The observation about the use of the word " cup ", rather than " chalice ", concerned only the English translation in use from 1973 to 2011, which employed both terms.

From 1936 to 1938, Hassler Whitney and Eduard Čech developed the cup product ( making cohomology into a graded ring ) and cap product, and realized that Poincaré duality can be stated in terms of the cap product.

For example, the causes of the resultant pattern of cup fragments and water spill are easily attributable in terms of the loss of manual grip, gravity, trajectory of the cup and contents, irregularities in its structure, angle of its impact on the floor, etc.

Later, with the rise of cohomology theory in the 1930s, he contributed to the intersection number approach ( that is, in cohomological terms, the ring structure ) via the cup product and duality on manifolds.

Poincaré duality did not take on its modern form until the advent of cohomology in the 1930s, when Eduard Čech and Hassler Whitney invented the cup and cap products and formulated Poincaré duality in these new terms.

In this order, the causes of the resultant pattern of cup fragments and water spill is easily attributable in terms of the trajectory of the cup, irregularities in its structure, angle of its impact on the floor, etc.

The most successful teams, in terms of competitions won, are Bordeaux, Paris Saint-Germain and Marseille, who have won the cup thrice.

“ Café au lait ” and “ caffè latte ” are used as contrasting terms, to indicate whether the beverage is served in the “ French ” or the “ Italian ” way – the former being in a white porcelain cup or bowl, the latter in a kitchen glass and always made from an espresso machine, whereas “ Café au lait ” might be espresso or dark coffee based.

" There is a retention of ecclesiastical terms, and an explanation of the passages on which Protestants tended to differ rather sharply from Roman Catholics, as in the matter of the taking of the cup by the people, and elsewhere.

This composition passes to the quotient to give a well-defined map in terms of cohomology, this is the cup product.

The linking number can be defined in terms of a non-vanishing cup product on the complement of a link.

Similarly, the linking number can be defined in terms of intersections, shifting dimensions by 1, or alternatively in terms of a non-vanishing cup product on the complement of a link.

The 1970s were a lean decade for the club in terms of silverware, the league cup being the only competition the club won in the 1975 – 76 season.

With Ramblers having played all but four of their League of Ireland campaigns in the First Division, they rarely get to play their local rivals Cork City, a Premier Division team, with the two usually only being able to match up in pre-season friendlies and the occasional cup match, Cobh being the minnows in terms of League of Ireland experience.

2008 – 09 would become a good year for the Wild Tigers in terms of cup competitions, making it to the quarter finals in the Danish Cup for the second time in their history, the club managed to improve on their previous European outing with wins over TVMK Tallinn and Queen of the South, to been convincingly knocked out by Greek side Olympiacos 0 – 7 aggregate.

This architecture freed up the Amiga's processor for other tasks and gave the Amiga a performance edge over its competitors, particularly in terms of video-intensive applications and games.

A DBMS also needs to provide effective run-time execution to properly support ( e. g., in terms of performance, availability, and security ) as many database end-users as needed.

In terms of research performance, High Impact Universities 2010 ranked Dalhousie 239th out of 500 universities, and 12th in Canada.

By the time mass applications for wireless Internet had emerged, and the U. S. had opened up to DECT, well into the new century, the industry had moved far ahead in terms of performance and DECT's time as a wireless data transport had passed.

Research in this area attempts to understand the relation between expert knowledge and exceptional performance in terms of cognitive structures and processes.

In terms of international comparison, with the most efficient and corruption-free application procedure, lowest income tax and lowest corporate tax as well as abundant and sustainable government finance that the government of Hong Kong consistently upheld the policy of encouraging ( and supporting ) activities of private businesses and this is having a sound impact on the overall economic performance by removing unnecessary barriers for the private enterprises in the Special Administrative Region.

Hydrogen has also been proposed for use in these engines and would provide much greater specific impulse ( thrust per kilogram of reaction mass ), but it has been claimed that water will beat hydrogen in cost / performance terms despite its much lower specific impulse by orders of magnitude.

LCD spatial performance is also sometimes described in terms of a " dot pitch ".

* Color performance: There are many terms to describe color performance of an LCD.

However, during this time the speed of computers grew greatly in relation to networking systems, and the disadvantages in performance came to overwhelm the advantages in development terms.

The extrinsic performance of the system is then characterized in terms of its utility with respect to the overall task of the complex system or the human user.

Instead, a student's performance is related in absolute terms: " Jane knows how to write the letters of the alphabet " or " Jane answered 80 % of questions correctly " instead of " Jane answered more questions correctly than Mary.

These relations are important because they define the maximum performance of a device in terms of velocity ratios determined by its physical dimensions.

Other terms with similar meaning are the quality of experience ( QoE ) subjective business concept, the required “ user perceived performance ”, the required “ degree of satisfaction of the user ” or the targeted “ number of happy customers ”.

The performance of speech recognition systems is usually evaluated in terms of accuracy and speed.

