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 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 > 1 is an integer 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.

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 >

These nodes are areas where the action potential is amplified using a high density of sodium ( Na < big >+</ big >) ions and is subsequently passed along the axon.

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.

where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

where E < sub > 0 </ sub > is an infinite negative constant.

The Battle of Qarqar is mentioned in extra-biblical records, and was perhaps at Apamea where Shalmaneser III of Assyria fought a great confederation of princes from Cilicia, Northern Syria, Israel, Ammon, and the tribes of the Syrian desert ( 853 BC ), including Ahab ( A-ha-ab-bu < sup > mat </ sup >) ( Adad -' idri ).

We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.

where p is a program in L < sub > 2 </ sub >.

( d ) A legal obedience, where a particular law requires the taking of an oath of allegiance by subject or alien alike.

Countries where ASL or a derivative of ASL is the national or a widespread language include Barbados, Belize, Benin, Bolivia, Botswana ( with BSL ), Burkina Faso, Burundi, Cameroon, Canada, the Central African Republic, Chad, Côte d ' Ivoire, the Democratic Republic of the Congo, the Dominican Republic, El Salvador, Gabon, Gambia, Ghana, Guinea, Guyana, Haiti, Honduras, Jamaica, Kenya ( minority use ), Liberia, Madagascar ( minority use ), Mali, Mauritania, Niger, Nigeria, Philippines ( L2 use ), Puerto Rico, Senegal, Sierra Leone, Trinidad and Tobago, Togo, and Zimbabwe ( with ZSL ).

An example from France was a flattering anagram for Cardinal Richelieu, comparing him to Hercules or at least one of his hands ( Hercules being a kingly symbol ), where " Armand de Richelieu " became " Ardue main d ' Hercule ".

Through Sven Markelius, Aalto became a member of the Congres Internationaux d ' Architecture Moderne ( CIAM ), attending the second congress in Frankfurt in 1929 and the fourth congress in Athens in 1933, where he established a close friendship with László Moholy-Nagy, Sigfried Giedion and Philip Morton Shand.

From about 1955 he started to work on sheaf theory and homological algebra, producing the influential " Tôhoku paper " ( Sur quelques points d ' algèbre homologique, published in 1957 ) where he introduced Abelian categories and applied their theory to show that sheaf cohomology can be defined as certain derived functors in this context.

For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.

Most modern assassinations have been committed either during a public performance or during transport, both because of weaker security and security lapses, such as with U. S. President John F. Kennedy and former Pakistani Prime Minister Benazir Bhutto, or as part of coups d ' état where security is either overwhelmed or completely removed, such as with Patrice Lumumba and likely Salvador Allende.

A member of the England team who won the World Cup and Ballon d ' Or for European Footballer of the Year in 1966, he played almost all of his club football at Manchester United, where he became renowned for his attacking instincts and passing abilities from midfield and his ferocious long-range shot.

The four scrolls that preserve the relevant sections ( 1QDan < sup > a </ sup >, 4QDan < sup > a </ sup >, 4QDan < sup > b </ sup >, and 4QDan < sup > d </ sup >) all follow the same bilingual nature of Daniel where the book opens in Hebrew, switches to Aramaic at 2: 4b, then reverts back to Hebrew at 8: 1.

A bongo drinks from a swamp. Angola, Benin extinct ?, Burkina Faso, Cameroon, Central African Republic, Congo, The Democratic Republic of Congo, Côte d ' Ivoire, Equatorial Guinea, Ethiopia, Gabon, Ghana, Guinea, Guinea-Bissau, Kenya ( the only place where the eastern bongo are found in the wild ), Liberia, Mali, Niger, Sierra Leone, Sudan, Togo extinct?

Roughly two-thirds of the entire world's cocoa is produced in West Africa, with 43 % sourced from Côte d ' Ivoire, where child labor is a common practice to obtain the product.

Under § 1332 ( d ) ( 2 ) the federal district courts have original jurisdiction over any civil action where the amount in controversy exceeds $ 5, 000, 000 and

One reason for the popularity of the dissociation constant in biochemistry and pharmacology is that in the frequently encountered case where x = y = 1, K < sub > d </ sub > has a simple physical interpretation: when = K < sub > d </ sub >, = or equivalently /(+)= 1 / 2.

where N is the total number of individuals in the population, B is the number of births, D is the number of deaths, b and d are the per capita rates of birth and death respectively, and r is the per capita rate of population change.

where the dissociation energies, E < sub > d </ sub >, of the A – B, A – A and B – B bonds are expressed in electronvolts, the factor ( eV )< sup >– ½ </ sup > being included to ensure a dimensionless result.

That same year she secretly married Eugene Wetherell ( d. 1889 ) and they returned to the United States, where she remained for the rest of her life.

Mimault became unnerved because of the decision, and after an incident where he shot at and wounded two students of the École Polytechnique ( charges for which were dropped ), he demanded a special act to prolong the duration of his patents, 100, 000 Francs, and election to the Légion d ' honneur.

Although the Estonian orthography is generally guided by phonemic principles, with each grapheme corresponding to one phoneme, there are some historical and morphological deviations from this: for example the initial letter ' h ' in words, preservation of the morpheme in declension of the word ( writing b, g, d in places where p, k, t is pronounced )

De Pomiane worked as a physician at the Institut Pasteur in Paris, where he gave Félix d ' Herelle a place to work on bacteriophages.

where d is the number of days since 1 January 2000 00: 00: 00 in the Terrestrial Time scale used in astronomical ephemerides ; for Universal Time ( UT ) add the following approximate correction to d: