Assuming the lower figure for the big blast and one shot estimated by the Japanese at 10 megatons, a conservative computation is that the 24 announced tests produced a total yield of at least 60 megatons.

Assuming the weather is halfway decent that day, hundreds of thousands of persons will mass along this thoroughfare as President John F. Kennedy and retiring President Dwight D. Eisenhower leave Capitol Hill following the oath-taking ceremonies and ride down this historic ceremonial route.

Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model ( the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent.

Assuming ZF is consistent, Paul Cohen employed the technique of forcing, developed for this purpose, to show that the axiom of choice itself is not a theorem of ZF by constructing a much more complex model which satisfies ZF ¬ C ( ZF with the negation of AC added as axiom ) and thus showing that ZF ¬ C is consistent.

Assuming that the pixel color is expressed using straight ( non-premultiplied ) RGBA tuples, a pixel value of ( 0. 0, 0. 5, 0. 0, 0. 5 ) implies a pixel which has 50 % of the maximum green intensity and 50 % opacity.

Assuming that the ion is accelerated during a very short interval, the ion can be assumed to be travelling at constant velocity.

Assuming that 10 – 15 % of bread is thrown away as stale, if it could be made to stay fresh another 5 – 7 days then perhaps 2 million tons of flour per year would be saved.

Assuming average population densities of 0. 25 animals per km² in regions where it is known to be common or abundant, and 0. 02 per km² elsewhere, and with a total area of occupancy of 327, 000 km², a total population estimate of approximately 28, 000 is suggested.

Assuming a fixed sample size, the technique gives more accurate results when most of the variation in the population is within the groups, not between them.

:< u > The Copenhagen Interpretation </ u >: Assuming wave functions are not real, wave-function collapse is interpreted subjectively.

Assuming the Axiom of choice, is regular for each α.

Let e be the error in b. Assuming that A is a square matrix, the error in the solution A < sup >− 1 </ sup > b is A < sup >− 1 </ sup > e.

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 that the rule is known, one can derive the function that is used above in the classical heat calculation with respect to pressure.

Assuming that translation is not used transformations can be combined by simply multiplying the associated transformation matrices.

Assuming we can define at least one nonreal complex number, however, a complex number is definable if and only if both its real part and its imaginary part are definable.

Assuming that the visible material makes up only a small part of the cluster is the most straightforward way of accounting for this.

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 there are no complications, the remaining portion of the first day's dose is then given.

Assuming one has overcome the mind's initial flight response in those first torturous minutes, the body fights back by invoking a " blood rush ".

Assuming that X makes the first move every time:

Assuming that X makes the first move every time:

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.

* 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 all projects require the same amount of up-front investment, the project with the highest IRR would be considered the best and undertaken first.

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 these conditions the first law is rewritten as:

Assuming Gudfred had more than one sibling, Hemming and Reginold could also be paternal first cousins.

Assuming the official scorer agrees the shortstop could not have thrown the batter-runner out at first with ordinary effort, this play will be scored as a base hit and not FC.

Assuming that the image has been pre-smoothed by Gaussian smoothing and a scale space representation at scale has been computed, we can require that the gradient magnitude of the scale space representation, which is equal to the first-order directional derivative in the-direction, should have its first order directional derivative in the-direction equal to zero

Assuming the axiom of choice, is the first infinite cardinal which is singular ( the first infinite ordinal which is singular is ).

Assuming that is closed, there is a canonical symplectic form defined as which is compatible with, hence satisfying the first definition.

Assuming that Jeconiah's reign ended on the day that the Babylonians captured Jerusalem the first time, 2 Adar ( 16 March ) 597 BC, and further assuming that the Jewish calendar in the sixth century BC had the same number of days in the two preceding months as in the modern Jewish calendar, Jehoiachin's reign of three months and ten days () would have started on 21 Heshvan ( 9 December ) 598 BC.

Assuming it could be established in the first place, a beachhead on the Cotentin peninsula would be blocked off and attacked by land, sea and air.

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 geostrophic balance, the system is stationary and the first two equations become:

Assuming this connection is found, the first breakpoint is reached.

Assuming that Richard A. Locke was the author, his intentions were probably, first, to create a sensational story which would increase sales of the New York Sun, and, second, to ridicule some of the more extravagant astronomical theories that had recently been published.

Assuming the part for the first time in 1785, Praskovia sang Eliane for 12 years — a first in the history of serf theatre.

Assuming her mother's maiden name as her stage name, Hussey appeared on the London stage as Jenny in The Prime of Miss Jean Brodie, opposite Vanessa Redgrave.

* June 1: Assuming of functions of the Iraqi Interim Government led by Prime minister Iyad Allawi ; Ghazi al-Yawer is designed head of the Iraqi state.