That tumultuous, painful and costly experience shows clearly that a law expressing a moral judgment cannot be enforced when it has little correspondence with the general view of society.

The operas composed for Ferdinando de ' Medici are lost ; they might have given a more favourable idea of his style as his correspondence with the prince shows that they were composed with a very sincere sense of inspiration.

In the preface, Abba Mari explains his object in collecting the correspondence ; and in the treatise which follows he shows that the study of philosophy, useful in itself as a help toward the acquisition of the knowledge of God, requires great caution, lest we be misled by the Aristotelian philosophy or its false interpretation, as regards the principles of creation ex nihilo and divine individual providence.

His correspondence with Euler ( who also knew the above equation ) shows that he didn't fully understand logarithms.

A correspondence of considerable extent and of great interest between Zachary and Saint Boniface, the apostle of Germany, survives, and shows how great was the influence of this pope on events in France and Germany.

Incidentally this shows that a collection of representatives of simple left R modules is actually a set since it can be put into correspondence with part of the set of maximal left ideals of R.

As representing the pope Pandulf claimed a control over Hubert de Burgh and the other ministers of the young Henry III ; and his correspondence shows that he interfered in every department of the administration.

Colet's correspondence with Erasmus shows he first offered the position to the Dutchman, who refused it, before considering Lily.

We have already noted the example of analytic geometry, and more generally the field of algebraic geometry thoroughly develops the connections between geometric objects ( algebraic varieties, or more generally schemes ) and algebraic ones ( ideals ); the touchstone result here is Hilbert's Nullstellensatz which roughly speaking shows that there is a natural one-to-one correspondence between the two types of objects.

The correspondence shows that Wilder sometimes adamantly refused to accept some of her daughter's suggestions, and at other times gratefully accepted them.

Her influence on Gambetta was absorbing, both as lover and as politician, and the correspondence which has been published shows how much he depended upon her.

Their considerable correspondence shows evidence of his lasting love for her despite his infidelities and personal emotional turmoil.

Existing correspondence shows that Messachaert was highly appreciative.

They never met, but kept up a lengthy correspondence that shows their growing admiration, esteem and friendship.

Their correspondence shows that they were not on friendly terms ; but Hood always did his duty, and he was so able that no question of removing him from the station ever arose.

Atkinson's correspondence shows that he was highly satisfied with his decision to move to New Zealand, seeing it as an opportunity to prosper.

Because of their common Germanic origin, Scandinavian folklore shows a large correspondence with folklores elsewhere, such as England and Germany, among others.

Thus at each step one can either go down ( append a (, 1 ) to the end ) or go right ( add 1 to the last number ) ( except the root, which is extra and can only go down ), which shows the correspondence between the infinite binary tree and the above numbering ; the sum of the entries ( minus 1 ) corresponds to the distance from the root, which agrees with the 2 < sup > n − 1 </ sup > nodes at depth n − 1 in the infinite binary tree ( 2 corresponds to binary ).

His correspondence shows that he left prepared for failure, that he did not believe that the garrison could hold out against the French force, and that he was already resolved to come back from Minorca if he found that the task presented any great difficulty.

Mozart's correspondence shows he was seeking a comical plot

Figure 5 shows the reaction correspondence for such a game, where the dimensions are " Probability play Cooperate ", the Nash equilibrium is in the lower left corner where neither player plays Cooperate.

Again, her conduct won Calvin's praise ( 10 May 1563 ), and she is one of the frequently recurring figures in his correspondence of that period ; he repeatedly shows recognition of her intervention in behalf of the Evangelical cause ; and one of his last writings in the French tongue, dispatched from his deathbed ( 4 April 1564 ), is addressed to her.

A correspondence survives, dated between November 1548 and June 1549, which shows Thynne directing the plans.

Although his narrative is colourless, and although he was one of those who showed some sympathy for Becket at the council of Northampton ( 1164 ), the correspondence of Diceto shows that he regarded the archbishops conduct as ill-considered, and that he gave advice to those whom Becket regarded as his chief enemies.

Dr Edleston, in his preface to Newton's correspondence with Cotes, justly remarks: " If Flamsteed the Astronomer-Royal had cordially co-operated with him in the humble capacity of an observer in the way that Newton pointed out and requested Of him ... the lunar theory would, if its creator did not overrate his own powers, have been completely investigated, so far as he could do it, in the first few months of 1695, and a second edition of the Principia would probably have followed the execution of the task at no long interval.

During the printing of this edition a correspondence went on continuously between Newton and Cotes.

This Pulitzer Prize has been awarded since 1942 for a distinguished example of reporting on international affairs, including United Nations correspondence.

