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

Assuming this result, we can deduce the following properties:

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 material expands with temperature ( enriched Uranium-235 at room temperature for example ), at an exactly critical state, it will become subcritical if warmed to lower density or become supercritical if cooled to higher density.

Assuming that ethnic groups can be defined as a group of people who band together to protect material goods, while satisfying the need to feel a part of a group, violence resulting from ethnicity can be a result of a violation of either of these.

Assuming an impact origin, other possible ways of dating the event include looking for evidence of ejecta material such as tektites, and deposits from the hypothesised tsunami, which might be found anywhere around the North Sea basin.

Assuming no leakage of actinides to the waste stream during reprocessing, a 1GWe IFR-style reactor would consume about 1 ton of fertile material per year and produce about 1 ton of fission products.

Assuming a " dead " sprawl, they watch the aircraft pass over: the men inside have Slavic features and have evidently begun a takeover attempt.

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 we connect New York with Los Angeles by means of an electronic telecommunication network that operates in strong transmission ranges, as well as with continental satellites, wave guides, bundled coaxial cable, and later also via laser beam fiber optics: the expenditure would be about the same as for a Moon landing, except that the benefits in term of by-products would be greater.

* 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 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 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 that the dimensionless constants in the theory do not get too large, one can group calculations by inverse powers of the cutoff, and extract approximate predictions to finite order in the cutoff that still have a finite number of free parameters.

Assuming each photon absorbed in the depletion layer produces a viable electron-hole pair, and all other photons do not,

Assuming that the user is fluent with typing, the user can enter commands faster than when using the graphical interface, because the users do not have to move their hands from the keyboard to enter different commands.

Assuming they each know nothing about the other player, but that they each do want to win the prize, then they will, reasonably, both choose the red square.

Assuming the source to be " rotationally invariant " ( to produce all possible states λ with equal probability ), the probability of a given type of coincidence will clearly be proportional to the corresponding area, and these areas will vary linearly with the angle between a and b. ( To see this, think of an orange and its segments.

Assuming that the marginal cost of extracting the resource does not depend on the rate of extraction and doest not vary over time, then the market price of the asset over time would be

Assuming that is appreciably less than

Assuming the appropriate gravity of the charge, and all other things being equal, a guilty plea to the same charge would cause the reverse effect: An opponent at trial could introduce the plea, over a hearsay objection, as evidence to establish a certain fact.

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 the plate boundary does not change as hypothesized, projected motion indicates that the landmass west of the San Andreas Fault, including Los Angeles, will eventually slide past San Francisco, then continue northwestward toward the Aleutian Trench, over a period of perhaps twenty million years.

Assuming the military lead in the fight, Haakon nevertheless defeated Ribbung through comprehensive and organisationally demanding warfare over the next years.

Assuming that the radius of the star does not change over this interval, the long term variation in activity level appears to produce a temperature variation of 15 K, which corresponds to a variation in visual magnitude ( V ) of 0. 014.

Assuming the forces are somewhat evenly spread out over their respective durations, the condition for free-recoil is, while for zero-recoil,.

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.

Assuming the roles of Senator, Representative, lobbyist, and press, the legislature meets in a four-day legislative session at the state capitol presided over by their statewide elected officials, including governor, secretary of State, lieutenant governor and speaker of the state House.

Assuming that payments begin at the end of the current period, the price of a perpetuity is simply the coupon amount over the appropriate discount rate or yield, that is

Assuming a flow is bounded on one side only, and that a rectilinear flow passing over a stationary flat plate which lies parallel to the flow, the flow just upstream of the plate has a uniform velocity.

Assuming that her relationship with Edward and her marriage to John are over, Florence takes prussic acid – which she has carried for years in a vial that John thought held her heart medicine – and dies.

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 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 such a statistical ensemble consists of an overall collection of N microscopic states, the ensemble is constructed so that the proportion p < sub > i </ sub >/ N of members of the ensemble which are in microscopic state i is proportional to the probability, over time, of finding the real-world system in that microscopic state i. Thus the ensemble is an imaginary static collection of microscopic states created to mirror the statistics of the successive fluctuations of the macroscopic physical system which is being modeled.

Assuming no economic recovery, this recommendation could result in a maximum potential reduction of 487 jobs ( 295 direct jobs and 192 indirect jobs ) over 2006-2011 in the Wichita Falls, TX, Metropolitan Statistical Area ( 0. 5 percent ).

Assuming the star radiates isotropically and that the planet is a long way from the star, the power absorbed by the planet is given by treating the planet as a disc of radius < var > r </ var >, which intercepts some of the power which is spread over the surface of a sphere of radius < var > D </ var >.

Assuming that the employees of both parties are paid equally, Party B has an absolute advantage over Party A in producing widgets per hour.

Assuming that the trait has a genetic component, over time the mean will move in the direction of the positive effect, and away from the negative effect.

Assuming a true ( and US legal ) blood-alcohol concentration of. 07 %, for example, a person with a partition ratio of 1500: 1 would have a breath test reading of. 10 %— over the legal limit.

Assuming its eruptions have continued to occur at the same rate as those observed recently, the star will have lost approximately 20 solar masses over 10, 000 years.

Assuming z achieves a steady concentration over time, z settles down to satisfy

and compute the gradient of the energy over distance to obtain the force F. Assuming that the cantilever deflects along the z-axis, and the tip is magnetized along a certain direction ( e. g. the z-axis ), then the equations can be simplified to