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	Cardinal assignment - Wikipedia, the free encyclopedia
		In set theory, the concept of cardinality is significantly developable without recourse to actually defining cardinal numbers as objects in theory itself (this is in fact a viewpoint taken by Frege; Frege cardinals are basically equivalence classes on the entire universe of sets which are equinumerous).
		In modern set theory, we usually use the Von Neumann cardinal assignment which uses the theory of ordinal numbers and the full power of the Axioms of choice and replacement.
		This definition is known as the von Neumann cardinal assignment.
	en.wikipedia.org /wiki/Cardinal_assignment (463 words)

	Cardinal number - Wikipedia, the free encyclopedia
		In linguistics, cardinal numbers is the name given to number words that are used for quantity (one, two, three), as opposed to ordinal numbers, words that are used for order (first, second, third).
		In mathematics, cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set.
		Cardinality is also an area studied for its own sake as part of set theory, particularly in trying to describe the properties of large cardinals.
	en.wikipedia.org /wiki/Cardinal_number (2187 words)

	Catholic World News : New cardinals assigned to titular churches in Rome
		Cardinal Albert Vanhoye, SJ, the former rector of the Pontifical Biblical Institute, became deacon of of St. Mary of Mercy and St. Adrian at Villa Albani.
		Cardinal Carlo Caffarra, Archbishop of Bologna, toJohn the Baptist of the Florentines.
		Cardinal Nicholas Cheong Jin-Suk, Archbishop of Seoul, to Mary Immaculate of Lourdes at Boccea.
	www.cwnews.com /news/viewstory.cfm?recnum=43173 (738 words)

	Von Neumann cardinal assignment - Wikipedia, the free encyclopedia
		The von Neumann cardinal assignment is a cardinal assignment which uses ordinal numbers.
		The smallest ordinal having a given cardinal as its cardinality is called the initial ordinal of that cardinal.
		In this case, it is traditional to identify the cardinal number with its initial ordinal, and we say that the initial ordinal is a cardinal.
	en.wikipedia.org /wiki/Von_Neumann_cardinal_assignment (369 words)

	Cardinal number - QuickSeek Encyclopedia (Site not responding. Last check: 2007-09-23)
		The cardinal numbers were invented by Georg Cantor, when he was developing the set theory now called naive set theory in 1874–1884.
		Naming this cardinal number $\aleph_0$ , aleph-null, Cantor proved that many subsets of N have the same cardinality as N, even if this might be against intuition at first.
		Cantor also developed a lot of the general theory of cardinal numbers; he proved that there is a transfinite cardinal number that is the smallest ( $\aleph_0$ , aleph-null) and that for every cardinal number, there is a next-larger cardinal ( $\aleph_1, \aleph_2, \aleph_3, \cdots$ ).
	cardinalnumber.quickseek.com (1933 words)

	Santa Susanna
		For Cardinals of the Roman Catholic Church are clerics who are taken from one place and "attached to another, "in order that their service might be of use to the Pope, to provide the Holy Father "greater flexibility" as he administers the world church.
		From the reign of Leo IX (1048-1054), cardinals were the principal counselors of the pope, and by naming reformed minded clerics to this position, popes began to transform the pastoral life of the church in Rome.
		(Cardinal Giovanni Borgia was a nephew of Rodrigo Borgia (Pope Alexander VI) and cousin to Cesare and Lucrezia Borgia.
	www.santasusanna.org /ourUniqueHistory/cardinals.html (4291 words)

	Cardinality - QuickSeek Encyclopedia (Site not responding. Last check: 2007-09-23)
		In mathematics, the cardinality of a set is a measure of the "number of elements of the set".
		The relation of having the same cardinality is called equinumerosity, and this is an equivalence relation on the class of all sets.
		The cardinality of the natural numbers is denoted aleph-null ( ${\aleph_0}$ ), while the cardinality of the real numbers is denoted $\mathbf{c}$ .
	cardinality.quickseek.com (716 words)

