The acid dissociation constant K < sub > a </ sub > is generally used in the context of acid-base reactions.

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 >.

The stronger of two acids will have a higher K < sub > a </ sub > than the weaker acid ; the ratio of hydrogen ions to acid will be higher for the stronger acid as the stronger acid has a greater tendency to lose its proton.

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 >

If K is a number field, its ring of integers is the subring of algebraic integers in K, and is frequently denoted as O < sub > K </ sub >.

Theorem: If K < sub > 1 </ sub > and K < sub > 2 </ sub > are the complexity functions relative to description languages L < sub > 1 </ sub > and L < sub > 2 </ sub >, then there is a constant c – which depends only on the languages L < sub > 1 </ sub > and L < sub > 2 </ sub > chosen – such that

# The length of P which by definition is K < sub > 2 </ sub >( s ).

An algebraic closure K < sup > alg </ sup > of K contains a unique separable extension K < sup > sep </ sup > of K containing all ( algebraic ) separable extensions of K within K < sup > alg </ sup >.

where C < sub > α </ sub > denotes I < sub > α </ sub > or e < sup > απi </ sup > K < sub > α </ sub >.

where K < sub > α </ sub > is found from

Let V and W be vector spaces over the same field K. A function f: V → W is said to be a linear map if for any two vectors x and y in V and any scalar α in K, the following two conditions are satisfied:

The most common metal used is copper, which can be kept cool easily, due to its high thermal conductivity, and which produces strong K < sub > α </ sub > and K < sub > β </ sub > lines.

In 1999, a team led by John K. Webb of the University of New South Wales claimed the first detection of a variation in α.

for v, v < sub > 1 </ sub >, v < sub > 2 </ sub > ∈ V, w, w < sub > 1 </ sub >, w < sub > 2 </ sub > ∈ W, and α ∈ K.

Sertraline molecule Sertraline is also a dopamine reuptake inhibitor, with a K < sub > i </ sub >= 315 nM, a σ < sub > 1 </ sub > receptor agonist with 5 % of its SRI potency, and an α < sub > 1 </ sub >- adrenoreceptor antagonist with 1 – 10 % of its SRI potency.

α < sup > 1 </ sup > is magnitude 1. 40 and α < sup > 2 </ sup > is magnitude 2. 09, both hot class B ( almost class O ) stars, with surface temperatures of about 28, 000 and 26, 000 K respectively.

As the solera matures, the average age of product asymptotically approaches the difference between the number of containers ( K ) and the fraction of a container transferred or bottled ( α ), divided by the fraction of a container which is transferred or bottled

A K-alpha, or K < sub > α </ sub >, line analogous to the Lyman-alpha line for hydrogen, occurs in the high-energy induced emission spectra of all chemical elements, since it results from the same electron transition as in hydrogen.

If K ∈ Ω < sup > k </ sup >( M, TM ) and α is a differential p-form, then it is possible to define the interior product i < sub > K </ sub > α of K and α.

Church, Ministry and Sacraments in the New Testament Paternoster Press: 1993, p. 92f </ ref > Moving on to Ignatius of Antioch, Barrett states that here we find a sharp distinction between ' presbyter ' and ' bishop ': the latter now stands out as " an isolated figure " who is to be obeyed and without whom it is not lawful to baptise or hold a love-feast .< Barrett, C. K.

This subextension is called a separable closure of K. Since a separable extension of a separable extension is again separable, there are no finite separable extensions of K < sup > sep </ sup >, of degree > 1.

* Bessel functions J < sub > ν </ sub >, Y < sub > ν </ sub >, I < sub > ν </ sub > and K < sub > ν </ sub > in Librow Function handbook.

This results in constitutive cAMP production, which in turn leads to secretion of H < sub > 2 </ sub > O, Na < sup >+</ sup >, K < sup >+</ sup >, Cl < sup >−</ sup >, and HCO < sub > 3 </ sub >< sup >−</ sup > into the lumen of the small intestine and rapid dehydration.

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.

That is, K < sub > d </ sub >, which has the dimensions of concentration, equals the concentration of free A at which half of the total molecules of B are associated with A.

The conversion to kelvins ( symbol: uppercase K ) is defined by using k < sub > B </ sub >, the Boltzmann constant:

* K < nowiki ></ nowiki > X < nowiki ></ nowiki >, the ring of formal power series over the field K. For each nonzero power series P, define f ( P ) as the degree of the smallest power of X occurring in P. In particular, for two nonzero power series P and Q, f ( P )≤ f ( Q ) iff P divides Q.

Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.

PuP is one actinide pnictide that is a paramagnet and has cubic symmetry at room temperature, but upon cooling undergoes a lattice distortion to tetragonal when cooled to below its T < sub > c </ sub > = 125 K. PuP has an easy axis of < 100 >, so that

If G = GL < sub >*</ sub >( K ), then the set of natural numbers is a proper subset of G < sub > 0 </ sub >, since for each natural number n, there is a corresponding identity matrix of dimension n. G ( m, n ) is empty unless m = n, in which case it is the set of all nxn invertible matrices.

In particular, the identity function id < sub > S </ sub >, defined by, is idempotent, as is the constant function K < sub > c </ sub >, where c is an element of S, defined by.

* Non-selective cation channels: These let many types of cations, mainly Na < sup >+</ sup >, K < sup >+</ sup > and Ca < sup > 2 +</ sup > through the channel.

Channels differ with respect to the ion they let pass ( for example, Na < sup >+</ sup >, K < sup >+</ sup >, Cl < sup >−</ sup >), the ways in which they may be regulated, the number of subunits of which they are composed and other aspects of structure.

K < sub > 2 </ sub > CO < sub > 3 </ sub >,

It was initiated in 1950 by K. M. Munshi, the then Union Minister for Agriculture and Food to create an enthusiasm in the mind of the populace for the conservation of forests and planting of trees.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

To see this, note that if L is any algebraic extension of K, then the algebraic closure of L is also an algebraic closure of K, and so L is contained within the algebraic closure of K.

because if M is any algebraically closed field containing K, then the elements of M which are algebraic over K form an algebraic closure of K.

If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.

" By then, the U. S. and U. K. had transparently destroyed all their bioweapons stockpiles.

Non-avian dinosaur fossils are found only below the K – T boundary, indicating that they became extinct during the boundary event .< ref > A very small number of dinosaur fossils have been found above the K – T boundary, but they have been explained as reworked fossils, that is, fossils that have been eroded from their original locations then preserved in later sedimentary layers.

Thus if the universe is hot enough ( approximately 10 < sup > 15 </ sup > K, a temperature exceeded until shortly after the Big Bang ) then the electromagnetic force and weak force will merge into a combined electroweak force.

One of the men produces a double-edged butcher knife, and as the two men pass it back and forth between them, the narrator tells us that " K. knew then precisely, that it would have been his duty to take the knife ... and thrust it into himself.