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 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 that the newly found path to that destination has a total distance of 10, the router will transition back to Passive state and update both its RD and FD to the new shortest path length, in this case, 10.

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.

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 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 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 a court finds no contract, tax-payer is only liable for the fair market value of tax preparation services, which is not inflated up to account for the unusually large refund he enjoyed.

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

Average growth approximation: Assuming that two stocks have the same earnings growth, the one with a lower P / E is a better value.

Assuming that each year is 365 days long, the same date on each succeeding year will be offset by a value of.

Assuming now without loss of generality that P is the origin, take a smooth bump function h with value 1 on the interval and quickly tending to 0 outside it.

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 reducing to the classical value,

Assuming that the signal value is in the range of one step of the quantized value with an equal distribution, the root mean square value of this quantization noise is

Assuming there are four partitions, the hash function could return a value from 0 to 3.

< li > Assuming an absolute magnitude of + 0. 5 V for RR Lyrae the apparent modulus of the Draco Dwarf is 19. 58 m-M. Using a reddening value towards Draco Dwarf of 0. 03 ± 0. 01 we get a true distance modulus of 19. 55 .</ li >

Assuming regulation assures that credit adequately reflects ecological value, mitigation has the potential to save and restore the most valuable environmental resources at the least cost.

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 ).

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 the responsibility of mediator between the two sides, and with Erasmus ' willing participation ( the robot being left as the leader and controlling-force of the thinking machines ), Duncan does something similar to Bene-Gesserit Sharing with the robot ; possibly along with what seems to be a physical-bonding ( similar to what Leto II did with the sandtrout ) into something of a human-machine hybrid.

Assuming a fuel pump had failed, the pilots turned it off, since gravity would still feed fuel to the aircraft's two engines.

Assuming bus commuters do not care about the color of the bus, consumers are expected to choose between bus and car still with equal probability, so the probability of car is still 0. 5, while the probabilities of each of the two bus types is 0. 25.

Assuming both p and q are nonzero, neither of the groups O ( p, q ) or SO ( p, q ) are connected, having four and two components respectively.

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 the dialectical interpretation, it argues that Snow's concept of " two cultures " is not only off the mark, it is a damaging and short-sighted viewpoint ; and that it has perhaps led to decades of unnecessary fence-building.

* By clock: Assuming that the dancer stands at the center of a clock with hands and faces 12, one may say, e. g., " take a step at two o ' clock ".

Assuming the crown, he passed Burgundy to his younger brother, Hugh the Black, after only two years as duke.

Assuming the spacing between two ions is a, the potential in the lattice will look something like this:

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.

Assuming geostrophic balance, the system is stationary and the first two equations become:

Assuming that two individuals share the same 32 ancestors of n =

Assuming the hidden variable to be polarisation direction ( parallel on the two sides in real applications, not orthogonal ), equation ( 1 ) becomes:

Assuming two competitors per match, if there are competitors, there will be rounds required, or if there are rounds, there will be competitors.

Assuming the route was blocked, he returned to the two cargo ships on one of the expedition's small launches.

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

Assuming the radius of the first gear wheel is known as a function of z, and using the relationship, the above two equations can be combined to yield the differential equation:

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

Assuming the right amount of current for the right time, this will weld the two pieces of metal together.

Assuming the plain black habit of the institution in 1828, she conducted the affairs of the home while Mother McAuley and two foundress companions were making their novitiate in the Presentation Convent of George's Hill preparatory to the founding of the new congregation.