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 this is a reference to Mick, this is a slight discontinuity with Skinny Dip, in which he lists his number of ex-wives as six: the five mentioned in Skin Tight, plus Christina.

Assuming for convenience that a is horizontal, corresponding to the angle a with respect to some suitable reference direction, the dividing circle will be in a vertical plane.

Assuming the identity of G. Gordon Godfrey ( a reference to Marvel's J. Jonah Jameson ), he starts a hate-campaign toward the superheroes that proves to be very effective, riling the public, ultimately leading to a presidential decision to outlaw any super-heroic activity.

Assuming perfect combustion conditions, such as complete combustion under adiabatic conditions ( i. e., no heat loss or gain ), the adiabatic combustion temperature can be determined.

( Assuming the axiom of choice ), the following are equivalent.

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 a specific Nazi usage of the term " Vaterland " ( which in fact never existed ), the direct English translation " fatherland " featured in news reports associated with Nazi Germany and in domestic anti-Nazi propaganda during World War II.

), the total human biomass is the average weight multiplied by the current human population of approximately 6. 5 billion ( see, e. g., ): Assuming 60 – 70 kg to be the average human mass ( approximately 130 – 150 lb on the average ), an approximation of total global human mass of between 390 billion ( 390 × 10 < sup > 9 </ sup >) and 455 billion kg ( between 845 billion and 975 billion lb, or about 423 million – 488 million short tons ).

For instance, raising the note B to B is equal to the note C. Assuming all such equivalences, the complete chromatic scale adds five additional pitch classes to the original seven lettered notes for a total of 12 ( the 13th note completing the octave ), each separated by a half-step.

Assuming that a TNT explosion releases 1, 000 small ( thermochemical ) calories per gram ( 4. 2 kJ / g ), one tonne of TNT is equivalent to 4. 2 gigajoules.

* 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 a full-scale sine wave signal ( that is, the quantizer is designed such that it has the same minimum and maximum values as the input signal ), the quantization noise approximates a sawtooth wave with peak-to-peak amplitude of one quantization level and uniform distribution.

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

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 birthdays are equally likely to happen on each of the 365 days of the year, the probability, P ( 2 ), that Person 2 has a different birthday than Person 1 is 364 / 365.

Assuming zero empirical mean ( the empirical mean of the distribution has been subtracted from the data set ), the principal component w < sub > 1 </ sub > of a data set X can be defined as:

Assuming the identity of " John Smith " ( the English equivalent of his natural German name ), Skull decided that he would reinvent himself and his quest for absolute power as a means to celebrate his cheating death.

Assuming the responsibility of mediator between the two sides, and with Erasmus ' willing participation ( the robot being left as the leader and controlling-force of the thinking machines ), Duncan does something similar to Bene-Gesserit Sharing with the robot ; possibly along with what seems to be a physical-bonding ( similar to what Leto II did with the sandtrout ) into something of a human-machine hybrid.

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 all of the voters vote sincerely ( strategic voting is discussed below ), the results would be as follows, by percentage:

If the tested number n is composite, the strong liars a coprime to n are contained in a proper subgroup of the group, which means that if we test all a from a set which generates, one of them must be a witness for the compositeness of n. Assuming the truth of the generalized Riemann hypothesis ( GRH ), it is known that the group is generated by its elements smaller than O (( log n )< sup > 2 </ sup >), which was already noted by Miller.

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

Assuming the fulfillment of certain technical criteria ( such as the sentencing of the accused whose punishment was not yet executed ), wherever it is possible to punish the conspirators with exactly the same punishment through which they had planned to harm their fellow, the court carries out this direct reciprocal justice ( including when the punishment constitutes the death penalty ).

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 dark energy remains constant ( an unchanging cosmological constant ), so that the expansion rate of the universe continues to accelerate, there is a " future visibility limit " beyond which objects will never enter our observable universe at any time in the infinite future, because light emitted by objects outside that limit can never reach points that expand away from us at less than the speed of light.

Assuming the title of samdech ( prince ), Sihanouk explained that this action was necessary in order to give him a free hand to engage in politics.

* Assuming the shadow position ( with any handhold ), the leader leads the follower into chicken walks.

Assuming a sample of 27 animals — 8 cats, 6 dogs, and 13 rabbits, the resulting confusion matrix could look like the table below:

Assuming the appropriate gravity of the charge, and all other things being equal, a guilty plea to the same charge would cause the reverse effect: An opponent at trial could introduce the plea, over a hearsay objection, as evidence to establish a certain fact.

Assuming for example the simplest and the most physical spherical Gaussian distributions for the charge and the mass separately:

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

Assuming that all the particles start from the origin at the initial time t = 0, the diffusion equation has the solution

Expansion of U. S. copyright law ( Assuming authors create their works at age 35 and live for seventy years )

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 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.

Statistical hypothesis tests answer the question Assuming that the null hypothesis is true, what is the probability of observing a value for the test statistic that is at least as extreme as the value that was actually observed ?.

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 a spherically symmetrical planet, the strength of this field at any given point is proportional to the planetary body's mass and inversely proportional to the square of the distance from the center of the body.

Assuming Odo commissioned the tapestry, it was probably designed and constructed in England by Anglo-Saxon artists ( Odo's main power base being by then in Kent ); the Latin text contains hints of Anglo-Saxon ; other embroideries originate from England at this time ; and the vegetable dyes can be found in cloth traditionally woven there.

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 that the second particle is at rest before the collision, the angles of deflection of the two particles, and, are related to the angle of deflection in the system of the center of mass by

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

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 bulk of the Austrian army was deployed so as to cover their bridgehead at Landshut and the main highway to Vienna, on 20 April 1809, Napoleon launched most of his army in an attack to the Southwest.

Assuming that the relic anti-neutrino is at rest, the energy of the incident cosmic neutrino has to be:

Assuming u and its derivatives vanish at large r, we may perform a continuous Fourier transform in spatial coordinates:

Assuming that the firearm and projectile are both at rest before firing, then their total momentum is zero.

Assuming the gun and shooter are at rest, the force on the bullet is equal to that on the gun-shooter.