Assuming Ignatius ' view was the Apostolic teaching and practice, the line of succession was unbroken and passed through the four ancient Patriarchal sees ( those local churches known to be founded by apostles ), Rome, Jerusalem, Antioch and Alexandria.

Assuming the form of a five year old boy, Kabu poses as Sally's younger brother.

Assuming that the identification of Æthelweard as the brother of Ælfgifu is correct, his mother was the Æthelgifu whose company Eadwig enjoyed along with her daughter whilst escaping his coronation.

Assuming that the inscription on the James ossuary is genuine, the next question is whether " brother of Jesus " refers to Jesus, the founder of Christianity.

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 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 above are done one after another, minimum plane turnaround time is:

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 that the Atlantic multidecadal oscillation runs through a 70-year quasi-cycle ( after peaks in ≈ 1880 and ≈ 1950 ), its current warm phase is likely to peak during this decade.

Assuming an increase in output of during each year after the start of commercial production, RAND predicts the costs would decline to $ 35 – 48 per barrel ($ 220 – 300 / m < sup > 3 </ sup >) within 12 years.

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

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 a near free-recoil condition, and neglecting the gases ejected from the barrel, then immediately after firing, conservation of momentum requires that the total momentum of the firearm and projectile is the same as before, namely zero.

Assuming genetic drift is the only evolutionary force acting on an allele, after t generations in many replicated populations, starting with allele frequencies of p and q, the variance in allele frequency across those populations is

Assuming further for simplicity ( all arrows are lost after just one shot, so that they are circulating capital ), the absolute competitive prices of beavers and deer become:

Assuming victory, Haldimand pledged that after the war ended, the British government would restore the Mohawk to their lands as stated before the conflict started.

Example: Assuming that is a numeric variable, the assignment means that the content of the variable is doubled after the execution of the statement.

Assuming Vishnu's identity, he had taken the money from the bank, gone to Divya's place after party and attempted to rape Divya's cousin.

Assuming that the prophecy took place after Uzziah became sole regent in 768 / 767, Amos's prophecy can be dated to some time after that and some time before Jeroboam's death in 753 BC, with the earthquake two years after that.

Assuming a civilian disguise in order to travel incognito, Cobra Commander was shown unmasked for the first time in the comic series, though only after he had donned obscuring accessories such as sunglasses and a false mustache.

Assuming a constant rate of mutation, Luria hypothesized that if mutations occurred after and in response to exposure to the selective agent, the number of survivors would be distributed according to a Poisson distribution with the mean equal to the variance.

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 all references are to the same person, as some ( but by no means all ) of the Church fathers did, the earliest reference to him is the canonical Acts of the Apostles, this is his only appearance in the New Testament.

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.

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 the satellite is in free fall around the primary and that the tidal force is the only relevant term of the gravitational attraction of the primary.

Assuming that the heights are normally ( Gaussian ) distributed with some unknown mean and variance, the mean and variance can be estimated with MLE while only knowing the heights of some sample of the overall population.

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

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

Assuming q > 1 / 2 ( it is a real casino ) and he may only place bets at even odds, his best strategy is bold play: at each spin, he should bet the smallest amount such that if he wins he reaches his target immediately, and if he doesn't have enough for this, he should simply bet everything.

Assuming a court finds no contract, tax-payer is only liable for the fair market value of tax preparation services, which is not inflated up to account for the unusually large refund he enjoyed.

Assuming the dialectical interpretation, it argues that Snow's concept of " two cultures " is not only off the mark, it is a damaging and short-sighted viewpoint ; and that it has perhaps led to decades of unnecessary fence-building.

Assuming that the brain function is normal or only minimally impaired, ECMO is provided until the patient recovers or receives a long-term ventricular assist device as a bridge to cardiac transplantation.

Using the quasi-stationary equilibrium approximation, that is, Assuming that the system is only slightly non-equilibrium, we have

Assuming the graphics mode is unshifted, PETSCII has only uppercase letters in its powerup state, an up-arrow ( ↑ ) instead of a caret ( ^ ) in position $ 5E and a left-arrow ( ← ) instead of an underscore ( _ ) in position $ 5F.

Assuming a flow is bounded on one side only, and that a rectilinear flow passing over a stationary flat plate which lies parallel to the flow, the flow just upstream of the plate has a uniform velocity.

Assuming that he is the only one who knows about the money, Ray decides to take it without making it officially part of the estate, and does not tell anyone about it: he knows that if he made it a part of the estate, taxes would take most of the money.

Assuming that carfentanil and remifentanil were the only active constituents ( which has not been verified by the Russian military ), the primary acute toxic effect to the theatre victims would have been opioid-induced apnea ; in this case mechanical ventilation and / or treatment with opioid antagonists would have been life-saving for many or all victims.

* 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 that the roots of P ( x ) are distinct ( that is, P ( x ) is separable ), then P ( x ) is additive if and only if the set forms a group with the field addition.