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Topic: Ordinal

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In the News (Mon 18 Feb 19)

  An Engine Fit For My Proceeding · The experiences in Second Life of Ordinal Malaprop. Scripting, design, ...
I must say that we have not had a Good, Old-Fashioned, Update-Related Scripting Function Break for some considerable length of time, and it is good to see that Tradition is re-establishing itself with the most recent “Rolling Restart”.
September 10, 2007 in Economics, Humour, Society by Ordinal Malaprop
I am not quite sure what to make of this and thus will place it here unedited, but I feel I must mention that the last time I met my brother was when he was up on Weights And Measures charges, for weighing Oranges on an Apple scale.
ordinalmalaprop.com /engine   (2100 words)

 [No title]
The ordinal scale of measurement represents the ranks of a variable's values.
Values measured on an ordinal scale contain information about their relationship to other values only in terms of whether they are "greater than" or "less than" other values but not in terms of "how much greater" or "how much smaller."
In Taguchi experimental design methodology, the repeated measurements of the response variable are often taken in a systematic fashion, with the goal to manipulate noise factors.
www.statsoft.com /textbook/gloso.html   (1463 words)

  Ordinal number - Wikipedia, the free encyclopedia
An ordinal scale defines a total preorder of objects; the scale values themselves have a total order; names may be used like "bad", "medium", "good"; if numbers are used they are only relevant up to strictly monotonically increasing transformations (order isomorphism).
An ordinal is finite if and only if the opposite order is also well-ordered, which is the case if and only if each of its subsets has a greatest element.
Ordinals which don't have an immediate predecessor can always be written as a limit of a net of other ordinals (but not necessarily as the limit of a sequence, i.e.
en.wikipedia.org /wiki/Ordinal_number   (1769 words)

 Kids.net.au - Encyclopedia Ordinal number -
Ordinal numbers, or ordinals for short, are numbers used to denote the position in an ordered sequence: first, second, third, fourth, etc. The mathematician Georg Cantor showed in 1897 how to extend this concept beyond the natural numbers to the infinite and how to do arithmetic with these transfinite ordinals.
Whenever you have two ordinals S and T, S is an element of T if and only if S is a subset of T, and moreover, either S is an element of T, or T is an element of S, or they are equal.
Ordinals which don't have an immediate predecessor can always be written as a limit like this and are called limit ordinals.
www.kids.net.au /encyclopedia-wiki/or/Ordinal_number   (1271 words)

 Ordinal number - Encyclopedia.WorldSearch   (Site not responding. Last check: 2007-11-07)
To multiply the two ordinals S and T you write down the well-ordered set T and replace each of its elements with a different copy of the well-ordered set S. This results in a well-ordered set, which defines a unique ordinal; we call it ST.
There are ordinal numbers which can not be reached from ω with a finite number of the arithmetical operations addition, multiplication and exponentiation.
Arithmetic operations on ordinals can be captured by algorithms that transform Cantor normal forms, similar to, but more complicated than, the algorithms for integer arithmetic in terms of the decimal notation usually taught in primary education.
encyclopedia.worldsearch.com /ordinal_number.htm   (1508 words)

 Crosstabs: Measures for Ordinal Data   (Site not responding. Last check: 2007-11-07)
The ordinal comparison is consistent, the "one cell" is "less than" the "other cell" for both the row comparison and the column comparison.
The ordinal comparison is inconsistent, for the row comparison "one cell" is "less than" the "other cell" but for the column comparison "one cell" is "greater than" the "other cell." For these comparisons the movie which was rated as more violent was rated as having fewer stars.
The ordinal comparison is tied on the row comparison, all these data pairs are said to be tied (T).
web.uccs.edu /lbecker/SPSS/ctabs2.htm   (2343 words)

 Statbox Toolbox for MATLAB: example using ordinal   (Site not responding. Last check: 2007-11-07)
The ordinal logistic regression model is logit(p_ij) = theta(j) + x_i'beta, i = 1,..,length(Y), j = 1,..,k-1, where x_i is the i'th row of X.
Comparing this with the output from ordinal above, we see that the coefficient beta from ordinal is the same as the regression coefficient from R. The coefficient theta from ordinal is minus the intercept coefficient from R. The standard errors are the same in each case.
The deviance from ordinal is the residual deviance from R. The null deviance in R is the same as the residual deviance from the null model, output as the deviance from ordinal above when there was no predictor variable.
www.statsci.org /webguide/matlab/ordinal.html   (640 words)

 Ordinal position in Window types
When a window's ordinal position is changed, its order in the sibling list is also changed, so that the window with ordinal position 0 is always first in the sibling list, the window with ordinal position 1 is next in the list, and so on.
For convenience, the functions for setting ordinal position allow a negative ordinal position to be specified, which sends the window to the back and sets its ordinal position to be the highest among its siblings.
As a result, the z-order of applications on the screen is typically determined by the ordinal positions of their window groups: for example, giving a window group an ordinal position of 0 will typically bring an application to the front of the screen.
www.symbian.com /developer/techlib/v8.1adocs/doc_source/guide/Graphics-subsystem-guide/N100A6/WindowServerGuide2/OrdinalPosition.guide.html   (695 words)

