linear variation of glaze and decoration with time, and that these variables are independent,

* January 1 – Assuming that the copyright laws are not changed further, all works published in 1923 enter the public domain in the U. S., the first works to do so since the passage of the 1998 Sonny Bono Copyright Term Extension Act.

Assuming that the ion is accelerated during a very short interval, the ion can be assumed to be travelling at constant velocity.

Assuming that the strength of the cable is proportional to its density per unit length, the weight, w, per unit length of the chain can be written T / c, where c is constant, and the analysis for nonuniform chains can be applied.

Assuming the diffusion coefficient D to be a constant we can exchange the orders of the differentiation and multiply by the constant:

Assuming that the air is incompressible, the rate of flow ( e. g. liters or gallons per minute ) must be constant within each streamtube since matter is not created or destroyed.

Assuming constant pressure and volume, the thermodynamic properties of the cell are related strictly to the behavior of its emf by:

Assuming that the balls travel at a constant velocity and the pitcher is stationary, the man will catch one ball every second.

Assuming to be a constant not depending on the amount of fuel left this relation is integrated to

Assuming dark energy remains constant ( an unchanging cosmological constant ), so that the expansion rate of the universe continues to accelerate, there is a " future visibility limit " beyond which objects will never enter our observable universe at any time in the infinite future, because light emitted by objects outside that limit can never reach points that expand away from us at less than the speed of light.

Assuming that the fluid is at rest at infinity and that the pressure is defined to be zero there, this constant is zero, and thus

Assuming a constant density throughout the star, this integration yields the formula

Assuming a constant density ρ for the cloud

Assuming this survivorship is constant through the adult life of a mosquito, less than 10 % of female A. gambiae would survive longer than a 14-day extrinsic incubation period.

Assuming a Gaussian profile for the bleaching beam, the diffusion constant D can be simply calculated from:

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 fans are fitted with inverter speed controls, set to maintain a constant pressure in the ventilation system, then the reduced pressure drop leads to a slowing of the fan motor and thus reducing power consumption, and in turn improves the seasonal efficiency of the system.

Assuming that the input signal is zero-mean ( i. e. contains no DC component ), minimal distortion is attained when this constant is set to zero.

Assuming a constant rate c of propagule generation from each of the N occupied patches, during a time dt, each unoccupied patch can become occupied with a colonization probability cNdt.

Assuming a constant rate of mutation, Luria hypothesized that if mutations occurred after and in response to exposure to the selective agent, the number of survivors would be distributed according to a Poisson distribution with the mean equal to the variance.