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 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 that a certain percentage of these representations are in fact Tages, there appears to be no standard way to depict him.

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 the planet is perfectly grey with no greenhouse or tidal effects, and a Bond albedo of 0. 1, the temperature would be close to 1600 K. Although it has not been detected directly, it is certain that the planet is a gas giant.

Assuming that the reproductive functions of one sex are better performed at a certain size, then an organism would assume the sex that its size allows to perform the best.

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

* Silver bullet: Assuming that a favorite technical solution can solve a larger process or problem

Assuming perfect combustion conditions, such as complete combustion under adiabatic conditions ( i. e., no heat loss or gain ), the adiabatic combustion temperature can be determined.

Assuming they form a set, the definable numbers form a field containing all the familiar real numbers such as 0, 1, π, e, et cetera.

Assuming we restrict our measurements to the z-and x-axes, such a hidden variable theory is experimentally indistinguishable from quantum mechanics.

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 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 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 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 each character equals one byte, there are about 2 < sup > 320 </ sup > such passwords, which is about 2 × 10 < sup > 96 </ sup >.

Assuming q > 1 / 2 ( it is a real casino ) and he may only place bets at even odds, his best strategy is bold play: at each spin, he should bet the smallest amount such that if he wins he reaches his target immediately, and if he doesn't have enough for this, he should simply bet everything.

Assuming such a state were to exist at some point, any departure of the diver from its current depth, however small, will alter the pressure exerted on the bubble in the diver due to the change in the weight of the water above it in the vessel.

Assuming there is no future question as to the status of such a species, the absence of a type specimen does not invalidate the name, but it may be necessary in the future to designate a neotype for such a taxon, should any questions arise.

Assuming Volkov signed a standard contract, he would have no say whatsoever in whether an edition in this or that language appears ; such decisions would be made by his publisher.

Assuming that all rocks and minerals had once been fluid, Nicolas Steno reasoned that rock strata were formed when particles in a fluid such as water fell to the bottom.

Assuming T * is arithmetically definable, there is a natural number n such that T * is definable by a formula at level of the arithmetical hierarchy.

Assuming the pieces are the remnants of a flying saucer, the military " reconstructs " Bender's body as such.

Assuming the accuracy of such a guess, Kollikodon would be a contender for the largest Mesozoic mammal known, along with other possible giants such as Repenomamus, Schowalteria, and Bubodens.

Assuming that the natural median prey would be a small rodent such as a mouse, the bite would elicit a fear response quickening heart rate and increasing blood pressure.

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 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 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 there exists an eigenpair ( λ, y ) for A, such that vector y is positive, and given ( r, x ), where x-is the right Perron-Frobenius eigenvector for A ( i. e. eigenvector for A < sup > t </ sup >), then

Assuming that a router administrator on such a metanet knows only information about the adjacent routers, standard routing protocols can take care of finding the proper path for a packet to take to reach its destination.

Assuming that the identification of Æthelweard as the brother of Ælfgifu is correct, his mother was the Æthelgifu whose company Eadwig enjoyed along with her daughter whilst escaping his coronation.

* Assuming that British history was a march of progress whose inevitable outcome was the constitutional monarchy ; and

Assuming thermal equilibrium between the anode surface and the transpiring argon, the gas enthalpy rise through the anode was calculated according to the relation Af whereby the specific heat of argon was taken as Af.

Assuming Ignatius ' view was the Apostolic teaching and practice, the line of succession was unbroken and passed through the four ancient Patriarchal sees ( those local churches known to be founded by apostles ), Rome, Jerusalem, Antioch and Alexandria.

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 that it was not abandoned it would certainly have been closed down in 425 by the Christian emperor Theodosius II when he prohibited the worship of the old Roman and Greek gods.

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 Chavez was approximately 10 years old in 1979, that places the events of Debt of Honor to be in or near 2000, although the overall technology presented in the novel and its successive novels Executive Orders and Rainbow Six ( especially in regards to the sophistication of internet technology ) are more consistent with the mid-1990's.

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 this was the case, the actual physical work of stitching was most likely undertaken by skilled seamsters.

Assuming Steele was marrying her out of pity, Judith breaks off the engagement and reverts to her former lifestyle.

Assuming that capture of the Chinese capital would be the decisive turning point in the war, there was an eagerness to be among the first to claim the honor of victory.

Assuming the invasion was successful, York had three options: become Protector again ; disinherit the king so that York's son would succeed ; or claim the throne for himself.

Assuming that Sewell is counted as the first Prime Minister, thirty-eight people have held the office since it was established.

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 personae were a Greek and Roman tradition that was abandoned during the Medieval period.

If the tested number n is composite, the strong liars a coprime to n are contained in a proper subgroup of the group, which means that if we test all a from a set which generates, one of them must be a witness for the compositeness of n. Assuming the truth of the generalized Riemann hypothesis ( GRH ), it is known that the group is generated by its elements smaller than O (( log n )< sup > 2 </ sup >), which was already noted by Miller.

Assuming this was the enemy spotter, the tank commander asked for and received permission to fire.

Assuming the soil was contaminated with prions ( PrP < sup > SC </ sup >) from feces

Assuming this meant he would succeed, he attacked — but the kingdom he destroyed was his own.

Assuming that the heading was incorrect, all other evidence points toward an attack on the Bever Dam.

Assuming that George Mallory and Andrew Irvine did not reach higher in 1924, this was the highest than anyone had ever been.