The expected value of F is ( where n is the treatment sample size )

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

where X is the energy level corresponding to the principal quantum number n, type is a lower-case letter denoting the shape or subshell of the orbital and it corresponds to the angular quantum number l, and y is the number of electrons in that orbital.

The quantum number n first appeared in the Bohr model where it determines the radius of each circular electron orbit.

Within a shell where n is some integer n < sub > 0 </ sub >, ranges across all ( integer ) values satisfying the relation.

where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.

where < big ></ big > is the number of degrees of freedom divided by two, R is the universal gas constant and n is the number of moles in the system ( a constant ).

Lookup, insertion, and deletion all take O ( log n ) time in both the average and worst cases, where n is the number of nodes in the tree prior to the operation.

In Analytical Geometry a section of a line can be given by the formula where ( c, d )&( e, f ) are the endpoints of the line & m: n is the ratio of division

where n < sub > d </ sub >, n < sub > F </ sub > and n < sub > C </ sub > are the refractive indices of the material at the wavelengths of the Fraunhofer d -, F-and C-spectral lines ( 587. 6 nm, 486. 1 nm and 656. 3 nm respectively ).

where m and n are nonnegative integers with, is the azimuthal angle in radians, and is the normalized radial distance.

The fundamental theorem of arithmetic states that any positive integer n can be represented uniquely as a product of powers of primes: where p < sub > 1 </ sub > < p < sub > 2 </ sub > < ... < p < sub > k </ sub > are primes and the a < sub > j </ sub > are positive integers.

Subsequently, the accelerative force on any given ion is controlled by the electrostatic equation, where n is the ionisation state of the ion, and e is the fundamental electric charge.

where n > m > 0 are integers and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

He also offers a conversion table ( see Cohen, 1988, p. 283 ) for eta squared ( η < sup > 2 </ sup >) where 0. 0099 constitutes a small effect, 0. 0588 a medium effect and 0. 1379 a large effect.

Reactions of acids are often generalized in the form HA H < sup >+</ sup > + A < sup >−</ sup >, where HA represents the acid and A < sup >−</ sup > is the conjugate base.

The numerical value of K < sub > a </ sub > is equal to the concentration of the products divided by the concentration of the reactants, where the reactant is the acid ( HA ) and the products are the conjugate base and H < sup >+</ sup >.

Because the range of possible values for K < sub > a </ sub > spans many orders of magnitude, a more manageable constant, pK < sub > a </ sub > is more frequently used, where pK < sub > a </ sub >

functions as real combinations of spherical harmonics Y < sub > lm </ sub >( θ, φ ) ( where l and m are quantum numbers ).

It lacks the NH < sub > 2 </ sub > group because of the cyclization of the side-chain and is known as an imino acid ; it falls under the category of special structured amino acids .</ ref > where R is an organic substituent known as a " side-chain "); often the term " amino acid " is used to refer specifically to these.

½ ( pKa < sub > 1 </ sub > + pKa < sub > R </ sub >), where pKa < sub > R </ sub > is the side-chain pKa.

## < tt > SubBytes </ tt >— a non-linear substitution step where each byte is replaced with another according to a lookup table.

## < tt > ShiftRows </ tt >— a transposition step where each row of the state is shifted cyclically a certain number of steps.

The < tt > MixColumns </ tt > function takes four bytes as input and outputs four bytes, where each input byte affects all four output bytes.

Class 2, stations operating on clear channels are required to cease operation or operate under nighttime restrictions beginning either at local sunset ( for daytime class 2, stations ) or sunset at the location of the dominant class 1, station where located west of the class 2, station ( for limited-time class 2, stations ).

The radiation loss from the anode surface was computed according to Af where Af is the mean of the fourth powers of the temperatures Af and Af calculated analogously to equation ( 1 ).

Thus far, the cases which have come before the courts have involved only the issue of referral where the job is vacant due to a strike -- condition ( 1 ) in the Regulation of the Secretary.

This reduces to the relationship: Af, where Af is the intercept at zero thickness of the extrapolation of the slope indicated in eqn. ( 1 ), Af is the thickness of the coating equivalent to the rounding off of the knife tip, Af is a straight line first approximation of this roundness, and the other symbols are equivalent to those of eqn. ( 1 ).

The photocathode sensitivities S, phosphor efficiencies P, and anode potentials V of the individual stages shall be distinguished by means of subscripts 1, and 2, in the text, where required.

Curtis Allen Huff, 41, of 1630 Lake Av., Wilmette, was arrested yesterday on a suppressed federal warrant charging him with embezzling an undetermined amount of money from the First Federal Savings and Loan association, 1 S. Dearborn St., where he formerly was employed as an attorney.

His oracular shrine in Abae in Phocis, where he bore the toponymic epithet Abaeus (, Apollon Abaios ) was important enough to be consulted by Croesus ( Herodotus, 1. 46 ).

Cohen ( 1992 ) suggests effect sizes for various indexes, including ƒ ( where 0. 1 is a small effect, 0. 25 is a medium effect and 0. 4 is a large effect ).

Kournikova's forte has been doubles, where she has at times been the World No. 1 player.

This is particularly important for light, modern anchors designed to bury in the bottom, where ratios of 5 – 7 to 1 are common, whereas heavy anchors and moorings can use 3 to 1 or less.

Ammianus relates ( xvii. 1. 11 ) that much later the Emperor Julian undertook a punitive expedition against the Alemanni, who by then were in Alsace, and crossed the Main ( Latin Menus ), entering the forest, where the trails were blocked by felled trees.

In 1 December 1874, Alfonso issues the Sandhurst Manifesto where he sets the ideological basis of the Bourbonic Restoration.

where is the star's luminosity distance in parsecs, wherein 1 parsec is approximately 3. 2616 light-years.

where is 1 au, is the phase angle, the angle between the Sun – Body and Body – Observer lines.

The value of in the color code ranges from 0. 0 to 1. 0, where 0. 0 represents a fully transparent color, and 1. 0 represents a fully opaque color.

This geographic structure is foreshadowed in Acts 1: 8, where Jesus says " You shall be My witnesses both in Jerusalem ( chs.

In other words AVL tree is a binary search tree where the height of the left subtree differs from the height of the right subtree by at most 1 level, if it exceeds 1 level then rebalancing occurs.

Arizona had postseason victories over the St. Louis Cardinals ( 3 – 2 in the NLDS ) and the Atlanta Braves ( 4 – 1 in the NLCS ) to advance to the World Series where, in the wake of the September 11 terrorist attacks in New York City, they beat the three-time reigning champions, the New York Yankees, 4 to 3, to become the youngest expansion franchise to win the World Series ( in just their fourth season of play ).

Strabo ( 7. 2. 1, 4 and 7. 3. 1 ) states that the Cimbri still live on the peninsula ( Jutland ) where they always did, even though some of them liked to wander.