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 the identity of " John Smith " ( the English equivalent of his natural German name ), Skull decided that he would reinvent himself and his quest for absolute power as a means to celebrate his cheating death.

Assuming the worst, the miners of the 7: 30 raced up the trail to the entrance, and there they found Clifford Griffin, shot through the heart, in a grave he'd dug himself.

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

Assuming that B. Traven is identical with the revolutionary Ret Marut, there is a clear parallel between the fate of Gale and the life of the writer himself, devoid of his home country, who might also have been forced to work in a boiler room of a steamer on a voyage from Europe to Mexico.

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 all the particles start from the origin at the initial time t = 0, the diffusion equation has the solution

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

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

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 leadership of the Indian National Congress in 1921, Gandhi led nationwide campaigns for easing poverty, expanding women's rights, building religious and ethnic amity, ending untouchability, increasing economic self-reliance, and above all for achieving Swaraj — the independence of India from British domination.

* Assuming that not all possible choices are available to him: How capable is the individual to desire all choices available, in order to choose from among them?

Assuming p, one proves R and ¬ R, and concludes from this that p → ( R ∧ ¬ R ).

Assuming ¬ p, one proves R and ¬ R, and concludes from this that ¬ p → ( R ∧ ¬ R ).

Assuming a hereditary basis, one question from evolutionary psychology is why genes that increase the likelihood of psychosis evolved, assuming the condition would have been maladaptive from an evolutionary point of view.

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 spherically symmetrical planet, the strength of this field at any given point is proportional to the planetary body's mass and inversely proportional to the square of the distance from the center of the body.

Assuming that the use of a 4-digit year field would continue, even in the far future, this would change the time code ambiguity from 100 years to 10 000 years.

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 that it is possible to distinguish an observation corresponding to one of the discrete probability masses from one which corresponds to the density component, the likelihood function for an observation from the continuous component can be dealt with as above by setting the interval length short enough to exclude any of the discrete masses.

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 a perfect sphere with no terrain irregularity, the distance to horizon from a high altitude transmitter ( i. e., line of sight ) can readily be calculated.

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 the cost of traversing any network segment is 1, the least cost path from bridge 4 to the root bridge goes through network segment c. Therefore, the root port for bridge 4 is the one on network segment c.

Assuming the columns of A ( and hence R ) are independent, the projection solution is found from A < sup > T </ sup > Ax = A < sup > T </ sup > b. Now A < sup > T </ sup > A is square ( n × n ) and invertible, and also equal to R < sup > T </ sup > R.

Assuming the subject has been under guard, the screener often can get valuable information about the subject's behavior from the guards.

Assuming that the town would be in full foliage, the company showed up for outdoor shots on September 27, 1954.

Assuming that the town would be in full foliage, the company showed up for outdoor shots on September 27, 1954.

Assuming the document to be genuine, prominent Mormon academic Hugh Nibley predicted that the discovery promised " as good a test as we'll ever get of the authenticity of the Book of Mormon " because he thought the paper might be translated.

Assuming that the inventor had more in his mind than what he wrote on paper and therefore allowing arbitrary valve timing, its idealized thermodynamic cycle is similar to that of a gas turbine, which can have a high compression ratio and relatively high efficiency.

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 presidency of this division in late 1974, Davis would fold the various Columbia legacy labels ( Colpix Records, Colgems Records, and Bell Records ) into a new entity named Arista Records, ultimately buying a percentage of the company from Columbia Pictures.

Assuming command of a last-place team, Schuerholz went to work and recruited half of a new infield by first signing Sid Bream to a contract, then getting Pendleton to sign a four year, $ 10. 2 million contract with the Atlanta Braves on December 3, 1990.

Assuming it was a kindly rejection, she was later surprised to be invited for a meal at Mr. Chow with Lloyd Webber and the lyricist Don Black to discuss the concept of a song cycle inspired by the story of a friend of the composer who had moved from London to the United States to begin a new life.

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.

→ Assuming for simplicity no technological progress or labor force growth, diminishing returns implies that at some point the amount of new capital produced is only just enough to make up for the amount of existing capital lost due to depreciation.

Assuming that the number of colonies in an area remains constant over time, on average only one queen among the many thousands sent out by a colony successfully founds a new one.

Assuming the anglicised names Carter and Shiera Hall, they became the museum's new curators.

Assuming that the ring R has a unit element 1, and denoting the group unit by 1 < sub > G </ sub >, the ring R contains a subring isomorphic to R, and its group of invertible elements contains a subgroup isomorphic to G. For considering the indicator function of

Assuming an application used by a hospital needs to map the data element concepts to the UDEF, the last name and first name ( within UDEF you will find Family Name and Given Name under the UDEF property Name ) of several people that are likely to appear on a medical record that could include the following example data element concepts –