Ordinal utility functions are unique up to positive monotone transformations, while cardinal utilities are unique up to positive linear transformations.

Ordinal names are not covered by the International Code of Nomenclature and thus the name and spelling comes down to a matter of personal preference.

Beside these documents, authorised liturgical formularies, such as Prayer Book and Ordinal, are normative.

Ordinal numbers or regnal numbers are used to distinguish among persons with the same name who held the same office.

; Ordinal data: U remains the logical choice when the data are ordinal but not interval scaled, so that the spacing between adjacent values cannot be assumed to be constant.

Intended primarily for his own diocese, the Ordinal of Osmund, regulating the Divine Office, Mass, and Calendar, was used, within a hundred years, almost throughout England, Wales, and Ireland, and was introduced into Scotland about 1250.

The index of the found name is then used to look up the ordinal in the Export Ordinal table.

* Ordinal definable set, a set-theoretic concept of definability that is itself definable in the language of set theory

Ordinal analysis is a powerful technique for providing combinatorial consistency proofs for theories formalising arithmetic and analysis.

#* jjj is the Ordinal date day of the year, with leading zeros

Judging is currently known as Ordinal judging and ratings categorized by Superior, Exceptional, Excellent, and Good.

Ordinal utility theory states that while the utility of a particular good or service cannot be measured using a numerical scale bearing economic meaning in and of itself, pairs of alternative bundles ( combinations ) of goods can be ordered such that one is considered by an individual to be worse than, equal to, or better than the other.

Mummadi is the 3rd Ordinal number or regnal number given to Kings and Queens in Kannada.

* 3 ( number ), such as the 3rd of something-see also Ordinal number ( linguistics )

For day of year, see Ordinal date.

Further developed, and fully translated into English, this Communion service was included, one year later, in 1549, in a full prayer book, set out with daily offices, readings for Sundays and Holy Days, the Communion Service, Public Baptism, of Confirmation, of Matrimony, The Visitation of the Sick, At a Burial and the Ordinal ( added in 1550 ).

However, Edwards states that more of the changes suggested by High Anglicans were implemented ( though by no means all ) and Spurr comments that ( except in the case of the Ordinal ) the suggestions of the ' Laudians ' ( Cosin and Matthew Wren ) were not taken up possibly due to the influence of moderates like Sanderson and Reynolds.

Common infant ability tests include: Gesell Developmental Schedules ( GDS ) which measures the developmental progress of infants, Neonatal Behavioral Assessment Scale ( NBAS ) which tests newborn behavior, reflexes, and responses, Ordinal Scales of Psychological Development ( OSPD ) which assesses infant intellectual abilities, and Bayley-III which tests mental ability and motor skills.

It was compellingly articulated in the development of the 1559 Book of Common Prayer, the Thirty-Nine Articles, the Ordinal, and the two Books of Homilies.

This led to a prolonged controversy ( see vestments controversy ); in his sermons before the king and elsewhere Hooper had denounced the " Aaronic vestments " and the oath by the saints, prescribed in the new Ordinal ; and he refused to be consecrated according to its rites.

The Anglican Ordinal presupposes that the functions of archdeacons include those of examining candidates for ordination and then presenting them to the ordaining bishop.

* Strasnick, T. ( 1981 ) " Neo-utilitarian Ethics and the Ordinal Representation Assumption ", in Philosophy in economics, edited by J. Pitt, Reidel Publishing, 1981.

* Ordinal utility vs. Cardinal utility

* Ordinal utility vs. Cardinal utility

Dominance statistics: Ordinal analyses to answer ordinal questions.

Ordinal Methods for Behavioral Data Analysis.

Ordinal analysis of behavioral data.

Decimal notation often refers to a base-10 positional notation such as the Hindu-Arabic numeral system ; however, it can also be used more generally to refer to non-positional systems such as Roman or Chinese numerals which are also based on powers of ten.

The standard critical practice, however, is to indicate book number in Roman numerals, and chapter title in Arabic, so that III. 2, for example, indicates the second chapter of the third book.

Numerical digit characters, however, are almost identical to Khmer numerals.

Thai and Lao words for numerals are almost identical, however, the numerical digits vary somewhat in shape.

For ordinary cardinal numbers, however, Greece uses Arabic numerals.

The steps follow those of Type 1 Binary Ionic compounds however, since the cation can take on multiple charges, the charge must be written within parentheses in Roman numerals after stating the cation name.

On maps, township numbers are marked in Arabic numerals, but range numbers are often marked in Roman numerals ; however, in other contexts Arabic numerals are used for both.

These traditional numerals cannot be used to count all nouns, however ; some, including nouns for people and animals, require a proper counter.

The Army originally used oak leaf clusters, however it changed to numerals during the Vietnam War when the number of Air Medals awarded became too large to be annotated on a single ribbon.

In most fonts, descenders are reserved for lowercase characters such as g, j, q, p, y, and sometimes f. Some fonts, however, also use descenders for some numerals ( typically 3, 4, 5, 7, and 9 ).

The album's cover displays a clock whose digits are composed of Roman numerals ; the digit in the nine's place, however, is an eleven.

Arabic numerals or Hindu numerals or Hindu-Arabic numerals or Indo-Arabic numerals are the ten digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ).

The reason the digits are more commonly known as " Arabic numerals " in Europe and the Americas is that they were introduced to Europe in the 10th century by Arabs of North Africa, who were then using the digits from Libya to Morocco.

A distinctive West Arabic variant of the symbols begins to emerge around the 10th century in the Maghreb and Al-Andalus, called ghubar (" sand-table " or " dust-table ") numerals, which are the direct ancestor of the modern Western Arabic numerals used throughout the world.

Ghubar numerals themselves are probably of Roman origin.

The first mentions of the numerals in the West are found in the Codex Vigilanus of 976.

The numerals are arranged with their lowest value digit to the right, with higher value positions added to the left.

Hence, from the point of view of the reader, numerals in Western texts are written with the highest power of the base first whereas numerals in Arabic texts are written with the lowest power of the base first.

Sometimes, Roman numerals are still used for enumeration of lists ( as an alternative to alphabetical enumeration ), for sequential volumes, to differentiate monarchs or family members with the same first names, and ( in lower case ) to number pages in prefatory material in books.

Various symbol sets are used to represent numbers in the Hindu-Arabic numeral system, all of which evolved from the Brahmi numerals.

( There are two typographic styles for rendering European numerals, known as lining figures and text figures ).

* The Devanagari numerals used with Devanagari and related variants are grouped as Indian numerals.

The best known AC class is class III or AC-III ( Roman numerals are used for classes ).

These are also sometimes called simply AC1, AC2, etc., and, somewhat confusingly, sometimes Roman numerals are used for these isoforms that all belong to the overall AC class III.

In the revised edition ( BC2 ), only capital letters are used, with numerals occasionally used for special purposes.

Chinese numerals are characters for writing numbers in Chinese.

The more familiar indigenous system are Chinese characters that correspond to numerals in the spoken language.