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Assuming the sky is clear, the Earth's shadow is visible in the opposite half of the sky to the sunset or sunrise, and is seen right above the horizon as a dark blue band.
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Assuming and is
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 and clear
Assuming that the original statement is actually identified by, it should be clear by comparing the original statement with the reification that the reification actually does describe it.
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 creditors accepted his proposed debt repayment plan before the fight, all Tarver's previous debts would have been discharged, and the $ 2 million dollar purse from the win would have been his, free and clear.
Assuming the way is clear for the Cause to proceed, the bishop will then progress it by initiating the diocesan inquiry stage of the process, which is divided into two separate areas of investigation: the inquiry into heroic virtues or martyrdom ; and the inquiry into ' signs " or miracles ( normally of a medical nature ) attributed to the intercession of the candidate.
Assuming her labor pains were a symptom of nauseous migraine like the ones she suffered as a child, she had simply gone for a walk to clear her head, and this strange thing had happened to her.
Assuming and Earth's
Assuming that one of the fifteen stars on the map must represent the Earth's Sun, Fish constructed a three-dimensional model of nearby Sun-like stars using thread and beads, basing stellar distances on those published in the 1969 Gliese Star Catalogue.
Assuming and shadow
* Assuming the shadow position ( with any handhold ), the leader leads the follower into chicken walks.
Assuming and opposite
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.
* There are 4 successive shots at the same frame: Assuming the ball is continuously caught, the ball can only be shot at the same frame to a maximum of 3 times, following which the next shot has to be made at the other frame at the opposite end of the playing field.
Assuming and half
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 that the diameter of a choking pulley is twice the diameter of its shaft, which is a generous estimate, then the frictional resistance force at the outer diameter of a choking pulley is half the frictional resistance force at the shaft of a choking pulley.
Assuming and seen
Assuming the sensed image includes the whole target, the angle seen by the camera, its FOV, is this angular extent of the target times the ratio of full image size to target image size.
Assuming a frame with unitary vectors ( X, Y, Z ) as in the main diagram, it can be seen that
Assuming and right
Assuming the butt is gripped with the left hand, moving the staff slightly to the right to defend blows is called the outside guard.
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 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 that there is at least 1 free electron near A, that electron will begin to accelerate to the right toward electrode B.
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 the right amount of current for the right time, this will weld the two pieces of metal together.
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 and above
Assuming otherwise as is done above will lead to lower GWPs for other gases than a more detailed approach would.
Assuming the above are done one after another, minimum plane turnaround time is:
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 this is a binary search tree, as stated above, the elements must be interpreted as variables that can be compared to each other.
Assuming the roll didn't botch, the total is ( as above ) compared to the difficulty of the action to determine success or failure ( and the degree of success or failure ).
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 the dielectric properties of the material inside the cable do not vary appreciably over the operating range of the cable, this impedance is frequency independent above about five times the shield cutoff frequency.
Assuming that has an inverse in a neighbourhood of and that its derivative at that point is non-zero, its inverse is guaranteed to be differentiable at and have a derivative given by the above formula.
Assuming that the height of these layers are about 100km above ground, he estimated that oscillations ( in this case the lowest mode of the Schumann resonances ) would have a period of 0. 1 second.
Assuming that mass is invariant in all inertial frames, the above equation shows Newton's laws of mechanics, if valid in one frame, must hold for all frames.
Assuming the above doStuff is a method, it is being called with zero arguments and as a result, explicit parentheses are not required.
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 that the degree of does not exceed, the criterion is correct however, and somewhat stronger than the formulation given above, since if is irreducible modulo, it certainly cannot decompose in into non-constant factors.
Assuming the equivalence of homological and numerical equivalence, i. e. the above standard conjecture D, the functor H is an exact faithful tensor-functor.
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 a nonvanishing mass gap m < sub > 0 </ sub >, the frequency of any state like the above, which is orthogonal to the vacuum, is at least m < sub > 0 </ sub >,
Assuming that non-members take reasonable precautions and adjusting activities to the association's prohibition of their enforcing their own rights, the association is required to raise the non-member above his actual position by an amount equal to the difference between his position on an indifference curve he would occupy were it not for the prohibition, and his original position.
Assuming that the results of c1 () and c2 () are independent, that means that the function as presented above contains a bug.
Assuming that the transmitting antenna's wavelength, height above average terrain, and effective radiated power is equal, a transmitted signal on 33 centimeters will, generally speaking, usually travel about 3 / 4 of the distance that the same signal would if transmitted on the 70 centimeter band.
Assuming the radius of the first gear wheel is known as a function of z, and using the relationship, the above two equations can be combined to yield the differential equation:
Assuming each atom liberates its 3 valence electrons, this means that there are 40 electrons present, which is one of the magic numbers noted above for sodium, and implies that these numbers are a reflection of the noble gases.
Assuming an outdoor temperature of and an indoor temperature of, the above equation gives ( when temperatures are converted to Kelvin or Rankine ) a COP of 35. 98, or an EER of 122. 69.
NOTE: Assuming a resonance equation of F = 1 /( 2 x Pi x sqrt ( L x C ) ) I believe the above math needs reviewed.
1.989 seconds.