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REDUCE: A Program for Reducing Reducible Representations
Journal of Chemical Education, 1998The treatment of symmetry continues to grow in the undergraduate curriculum. Textbooks in physical and inorganic chemistry now treat the subject in considerable detail. Application of symmetry principles to vibrational analysis and to the determination of hybrid orbitals requires the use of the "reduction formula".
James F. O'Brien, Bruno F. Schmidt
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Reduced access, reduced choice, reduced transparency
Business Information Review, 2012Information acquisition and use have been transformed by the internet. An enormous range of resources are more widely available than ever before, contributing to the perception that all information is available on the web. Many internet users complain of 'information surfeit', an inability to negotiate the vast volume of information at their ...
Jacqueline Beattie, Amy Spiegel
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Mathematical Logic Quarterly, 2020
AbstractWe introduce agreement reducibility and highlight its major features. Given subsets A and B of , we write if there is a total computable function satisfying for all , .We shall discuss the central role plays in this reducibility and its connection to strong‐hyper‐hyper‐immunity.
Rachel Epstein, Karen M. Lange
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AbstractWe introduce agreement reducibility and highlight its major features. Given subsets A and B of , we write if there is a total computable function satisfying for all , .We shall discuss the central role plays in this reducibility and its connection to strong‐hyper‐hyper‐immunity.
Rachel Epstein, Karen M. Lange
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European Urology, 2010
This trial investigated the value of the dual-action 5a-reductase inhibitor dutasteride (GlaxoSmithKline, Middlesex, UK) in 8231 men with prostate-specific antigen (PSA) values between 2.5 and 10 ng/ml who had undergone previous negative biopsies. Of these men, 6729 had at least one biopsy and were analyzed and presented as what the authors called the ‘
Schröder, Fritz +1 more
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This trial investigated the value of the dual-action 5a-reductase inhibitor dutasteride (GlaxoSmithKline, Middlesex, UK) in 8231 men with prostate-specific antigen (PSA) values between 2.5 and 10 ng/ml who had undergone previous negative biopsies. Of these men, 6729 had at least one biopsy and were analyzed and presented as what the authors called the ‘
Schröder, Fritz +1 more
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The American Journal of Nursing, 1925
know Sairey Gamp, the famous Dickens character, who stood as a type of her profession during the early part of the 19th Century? Two qualifications appeared to be desirable at that time. The popular conception of a nurse was a woman well along in years and usually fat.
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know Sairey Gamp, the famous Dickens character, who stood as a type of her profession during the early part of the 19th Century? Two qualifications appeared to be desirable at that time. The popular conception of a nurse was a woman well along in years and usually fat.
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MLQ, 2000
In this paper the author studies computational relationships between a relation \(R\) and a countable model \({\mathcal A}\) which are not disturbed by isomorphisms. Let \({\mathcal A}\) be a countable model, and let \(R\) be an extra unary relation on \({\mathcal A}\). Let \(\leq_0\) be a reducibility, and \(k\in\omega\). Then \(R\) is intrisically \(\
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In this paper the author studies computational relationships between a relation \(R\) and a countable model \({\mathcal A}\) which are not disturbed by isomorphisms. Let \({\mathcal A}\) be a countable model, and let \(R\) be an extra unary relation on \({\mathcal A}\). Let \(\leq_0\) be a reducibility, and \(k\in\omega\). Then \(R\) is intrisically \(\
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REDUCIBILITY AND UNIFORM REDUCIBILITY OF ALGEBRAIC OPERATIONS
Mathematics of the USSR-Sbornik, 1974This paper is devoted to a study of the conditions under which one algebraic operation can be expressed in terms of others by some arrangement of parentheses. The terminology is mainly that of Frenkin (MR 44 #6888). It is shown that the class of ?-reducible n-groupoids is axiomatizable, but not elementary, and the class of ?-uniformly reducible n ...
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SSRN Electronic Journal, 2009 This paper takes a skeptical look at a leading argument about what is causing the foreclosure crisis and what should be done to stop it. We use an economic model to focus on two key decisions: the borrower's choice to default on the mortgage and the lender's choice on whether to renegotiate or modify the loan.
Christopher L. Foote +3 more
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Journal of Optimization Theory and Applications, 2007
The notions of exhaustive families of upper convex and lower concave approximations (in the sense of B. N. Pschenichnyi) were introduced by A. M. Rubinov. For some classes of nonsmooth functions, these tools appeared to be very productive and constructive.
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The notions of exhaustive families of upper convex and lower concave approximations (in the sense of B. N. Pschenichnyi) were introduced by A. M. Rubinov. For some classes of nonsmooth functions, these tools appeared to be very productive and constructive.
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ACM SIGSAM Bulletin, 1985
This paper deals with some distinctive characteristics of the REDUCE-2 computer algebra system operating in interactive mode. A brief description of a new version of the system with extended interactive capabilities is presented.
Alexander P. Kryukov, A. Ya. Rodionov
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This paper deals with some distinctive characteristics of the REDUCE-2 computer algebra system operating in interactive mode. A brief description of a new version of the system with extended interactive capabilities is presented.
Alexander P. Kryukov, A. Ya. Rodionov
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