In formal terms it is a hymn invoking Zeus and the Muses: parallel passages between it and the much shorter Homeric Hymn to the Muses make it clear that the Theogony developed out of a tradition of hymnic preludes with which an ancient Greek rhapsode would begin his performance at poetic competitions.

Ted Williams was on uncomfortable terms with the Boston newspapers for nearly twenty years, as he felt they liked to discuss his personal life as much as his baseball performance.

Eligibility in the Local Context, commonly referred to as ELC, is met by applicants ranked in the top 4 % ( 7 % as of 2011 ) of their high school class in terms of performance on an 11-unit pattern of UC-approved high school courses.

According to Deutsche Börse, the operator of Xetra, DAX measures the performance of the Prime Standard ’ s 30 largest German companies in terms of order book volume and market capitalization.

In software engineering, performance testing is in general testing performed to determine how a system performs in terms of responsiveness and stability under a particular workload.

The United States developed better technology to get better performance from their ships while still working within the weight limits, the United Kingdom exploited a loop-hole in the terms, the Italians misrepresented the weight of their vessels, and when up against the limits, Japan simply left the treaty.

In recent years however, rule changes in both GT500 and GT1 ( aimed at eventually allowing both classes to compete with each other in the future ) have brought the cars closer to each other, although GT500 cars still have a notable advantage in terms of aerodynamics and cornering performance ( enough to compensate for GT1 cars greater power ).

Instead producers could manipulate sounds to an unprecedented degree and producers like Spector and Martin were soon creating recordings that were, in practical terms, almost impossible to realise in live performance.

Other methods of levitation allow for greater heights, longer durations, and better viewing angles ( see definition of angles from List of conjuring terms ) for performance ; however, most of these methods can only be performed on a stage because they require special equipment or setups ( such as wires ).

Cardiff RFC Ltd, the company that runs Cardiff Blues and Cardiff RFC, still has a 15-year lease on the Arms Park, but talks are underway to release the rugby club from the terms of the lease, to enable the Millennium Stadium to be redeveloped with a new North Stand and adjoining convention centre.

On Sunday, April 1, 2007, Major League Baseball's 2007 Opening Night, the Padres announced that they had agreed to terms on a four-year contract with 1B Adrian Gonzalez, keeping him in San Diego until 2010 with a club option for 2011.

This currently sees the club ranked equal fifth with Hawthorn Football Club in terms of premierships won.

The club struggled to come to terms with the draft after its inception in 1986, and made a number of poor choices – notably, the number one pick in 1987 was used on a player who had only two games with the Tigers.

Under the terms of his will, Maclure also offered $ 500 to any club or society of laborers in the United States who established a reading and lecture room with a library of at least 100 books.

Although successful in terms of attendance, and attracting a lot of praise for Ben Kelly's interior design, the club lost large amounts of money in its first few years due largely to the low prices charged for entrance and at the bar, which was markedly cheaper than nearby pubs.

It is also one of Brazil's richest football clubs in terms of revenue, with an annual revenue of R $ 120. 0m (€ 52. 6m ), and the second most valuable club in South America, worth over R $ 308. 3 (€ 248. 7m ) in 2011.

Corinthians is Brazil's richest football club in terms of revenue, with an annual income of R $ 293m (€ 118m /$ 145m ) in 2011, and the most valuable club in the nation, worth over R $ 1. 005B (€ 404m /$ 496m ) in 2012.

São Paulo is Brazil's second richest football club in terms of revenue, with an annual revenue of $ 111. 9m (€ 78. 2m ), and the nation's third most valuable club, worth over $ 353. 4m (€ 246. 9m ) in 2011.

Despite poor runs in the FA Cup and Carling Cup, the club exceeded expectations in terms of 2008 – 09 League performance.

In terms of titles the club has won little, their sole silverware is the 1963 Coppa Italia.

It is the world's oldest extant football club ( all codes ) in terms of continuous existence.

Each year, five directors are elected to three-year terms, and all club members are eligible to vote.

Consequently, the OFC has little influence in the wider football world, either in terms of international competition or as a source of players for high-profile club competitions.

This article's focus is the modern Western square dance club, and it is understood in the context of this article that when the terms " square dance club " or " square dance " are used it refers to the form of square dance called " modern Western square dance ".

The club offered him contract terms for the 2012-13 season.

However, before this player is allowed to sign with the new club, the current club has a chance to match ( or come within 10 % in some leagues ) the terms of the new contract in which case the player must remain with the original team.

The club now competes in Shepherad neame League and runs 5 league, 7 colts sides and 3 veterans teams making it the biggest cricket club in Harlow in terms of size.

On 22 October 2009, Spanish media announced that Laudrup would be appointed as new manager of Spanish side Atlético Madrid, replacing the short and unsuccessful run of Abel Resino, following Atletico's 4 – 0 Champions League defeat at the hands of Chelsea, but Laudrup and the club weren't able to agree on terms.