When the messenger had finished, the French general reportedly announced " Nous n ' avons plus de flotte: eh bien.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When the functions J < sub > n </ sub >( x ) are plotted on the same graph, though, none of the zeros seem to coincide for different values of n except for the zero at x = 0.

When n > 0, it can be shown that

When a system, for example, n moles of a gas of volume V at pressure p and temperature T, is created or brought to its present state from absolute zero, energy must be supplied equal to its internal energy U plus pV, where pV is the work done in pushing against the ambient ( atmospheric ) pressure.

When all three fatty acids have the formula C < sub > n </ sub > H < sub >( 2n + 1 )</ sub > CO < sub > 2 </ sub > H, the resulting fat is called " saturated ".

When moving from a denser medium into a less dense one ( i. e., n < sub > 1 </ sub > > n < sub > 2 </ sub >), above an incidence angle known as the critical angle, all light is reflected and R < sub > s </ sub > = R < sub > p </ sub > = 1.

When this approach is used, the hash function must be chosen so that the result has fairly uniform distribution between 0 and n − 1, for any value of n that may occur in the application.

When Powell showed illustrations of various animals, both alive and extinct, to natives, they generally suggested that the Diplodocus was the closest match to " n ' yamala ".

This set, consisting of the integers congruent to a modulo n, is called the congruence class or residue class or simply residue of the integer a, modulo n. When the modulus n is known from the context, that residue may also be denoted.

When n ≠ 0, has n elements, and can be written as:

When talking about null sets in Euclidean n-space R < sup > n </ sup >, it is usually understood that the measure being used is Lebesgue measure.

When n people have to communicate among themselves, as n increases, their output decreases and when it becomes negative the project is delayed further with every person added.

When viewed in this way the numbers x < sub > 1 </ sub >, ..., x < sub > n </ sub >, and y < sub > 1 </ sub >, ..., y < sub > n </ sub > are the components of x and y with respect to an orthonormal basis of V.

When n = 3 the Cauchy – Schwarz inequality can also be deduced from Lagrange's identity, which takes the form

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

When the ball becomes out of play, play is restarted by one of eight | deadurl = no

When the critical stress, F < sub > cr </ sub > ( F < sub > cr </ sub > =

When b is zero and A ≠ 0 the origin is an equilibrium ( or singular ) point of the flow, that is, if x < sub > 0 </ sub > = 0, then the orbit remains there.

When b = 0, the eigenvalues of A determine the structure of the phase space.

When this is stored using the IEEE 754 encoding, this becomes the significand s with e = 1 ( where s is assumed to have a binary point to the right of the first bit ) after a left-adjustment ( or normalization ) during which leading or trailing zeros are truncated should there be any.

When another examination was passed, and the other Adepts consented, the Aspirant attained the Grade of Adeptus Minor ( 5 = 6 ).

When Robinson met McDowell later in a restaurant, she quipped, " with enemies like McDowell | archivedate = 15 February 2008

When integrated over the radius, this implies that for b = 1, the total number of stars is proportional to r < sup > 2 </ sup >.

When the speed of the runner is equal to the initial jet velocity, the torque is zero ( i. e. when u = V < sub > i </ sub >, then T = 0 ).

When well-regulated mechanical clocks became widespread in the early 19th century ,| publisher = Canonical Ltd.

When acoustic ( calibrated microphone ) measurements are being referred to, then the units used will be dB SPL ( sound pressure level ) referenced to 20 micropascals = 0 dB SPL.

When groove spacing is less than half the wavelength of light, the only present order is the m = 0 order.

When power gain is calculated using voltage instead of power, making the substitution ( P = V < sup > 2 </ sup >/ R ), the formula is:

When D = 1, it means that the acknowledgement has end to end significance and must take place only after the remote DTE has acknowledged receipt of the data.

When D = 0, the network is permitted ( but not required ) to acknowledge before the remote DTE has acknowledged or even received the data.

Let ( S, f ) be a game with n players, where S < sub > i </ sub > is the strategy set for player i, S = S < sub > 1 </ sub > × S < sub > 2 </ sub > ... × S < sub > n </ sub > is the set of strategy profiles and f =( f < sub > 1 </ sub >( x ), ..., f < sub > n </ sub >( x )) is the payoff function for x S. Let x < sub > i </ sub > be a strategy profile of player i and x < sub >- i </ sub > be a strategy profile of all players except for player i. When each player i < nowiki >

When gametes first fuse at fertilisation, the chromosomes donated by the parents are combined, and, in humans, this means that ( 2²² ) ² = 17. 6x10 < sup > 12 </ sup > chromosomally different zygotes are possible for the non-sex chromosomes, even assuming no chromosomal crossover.

When divided by 2 < sup > n </ sup >, the nth row of Pascal's triangle becomes the binomial distribution in the symmetric case where p = 1 / 2.

When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

The island of Sal receives an average of 0. 0mm in May, When the rain come, if it comes, can be very strong.

When U and V are two independent normally distributed random variables with expected value 0 and variance 1, then the ratio U / V has the standard Cauchy distribution.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When the eigenvalues of J are not in the unit circle, the dynamics near the fixed point x < sub > 0 </ sub > of F is called hyperbolic and when the eigenvalues are on the unit circle and complex, the dynamics is called elliptic.

When the eccentricity is 0 the foci coincide with the center point and the figure is a circle.

When Freenet 0. 5 ( FCon or Freenet Classic Opennet ) forked into Freenet 0. 7, most users moved to Freenet 0. 7.

When that interval is 0. 5 / T, the applicable reconstruction formula is the Whittaker – Shannon interpolation formula.

When the World Cup began, Banks was in goal as England got through their group containing Uruguay, Mexico and France, drawing 0 – 0 with the former and clinching 2 – 0 victories over the latter.

When considered over a countable language, the completeness and compactness theorems are equivalent to each other and equivalent to a weak form of choice known as weak König's lemma, with the equivalence provable in RCA < sub > 0 </ sub > ( a second-order variant of Peano arithmetic restricted to induction over Σ < sup > 0 </ sup >< sub style =" margin-left :- 0. 6em "> 1 </ sub > formulas ).

When people are asked to make up a random-looking sequence of coin tosses, they tend to make sequences where the proportion of heads to tails stays closer to 0. 5 in any short segment than would be predicted by chance ( insensitivity to sample size ); Kahneman and Tversky interpret this to mean that people believe short sequences of random events should be representative of longer ones.

When inspired air contains CO levels as low as 0. 02 %, headache and nausea occur ; if the CO concentration is increased to 0. 1 %, unconsciousness will follow.