Given the book's fluid and changeable approach to plot and characters, a definitive, critically agreed-upon plot synopsis remains elusive ( see Critical response and themes: Difficulties of plot summary below ).

Given the homogeneity of the fluid, the bulk of the particles do not experience a net force pulling them to the right or to the left.

Given that the fluid velocity is moving in a spiral the gas velocity can be broken into two component velocities: a tangential component,, and a radial velocity component.

Given this success, it may come as a nasty shock that it seems to be very difficult, mathematically speaking, to construct rotating stellar models in which a perfect fluid interior is matched to an asymptotically flat vacuum exterior.

Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium ( such as a rocket or aircraft, missile or bullet ), an important problem is the determination of the nose cone geometrical shape for optimum performance.

Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium ( such as a rocket or aircraft, missile or bullet ), an important problem is the determination of the nose cone geometrical shape for optimum performance.

Given the fluid velocity as a function of position and time, write the average fluid velocity as, and the velocity fluctuation is.

Given the ( period, cash flow ) pairs (, ) where is the total number of periods, the net present value is given by:

Given a collection of pairs ( time, cash flow ) involved in a project, the internal rate of return follows from the net present value as a function of the rate of return.

Given the ( period, cash flow ) pairs (, ) where is a positive integer, the total number of periods, and the net present value, the internal rate of return is given by in:

Given the above-mentioned considerations, many critics of coca eradication believe the fundamental goal of the U. S. government is to constrict the flow of income to the Colombian Marxist rebel movement, FARC, which is heavily funded by the illegal drug trade, rather than combating drugs per se.

Given a flow network, and a flow on, we define the residual graph of with respect to as follows.

Given the small overall amount of power produced per cubic meter, there is a substantial case for increasing water flow to the natural channel, now that Arnacrusha is producing so small a proportion of ESB's power.

Given the proposed manner of action of the muscle pump to increase arterial blood flow, it would seem impossible for a muscle contraction and skeletal muscle hyperemia to be uncoupled.

Given this flow rate and the 96 metre fall it is easy to calculate that the Inga Falls alone has a potential to generate ~ 39. 6 GW of mechanical energy and nearly as much electrical energy.

Given that the average flow of the water is 465. 2 l / s this implies that it can whiten a day, but in practice this area coverage is difficult to attain.

Given its close proximity to Asia and constant flow of Asian immigrants, Asian food has the largest foothold in Los Angeles after Mexican cuisine.

Given these conditions, Lovelock expects human civilization will be hard pressed to survive.

" Given the elimination of these pernicious influences, Marx allowed that " normal conditions of spontaneous development " of the rural commune could exist.

Given the properties of a concept, these are necessary and sufficient conditions to classify the concept.

Given good viewing conditions, Thuban is relatively easy to spot in the night sky, due to its location in relation to the Big Dipper asterism of Ursa Major.

Given a ring R and a proper ideal I of R ( that is I ≠ R ), I is a maximal ideal of R if any of the following equivalent conditions hold:

Given the harsh conditions of the retreat, the infant was left with a local family ( Two Europeans retracing the Long March route in 2003 met a woman in rural Yunnan province, said by local officials to be Mao and He Zizhen's long-lost daughter ).

Given the many presentations and the relatively low occurrence of porphyria, the patient may initially be suspected to have other, unrelated conditions.

Given that " production could be carried on without any organization is, firm at all ", Coase asks, why and under what conditions should we expect firms to emerge?

Given a general triangle ABC, the following conditions would need to be fulfilled for the case to be ambiguous:

Given normal atmospheric conditions, the temperature, and thus speed of sound, varies with altitude:

Given the weather conditions close to the summit, cold weather injuries are very common.

Given the desperate economic conditions in Switzerland, 193 volunteers decided to leave their homeland to start anew in America.

Given a manifold M representing ( continuous / smooth / with certain boundary conditions / etc.

Given the landscape changes ( e. g., land development, urbanization, clearcutting in forested areas ) in the watersheds of many freshwater bodies, returning to pristine conditions would be a significant challenge.

Given the right reaction conditions ring-opening metathesis polymerization ( ROMP ) can be rendered living.

Given a set with three binary operations and, and two distinguished elements 0 and 1, then is a Heyting algebra for these operations ( and the relation defined by the condition that when ) if and only if the following conditions hold for any elements and of:

Given the right overall conditions of the compressed fuel — high enough density and temperature — this heating process will result in a chain reaction, burning outward from the center where the shock wave started the reaction.

Given the conditions of the experiment, the Canterbury group conclude that if any such ' Tajmar ' effect exists, it is at least 22 times smaller than predicted by Tajmar in 2006.

Given good conditions, a bud can produce a shoot with up to ten or more leaves.

Given sufficient time under fire or heat conditions, these products char away, crumble, and disappear.

Given the origins of the cardinal tetra, namely blackwater rivers whose chemistry is characterised by an acidic pH, low mineral content and the presence of humic acids, the species is adaptable to a wide range of conditions in captivity, though deviation from the soft, acidic water chemistry of their native range will impact severely upon breeding and fecundity.

Given the same energy source and operating conditions, a higher COP heat pump will consume less purchased energy than one with a lower COP.

Given such conditions, the chances are good that the whales can be driven fully ashore or close enough to the shore that they can be killed from land.

Given the difficult topographic and climatic conditions, construction units were prefabricated.