If Mr. Kennan is sometimes a little somber in his appraisals, if his analysis of how Western diplomacy met the challenge of an era of great wars and social revolutions is often critical and pessimistic -- well, the record itself is not too encouraging.

If integration via the bus is achieved, the data warehouse, through its two data marts, will not only be able to deliver the specific information that the individual data marts are designed to do, in this example either " Sales " or " Production " information, but can deliver integrated Sales-Production information, which, often, is of critical business value.

If Lorentz symmetry can cease to be a fundamental symmetry at Planck scale or at some other fundamental scale, it is conceivable that particles with a critical speed different from the speed of light be the ultimate constituents of matter.

If the system had no means of recovery, it could display the alert, even in systems with numerous critical flaws.

In November of the same year, the band's first album with Jeepster, ' If You're Feeling Sinister ' was released to critical acclaim.

If either the form or the parameters of F ( x ) are determined from the data X < sub > i </ sub > the critical values determined in this way are invalid.

If one chooses a critical value of the test statistic D < sub > α </ sub > such that P ( D < sub > n </ sub > > D < sub > α </ sub >)

If the refractive index is lower on the other side of the boundary and the incident angle is greater than the critical angle, no light can pass through and all of the light is reflected.

If the incident ray is precisely at the critical angle, the refracted ray is tangent to the boundary at the point of incidence.

If for example, visible light were traveling through acrylic glass ( with an index of refraction of 1. 50 ) into air ( with an index of refraction of 1. 00 ), the calculation would give the critical angle for light from acrylic into air, which is

One contemporary writer critical of the scuttling of the Terrible wrote that " she made no more water than she did before battle ", and, more acidly, " If an able officer had been at the head of the fleet, the Terrible would not have been destroyed.

If two processes attempt to enter a critical section at the same time, the algorithm will allow only one process in, based on whose turn it is.

If one process is already in the critical section, the other process will busy wait for the first process to exit.

If a critical section is long, then the system clock will drift every time a critical section is executed since the timer interrupt is no longer serviced, so tracking time is impossible during the critical section.

If, for example, developers are rewarded by the number of bugs they fix, they will naturally fix the easiest bugs first — leaving the hardest, and probably most risky or critical, to the last possible moment.

If, however, the medium of exchange function is more critical, new money may be more freely issued regardless of impact on either inflation or well-being.

If f is a differentiable function on R ( or an open interval ) and x is a local maximum or a local minimum of f, then the derivative of f at x is zero ; points where are called critical points or stationary points ( and the value of f at x is called a critical value ).

If the function is differentiable, the minima and maxima can only occur at critical points or endpoints.

If there are some positive and some negative eigenvalues, then the critical point is a saddle point, and if none of these cases hold ( i. e., some of the eigenvalues are zero ) then the test is inconclusive.

If a crit is inflicted, a second roll is made on the appropriate critical table.

Zinn regularly included it in his lists of recommended readings, and after Barack Obama was elected President of the United States, Zinn wrote, " If Richard Hofstadter were adding to his book The American Political Tradition, in which he found both ' conservative ' and ' liberal ' presidents, both Democrats and Republicans, maintaining for dear life the two critical characteristics of the American system, nationalism and capitalism, Obama would fit the pattern.

If the list is a statistical sample, we call the resulting statistic a sample mean.

If elements in the sample space increase arithmetically, when placed in some order, then the median and arithmetic average are equal.

If the concentration of element or compound in a sample is too high for the detection range of the technique, it can simply be diluted in a pure solvent.

If the amount in the sample is below an instrument's range of measurement, the method of addition can be used.

If are independent and identically distributed random variables, each with a standard Cauchy distribution, then the sample mean has the same standard Cauchy distribution ( the sample median, which is not affected by extreme values, can be used as a measure of central tendency ).

If the degree of underrepresentation is small, the sample can be treated as a reasonable approximation to a random sample.

If entire segments of the population are excluded from a sample, then there are no adjustments that can produce estimates that are representative of the entire population.

If a sample of cobalt-60 atoms is magnetized so that they spin counterclockwise around some axis, the beta radiation resulting from their nuclear decay will be preferentially directed opposite that axis.

If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the " sample mean " () to distinguish it from the " population mean " ( or < sub > x </ sub >).

If an upregulated gene is observed by an abundance of mRNA on the northern blot the sample can then be sequenced to determine if the gene is known to researchers or if it is a novel finding.

If we assemble a deck of 52 playing cards with no jokers, and draw a single card from the deck, then the sample space is a 52-element set, as each card is a possible outcome.

If we do not alter the system, then the parameter λ is unchanged from measurement to measurement ; if, on the other hand, we modulate the system by replacing the sample with a more radioactive one, then the parameter λ would increase.

If the parameter " dopefish " is added to the executable, a sample of burping is heard and Scott's Mystical Head is seen spinning in circles on the screen.

If subgroups ' variances differ significantly and the data need to be stratified by variance, then there is no way to make the subgroup sample sizes proportional ( at the same time ) to the subgroups ' sizes within the total population.

If the tip is moved across the sample in the x-y plane, the changes in surface height and density of states cause changes in current.

If the beam enters the sample perpendicular to the surface, then the activated region is uniform about the axis of the beam and a certain number of electrons " escape " from within the sample.

If all of the are drawn from the same distribution and the integer weights indicate frequency of occurrence in the sample, then the unbiased estimator of the weighted population variance is given by

If the collected sample contains too few sperm cells to likely have a spontaneous fertilization, intracytoplasmic sperm injection can be performed.

If it is desired to sample more of the exponential electron portion of the characteristic, an asymmetric double probe may be used, with one electrode larger than the other.

If the patient is infected with H. pylori, the breath sample will contain radioactive carbon dioxide.