For example, to move ( as the score requires ) from the lowest F-major register up to a barely audible N minor in four seconds, not skipping, at the same time, even one of the 407 fingerings, seems a feat too absurd to consider, and it is to the flautist's credit that he remained silent throughout the passage.

For, the letters associated with those numbers are K, L, M, N, O, ..., respectively.

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

For example, in the authoritative modern monograph about the creed, J. N. D.

For N to be constant for all values of w, a ' tan w '/ a tan w must also be constant.

For example, the division example above may also be interpreted as a partial binary function from Z and N to Q, where N is the set of all natural numbers, including zero.

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

For example, N ' Djamena records a maximum annual average rainfall of, while Ouaddaï Prefecture receives just a bit less.

For each specific consistent effectively represented axiomatic system for the natural numbers, such as Peano arithmetic, there exists a constant N such that no bit of Ω after the Nth can be proven to be one or zero within that system.

For instance, it is visible from Cancun or any other place at latitude 25 ° N or less at around 10 pm at the end of April.

For example, the surface tension of distilled water is 72 dyn / cm at 25 ° C ( 77 ° F ); in SI units this is 72 x 10 < sup >− 3 </ sup > N / m or 72 mN / m.

For even N, notice that the Nyquist component is handled specially.

For instance, if all of the coefficients were equal to unity, a so-called boxcar function, then it would implement a low-pass filter with a low frequency gain of N + 1 and a frequency response given by the sinc function.

For example, in lead azide, Pb ( N < sub > 3 </ sub >)< sub > 2 </ sub >, the nitrogen atoms are already bonded to one another, so decomposition into Pb and N < sub > 2 </ sub >.< sup ></ sup > is relatively easy.

For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).

For N = 8 this results in the solution shown above.

For example N = 4 Super Yang Mills Theory requires an SU ( N ) gauge group.

For instance, suppose that each input is an integer z in the range 0 to N − 1, and the output must be an integer h in the range 0 to n − 1, where N is much larger than n. Then the hash function could be h

For example, the equation y = x corresponds to the set of all the points on the plane whose x-coordinate and y-coordinate are equal.

For example, the parent function y = 1 / x has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote, and occupies either the 1st and 3rd or 2nd and 4th quadrant.

For example, P might be the circle with radius 1 and center ( 0, 0 ): P =

( For one particle, J = L + S.

; Associativity: For all a, b and c in A, the equation ( a • b ) • c = a • ( b • c ) holds.

; Commutativity: For all a, b in A, a • b = b • a.

For example, the function has a horizontal asymptote at y = 0 when x tends both to −∞ and +∞ because, respectively,

For example, for n = 5:

For positive values of a and b, the binomial theorem with n = 2 is the geometrically evident fact that a square of side can be cut into a square of side a, a square of side b, and two rectangles with sides a and b. With n = 3, the theorem states that a cube of side can be cut into a cube of side a, a cube of side b, three a × a × b rectangular boxes, and three a × b × b rectangular boxes.

For integer order α = n, J < sub > n </ sub > is often defined via a Laurent series for a generating function:

For example, the formula a AND b is satisfiable because one can find the values a = TRUE and b = TRUE, which make ( a AND b ) = TRUE.

For r = 0,

For example, the CIA World Factbook uses the word in its " Country name " field to refer to " a wide variety of dependencies, areas of special sovereignty, uninhabited islands, and other entities in addition to the traditional countries or independent states ".< sup id = Note_1 >

For example, a poker hand can be described as a 5-combination ( k = 5 ) of cards from a 52 card deck ( n = 52 ).

For example, after 10 rounds at 1 unit per round, the standard deviation will be 2 x 1 x sqrt ( 10 x 18 / 38 x 20 / 38 ) =

For example, the set A =

For example, a purely dodecahedral virus has a T-number of 1 ( usually written, T = 1 ) and a truncated icosahedron is assigned T = 3.

