Assuming further for simplicity ( all arrows are lost after just one shot, so that they are circulating capital ), the absolute competitive prices of beavers and deer become:

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 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 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 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 for simplicity no technological progress or labor force growth, diminishing returns implies that at some point the amount of new capital produced is only just enough to make up for the amount of existing capital lost due to depreciation.

Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model ( the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent.

Assuming ZF is consistent, Paul Cohen employed the technique of forcing, developed for this purpose, to show that the axiom of choice itself is not a theorem of ZF by constructing a much more complex model which satisfies ZF ¬ C ( ZF with the negation of AC added as axiom ) and thus showing that ZF ¬ C is consistent.

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.

Assuming that translation is not used transformations can be combined by simply multiplying the associated transformation matrices.

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

Assuming Ignatius ' view was the Apostolic teaching and practice, the line of succession was unbroken and passed through the four ancient Patriarchal sees ( those local churches known to be founded by apostles ), Rome, Jerusalem, Antioch and Alexandria.

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

), 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 that it was not abandoned it would certainly have been closed down in 425 by the Christian emperor Theodosius II when he prohibited the worship of the old Roman and Greek gods.

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 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 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 this was the case, the actual physical work of stitching was most likely undertaken by skilled seamsters.

Assuming that the transcriptions are not intended to be precise, only 11 of the 26 — Bravo, Echo, Hotel, Juliet ( t ), Kilo, Mike, Papa, Quebec, Romeo, Whiskey, and Zulu — are given English pronunciations by all these agencies, though not always the same English pronunciations.

Assuming night-cowl, and attended by a single maid,

Assuming colocation with the biblical Mount Zion, its southern section would have been walled at the beginning of the 2nd millennium BCE, in around 1850 BCE, by Canaanites who established a settlement there ( or in the vicinity ) named Jebus.

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

Assuming that the second particle is at rest before the collision, the angles of deflection of the two particles, and, are related to the angle of deflection in the system of the center of mass by

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 that eye movements are closely linked to the current focus of attention, language processing can be studied by monitoring eye movements while a subject is presented auditorily with linguistic input.