( Assuming the league would have implemented a tiebreaker, it would be assumed Cleveland would have been given the title anyway, seeing that the Bulldogs played more games.

Assuming that the online casino is using an appropriately programmed random number generator, table games like blackjack have an established house edge.

Assuming that the leaders in the social hierarchy are perfectly conformed to the ruler, who is perfectly submissive to Heaven, conformity in speech and behaviour is expected of all people.

Assuming the only safe place for power is in many hands, social credit is a distributive philosophy, and its policy is to disperse power to individuals.

Assuming an accurate CBA, changing the status quo by implementing the alternative with the lowest cost-benefit ratio can improve pareto efficiency .. An analyst using CBA should recognize that perfect evaluation of all present and future costs and benefits is difficult, and while CBA can offer a well-educated estimate of the best alternative, perfection in terms of economic efficiency and social welfare are not guaranteed.

Assuming that we don ’ t have a commitment to one ' set theory ' ( all toposes are in some sense equally set theories for some intuitionistic logic ) it is possible to state everything relative to some given set theory which acts as a base topos.

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.

Assuming that Ictis, Mictis and Corbulo are the same, Diodorus appears to have read Timaeus, who must have read Pytheas, whom Polybius also read.

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 a sinusoidal wave moving at a fixed wave speed, wavelength is inversely proportional to frequency: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.

Assuming that the tankage mass triples, we have a m < sub > 1 </ sub > of 31, 500 + 6, 800 = 38, 300 kg, and since we have fixed at 119, 900 kg, we get

Assuming the field is weak and the motion of the electron non-relativistic, we have the total energy of the electron approximately equal to its rest energy, and the momentum going over to the classical value,

Assuming Stoddart is being truthful, Verstappen may well have won this race had he not spun.

Assuming that for the particle's actual velocity, we have that.

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

Assuming colocation with the biblical Mount Zion, its southern section would have been walled at the beginning of the 2nd millennium BCE, in around 1850 BCE, by Canaanites who established a settlement there ( or in the vicinity ) named Jebus.

Assuming a yield for a 10 year-old tree is a reliable conservative estimate, though some exceptional specimens of that age have yielded.

Assuming that the initial " N " may have been intended to stand as a negation, the name would mean " without order " or " no order ".

Assuming that Sewell is counted as the first Prime Minister, thirty-eight people have held the office since it was established.

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 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 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 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 the medium is linear, isotropic, and homogeneous ( see polarization density ), we have the constitutive equation:

( Assuming, in this case, that vehicles only have one engine.

Assuming the validity of Bell's theorem, any deterministic hidden-variable theory which is consistent with quantum mechanics would have to be non-local, maintaining the existence of instantaneous or faster-than-light relations ( correlations ) between physically separated entities.

Assuming arrows are produced by labour only, with man-hours per arrow, we have:

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 a Gaussian distribution of particle positions and impulses, a charged particle beam ( or a bunch of the beam ) is characterized by

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

Assuming linear variation of glaze and decoration with time, and that these variables are independent,

Assuming that the transcriptions are not intended to be precise, only 11 of the 26 — Bravo, Echo, Hotel, Juliet ( t ), Kilo, Mike, Papa, Quebec, Romeo, Whiskey, and Zulu — are given English pronunciations by all these agencies, though not always the same English pronunciations.

Assuming that a certain percentage of these representations are in fact Tages, there appears to be no standard way to depict him.

Assuming these conditions the first law is rewritten as:

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 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 that the natural transformations for the adjunctions are given, all of these formulations allow for an explicit construction of the necessary data, and no choice principles are needed.

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 that these various words and uses should refer to a single underlying concept, St. Augustine renders it as clara notitia cum laude, " brilliant celebrity with praise ".

Assuming these Euclidean vectors are represented in column form, the equation can be equivalently expressed as a matrix-vector multiplication:

Assuming that ethnic groups can be defined as a group of people who band together to protect material goods, while satisfying the need to feel a part of a group, violence resulting from ethnicity can be a result of a violation of either of these.

Assuming the source to be " rotationally invariant " ( to produce all possible states λ with equal probability ), the probability of a given type of coincidence will clearly be proportional to the corresponding area, and these areas will vary linearly with the angle between a and b. ( To see this, think of an orange and its segments.

Assuming these are in general position, i. e. four distinct intersections, we get another interpretation of the linear system as the conics passing through the four given points ( note that the codimension four here matches the dimension, one, in the five-dimensional space of conics ).

Assuming a sequence is a valid derivation to begin with, it can be extended using these rules.

Assuming there is no mission compromise, these teams typically remain in position for up to 5 days, as determined by the available food and water supplies.

Assuming that these documents are authentic, the attachment of these obligations to the King of England to ownership of land in Cornwall suggests that the area was under his direct rule and implies that the legal and administrative relationship between the king and his subjects was the same there as elsewhere in his kingdom.

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 that the atmosphere was composed of these gases, during the 1940s and 1950s he constructed a model of the structure of these planets.

" Assuming they were present, these feathers would have been used for insulation, and possibly also for brooding eggs.