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 >.

This polynomial is irreducible over the rationals, and so these three cosines are conjugate algebraic numbers.

Since temperature is thermodynamically conjugate to entropy, the isothermal process is conjugate to the adiabatic process for reversible transformations.

The acetylide conjugate base is stabilized as a result of the high s character of the sp orbital, in which the electron pair resides.

In the complex case, one can also check that the bilinear form is linear over i in one argument, and conjugate linear in the other.

The conjugate transpose ( also called Hermitian conjugate ) of a bra is the corresponding ket and vice-versa:

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

If A is expressed as an N × N matrix, then A < sup >†</ sup > is its conjugate transpose.

* The Hermitian conjugate of a bra is the corresponding ket, and vice-versa.

* The Hermitian conjugate of a complex number is its complex conjugate.

* The Hermitian conjugate of the Hermitian conjugate of anything ( linear operators, bras, kets, numbers ) is itself — i. e.,

When a carboxyl group is deprotonated, its conjugate base, a carboxylate anion is formed.

On April 11th he wrote an open letter in The Advocate, making it known `` to the world that Jas. W. Robinson is by his own admission a base liar and a slanderer ''.

The Act further provides for a `` floor '' or minimum allotment, set at the 1954 level, which is called the `` base '' allotment, and a `` ceiling '' or maximum allotment, for each State.

Determine if the particular State's unadjusted allotment ( result obtained in item 11 above ) is less than its minimum ( base ) allotment, and if so raise its unadjusted allotment to its minimum allotment.

The pre-1960 rate of Federal participation with respect to any State's base allotment, as well as the adjusted rate in effect during the 1960 - 1962 period, is designated by the statute as that State's `` adjusted Federal Share ''.

The purpose of the adjusted Federal share relating to the base allotment and of the transition provisions for reaching the unadjusted Federal share is to prevent dislocations from abrupt changes in matching rates.

That we had the wit and wisdom to adopt Mr. Lowell's concept and make it the base for our processes of selection is one reason why our selections have been, it may be said truly, pretty uniformly good.

Pattern for circular base piece B is diameter of Aj.

It is too easy for the inexperienced person to make a quick judgment of a few values of the area and base a decision on these alone.

Inscribed around its base is a charm in Balinese, a dialect I take it you don't comprehend.

And the more complex the morphophonemic system is in relation to the phonemic base, the less easily a phonemic system will be analysed without close attention to the morphophonemics -- at least, the less satisfying will a phonemic statement be if it cannot be related through morphophonemic rules to grammatically meaningful structures.

Its function is to separate from the base ruled mass, among whom private ownership prevails, the governing warrior elite.

Destruction of the enemy's building and base complex, however, requires attacks on enemy territory, which is possible only in event of all-out hostilities.

However, this difficulty is not too serious if it is realized that a surveying team can establish a true north base line with a few days' work.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

The large statue on the first floor is believed to be the statue of Pompey at the base of which Julius Caesar was stabbed to death ( if so, the statue once stood in the senate house ).

The United States, State Department officials explain, now is mainly interested in setting up an international inspection system which will prevent Laos from being used as a base for Communist attacks on neighboring Thailand and South Viet Nam.

Mantle is a master at dragging a bunt toward first base.

If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.

A study of the hydrogen line profiles indicates that a measurement of these profiles can be used to calculate a temperature for the arc plasma that is reliable to about Af percent.

Af appeared to be well suited for the study of these matters, since it is a normal paramagnet, with three unpaired electrons on the chromium, its crystal structure is very simple, and the unknown position of the hydrogen in the strong Af bond provides structural interest.

If the Af bond is linear then there are three reasonable positions for the hydrogen atoms: ( 1 ) The hydrogen atoms are centered and hence all lie on a sheet midway between the oxygen sheets ; ;

( 2 ) all hydrogen atoms lie on a sheet, but the sheet is closer to one oxygen sheet than to the other ; ;

A randomization of `` ups '' and `` downs '' is more likely than ordered `` ups '' and `` downs '' in position ( 3 ) since the hydrogen atoms are well separated and so the position of one could hardly affect the position of another, and also since ordered `` up '' and `` down '' implies a larger unit cell, for which no evidence exists.

water is Af and the H stands for hydrogen ; ;

there is also hydrogen in wood and hydrogen in our bodies.

Salt water is still Af, the same hydrogen is there.

Each carbon atom has 4 bonds ( either C-H or C-C bonds ), and each hydrogen atom is joined to a carbon atom ( H-C bonds ).

An alkyl group, generally abbreviated with the symbol R, is a functional group or side-chain that, like an alkane, consists solely of single-bonded carbon and hydrogen atoms, for example a methyl or ethyl group.

A proton is transferred from an unspecified Brønsted acid to ammonia, a Brønsted base ; alternatively, ammonia acts as a Lewis base and transfers a lone pair of electrons to form a bond with a hydrogen ion.

The prefix " hydro -" is added only if the acid is made up of just hydrogen and one other element.

In the modern IUPAC nomenclature, the alkali metals comprise the group 1 elements, excluding hydrogen ( H ), which is nominally a group 1 element but not normally considered to be an alkali metal as it rarely exhibits behaviour comparable to that of the alkali metals.

This is lower than that of iodine ( 2. 66 ) and the same as that of hydrogen.

However, in hydrogen astatide ( HAt ) the negative charge is predicted to be on the hydrogen atom, implying that this compound should instead be referred to as astatine hydride.

In this context, it is pertinent to note that the electronegativity of astatine on the Allred-Rochow scale ( 1. 9 ) is less than that of hydrogen ( 2. 2 ).

All other nuclides ( isotopes of hydrogen and all other elements ) have more nucleons than electrons, so the fraction of mass taken by the nucleus is closer to 100 % for all of these types of atoms, than for hydrogen-1 .</ ref > with protons and neutrons having roughly equal mass.

With de Broglie's suggestion of the existence of electron matter waves in 1924, and for a short time before the full 1926 Schrödinger equation treatment of hydrogen like atom, a Bohr electron " wavelength " could be seen to be a function of its momentum, and thus a Bohr orbiting electron was seen to orbit in a circle at a multiple of its half-wavelength ( this historically incorrect Bohr model is still occasionally taught to students ).