	Assignment Contract -- Recommendations and Resources
		In education, an assignment is a synonym for homework.
		Demand assignment is similar to conventional telephone switching, in which common trunks are provided for many users, on a demand basis, through a limited-size trunk group.
		The assignment problem is a special case of another optimization problem known as the transportation problem, which is a special case the maximal flow problem, which in turn is a special case of a linear program.
	www.becomingapediatrician.com /health/8/assignment-contract.html (995 words)

	More on Cardinal Numbers
		Naming this cardinal number \aleph_0, aleph-null, Cantor proved that many subsets of N have the same cardinality as N, even if this might be against intuition at first.
		Cantor also developed a lot of the general theory of cardinal numbers; he proved that there is a transfinite cardinal number that is the smallest (\aleph_0, aleph-null) and that for every cardinal number, there is a next-larger cardinal (\aleph_1, \aleph_2, \aleph_3, \cdots).
		It can also be proved that the cardinal \aleph_0 (aleph-0, where aleph is the first letter in the Hebrew alphabet, represented א) of the set of natural numbers is the smallest infinite cardinal, i.e., that any infinite set admits a subset of cardinality \aleph_0.
	www.artilifes.com /cardinal-numbers.htm (2039 words)

	ipedia.com: Cardinal number Article (Site not responding. Last check: 2007-09-23)
		The cardinal numbers were invented by George Cantor, when he was developing the Naïve set theory in 1874–1884.
		He called these cardinal numbers transfinite cardinal numbers, and defined all sets that had a one-to-one correspondence with N to be denumerably infinite setss.
		It can also be proved that the cardinal (aleph-0, where aleph is the first letter in the Hebrew alphabet, represented by the Unicode character א) of the set of natural numbers is the smallest infinite cardinal, i.e., that any infinite set admits a subset of cardinality.
	www.ipedia.com /cardinal_number.html (1888 words)

	Cardinal number - Iridis Encyclopedia (Site not responding. Last check: 2007-09-23)
		In mathematics, cardinal numbers, or cardinals for short, are numbers used to denote the size of a set.
		It is provable that the cardinality of the real numbers is greater than that of the natural numbers just described.
		The latter cardinal number is also often denoted by c; it is the cardinality of the set of real numbers, or the continuum, whence the name.
	www.iridis.com /Cardinal_number (1869 words)

	Boston Globe / Spotlight / Abuse in the Catholic Church / Cardinal Law and the laity
		Cardinal Bernard F. Law met yesterday in Rome with Pope John Paul II, nearly a year after Law stepped down as archbishop of Boston and as some church-watchers say they expect Law to get a new assignment from the church.
		"Cardinal Law remains in the pope's and the Vatican's good graces, notwithstanding the scandal he left behind in Boston," said the Rev. Richard P. McBrien, a theologian at the University of Notre Dame.
		He is a cardinal-elector, entitled to vote in the election of the next pope, until his 80th birthday, and he serves on seven Vatican congregations, which are the agencies that oversee the global church.
	www.boston.com /globe/spotlight/abuse/stories5/112203_law.htm (669 words)

	The Catholic Standard - News
		His first assignment was as associate pastor at the Shrine of the Most Blessed Sacrament in Washington for three years.
		His first assignment was as associate pastor of Little Flower Parish in Bethesda, where he served for a year.
		His first assignment was as associate pastor of St. Joseph Parish in Beltsville, where he served for two years.
	www.cathstan.org /news/06-06-02/2.shtml (909 words)

	Modula-2 tutorial: The simple Modula-2 data types
		Constants in an expression are assumed to be of the same type as the variables in the expression and they must agree.
		For that reason, the expression in line 35 is invalid because (-112) is required to be a CARDINAL constant but it is negative and therefore not CARDINAL.
		CARDINAL and CHAR types can also be compared to their own types, but none of the four can be compared directly to each other.
	www.modula2.org /tutor/chapter3.php (4014 words)

	Boston Globe / Spotlight / Abuse in the Catholic Church
		Cardinal Law, you always understood during this entire period from 1984 to 1989, that the sexual molestation of young children was something that was morally reprehensible?
		Q: Cardinal, when you made the assignment of John Geoghan to St. Julia's, I think you testified that you were aware of one situation at St. Brendan's in Dorchester when you made the assignment where Father Geoghan was accused of sexual misconduct.
		When these decisions are made, Cardinal, there is a balancing, as I think we've covered before, concerning the potential for re-offense versus the priest's desire to be placed in an assignment.
	www.boston.com /globe/spotlight/abuse/shanley/law_deposition/101602_entire.htm (14045 words)

