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.

The Arrhenius definition states that acids are substances which increase the concentration of hydronium ions ( H < sub > 3 </ sub > O < sup >+</ sup >) in solution.

An Arrhenius acid is a substance that increases the concentration of the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >, when dissolved in water.

: H < sub > 2 </ sub > O ( l ) + H < sub > 2 </ sub > O ( l ) H < sub > 3 </ sub > O < sup >+</ sup >( aq ) + OH < sup >−</ sup >( aq )

In pure water the majority of molecules exist as H < sub > 2 </ sub > O, but a small number of molecules are constantly dissociating and re-associating.

Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.

Both theories easily describe the first reaction: CH < sub > 3 </ sub > COOH acts as an Arrhenius acid because it acts as a source of H < sub > 3 </ sub > O < sup >+</ sup > when dissolved in water, and it acts as a Brønsted acid by donating a proton to water.

Clinton won the 1992 presidential election ( 43. 0 % of the vote ) against Republican incumbent George H. W. Bush ( 37. 4 % of the vote ) and billionaire populist Ross Perot, who ran as an independent ( 18. 9 % of the vote ) on a platform focusing on domestic issues ; a significant part of Clinton's success was Bush's steep decline in public approval.

HTML (< u > H </ u > yper < u > t </ u > ext < u > M </ u > arkup < u > L </ u > anguage ) has been in use since 1991, but HTML 4. 0 ( December 1997 ) was the first standardized version where international characters were given reasonably complete treatment.

As a result, the primordial abundance of atoms ( or ions ) consisted of roughly 75 % < sup > 1 </ sup > H, 25 % < sup > 4 </ sup > He, and 0. 01 % deuterium, with only tiny traces of lithium, beryllium, and perhaps boron.

Hence, the difference in Pauling electronegativity between hydrogen and bromine is 0. 73 ( dissociation energies: H – Br, 3. 79 eV ; H – H, 4. 52 eV ; Br – Br 2. 00 eV )

: C < sub > 3 </ sub > H < sub > 5 </ sub >( NO < sub > 3 </ sub >)< sub > 3 </ sub > → 3CO < sub > 2 </ sub > + 2. 5H < sub > 2 </ sub > O + 1. 5N < sub > 2 </ sub > + 0. 25O < sub > 2 </ sub >

the explosion of one mole of nitroglycerin produces 3 moles of CO < sub > 2 </ sub >, 2. 5 moles of H < sub > 2 </ sub > O, 1. 5 moles of N < sub > 2 </ sub >, and 0. 25 mole of O < sub > 2 </ sub >, all in the gaseous state.

:∆ H < 0

Coach H. W. " Bill " Hargiss ' " Presbies " are said to have featured the play in a 17 – 0 victory over Washburn University and in a 107 – 0 destruction of Pittsburg State University.

The probability of the observed result that out of 12 trials 3 or something fewer ( i. e. more extreme ) were successes, if H < sub > 0 </ sub > is true, is

The smallest molecule is the diatomic hydrogen ( H < sub > 2 </ sub >), with a bond length of 0. 74 Å. Molecules commonly used as building blocks for organic synthesis have a dimension of a few Å to several dozen Å.

H. 222. 0.

H. 222. 0.

B ( r ) is the Magnetic field strength of the planet in SI units ( B in T, μ < sub > 0 </ sub > in H / m )

from :-0. 0117 till: 0 color: holocene text: H.

from :-0. 0117 till: 0 color: holocene text: H.

* for Orcus ( BB, grey / blue ): 85 % amorphous carbon, + 4 % titan tholin, and 11 % H < sub > 2 </ sub > 0 ice

0. 2 < H < 4 ( H = head in m )

< sup > 2 </ sup > H + < sup > 2 </ sup > H → < sup > 3 </ sup > He + < sup > 1 </ sup > n < sup > 0 </ sup > + 4 MeV, or < sup > 2 </ sup > H + < sup > 3 </ sup > H → < sup > 4 </ sup > He + < sup > 1 </ sup > n < sup > 0 </ sup > + 17. 8 MeV.

# H < sub > 3 </ sub > O < sup >+</ sup >( aq ) + Cl < sup >−</ sup >( aq ) + NH < sub > 3 </ sub > → Cl < sup >−</ sup >( aq ) + NH < sub > 4 </ sub >< sup >+</ sup >( aq )

The species that gains the electron pair is the Lewis acid ; for example, the oxygen atom in H < sub > 3 </ sub > O < sup >+</ sup > gains a pair of electrons when one of the H — O bonds is broken and the electrons shared in the bond become localized on oxygen.

Brackets indicate concentration, such that means the concentration of H < sub > 2 </ sub > O.

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 >.

Soon Jean-Pierre Serre noticed that some properties of étale coverings mimicked those of open immersions, and that consequently it was possible to make constructions which imitated the cohomology functor H < sup > 1 </ sup >.

By applying the functor F to this sequence, one obtains a chain complex ; the homology H < sub > n </ sub > of this complex depends only on F and X and is, by definition, the n-th derived functor of F, applied to X.

Chain complexes form a category: A morphism from the chain complex ( d < sub > n </ sub >: A < sub > n </ sub > → A < sub > n-1 </ sub >) to the chain complex ( e < sub > n </ sub >: B < sub > n </ sub > → B < sub > n-1 </ sub >) is a sequence of homomorphisms f < sub > n </ sub >: A < sub > n </ sub > → B < sub > n </ sub > such that for all n. The n-th homology H < sub > n </ sub > can be viewed as a covariant functor from the category of chain complexes to the category of abelian groups ( or modules ).

