However, techniques are available to transform the ordinalutility function - into a cardinal one.
The construction of anOrdinal Utility Function is, thus, made simple.
There is not known to be a single ordinal form of insect extinct.
The proportion of extinct ordinal types of animals to the existing types, therefore, does not exceed seven per cent.
In Compound Ordinal Numbers, the groups of hundreds, tens, units, etc.
If the ordinal expression of number be used on the title-page, the figures may be given, and the ordinal termination omitted.
The whole lapse of geological time has as yet yielded not a single new ordinal type of vegetable structure.
There is no known extinct order of Birds, and no certainly known extinct order of Mammals, the ordinal distinctness of the "Toxodontia" being doubtful.
The definition of the ordinal number 1 requires some little ingenuity owing to the fact that no serial relation can have a field whose cardinal number is 1; but we must omit here the explanation of the process.
The first rose of summer" and "the last rose of summer" are parallel phrases, yet one explicitly introduces an ordinal number and the other does not.
The ordinal number 0 is the class whose sole member is the null relation--that is, the relation which never holds between any pair of entities.
It is evident that the ordinal similarity of two relations implies the cardinal similarity of their fields, but not conversely.
These relation-numbers are the infinite ordinal numbers.
This relation-number is the ordinal number corresponding to n; let it be symbolized by n.
That first discovered is known as Burali-Forti's contradiction,[6] and consists in the proof that there both is and is not a greatest infinite ordinal number.
Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal arithmetic and ordinal arithmetic correspond point by point.
Also in addition to the cardinal numbers there are the ordinal numbers: the fifth apple and the tenth pear claim thought.
We really, however, do not see any necessity for either of these Services in American Books, as with us the Ordinal always, now, makes a part of the Prayer Book in all editions.
The Ordinal and Articles are substantially identical with the English Ordinal and Articles, save in the matter of a reference to the Athanasian Creed and several references to the connection of Church and State.
The Ordinal does not belong to the Prayer Book proper, but has a separate identity of its own.
The proportion of extinct ordinal types of animals to the existing types, therefore, does not exceed seven per cent--a marvellously small proportion when we consider the vastness of geologic time.
They use the ordinal numerals for this purpose also.
From the ordinal (§ 416,a) is formed pangúna first.
Ordinal Numerals», derived in most cases from the cardinals and answering the question in what order?
Learn the first twenty of the ordinal numerals (§478).
The ordinal name for the genera and species of Amphioxus is Cephalochorda, the term referring to the extension of the primary backbone or notochord to the anterior extremity of the body; the family name is Branchiostomidae.
What is said of twain, twenty, score, and theordinal numbers?
The affected use of cardinal, instead of ordinal numbers, ought not to be imitated.
Whales and dolphins being thus demonstrated to be nothing more than highly modified Carnivora, might almost be included in the same ordinal group.
Whether the extinct Tillodontia are most nearly allied to the Rodentia, the Carnivore or the Ungulata, and whether they are really entitled to constitute an ordinal group by themselves, must remain for the present open questions.
Euplexoptera: with beautifully folded wings: anordinal term applied to the ear-wigs.
Collembola: an ordinalterm applied to species which are apterous; have no metamorphoses; have variably developed abdominal saltatorial appendages and a peculiar ventral tube at base: the spring-tails.
Dictyoptera: an ordinal term applied to the roaches: also more generally, to the Orthoptera.
Heteroptera: an ordinal term applied to that series of Hemiptera in which the anterior wings differ in texture from the posterior, and the different regions of primaries differ in texture.
Diploglossata: an ordinal term proposed for Hemimeridae, because of the supposed presence of a second labial segment.
Homoptera: an ordinal term applied to those Hemiptera in which the primaries are of the same consistence throughout.
The ordinal numbers arising therefrom do not represent quantities, nor do they represent the only possible type of arrangement, but they are again the simplest of all.
And he proves very exactly that the resulting logical relation is precisely identical, in all its properties, with the fundamental ordinal relation of geometry.
I refer to the logical identity which Dedekind first pointed out between the mathematical concept of the ordinal number of series and the philosophical concept of the formal structure of an ideally completed self.
The very first step, then, in the reflective transformation of things resolves them into a dual system, the world conceived as a cardinal whole that is made up of its ordinal parts, and exactly equal to them.
The whole of geometry, for instance, including metrical geometry, can be developed from a set of postulates which demand the existence of points that stand in certain ordinal relationships.
In the same way, the theory of whole numbers can be reduced to sets of principles which demand the existence of certain ideal objects in certain simple ordinal relations.
Dedekind and Peano have worked out such ordinaltheories of the number concept.
In consequence of our frequent intercourse he had contracted the friendly practice of speaking to me in the second person singular; but he never wrote to me is that style.
I paused at last, scanning a multi-ordinal structure of pattern within pattern; the diagrammed circuits of a strange machine.
I could no more direct the bomb to a desert without a five-fold grasp of its multi-ordinal spatial, temporal, and entropic co-ordinates than I could fire a rifle at a target in the dark.
Note that the ordinal numbers are linked by hyphens.
In the ordinal words of our question there is no cutting off from the end, but only substitution of a figure for the numeral part of the word, with the same ordinal termination that is used in the word when spelled out.
Possibly the doubt arose from the fact that the Germans do make abbreviations of ordinal words by using a figure and a period, omitting the termination, as “21.
Definitions Missing The Ordinal Index lists "Coriarieæ" without a page reference and it does NOT occur in the book's text.
But in order to give some clew to the propagation of any which are omitted, an ordinal index has been added, by which one can search out plants of a given natural order or family.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "ordinal" in a variety of sentences. We hope that you will now be able to make sentences using this word.
