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

Assuming that the equivalence principle holds, gravity influences the passage of time.

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

Assuming that X makes the first move every time:

Assuming that X makes the first move every time:

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

Assuming that the use of a 4-digit year field would continue, even in the far future, this would change the time code ambiguity from 100 years to 10 000 years.

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

Assuming the radiation levels are not too high and the area does not need to be abandoned such as the town of Pripyat near the Chernobyl reactor, an expensive and time consuming cleanup procedure will begin.

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 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 the spaceship's position at time being and the velocity being v < sub > 0 </ sub > and defining the following abbreviation

Assuming that Jeconiah's reign ended on the day that the Babylonians captured Jerusalem the first time, 2 Adar ( 16 March ) 597 BC, and further assuming that the Jewish calendar in the sixth century BC had the same number of days in the two preceding months as in the modern Jewish calendar, Jehoiachin's reign of three months and ten days () would have started on 21 Heshvan ( 9 December ) 598 BC.

Assuming that the series converges to a value n, the Turing machine would complete an infinite execution in n time units.

Assuming that the prophecy took place after Uzziah became sole regent in 768 / 767, Amos's prophecy can be dated to some time after that and some time before Jeroboam's death in 753 BC, with the earthquake two years after that.

These assumptions can be shown to lead to a " consumer's cost function ", C ( u, p ), the cost of achieving utility level u given a set of prices p. Assuming that the cost function holds across time ( i. e., people get the same amount of utility from one set of purchases in year as they would have buying the same set in a different year ) leads to a " true cost of living index.

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.

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 part for the first time in 1785, Praskovia sang Eliane for 12 years — a first in the history of serf theatre.

Assuming Winston did not have the irradiation treatment done, it could have taken place any time between 1955 ( when Winston sold it ) and 1971, the year it was offered at auction.

Assuming a civilian disguise in order to travel incognito, Cobra Commander was shown unmasked for the first time in the comic series, though only after he had donned obscuring accessories such as sunglasses and a false mustache.

Assuming your data cannot be compressed, the 8. 192 seconds to transmit a 64 kilobyte file over a 64 kilobit / s communications link is a theoretical minimum time which will not be achieved in practice.

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 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.

Expansion of U. S. copyright law ( Assuming authors create their works at age 35 and live for seventy years )

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

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

Assuming the stones were used for chiefly houses, it can be argued that Chamorro society was becoming more stratified, either from population growth or the arrival of new people.

Assuming otherwise as is done above will lead to lower GWPs for other gases than a more detailed approach would.

Assuming leadership of the Indian National Congress in 1921, Gandhi led nationwide campaigns for easing poverty, expanding women's rights, building religious and ethnic amity, ending untouchability, increasing economic self-reliance, and above all for achieving Swaraj — the independence of India from British domination.

Assuming the data is reliable, reasons for falling growth rates and fertility rates probably include late marriage, urbanization, limited housing space, and the expectation that women would participate equally in terms of work hours in the labor force.

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

Statistical hypothesis tests answer the question Assuming that the null hypothesis is true, what is the probability of observing a value for the test statistic that is at least as extreme as the value that was actually observed ?.

Assuming the liquid is an ideal solution, and using the formula for the chemical potential of a gas, gives:

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 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 that for the particle's actual velocity, we have that.

Assuming that the vice president of the Executive Yuan would be third in line for the presidency, the current line of succession is:

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 that the ion and electron saturation current is the same for each probe, then the formulas for current to each of the probe tips take the form

Assuming increased acceptance, the milling industry will have to adapt to triticale, as the milling techniques employed for wheat are unsuited to triticale.