A characteristic class c of principal G-bundles is then a natural transformation from b < sub > G </ sub > to a cohomology functor H *, regarded also as a functor to Set.

* the functor H: I → C has limit ( or colimit ) l if and only if the functor FH: I → D has limit ( or colimit ) Fl.

The étale cohomology groups H < sup > i </ sup >( F ) of the sheaf F of abelian groups are defined as the derived functors of the functor of sections,

The idea of derived functor here is that the sheaf of sections doesn't respect exact sequences as it is not right exact ; according to general principles of homological algebra there will be a sequence of functors H < sup > i </ sup > for i = 0, 1, ... that represent the ' compensations ' that must be made in order to restore some measure of exactness ( long exact sequences arising from short ones ).

Note that natural transformations can be composed: if μ ( X ): F ( X ) → G ( X ) is a natural transformation from the functor F: C → D to the functor G: C → D, and η ( X ): G ( X ) → H ( X ) is a natural transformation from the functor G to the functor H, then the collection η ( X ) μ ( X ): F ( X ) → H ( X ) defines a natural transformation from F to H. With this composition of natural transformations ( known as vertical composition, see natural transformation ), D < sup > C </ sup > satisfies the axioms of a category.

Over an algebraically closed field, this is the only form ; however, over other fields, there are often many other forms, or “ twists ” of E < sub > 8 </ sub >, which are classified in the general framework of Galois cohomology ( over a perfect field k ) by the set H < sup > 1 </ sup >( k, Aut ( E < sub > 8 </ sub >)) which, because the Dynkin diagram of E < sub > 8 </ sub > ( see below ) has no automorphisms, coincides with H < sup > 1 </ sup >( k, E < sub > 8 </ sub >).

Moreover, the kernel of a closed densely defined operator T: H < sub > 1 </ sub > → H < sub > 2 </ sub > coincides with the orthogonal complement of the range of the adjoint.

Generalizing all these examples, any ( possibly nonlinear ) connection on M induces a semispray H, and conversely, any semispray H induces a torsion-free nonlinear connection on M. If the original connection is torsion-free it coincides with the connection induced by H, and homogeneous torsion-free connections are in one-to-one correspondence with full sprays.

Consider a shear field with a height of H and a cross-sectional area of A opposed by a manometer with a height of H ( referred to the same base as H ) and a cross-sectional area of A.

The minimum total potential energy is found by taking the derivative with respect to H and equating to zero.

But his first few days with Troop H were full of surprises, beginning with First Sergeant Robert Early.

* G. H. Hardy and E. M. Wright 1978, 2000 ( with general index ) An Introduction to the Theory of Numbers: 5th Edition, Clarendon Press, Oxford UK, ISBN 0-19-853171-0

While both communities use the forehead location and neutral space location with the H handshape, Black speakers also have a separate sign for rabbit, with a bent V handshape and different hand movement.

Benzene, C < sub > 6 </ sub > H < sub > 6 </ sub >, is the simplest aromatic hydrocarbon and was recognized as the first aromatic hydrocarbon, with the nature of its bonding first being recognized by Friedrich August Kekulé von Stradonitz in the 19th century.

It was signed into law on July 26, 1990, by President George H. W. Bush, and later amended with changes effective January 1, 2009.

Speech cards used by President George H. W. Bush at the signing ceremony of the Americans with Disabilities Act ( ADA ) on July 26, 1990.

* Bush, George H. W., Remarks of President George Bush at the Signing of the Americans with Disabilities Act.

W. H. Roscher thinks that both nectar and ambrosia were kinds of honey, in which case their power of conferring immortality would be due to the supposed healing and cleansing powers of honey, and because fermented honey ( mead ) preceded wine as an entheogen in the Aegean world ; on some Minoan seals, goddesses were represented with bee faces ( compare Merope and Melissa ).

Common meter hymns were interchangeable with a variety of tunes ; more than twenty musical settings of " Amazing Grace " circulated with varying popularity until 1835 when William Walker assigned Newton's words to a traditional song named " New Britain ", which was itself an amalgamation of two melodies (" Gallaher " and " St. Mary ") first published in the Columbian Harmony by Charles H. Spilman and Benjamin Shaw ( Cincinnati, 1829 ).

An amide is a compound with the functional group R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub > ( R and R ' refer to H or organic groups ).

Pausanias Description of Greece with an English Translation by W. H. S.

Several of Alexander's works were published in the Aldine edition of Aristotle, Venice, 1495 – 1498 ; his De Fato and De Anima were printed along with the works of Themistius at Venice ( 1534 ); the former work, which has been translated into Latin by Grotius and also by Schulthess, was edited by J. C. Orelli, Zürich, 1824 ; and his commentaries on the Metaphysica by H. Bonitz, Berlin, 1847.

Johnson did not deal harshly with Confederate leaders, as he had earlier indicated he would ; he expanded his pardons to include those in the highest ranks of the Confederacy, including their Vice-President, Alexander H. Stephens.

He built Pittsburgh's Carnegie Steel Company, which was later merged with Elbert H. Gary's Federal Steel Company and several smaller companies to create U. S. Steel.

The simplest acyclic alkenes, with only one double bond and no other functional groups, form an homologous series of hydrocarbons with the general formula C < sub > n </ sub > H < sub > 2n </ sub >.