	Cardinal Stritch University
		Cardinal Stritch University is the second-largest independent university in the state and the largest Franciscan institution of higher education in the nation.
		Cardinal Stritch University is adding a new graduate program in Religious Studies starting in the fall of 2006, the Master of Arts in Ministry.
		Cardinal Stritch University is the second-largest independent institution of higher education in Wisconsin and the largest Franciscan Catholic college in North America.
	www.stritch.edu /index.php?page=41 (2112 words)

	Law Dep Section 2
		Cardinal, this is the original Exhibit 8 from Bishop Daily's deposition.
		As I indicated earlier, my policy would have been that an assignment of this kind would be contingent upon a professional opinion that such an assignment would be appropriate.
		The question to the Cardinal is what does he remember, what does he know, and he's answered that.
	www.english.ilstu.edu /slstewa2/English248/LawDepo2.htm (5119 words)

	Catholic World News : New Prefect for Congregation for Evangelization
		And Cardinal Tomko, who is 77, had submitted his resignation two years ago, as required, upon reaching the age of 75.
		Cardinal Sepe, a native of Naples, served in the Vatican diplomatic corps, the Secretariat of State, and the Congregation for Clergy before his appointment to the Jubilee committee.
		Cardinal Sepe called that continent the great hope of the Church in the third millennium.
	www.cwnews.com /news/viewstory.cfm?recnum=15242 (353 words)

	DC NEWS FROM ROME FOR FEBRUARY 21 (feb21nr1.htm)
		The cardinal is thus incardinated as a member of the clergy of Rome, and thus eligible to Rome in a conclave to select the Bishop of Rome.
		Counting the new members, the College of Cardinals will have 184 members, of whom 135 will be under the age of 80 and thus eligible to vote in a papal conclave.
		The representation from other continents will be: Africa, 16 cardinals and 13 electors; Asia 17 cardinals and 13 electors; North America 18 cardinals and 14 electors; Latin America 33 cardinals and 26 electors; Oceania 4 cardinals, all of them electors.
	www.dailycatholic.org /issue/2001Feb/feb21nr1.htm (440 words)

	Von Neumann cardinal assignment - Encyclopedia, History, Geography and Biography
		So (assuming the axiom of choice) we identify ω with $\aleph_0$ , except that the notation $\aleph_0$ is used when writing cardinals, and ω when writing ordinals (this is important since $\aleph_0^2=\aleph_0$ whereas $\omega^2>\omega$ ).
		This encyclopedia, history, geography and biography article about Von Neumann cardinal assignment contains research on
		Von Neumann cardinal assignment, Initial ordinal of a cardinal, See also and Cardinal numbers.
	www.arikah.com /encyclopedia/Von_Neumann_cardinal_assignment (345 words)

	Von Neumann cardinal assignment: Encyclopedia topic (Site not responding. Last check: 2007-09-23)
		The von Neumann (von Neumann: United States mathematician who contributed to the development of atom bombs and of stored-program digital computers (1903-1957)) cardinal assignment is a cardinal assignment (cardinal assignment: the goal of a cardinal assignment is to assign to every set a a specific, unique set...
		[follow hyperlink for more...]) set U, we define its cardinal number (cardinal number: The number of elements in a mathematical set; denotes a quantity but not the order) to be the smallest ordinal number equinumerous (equinumerous: the study of cardinality is often called equinumerosity....
		See also ordinal number (ordinal number: The number designating place in an ordered sequence), cardinal number (cardinal number: The number of elements in a mathematical set; denotes a quantity but not the order), cardinal assignment (cardinal assignment: the goal of a cardinal assignment is to assign to every set a a specific, unique set...
	www.absoluteastronomy.com /reference/von_neumann_cardinal_assignment (281 words)

