Sheppard gives the following as a comprehensive summary:

Consider the following reactions of acetic acid ( CH < sub > 3 </ sub > COOH ), the organic acid that gives vinegar its characteristic taste:

The following table gives the approximate altitudes of the chief mountains and lakes of the continent:

Jean Meeus gives the following explanation:

The account which Herodotus gives of the hostilities between the two states in the early years of the 5th century BC is to the following effect.

The following table gives the letters of the Bulgarian alphabet, along with the IPA values for the sound of each letter:

Jean Beleth, a 12th-century liturgical author, gives the following list of books necessary for the right conduct of the canonical office: the Antiphonarium, the Old and New Testaments, the Passionarius ( liber ) and the Legendarius ( dealing respectively with martyrs and saints ), the Homiliarius ( homilies on the Gospels ), the Sermologus ( collection of sermons ) and the works of the Fathers, besides, of course, the Psalterium and the Collectarium.

In category theory, currying can be found in the universal property of an exponential object, which gives rise to the following adjunction in cartesian closed categories: There is a natural isomorphism between the morphisms from a binary product and the morphisms to an exponential object.

( 43 )</ sup > gives the following expression, based on the equation of state for an ideal Fermi gas:

Dirk van Dalen ( in Gabbay 2001: 284 ) gives the following example for the sake of illustrating this informal use of the Church – Turing thesis:

The following table gives allowable signal-to-noise and signal-to-interference ratios for various interference scenarios.

The National Institute of Neurological Disorders and Stroke gives the following definition for dyslexia:

" The Council of Europe gives the flag a symbolic description in the following terms ;

The following table gives the number of solutions for placing n queens on an n × n board, both unique and distinct, for n = 1 – 14, 24 – 26.

The following table gives the traditional English names for each month's full moon, the names given by Algonquian peoples in the northern and eastern United States, other common names, and Hindu.

The specification gives the following values:

The entry for " Flamenco " in the 1786 Diccionario español e ingles ( Volume 1 ), gives the following definition: " f. m.

The approach based on the Einstein's mobility and Teorell formula gives the following generalization of Fick's equation for the multicomponent diffusion of the perfect components:

The first law gives rise to the following formula:

The Bibliotheca ( 2. 5. 1-2. 5. 12 ) gives the following order:

Combining the linearity of the inner product in its first argument and the conjugate symmetry gives the following important generalization of the familiar square expansion:

The following table gives an overview of this now obsolete system.

The following table gives a list of the islands of the Firth of Clyde with an area greater than 40 hectares ( approximately 100 acres ) plus adjacent smaller uninhabited islets, tidal islets only separated at higher stages of the tide, and skerries which are only exposed at lower stages of the tide.

The following table gives the 6 common examples of normalized Jones vectors.

Brunei joined ASEAN on January 7, 1984, one week after resuming full independence, and gives its ASEAN membership the highest priority in its foreign relations.

Generally, Finland has abided by the principle of neutrality and has good relations with nearly all countries, as evidenced by the freedom of travel that a Finnish passport gives.

This gives the set of relations:

He analyses the relations among character, action, and speech, gives examples of what he considers to be good plots, and examines the reactions the plays provoke in the audience.

** Relation composition, an operation that takes relations and gives a single relation as the result

These relations are a direct consequence of the basic properties of determinants: evaluation of the ( i, j ) entry of the matrix product on the left gives the expansion by column j of the determinant of the matrix obtained from M by replacing column i by a copy of column j, which is if and zero otherwise ; the matrix product on the right is similar, but for expansions by rows.

The constitution gives the monarch special responsibility in promoting Spanish relations with members of its historic community, the nations formerly part of the Spanish Empire and also relations with Portugal and Brazil.

Another source from Antiquity, Flavius Josephus's Jewish Antiquities, gives her name and some detail about her family relations.

This gives the corresponding modal graph which is total complete ( i. e., no more edges ( relations ) can be added ).

Mortis and Bigelow investigate and meet the company's head public relations person, Randi James ( Lindsay Frost ) who gives them a tour of the facility.

-mother daughter relations are touched on ---- mother often gives advice to her daughter

Grisham gives details in his book about one of the executives for the chemical company hiring a " government relations " firm in order to get a political stance on their issue and turn around the company's image.

Setting these equal gives a multiplicative relation among elements of a bigger factor base in Z / nZ, and if we find enough pairs we can proceed to combine the relations and factor n, as described above.

Volf takes Joseph Ratzinger ( Catholic, current Pope Benedict XVI ) and John Zizioulas ( Orthodox, and a bishop ) as his dialogue partners, and critiques their anchoring of the communal and hierarchical nature of the church in hierarchical Trinitarian relations ( both thinkers gives primacy to the “ One ,” though each does this in a different way ).

He gives up on achieving good relations with his family.

The isomorphism can be described rather explicitly, and gives a presentation of the cohomology in terms of generators and relations, where generators are represented ( in the de Rham cohomology ) as logarithmic differential forms

If the order of a group G is relatively small and the subgroup H is known to be uncomplicated ( for example, a cyclic group ), then the algorithm can be carried out by hand and gives a reasonable description of the group G. Using their algorithm, Coxeter and Todd showed that certain systems of relations between generators of known groups are complete, i. e. constitute systems of defining relations.

A frequent criticism made by other organizations who refer to Marxism towards OAKKE is the one of " productivism ,” a theory which gives priority to the development of productive forces and not to the change of the relations of production, which was characteristic of the Mensheviks in the Russian social democracy before the Revolution of 1917 and a point of friction with the Bolsheviks.

OAKKE, beyond its founding declaration of 1985, in which it refers critically to this Menshevik productivist theory, most recently has answered that the fight that it gives and that it calls people to give is not mainly for the development of the productive forces, but in the opposite for the breaking of the productive relations of the country's dependence from Russian social imperialism, ultimately from any imperialism as part of the revolutionary destruction of all capitalist relations of production and their replacement by revolutionary means with socialist relations, in the way for a world classless communist society.

This gives us a congruence of squares of the form which can be turned into a factorization of N, This factorization might turn out to be trivial ( i. e. ), which can only happen if in which case we have to try again with a different combination of relations ; but with luck we will get a nontrivial pair of factors of N, and the algorithm will terminate.