Assuming office on the morrow of the Italian defeat at Custoza, he succeeded in preventing Austria from burdening Italy with a proportion of the Austrian imperial debt, in addition to the Venetian debt proper.

Assuming that the French did not have more than 14, 000 men, he led to the army of La Mancha towards Toledo, reuniting all forces on 10 August in Almonacid.

Assuming that the warrior is dead, Drago and Empress Zara are free to conquer the Earth using their army of biomechanical beasts.

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 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 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 fulfillment of certain technical criteria ( such as the sentencing of the accused whose punishment was not yet executed ), wherever it is possible to punish the conspirators with exactly the same punishment through which they had planned to harm their fellow, the court carries out this direct reciprocal justice ( including when the punishment constitutes the death penalty ).

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.

Assuming that the airbags deployed, Beagle would, in the scenario, have bounced off the surface right back into the descending parachute ( see also Section 5. 4. 6 of the Inquiry Report ).

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.

* 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 that they should be destroyed, he made to smite the seven Fathers of the Dwarves with a great hammer, weeping as he did so.

Assuming further for simplicity ( all arrows are lost after just one shot, so that they are circulating capital ), the absolute competitive prices of beavers and deer become:

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 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 one had taken the necessary prerequisite courses, one could complete an OAC course before the OAC year, and so in many schools it was common for Grade 11 or Grade 12 students to have taken some OAC courses.

Assuming that she became a novice at eighteen and studied ten years or so to become Aes Sedai, she was about sixty eight when she was Stilled in the ter ' angreal accident.

Assuming the game can continue as long as the coin toss results in heads, in particular that the casino has unlimited resources, this sum diverges without bound, and so the expected win for the player, at least in this idealized form, is an infinite amount of money.

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 that at the moment that the accident occurs the reactor will be SCRAMed ( immediate and full insertion of all control rods ), so reducing the thermal power input and further delaying the boiling.

Assuming that the star is a supernova, the radiance of the light it emits corresponds ( by Planck's law ) to a temperature of several hundreds of kelvins, so that several frequencies may combine to produce the resonance frequencies of hydrogen atoms.

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 process P in the KPN above is constructed so that it first reads data from channel A, then channel B, computes something and then writes data to channel C, the execution model of the process can be modeled with the Petri net shown on the right.

Assuming that there are seven players on the field, and that a cup is in effect, this leaves four players to cover the rest of the field.

Assuming stable populations, analysis reveals that these populations will haemorrhage 8 % of their genetic diversity every decade.

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

" Assuming everyone will marry, they focus their discussion on refraining from premarital sex and focusing on the joys of a future marriage.

Assuming that the routing tables are consistent, the simple algorithm of relaying packets to their destination's next hop thus suffices to deliver data anywhere in a network.

Assuming a vague role as Executive Producer on all their releases is Thomas Fehlmann.

Assuming that the Masters in the city will have killed all their human slaves, thus precluding a second attack by infiltration, the Resistance attempts an aerial bombing using its newly constructed aeroplanes.

Assuming that the firearm and projectile are both at rest before firing, then their total momentum is zero.

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

Assuming people prefer to get to their destination quickly, town planning and zoning may have an impact on whether schools, shops, public transport interchanges and other destination are within a reasonable cycling distance of the areas where people live.

Assuming victory, Haldimand pledged that after the war ended, the British government would restore the Mohawk to their lands as stated before the conflict started.

Assuming their pneus were originally cylindrical, they were more rigid than worms, jellyfish or logs.

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 people who are skilled in learning can finish college more easily than people who are unskilled, then by finishing college the skilled people signal their skill to prospective employers.

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

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

Assuming that and have zero expected values, i. e.,, their covariance matrices and can be viewed as Gram matrices in an inner product, see Covariance # Relationship_to_inner_products, for the columns of and, correspondingly.

Assuming even just the lower estimate of £ 13 trillion hoarded away in offshore accounts, if these assets earned an average 3 % a year in income for their owners taxable at 30 %, then the offshore funds would generate £ 121 billion in tax revenues.

Assuming a purely random distribution of wars between states, regardless of their democratic character, the predicted number of conflicts between democracies would be around ten.

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

Assuming that these trends continued, Russians were likely to lose their status as a majority of the Soviet population around the turn of the 21st century.

Assuming the manifold M is smooth, the intersection product is computed by perturbing the homology classes to be transverse and computing their oriented intersection number.

Assuming that he was relieving himself, they waited " to the point of embarrassment " before unlocking the door and finding their king dead.

Assuming the election was already lost, the party decided to pick a likable but unwinnable minority candidate to improve their chances in the next presidential election.