 MITRE - Our Work - Technical Papers - 2000 Technical Papers - Evaluation of Ordinal Ranking Algorithms
The input to an ordinal algorithm is a set of rankings of the items based on one MOE at a time.
Ordinal ranking algorithms are easier to use and less costly to develop than cardinal ones.
A "good" ordinal ranking algorithm is an algorithm that has a high probability of giving the same answer as one of the members of this family.
www.mitre.org /work/tech_papers/tech_papers_00/schmidt_rank_alg   (294 words)

 Ordinal Numbers
When objects are placed in order, we use ordinal numbers to tell their position.
Ordinal numbers are similar to the numbers that you learned before (they are called Cardinal numbers).
If ten students ran a race, we would say that the student that ran the fastest was in first place, the next student was in second place, and so on.
www.aaamath.com /g15-ordinals.html   (99 words)

 PlanetMath: von Neumann ordinal   (Site not responding. Last check: 2007-11-07)
The von Neumann ordinal is a method of defining ordinals in set theory.
The set of finite von Neumann ordinals is known as the von Neumann integers.
This is version 5 of von Neumann ordinal, born on 2002-03-10, modified 2003-02-23.
planetmath.org /encyclopedia/VonNeumannOrdinal.html   (155 words)

 What is the difference between categorical, ordinal and interval variables?
An ordinal variable is similar to a categorical variable.
An interval variable is similar to an ordinal variable, except that the intervals between the values of the interval variable are equally spaced.
Sometimes you have variables that are "in between" ordinal and interval, for example, a five-point likert scale with values "strongly agree", "agree", "neutral", "disagree" and "strongly disagree".
www.ats.ucla.edu /stat/mult_pkg/whatstat/nominal_ordinal_interval.htm   (940 words)

 Mudd Math Fun Facts: Ordinal Numbers
Ordinal numbers even have an interesting arithmetic: we can add two ordinals by concatenating their order types, and considering the ordinal that represents the new order type.
Thus ordinal multiplication is not necessarily commutative, either, because (2)(omega) is (omega) which is not the same order time as (omega)(2).
Ordinal numbers form the basis of transfinite induction which is a generalization of the principle of induction.
www.math.hmc.edu /funfacts/ffiles/30003.8.shtml   (590 words)

 Ordinal Distance Tutorial
Ordinal scale play very important role in behavioral survey because it is relatively easy to design, easy to answer by respondent.
Distance for ordinal variables is a measure of spatial disorder between two rank / ordering vectors.
The different between several distances of ordinal variables are based on the type of operations.
www.people.revoledu.com /kardi/tutorial/Similarity/OrdinalVariables.html   (481 words)

 PlanetMath: ordinal number   (Site not responding. Last check: 2007-11-07)
There is a theory of ordinal arithmetic which allows construction of various ordinals; for example, all the numbers 0,
This is version 3 of ordinal number, born on 2002-01-05, modified 2004-03-17.
Re: a post for entry "ordinal number" by mathforever
planetmath.org /encyclopedia/Ordinal.html   (166 words)

 Ordinal Numbers
For example, if ten students ran a race, the student who ran the fastest would be in first place, the next student wold be in second place, and then there would be third, fourth, fifth, sixth, seventh, eighth, ninth, and tenth places.
The first ten ordinal numbers are : first, second, third, fourth, fifth, sixth, seventh, eighth, ninth, and tenth.
Next to the ordinal numbers the students have written on their papers, the students write the name of the object that goes with the number.
www.glc.k12.ga.us /BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=15128   (492 words)

 Ordinal scale   (Site not responding. Last check: 2007-11-07)
Measurements with ordinal scales are ordered in the sense that higher numbers represent higher values.
For example, on a five-point rating scale measuring attitudes toward gun control, the difference between a rating of 2 and a rating of 3 may not represent the same difference as the difference between a rating of 4 and a rating of 5.
There is no "true" zero point for ordinal scales since the zero point is chosen arbitrarily.
davidmlane.com /hyperstat/A30633.html   (110 words)

 Elementary Test Prep: Math 4 Test (Grades 3-4)Ordinal Numbers   (Site not responding. Last check: 2007-11-07)
The ordinal number for e is 5th or fifth.
The ordinal number for 50 is 50th or fiftieth.
The ordinal number for 100 is 100th or one hundredth.
www.oswego.org /testprep/math4/d/ordinalp.cfm   (129 words)

 Spanish Grammar: ordinal numbers
Like many other adjectives, the ordinal numbers have a masculine and a feminine form.
So, the ordinal numbers have four forms, just like other adjectives that end in -o.
Ordinal numbers are not normally used after 10.
www.studyspanish.com /lessons/ordnum.htm   (84 words)