Einstein did not respond to this or to Reich's future correspondence – Reich would write regularly reporting the results of his experiments – until Reich threatened three years later to publish their previous exchange.

The FBI subsequently questioned In Fact subscribers, particularly servicemen and-women, and had US postal officials reporting to the FBI on Seldes ' mail correspondence.

* 1957: James Reston, The New York Times, " for his distinguished national correspondence, including both news dispatches and interpretive reporting, an outstanding example of which was his five-part analysis of the effect of President Eisenhower's illness on the functioning of the Executive Branch of the Federal Government.

They also are responsible for overseeing all of the administrative requirements of running the House of Netjer temple, up to and including finances, correspondence, managing time and resources, reporting to membership and Siuda, teaching, maintaining and updating the Kemetic Orthodox internet presence, scheduling appointments and trips for Siuda, personal security, and many other jobs.

Aside from the largely arbitrarily assembled booksellers ' stocks, an occasional overseas correspondence, and the publisher's or printer's advertisements to be found in the back of the books, the only way colonial intellectuals could keep alive their philosophical interests was through the reporting in periodical literature.

The two Governments shall have the right at all reasonable times to examine such books and records and all other documents, correspondence, memoranda and other records involving transactions relating to agreed projects.

It is interesting that a 1: 1 correspondence can be established between the lines of two such pencils, so that in a sense a unique image can actually be assigned to each tangent.

Between 1886 and 1917, Carnegie reformed both library philanthropy and library design, encouraging a closer correspondence between the two.

The two men enjoyed a mutual respect for one another and maintained correspondence until Spencer ’ s death in 1903.

Achaemenid Assyria ( 539 BC – 330 BC ) retained a separate identity ( Athura ), official correspondence being in Imperial Aramaic, and there was even a determined revolt of the two Assyrian provinces of Mada and Athura in 520 BC.

The lack of correspondence between Ptolemaic and historical names known to be ancient has no defense except in the case of the two Roman colonies, Aleria and Mariana.

France insisted on its ownership of Clipperton, and a lengthy diplomatic correspondence between the two nations led to the conclusion of a treaty on March 2, 1909, to seek the arbitration of King Victor Emmanuel III of Italy, with each nation promising to abide by that monarch's final determination.

What we have done here is arranged the integers and the odd integers into a one-to-one correspondence ( or bijection ), which is a function that maps between two sets such that each element of each set corresponds to a single element in the other set.

Within Chinese medicine texts the Wu Xing are also referred to as Wu Yun ( 五運 wŭ yùn ) or a combination of the two characters ( Wu Xing-Yun ) these emphasise the correspondence of five elements to five ' seasons ' ( four seasons plus one ).

The many numerical forms can create confusion when used in international correspondence, particularly when abbreviating the year to its final two digits.

In their correspondence the two critiqued each other's work, both submitting to the same publishers, and both being rejected.

Personal correspondence between the two reveals a satisfying yet frustrating relationship.

Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are " more numerous " than the natural numbers.

In abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations.

After two years, he gave up his appointment to pursue his studies at Leipzig, where, as rector, he received the support of the professor of classics, Peter Mosellanus ( 1493 – 1525 ), a celebrated humanist of the time, with whom he had already been in correspondence.

In 1530, Catherine was banished from court and spent the remainder of her life ( until her death in 1536 ) alone in an isolated manor home, barred from any contact with Mary ( although her ladies-in-waiting helped the two maintain a secret correspondence ).

Hulsius tried to convert Jacob to Christianity which began a lifelong correspondence between the two.

Hulsius eventually published the correspondence between the two in 1669.

As early as 1815 we find August Wilhelm von Schlegel reviewing the Altdeutsche Wälder ( a periodical published by the two brothers ) very severely, condemning the lawless etymological combinations it contained, and insisting on the necessity of strict philological method and a fundamental investigation of the laws of language, especially in the correspondence of sounds.

In a correspondence between the two leaders, Tito openly wrote:

On the evidence of Schwitters ' correspondence, by 1937 it had spread to two rooms of his parents ' apartment on the ground floor, the adjoining balcony, the space below the balcony, one or two rooms of the attic and possibly part of the cellar.

There is also canonical ( or " constrained ") correspondence analysis ( CCA ) for summarising the joint variation in two sets of variables ( like canonical correlation analysis ).

According to the correspondence principle, there is no contradiction or conflict between the two subjects, each simply pertains to specific situations.

* The Harry Ransom Center at the University of Texas at Austin holds over 1, 500 items related to the Rubaiyat, including two copies of the first edition, hundreds of editions, translations, and parodies, several Persian manuscripts containing rubaiyat, and ephemera, manuscripts and correspondence documenting the phenomenon of " Omariana "