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 n = 0, does not have zero elements ; rather, it is isomorphic to, since.

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 the early part of the gradient was flattened, either by using the gradient shown in Fig. 2 or by allowing the `` cone-sphere '' gradient to become established more slowly, Region 2 activity could sometimes be separated into two areas ( donors P. J. and R. S., Fig. 1 and E. M., Fig. 2 ).

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

When this water level has been reached, inject steam into the wheel until the temperature reaches that shown in Column B of Table 2.

When the Korean war began, on June 25, 1950, the anniversary of the day Custer had gone down fighting at the Little Big Horn and the day the regiment had assaulted the beachhead of Leyte during World War 2,, the 7th Cavalry was not in the best fighting condition.

When he became ill, the Alemanni claimed to have put a hex on him ( 78. 15. 2 ).

When the students were asked to comment on the accuracy of the test with a rating more than 40 % gave it the top mark of 5 out of 5, and the average rating was 4. 2.

When Abiathar was dismissed from the priesthood by King Solomon for having taken part in Adonijah's conspiracy against David, his life was spared because he had formerly borne the Ark ( 1 Kings 2: 26 ).

When the priests emerged from the holy place after placing the Ark there, the Temple was filled with a cloud, " for the glory of the Lord had filled the house of the Lord " ( 1 Kings 8: 10-11 ; 2 Chron.

When Solomon married Pharaoh's daughter, he caused her to dwell in a house outside Zion, as Zion was consecrated because of its containing the Ark ( 2 Chron.

" a Christian ( Minaah ) once asked Abbahu in a tone of mockery, whereupon he replied: " When you will be wrapped in darkness, for it says, ' Behold, darkness shall cover the earth, and gross darkness the nations ; then shall the Lord rise upon thee and His glory shall be seen on thee ' lx. 2 ," ( Sanhedrin 99a ).

When Alaska Natives enrolled in their regional corporations under the terms of the Alaska Native Claims Settlement Act of 1971 ( ANCSA ), the Aleut Corporation attracted only about 2, 000 enrolees who could prove a blood quantum of 1 / 4 or more Alaska Native ( including Aleut ).

When fully implemented, CAIR will reduce SO < sub > 2 </ sub > emissions in 28 eastern states and the District of Columbia by over 70 percent and NOx emissions by over 60 percent from 2003 levels.

When clouds are present, the loss rate of SO < sub > 2 </ sub > is faster than can be explained by gas phase chemistry alone.

* SVO — Save opportunity: When a pitcher 1 ) enters the game with a lead of three or fewer runs and pitches at least one inning, 2 ) enters the game with the potential tying run on base, at bat, or on deck, or 3 ) pitches three or more innings with a lead and is credited with a save by the official scorer

When short on time, 2 × 2 boxes ( created by a square of 9 dots ) is good for beginners, and 5 × 5 is good for experts.

When Phil Smith and Phil Mayfield jumped together from a Houston skyscraper on 18 January 1981, they became the first to attain the exclusive BASE numbers ( BASE # 1 and # 2, respectively ), having already jumped from an antenna, spans, and earthen objects.

When evaluating a coin, the following — often subjective — factors may be considered: 1 ) " eye appeal " or the aesthetic interest of the coin ; 2 ) dents on the rim ; 3 ) unsightly scratches or other blemishes on the surface of the coin ; 4 ) luster ; 5 ) toning ; 6 ) level of detail retained, where a coin with full details obviously is valued higher than one with worn details.

When the partial pressure of is reduced, for example when a can of soda is opened, the equilibrium for each of the forms of carbonate ( carbonate, bicarbonate, carbon dioxide, and carbonic acid ) shifts until the concentration of in the solution is equal to the solubility of CO < sub > 2 </ sub > at that temperature and pressure.

When applied to the simplest two-electron molecule, H < sub > 2 </ sub >, valence bond theory, even at the simplest Heitler-London approach, gives a much closer approximation to the bond energy, and it provides a much more accurate representation of the behavior of the electrons as chemical bonds are formed and broken.

When s < sup > 2 </ sup >− v < sup > 2 </ sup > is expanded using these expressions the result is