	Partha Chakroborty, Professor, CE, IIT Kanpur
		In the literature equilibrium assignment technique is suggested for such case.The equilibrium assignment technique is used in two different ways in O-D matrix estimation; (i) solving the mathematical programming (MP) formulation of equilibrium assignment technique for O-D matrix elements and (ii) using equilibrium assignment technique to obtain route choice properties which define link flow constraints.
		In this dissertation a flow dependent multi-path fuzzy inference based assignment technique is proposed for route choice.The proposed assignment technique is used to obtain the route choice proportions which along with the observed link flows are then used in the O-D matrix estimation.
		Results from various experiments on a test network using for different assignment techniques namely (i) incremental capacity restraint technique (ii) Dial's STOCH technique (iii) equilibrium technique and (iv) proposed (fuzzy inference based) technique show that O-D matrix estimates using the proposed assignment technique are good for a variety of flow patterns observed on the network.
	home.iitk.ac.in /~partha/reddy1998.htm (1053 words)

	5.6 Arrays as Parameters
		As indicated by two of the examples in the last section, entire arrays (or their individual elements, as appropriate) may be passed to procedures as parameters.
		As in all other such cases, an actual value parameter passed must be assignment compatible with the formal value parameter found in the procedure declaration.
		However, in the procedure, the indexing will be by cardinal values starting at zero, and not by the values of the formal index parameter type.
	www.arjay.bc.ca /Modula-2/Text/Ch5/Ch5.6.html (1288 words)

	CNN.com - Cardinal Law denies being transferred to Rome - April 26, 2002
		PHILADELPHIA, Pennsylvania (CNN) -- Beleaguered Boston Cardinal Bernard Law denied a published report Friday that he would be leaving Boston and taking an assignment at the Vatican in the wake of the child sex abuse scandal involving priests in the United States.
		Law himself did not respond to reporters' questions about the Herald report as he left his Philadelphia hotel under heavy security for the Cathedral Basilica of Saints Peter and Paul where a Mass was held in advance of the fund-raiser.
		At Friday's new conference, Cardinal Anthony Bevilacqua, Philadelphia's archbishop, said all cardinals are united on developing a so-called "zero tolerance" policy to dismiss any priest who is guilty of sexual abuse of children.
	archives.cnn.com /2002/US/04/26/church.sex.abuse (805 words)

	Catholic Leader online
		The Vatican announced that the Pope accepted the retirement of the head of the migrants' council, Japanese Cardinal Stephen Fumio Hamao, who turned 76 on March 9.
		Cardinal Poupard's assignment as president of the Pontifical Council for Interreligious Dialogue filled a post made vacant after the Pope on February 15 named its former head, Archbishop Michael Fitzgerald, to be the new ambassador to Egypt and the Arab League.
		Cardinal Poupard said he was surprised by his appointment, especially since he is 75, the age when bishops must submit their resignations.
	catholicleader.com.au /index.php?id=2898 (156 words)

	Vatican Information Service (Site not responding. Last check: 2007-09-23)
		Cardinal Stephen Fumio Hamao, president of the Pontifical Council for the
		Cardinal Gustaaf Joos of the diocese of Ghent, Belgium: Diaconate of St.
		Cardinal Tomas Spidlik, S.J., of the Czech Republic: Diaconate of St.
	www.scmo.org.uk /_titles/vatican_view.asp?id=326 (1392 words)

	CNS STORY: Pope temporarily merges four Vatican councils under two presidents
		Cardinal Poupard's assignment as president of the Pontifical Council for Interreligious Dialogue filled a post made vacant after the pope Feb. 15 named its former head, Archbishop Michael Fitzgerald, to be the new ambassador to Egypt and the Arab League.
		The pope decided "in order to favor a more intense dialogue between people of culture and members of various religions," to unite "for the time being, the presidency of the Pontifical Council for Interreligious Dialogue with that of the Pontifical Council for Culture," the Vatican said in a written statement.
		The cardinal said the pope sees an "intrinsic link between the intercultural and interreligious dimensions." He recalled a speech the pope made during a meeting with Muslims Aug. 20 in Cologne, Germany, when he told the president of the Turkish Muslim Union that "interreligious and intercultural dialogue is a vital necessity."
	www.catholicnews.com /data/stories/cns/0601443.htm (993 words)

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