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

Assuming there is no intracardiac shunt, the pulmonary blood flow equals the systemic blood flow.

Assuming that the cash flow is certain, the firm can enter into a forward contract to deliver the US $ 100, 000 in 90 days time, in exchange for GBP at the current forward rate.

Assuming both the hydraulic conductivity and the horizontal components of flow are uniform along the entire saturated thickness of the aquifer ( i. e., and ), we can express Darcy's law in terms of integrated discharges, Q < sub > x </ sub > and Q < sub > y </ sub >:

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 the weather is halfway decent that day, hundreds of thousands of persons will mass along this thoroughfare as President John F. Kennedy and retiring President Dwight D. Eisenhower leave Capitol Hill following the oath-taking ceremonies and ride down this historic ceremonial route.

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

Assuming that 10 – 15 % of bread is thrown away as stale, if it could be made to stay fresh another 5 – 7 days then perhaps 2 million tons of flour per year would be saved.

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 a fixed sample size, the technique gives more accurate results when most of the variation in the population is within the groups, not between them.

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

Assuming the Axiom of choice, is regular for each α.

Let e be the error in b. Assuming that A is a square matrix, the error in the solution A < sup >− 1 </ sup > b is A < sup >− 1 </ sup > e.

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 that the rule is known, one can derive the function that is used above in the classical heat calculation with respect to pressure.

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

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 that the visible material makes up only a small part of the cluster is the most straightforward way of accounting for this.

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 everyone will marry, they focus their discussion on refraining from premarital sex and focusing on the joys of a future marriage.

), 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 ).

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 the evidence bears out, a hybrid is a compelling scenario that the chicken egg, based on the second definition, came before the chicken.

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 a Unix-style scenario in which one machine ( the client ) requires access to data stored on another machine ( the NFS server ):

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 a vague role as Executive Producer on all their releases is Thomas Fehlmann.

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 that the town would be in full foliage, the company showed up for outdoor shots on September 27, 1954.

Assuming that the French did not have more than 14, 000 men, he led to the army of La Mancha towards Toledo, reuniting all forces on 10 August in Almonacid.

Assuming that the bulk of the Austrian army was deployed so as to cover their bridgehead at Landshut and the main highway to Vienna, on 20 April 1809, Napoleon launched most of his army in an attack to the Southwest.

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 block of various sizes are transmitted on the LAN, software overhead is computed on average and novel time evaluation is used to estimate the bandwidth ( capacity ) of covert channels are also presented.

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

Assuming the gun and shooter are at rest, the force on the bullet is equal to that on the gun-shooter.

Assuming genetic drift is the only evolutionary force acting on an allele, after t generations in many replicated populations, starting with allele frequencies of p and q, the variance in allele frequency across those populations is

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 you have Verdana version 5. 01 installed, which supports the locl feature for the latn / ROM ( Romanian ) script, a quick demonstration ( on Linux ) is:

Assuming her mother's maiden name as her stage name, Hussey appeared on the London stage as Jenny in The Prime of Miss Jean Brodie, opposite Vanessa Redgrave.