*" Assuming the RHP of the combatants to be equal, there are many instances of fitness pay-off imbalances between holder and attacker which should weight the dispute outcome in favour of one or other opponent by allowing it a greater expendable fitness budget.

Assuming that the visible material makes up only a small part of the cluster is the most straightforward way of accounting for this.

Assuming that X makes the first move every time:

Assuming that X makes the first move every time:

Assuming that the connection is reliable makes it possible to eliminate error-checking and unnecessary synchronization steps, achieving both ease of implementation and improved performance.

Assuming that the woman is Shephard's mate, Charlie makes chalk marks which indicate that he likely was a married man with children before he was frozen.

Assuming it does, a full demand schedule can be deduced as the price of one good fluctuates.

Assuming the demand for labor to be a given monotonically decreasing function of the real wage rate, the theory then predicted that, in the long-run equilibrium of the system, labor supply ( i. e. population ) will be equated to the numbers demanded at the subsistence wage.

Assuming all consumers are identical ( except for location ) and consumers are evenly dispersed along the line, both the firms and consumer respond to changes in demand and the economic environment.

Assuming energy demand does not change, this reduces the carbon dioxide emitted.

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 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 no loss of time when moving a car from one station to another, the longest stage on the assembly line determines the throughput ( 20 minutes for the engine installation ) so a car can be produced every 20 minutes, once the first car taking 35 minutes has been produced.

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

Assuming the Axiom of choice, is regular for each α.

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 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 the stones were used for chiefly houses, it can be argued that Chamorro society was becoming more stratified, either from population growth or the arrival of new people.

Assuming otherwise as is done above will lead to lower GWPs for other gases than a more detailed approach would.

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 the data is reliable, reasons for falling growth rates and fertility rates probably include late marriage, urbanization, limited housing space, and the expectation that women would participate equally in terms of work hours in the labor force.

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 both sidebands are symmetric, which is the case for a normal AM signal, no information is lost in the process.

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 the liquid is an ideal solution, and using the formula for the chemical potential of a gas, gives:

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

Assuming that the vice president of the Executive Yuan would be third in line for the presidency, the current line of succession is:

Assuming that in the context cheese means some type of dairy product, the Euler diagram has the cheese zone entirely contained within the dairy-product zone — there is no zone for ( non-existent ) non-dairy cheese.

Assuming that the ion and electron saturation current is the same for each probe, then the formulas for current to each of the probe tips take the form

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

Assuming normal hearing, the results of this cross-sensory test show the relative strength of the sense of taste in relation to the loudness of the auditory stimulus.

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.

Assuming that the air is incompressible, the rate of flow ( e. g. liters or gallons per minute ) must be constant within each streamtube since matter is not created or destroyed.

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 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 gamma-ray explosion to be spherical, the energy output of GRB 080319B would be within a factor of two of the rest-mass energy of the Sun ( the energy which would be released were the Sun to be converted entirely into radiation ).

Assuming the curve is smooth within a neighborhood, this generalizes to indefinite integrals:

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 that an information source produces random variables with an associated probability density function, the probability that the random variable falls within a particular quantization interval is given by

Assuming the series is set within the same continuity as Masterforce, it is never explained why they resemble the original Seacons.

Assuming an application used by a hospital needs to map the data element concepts to the UDEF, the last name and first name ( within UDEF you will find Family Name and Given Name under the UDEF property Name ) of several people that are likely to appear on a medical record that could include the following example data element concepts –