With the formula C < sub > n </ sub > H < sub > 2n + 2 </ sub >, Alkanes belong to a homologous series of organic compounds in which the members differ by a constant relative molecular mass of 14.

An important class of alcohols are the simple acyclic alcohols, the general formula for which is C < sub > n </ sub > H < sub > 2n + 1 </ sub > OH.

Also, no finite field F is algebraically closed, because if a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > n </ sub > are the elements of F, then the polynomial ( x − a < sub > 1 </ sub >)( x − a < sub > 2 </ sub >) ··· ( x − a < sub > n </ sub >) + 1

Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.

* branched ( general formula, n > 3 ) wherein the carbon backbone splits off in one or more directions

* cyclic ( general formula, n > 2 ) wherein the carbon backbone is linked so as to form a loop.

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

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

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

In number theory, an arithmetic, arithmetical, or number-theoretic function is a real or complex valued function ƒ ( n ) defined on the set of natural numbers ( i. e. positive integers ) that " expresses some arithmetical property of n ."

Two whole numbers m and n are called coprime if their greatest common divisor is 1 ; i. e., if there is no prime number that divides both of them.

Define ν < sub > p </ sub >( n ) as the exponent of the highest power of the prime p that divides n. I. e.

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.

The questions range from counting ( e. g., the number of graphs on n vertices with k edges ) to structural ( e. g., which graphs contain Hamiltonian cycles ) to algebraic questions ( e. g., given a graph G and two numbers x and y, does the Tutte polynomial T < sub > G </ sub >( x, y ) have a combinatorial interpretation ?).

The n-th century started / will start on the year ( 100 × n ) − 99 and ends in 100 × n. A century will only include one year, the centennial year, that starts with the century's number ( e. g. 1900 is the final year in the 19th century ).

* In Romania, throughout most of the communist period, the preferred standard was to use the secularised î. e. n. ( înaintea erei noastre, before our era ) and e. n. ( era noastră, our era ).

) The exterior derivative of a k-form in R < sup > 3 </ sup > is defined as the ( k + 1 )- form from above ( and in R < sup > n </ sup > if, e. g., < math >

Some genetic studies seem to prove a Celtic descendence of most inhabitants in the region, but not Germanic in fact, that is reinforced by the Gaulish toponyms such as those ending with the suffix-ago < Celtic -* ako ( n ) ( f. e.

The divergence can be defined on any manifold of dimension n with a volume form ( or density ) e. g. a Riemannian or Lorentzian manifold.

In Spanish, the grapheme ñ is considered a new letter different from n and collated between n and o, as it denotes a different sound from that of a plain n. But the accented vowels á, é, í, ó, ú are not separated from the unaccented vowels a, e, i, o, u, as the acute accent in Spanish only modifies stress within the word or denotes a distinction between homonyms, and does not modify the sound of a letter.

: Precise instructions ( in language understood by " the computer ") for a fast, efficient, " good " process that specifies the " moves " of " the computer " ( machine or human, equipped with the necessary internally contained information and capabilities ) to find, decode, and then process arbitrary input integers / symbols m and n, symbols + and =

n =

variance = ( Sum_sqr-(( Sum * Sum )/ n ))/( n-1 )

n =

n =

The energies of electrons in the n = 1, 2, 3, etc.

Modern physics explains this by noting that the n = 1 state holds 2 electrons, the n = 2 state holds 8 electrons, and the n = 3 state holds 8 electrons ( in argon ).

Angiotensin-converting enzyme ( ACE ) inhibitors were used as the active treatment in 7 trials ( n = 76 615 ) and angiotensin receptor blocker ( ARB ) in 13 trials ( n = 82 383 ).

:: A ( m, n ) = hyper ( 2, m, n + 3 ) − 3.

:: 2 → n → m =

:( n = 1 and n = 2 would correspond with A ( m ,− 2 ) = − 1 and A ( m ,− 1 ) = 1, which could logically be added.

In modern quantum mechanics however, n determines the mean distance of the electron from the nucleus ; all electrons with the same value of n lie at the same average distance.

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.

Chile an ( blue ) and average Latin America n ( orange ) GDP per capita ( 1950-2007 ).

On average, this will also take O ( log n ) time.

Thus, if n < sub > r </ sub > is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be ( 1 + n < sub > r </ sub >), which is the actual reappearance factor added to the equation.

This automatic mirroring counteracts the times when web traffic becomes overloaded, and due to a mature network's intelligent routing, a network of size n should only require log ( n ) time to retrieve a document on average.

The Rabin – Karp algorithm is a relatively fast string searching algorithm that works in O ( n ) time on average.

If using efficient sorting such as mergesort or heapsort this is an O ( n log n ) average and worst-case algorithm.

An LSD radix sort operates in O ( nk ) time, where n is the number of keys, and k is the average key length.

The worst-case height — though unlikely — is O ( n ), with the average being O ( log n ).

Thus, twice the average total kinetic energy equals n times the average total potential energy.

However, on average, assuming the value searched for is in the list and each list element is equally likely to be the value searched for, the search visits only n / 2 elements.

More precisely, it states that as n gets larger, the distribution of the difference between the sample average S < sub > n </ sub > and its limit µ, when blown up by the factor ( that is ), approximates the normal distribution with mean 0 and variance σ < sup > 2 </ sup >.

Mixes ( no restrictions ) have periods of about 2 < sup >< var > n </ var >/ 2 </ sup > on average, usually after walking through a nonrepeating starting sequence.

Mixes that are reversible ( permutations ) have periods of about 2 < sup >< var > n </ var >− 1 </ sup > on average, and the period will always include the original internal state ( e. g. ).

For example, if the average of n uncorrelated random variables Y < sub > i </ sub >, i = 1, ..., n, all having the same finite mean and variance, is given by