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 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 a tempered scale with A = 440 Hz, a 60 Hz tone is almost exactly halfway between A ♯ ( 58. 24 Hz ) and B ( 61. 68 Hz ) two octaves below Middle C, and a 50 Hz tone is between G ( 49. 04 Hz ) and G ♯ ( 51. 93 Hz ) two octaves below Middle C, but slightly flatter than the quarter-tone.

Assuming the woman still has a uterus, menopause is defined as the day after her final episode of menstrual flow finishes.

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 we know on which day a century starts ( from above ), if we add the number of years elapsed since the start of the century, plus the number of leap years that have elapsed since the start of the century, we get the day of the week on which the year starts.

Assuming command of a brigade, Harris played a key role in delaying repeated attacks the next day by Harry T. Hays's famed Louisiana Tigers, helping secure the critical hill for George G. Meade.

Assuming England beat Turkey on the same day, a draw left Ireland and Poland with 6 points each with England on 8 points and all three teams having one remaining game.

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 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 that we could trace them in the woods by the voices of infants and dogs, the Sitkans put them all to death ... the entire set of circumstances led us to conclude that the fortress had contained no less than 800 persons of male gender.

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

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

Assuming that an interaction will occur ( with 100 % probability ) if the projectile hits the solid, and not at all ( 0 % probability ) if it misses, the total interaction probability for the single projectile will be the ratio of the area of the section of the solid ( the cross section, represented by ) to the total targeted area.

Assuming otherwise as is done above will lead to lower GWPs for other gases than a more detailed approach would.

Assuming that the six factors are present and Miranda applies, the statement will be subject to suppression unless the prosecution can demonstrate

Assuming that a Miranda violation occurred — the six factors are present and no exception applies — the statement will be subject to suppression under the Miranda exclusionary rule.

Assuming enharmonicity, many accidentals will create equivalences between pitches that are written differently.

Assuming that the matrix W is irreducible, then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate.

Assuming quality ( diffraction limited ) optics, lenses with larger numerical apertures collect more light and will generally provide a brighter image, but will provide shallower depth of field.

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

* February 15 – Assuming no further extensions to the term of copyrights become law in the interim, all sound recordings fixed before February 15, 1972 will enter the public domain in the U. S.

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 no further changes in the copyright law, all sound recordings fixed between February 15 and December 31, 1972 will enter public domain in the United States:

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 the plate boundary does not change as hypothesized, projected motion indicates that the landmass west of the San Andreas Fault, including Los Angeles, will eventually slide past San Francisco, then continue northwestward toward the Aleutian Trench, over a period of perhaps twenty million years.

Assuming increased acceptance, the milling industry will have to adapt to triticale, as the milling techniques employed for wheat are unsuited to triticale.

Assuming that the balls travel at a constant velocity and the pitcher is stationary, the man will catch one ball every second.

Assuming a trump suit of Hearts in a suit game, this hand will have a different valuation before and after the Skat has been examined.

Assuming a normal circulation, a thrombus or other embolus formed in a systemic vein will always impact in the lungs, after passing through the right side of the heart.

Assuming the material expands with temperature ( enriched Uranium-235 at room temperature for example ), at an exactly critical state, it will become subcritical if warmed to lower density or become supercritical if cooled to higher density.

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.