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EQUIPOTENT. SETS. CARDINALS. 1. THE CARDINAL OF A SET DEFINITION 1 .
A set X is said to be equipatent to a set Y if there exists a bijec- tionofX. onto Y.
The relation "X is equipatent to Y" is denoted by Eq(X, Y). The relations Eq(X, ...
2
Lebesgue Integration on Euclidean Space
F(Bi) is also countable and infinite, and A ~ B ~ B\ and X ~ F(Bi) are equipotent.
Now B U BI is also countable and infinite, so we conclude B U BI and F(Bi) are
equipotent. These two equipotencies imply that A and X are equipotent. QED We
...
3, however, we established a principle expressing the equipotence of two finite
sets (that is, that they have the same number of elements) differently: two finite
sets are equipotent if and only if a one-to-one correspondence can be
established ...
Igor R. Shafarevich, 2003
4
Matrices and Derminoids
CHAPTER XXIV EQUIPOTENT TRANSFORMATIONS OF RATIONAL INTEGRAL
KUNCTIONAL MATRICES [The first three articles of this chapter (with Note 4 of §
219) deal with rational integral functional matrices in general ; the remaining six ...
5
Introduction to Set Theory, Third Edition, Revised and Expanded
It is enough if they check that each patron sits in one, and only one, seat, and
each seat is occupied by one, and only one, theatergoer. 1.1 Definition Sets A
and B are equipotent (have the same cardinality) if there is a one-to-one function
f with ...
Karel Hrbacek, Thomas Jech, 1999
6
General Topology: Chapters 1-4
By considering the dyadic expansion of the numbers of the interval [o, i[ we shall
show that this interval is equipotent to the set S of all sequences (un) in which
each term is equal to o or i. First, it is equipotent to the subset S' of S consisting of
...
7
The Reflection of Life: Functional Entailment and Imminence ...
Since every set itself is its own subset, the converse of the Schroder-Bernstein
Theorem, that if two sets are equipotent then each is equipotent to a subset of the
other, is trivially true. 0.7 Law of Trichotomy 0f Equipotence Two sets are either ...
8
Elementary Set Theory, Part I/II
Sec. B] FINITE SETS 9.1 THEOREM 7.3. (Cantor's Theorem)1 Every set is
equipotent to a proper subset of its power set, but is not equipotent to the power
set itself. PROOF. We first prove that any set A is not equipotent to its power set ^
B(;4).
K.T. Leung, Doris Lai-chue Chen, 1992
9
Event-Based Programming: Taking Events to the Limit
Given two algorithms F and G, and an initial system state SO, F and G are
equipotent if they both produce the final state 81. Definition 5 Two algorithms are
equipotent if they achieve the same goals. Equipotency is expressed using the
symbol ...
10
Fundamental Structures of Algebra and Discrete Mathematics
Then by the Counting Lemma, the predecessors of n and m are equipotent,
contradicting the definition of n.) Thus a natural number is not equipotent to any
of its own elements. This is not true for ordinal numbers in general. For example,
the ...
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Review: Glucagon-Like Peptide 1 (GLP-1) in the Treatment of …
They are two equipotent forms of GLP-1, GLP-1 (7-36)-NH2 and GLP-1 (7-37), the first one being more abundant, which bind to and activate the ... «Genetic Engineering & Biotechnology News, 六月 15»
CMDh endorses EMA committees' review of small cardiovascular …
... are available, a similar cardiovascular risk to that with high-dose of ibuprofen is expected when dexibuprofen is used at equipotent doses (at ... «pharmabiz.com, 五月 15»
Therapeutic Substitution From Atorvastatin to Simvastatin: Impact on …
Objectives: To evaluate the impact of LDL level differences between patients who did and did not switch from atorvastatin to equipotent doses ... «AJMC.com Managed Markets Network, 五月 15»
Ignyta's (RXDX) CEO Jonathan Lim on Q4 2014 Results - Earnings …
The compound shows equipotent activity against the targets in human cell lines in a 60 to 85 nanomolar IC50 range. Importantly, there is no ... «Seeking Alpha, 三月 15»
New Study - Twenty Years of Apomorphine Therapy – How Does it …
Published in 1988, this pivotal trial confirmed that apomorphine was the only clinically available DA that was equipotent to levodopa and it was ... «PR Web, 三月 15»
Incentives for docs of underdeveloped districts
He said that Rs 916 million would be spent on the improvement of infrastructure and provision of bio-medical equipotent to the hospitals. «The Nation, 二月 15»
Built for speed: paranodal junction assembly in high performance …
While ankyrins provide one good lens to view node structure, there are plenty of other equipotent proteins that need to be considered in trying ... «Medical Xpress, 十一月 14»
Antipsychotic Medications for Schizophrenia
... which is equipotent to 150 mg of haloperidol decanoate given every 4 weeks or a daily dose of 20 mg of olanzapine, 10 mg of haloperidol, ... «JAMA: The Journal of the American Medical Association, 十月 14»
The Speed of Hypocrisy: How America Got Hooked on Legal Meth
Amphetamine and methamphetamine, the researchers wrote, are “about equipotent” and “produce qualitatively similar behavioral responses. «Motherboard, 六月 14»
Expression and purification of bioactive, low-endotoxin recombinant …
Comparison with other VTN sources at a coating concentration of 1 µM demonstrated that enhancement of HUVEC adhesion by our rhVTN was equipotent ... «BioTechniques.com, 六月 14»
