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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.
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Assuming and are
Assuming an adjustment to the July 1 to June 30 fiscal year, the required adjustment of the tax collection years and the towns involved are shown in Table 3.
:< u > The Copenhagen Interpretation </ u >: Assuming wave functions are not real, wave-function collapse is interpreted subjectively.
( Assuming the axiom of choice ), the following are equivalent.
Assuming that 100 engineers are needed to design a CPU and the project takes 4 years.
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 the above are done one after another, minimum plane turnaround time is:
Assuming that the six factors are present and Miranda applies, the statement will be subject to suppression unless the prosecution can demonstrate
Assuming that the six factors are present, the Miranda rule would apply unless the prosecution can establish that the statement falls within an exception to the Miranda rule.
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 hydrogen and oxygen are standard weights in this image ( as opposed to deuterium oxide ) the molecular mass should be 18. 01528 u.
Assuming there are no complications, the remaining portion of the first day's dose is then given.
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 enharmonicity, many accidentals will create equivalences between pitches that are written differently.
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 that an individual had no choice in who, when and where to come into being: How are the choices of existence determined by what he is?
* Assuming that not all possible choices are available to him: How capable is the individual to desire all choices available, in order to choose from among them?
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 both sidebands are symmetric, which is the case for a normal AM signal, no information is lost in the process.
Assuming Chavez was approximately 10 years old in 1979, that places the events of Debt of Honor to be in or near 2000, although the overall technology presented in the novel and its successive novels Executive Orders and Rainbow Six ( especially in regards to the sophistication of internet technology ) are more consistent with the mid-1990's.
Assuming that there are seven players on the field, and that a cup is in effect, this leaves four players to cover the rest of the field.
Assuming that the masses are constant, the virial G is one-half the time derivative of this moment of inertia
Assuming no high-grade obstruction or associated infection is found in the urinary tract, and symptoms are relatively mild, various nonsurgical measures can be used to encourage the passage of a stone.
Assuming that the routing tables are consistent, the simple algorithm of relaying packets to their destination's next hop thus suffices to deliver data anywhere in a network.
Assuming linear variation of glaze and decoration with time, and that these variables are independent,
* January 1 – Assuming that the copyright laws are not changed further, all works published in 1923 enter the public domain in the U. S., the first works to do so since the passage of the 1998 Sonny Bono Copyright Term Extension Act.
Assuming and normally
Assuming the player's optical pickup is in proper working order, crosstalk distortion normally does not occur during playback of CAV format Laser discs, as the rotational speed never varies.
Assuming that the magnitude of each component is uncorrelated and normally distributed with equal variance, then the overall wind speed ( vector magnitude ) will be characterized by a Rayleigh distribution.
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 and Gaussian
Assuming that the image has been pre-smoothed by Gaussian smoothing and a scale space representation at scale has been computed, we can require that the gradient magnitude of the scale space representation, which is equal to the first-order directional derivative in the-direction, should have its first order directional derivative in the-direction equal to zero
Assuming a Gaussian profile for the bleaching beam, the diffusion constant D can be simply calculated from:
Assuming a Gaussian distribution of particle positions and impulses, a charged particle beam ( or a bunch of the beam ) is characterized by
Assuming zero-mean Gaussian white noise, the frequency signal-noise snapshot model of the spatial covariance matrix is given by
Assuming for example the simplest and the most physical spherical Gaussian distributions for the charge and the mass separately:
Assuming and distributed
Assuming a uniform distribution of input signal values, the quantization noise is a uniformly distributed random signal with a peak-to-peak amplitude of one quantization level, making the amplitude ratio 2 < sup > n </ sup >/ 1.
Assuming that the hydrogen atoms are uniformly distributed throughout the galaxy, each line of sight through the galaxy will reveal a hydrogen line.
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 and with
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 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 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 that the rule is known, one can derive the function that is used above in the classical heat calculation with respect to pressure.
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.
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 the mark in question meets certain other standards of protectibility, it is protected from infringement on the grounds that other uses might confuse consumers as to the origin or nature of the goods once the mark has been associated with a particular supplier.
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 all atoms in a crystal vibrate with the same frequency ν, the average thermal energy can be estimated using the equipartition theorem as
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 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 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 student has read the case and can articulate the court's argument, the professor then asks whether the student agrees with the argument.
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 all projects require the same amount of up-front investment, the project with the highest IRR would be considered the best and undertaken first.
Assuming a perfect sphere with no terrain irregularity, the distance to horizon from a high altitude transmitter ( i. e., line of sight ) can readily be calculated.
Assuming that they should be destroyed, he made to smite the seven Fathers of the Dwarves with a great hammer, weeping as he did so.
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 Earth is a uniform sphere ( which is not correct, but is close enough to get an order-of-magnitude estimate ) with M
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.
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