 Ordinal Calculator
As for (c2) and (d1), a cofinal subset of the required type can easily be constructed and it can be shown that any greater cofinality of the result would imply a greater cofinality of the operand (the contradiction).
As for (d3), if we suppose b to be the least ordinal such that there exists an ordinal a that the proposition fails, we get a contradiction from the fact that cf (a^b) = cf (a^{b-1}) here.
Ordinal expressions with variables can also be formally manipulated, but the rules of ordinal arithmetics do not allow full control of getting the result.
www.volny.cz /behounek/logic/papers/ordcalc   (1378 words)

 Ordinal Month
Ordinal numbers are numbers used to tell position or order.
Ordinal numbers are usually used to describe what position something has.
That means that the cardinal number, 21 (twenty-one), becomes the ordinal number 21st (twenty-first).
esl.lbcc.cc.ca.us /eesllessons/month/ordinalmonth.htm   (196 words)

 A general class of hierarchical ordinal regression models with applications to correlated ROC analysis - Ishwaran, ...   (Site not responding. Last check: 2007-11-07)
Abstract: The authors discuss a general class of hierarchical ordinal regression models that includes both location and scale parameters, allows link functions to be selected adaptively as finite mixtures of normal cumulative distribution functions, and incorporates flexible correlation structures for the latent scale variables.
Another popular cumula3 tive ordinal regression model for analysis of diagnostic data is the predictive...
A general class of hierarchical ordinal regression models with applications to correlated ROC analysis.
citeseer.ist.psu.edu /ishwaran00general.html   (608 words)

 ORDINAL REAL NUMBERS 1   (Site not responding. Last check: 2007-11-07)
Their definition uses the Hessenberg operations of the ordinal numbers.It may be considered as making use of an infinite dimensional K-theory  which  is mainly not created yet.
We fix a mapping h for each ordinal that is contained in F.So we can talk about the set of ordinals contained in F as if it is a subset of F.The set of  ordinal  numbers  that  are contained in a linearly ordered  set-field,  is  obviously  a non-empty set.
The ordinal integers are  semigroup-rings of quotient monoids of semigroups that are used to define as semigroup-rings  the hierarchy of integral domains of the transfinite  integers  (see  [Gleyzal A. pp  586).I  use  the term hierarchy not only as a well ordered sequence but also as a net (thus partially ordered).
softlab.ntua.gr /~kyritsis/PapersInMaths/InfinityandStochastics/OR1.htm   (3795 words)

It is surprising that in one of the consequences of the theory of ordinal real numbers, it is proved a far more advanced and complete result for the whole category of order types that has as corollary the previous important and elementary arithmetisation.
In other words the fields of ordinal real numbers are Archemidean complete fields (although they may be non-Archemidean).But this is a characteristic property of the fields of transfinite real numbersb of Glayzal.
But this is a characteristic property of the fields of the ordinal real numbers.Hence they are order and  field  isomorphic  with  fields  of ordinal  real  numbers .Thus  the ordinal  real  numbers  should   be considered as a different technique,nevertheless indispensable and more far reaching.It is the technique  that  everyone  would  like  to work.
www.softlab.ntua.gr /~kyritsis/PapersInMaths/InfinityandStochastics/OR2.htm   (2766 words)

 Ordinal Optimization
Ordinal Optimization has been applied on a 10-node network, where it is shown that we can isolate a good design with high probability with relatively short simulations, instead of long simulations.
A crucial issue to apply Ordinal Optimization is the ability of knowing when we are confident or satisfied enough with the ordinal results, e.g., a good subset has been determined with high probability.
To fully utilize the advantages of ordinal Optimization, in this subject, we are developing effective approaches to quantify the simulation confidence level, particularly for large discrete-event systems.
mason.gmu.edu /~cchen9/oo.html   (727 words)

 Ordinal Numbers   (Site not responding. Last check: 2007-11-07)
Then show the children the ordinal word cards, attached here, and have them match the word to the toy in that position in line until all are matched correctly.
Give each child one ordinal word card to hold being sure they are in mixed up order.
Students must choose the correct ordinal word to tell the position of the orange cat.
www.glc.k12.ga.us /BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=11209   (715 words)

A new Ordinal or Order for making bishops, priests, and deacons was compiled, from which in like manner all mention of the sacrificial office of the priesthood was rigorously excluded.
Notable portions of the baptismal, marriage, and confirmation services are derived from the "Simplex et Pia Deliberatio" which was compiled by the Lutheran Hermann von Wied, with the aid of Bucer and Melanchthon.
In making a liturgical reform, it was by the necessity of the case impossible that the changes made should not have reference to them, standing as they did, in the relation of terminus a quo to a terminus ad quem of reformation.
www.newadvent.org /cathen/01498a.htm   (5574 words)

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