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The major step in proving the existence of a suitable ordinal number for a given
well-ordered set is the preparation for an application of the principle of transfinite
induction to show that each initial segment of a well-ordered set is ordinally ...
2
Handbook of Social Choice & Welfare
Definition 25 An ordinally fuzzy aggregation function is a function that associates
a social ordinally fuzzy binary relation over , denoted ,to an listof individual
ordinally fuzzy binary relations over , denoted . Definition 26 Let bean ordinally
fuzzy ...
Kenneth J. Arrow, A. Sen, Kotaro Suzumura, 2010
3
Semigroup Theory and Its Applications: Proceedings of the ...
... 5j ; , and i < j. Then 5 is a positively ordered semigroup, called the ordinal sum
of the collection {Si-.i £ I}. A positively ordered semigroup is called ordinally
irreducible if it cannot be expressed as an ordinal sum of two or more
subsemigroups.
Alfred Hoblitzelle Clifford, Karl H. Hofmann, Michael W. Mislove, 1996
4
Canadian Mathematical Bulletin
They call an object A a-ordinally bounded for a limit ordinal a if sl(A, -) preserves
the union of (M, a)-sequences. They show that if A is a-ordinally bounded then it
is (M, a)- Barr-small. The category si is ordinally bounded if for each A there is an
...
5
Brouwer's Cambridge Lectures on Intuitionism
If every element of a completely ordered species S is an ordinal limit [in both
senses], then S is said to be ordinally dense-in- itself. (2) the ordinal separability-
in-itself A completely ordered species S is said to be ordinally separable-in-itself
if in ...
Luitzen Egbertus Jan Brouwer, D. van Dalen, Brouwer, 2011
6
Advances in Public Economics: Utility, Choice and Welfare: A ...
Note that a two-person game is strictly competitive if and only if the utility function
u2 is ordinally equivalent to −u1 — which is true iff u1 is ordinally equivalent to −
u2 . Thus, strict competitiveness is necessary and sufficient for a two-person ...
Ulrich U. Schmidt, Stefan Traub, 2006
7
Philosophy of Quine: General, reviews, and analytic
Two series P and Q are ordinally similar under the correspondence R (D811) if R
is a one-to-one correspondence (D810) of the series which preserves order. A
segment of a well-ordered series (D813) consists of all terms which precede a ...
8
Russell: A Guide for the Perplexed
For two relations R and S to be ordinally similar there must first be a 1-1 relation
between the members of each series, that is, between the fields of R and S, just
as with two similar sets. But for two series to be similar, the two fields must also ...
John Ongley, Rosalind Carey, 2013
9
Logical, Algebraic, Analytic and Probabilistic Aspects of ...
2.7.3 Definition A t-norm T which only has a trivial ordinal sum representation (i.e.
, there is no ordinal sum representation of T different from T = ((0, 1,7^))) is called
ordinally irreducible. Complete proofs of the two following results can be found ...
Erich Peter Klement, Radko Mesiar, 2005
10
The Continuum, and Other Types of Serial Order: With an ...
(3) A well-ordered series is never ordinally similar to any one of its lower
segments, or to any part of any one of its lower segments. (4) If two well-ordered
series are ordinally similar, the ordinal correspondence between them can be set
up in ...
Edward Vermilye Huntington, Georg Cantor, 2003
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Miss Uganda is UGLY - Cindy
I salute you cindy That girl is not worth being called miss ug but she is just ok like any other ordinally girl moving about in BWAISE. Posted by ... «Uganda Online, 2월 15»
Quantitative PCR as a predictor of aligned ancient DNA read counts …
Recently, Wales and colleagues (25) demonstrated that qPCR measures of target and non-target molecules in aDNA samples correspond ordinally to HTS data ... «BioTechniques.com, 12월 13»
Market Monopoly Through Austrian Economics Lenses
Interpersonal utility comparisons are impossible, and even intrapersonal preferences are only ordinally ranked. Profits, therefore, are a critical ... «The Market Oracle, 6월 13»
Burn Jita 2 turns Eve Online's most populous system into a warzone …
... corporations brought together by the common need to blow others up for fun) led an incursion into what is ordinally one of Eve's safest and busiest systems. «PCGamesN, 4월 13»
Wyre ft. Juacali - Khadijah remix(OFFICIAL VIDEO)
DANIEL KIRIMI 1 year ago. I love the song the singers as well. wyer- juacali (mundu nuu) wa-ordinally nawapenda kwa hiyo. Read more Show ... «YouTube, 4월 13»
Day 6 at Oregon State, morning practice: James Rodgers involved in …
... a couple floating passes - and this is uncharacteristic - that LT Mike Remmers would ordinally be pointing a shotgun at on Sauvie's Island. «OregonLive.com, 8월 11»
Q. & A.: Sasha Frere-Jones on Ellen Willis
It is a slim book, the largest part of which contains a list of two hundred albums, ranked ordinally according to the weighted crunch of forty-seven ... «New Yorker, 5월 11»
How We Made Our NCAA Picks
These four systems each operate on somewhat different scales — for instance, LRMC only ranks the teams ordinally (e.g. Syracuse is ranked ... «New York Times, 3월 11»
'Glee' Season 2, Episode 6: 'Never Been Kissed'
The girls have to sing songs ordinally sung by guys, and vice versa. They gravitate to hard rock and leather with a physical head-banger of a ... «Wall Street Journal, 11월 10»
A Primer on Austrian Economics
... prefer present satisfaction to future satisfaction, under the condition that the utility of future satisfaction is the same or less, ordinally speaking. «The Market Oracle, 6월 10»