For example, a circle of radius 2 may be described as the set of all points whose coordinates x and y satisfy the equation x < sup > 2 </ sup > + y < sup > 2 </ sup > = 4.

For example, if we suppose at t = 0 the extension is a unit distance ( x = 1 ), and the particle is not moving ( dx / dt = 0 ).

For the best results, feed this level to cattle 3 to 5 days preceding shipment and/or 3 to 5 days following their arrival in your feed lot.

( 3 ) For anionics, these micelles appear to be roughly spherical assemblages in which the hydrocarbon tails come together so that the polar groups ( the ionized ends ) face outward towards the aqueous continuous phase.

For example, the marked susceptibility of the monkey to respiratory infection might be related to its delicate, long alveolar ducts and short, large bronchioles situated within a parenchyma entirely lacking in protective supportive tissue barriers such as those found in types 1, and 3.

For example, arrow 17 in Figure 3 portrays the proximal radial epiphysis for boy 34, whereas the same epiphysis for girl 2 is portrayed by arrow 18 in Figure 4.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

For Yokuts, I tabulated these 71 items in five columns, according as they were expressed by 1, 2, 3, 4, and more than 4 stems.

For example Test 3, E 1 refers to a specimen which has been washed by procedure `` 3 ( '' ( at 160-degrees-F ) for a total of 60 minutes in the machine, has been dried in a tumble dryer by procedure `` E '' and has been subjected to restorative forces on the Tension Presser by procedure `` 1 ''.

For hundreds of years, the evidence available consisted of ( 1 ) the captain's fragmentary journal, ( 2 ) a highly prejudiced account by one of the survivors, ( 3 ) a note found in a dead man's desk on board, and ( 4 ) several second-hand reports.

`` For God so loved the world, that he gave his only begotten Son, that whosoever believeth in Him should not perish, but have everlasting life '' ( John 3::

For example, the 2nd Academy Awards presented on April 3, 1930, recognized films that were released between August 1, 1928 and July 31, 1929.

For example Connecticut applies the following standard to review unpreserved claims: 1. the record is adequate to review the alleged claim of error ; 2. the claim is of constitutional magnitude alleging the violation of a fundamental right ; 3. the alleged constitutional violation clearly exists and clearly deprived the defendant of a fair trial ; 4. if subject to harmless error analysis, the state has failed to demonstrate harmlessness of the alleged constitutional violation beyond a reasonable doubt.

For a 256-bit block, the first row is unchanged and the shifting for the second, third and fourth row is 1 byte, 3 bytes and 4 bytes respectively — this change only applies for the Rijndael cipher when used with a 256-bit block, as AES does not use 256-bit blocks.

For example, if the water is 25 ft ( 8 m ) deep, and the anchor roller is 3 ft ( 1 m ) above the water, the scope is the ratio between the amount of cable let out and 28 ft ( 9 m ).

For some elements, allotropes have different molecular formulae which can persist in different phases – for example, two allotropes of oxygen ( dioxygen, O < sub > 2 </ sub > and ozone, O < sub > 3 </ sub >), can both exist in the solid, liquid and gaseous states.

For example, those who drank over 3 units a day had nearly twice the risk of a hip fracture.

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

For example, n < sub > D </ sub > is measured at 589. 3 nm:

For small values of m like 1, 2, or 3, the Ackermann function grows relatively slowly with respect to n ( at most exponentially ).

For m ≥ 4, however, it grows much more quickly ; even A ( 4, 2 ) is about 2, and the decimal expansion of A ( 4, 3 ) is very large by any typical measure.

For example, the proper divisors of 6 are 1, 2, and 3.

For 2012, the series will instead follow a 2-3 format with the higher seed playing the last 3 games ( as needed ) as home.

For example, a 3 kHz band can carry a telephone conversation whether that band is at baseband ( as in your POTS telephone line ) or modulated to some higher frequency.