Improving the Average Delay of Sorting.

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Clinical Guidelines
Authored By
Hutchison, David, Kanade, Takeo, Kittler, Josef, Kleinberg, Jon M., Mattern, Friedemann, Mitchell, John C., Naor, Moni, Nierstrasz, Oscar, Rangan, C. Pandu, Steffen, Bernhard, Sudan, Madhu, Terzopoulo
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Cardiology
Speciality
Cardiology
Book Detail
volume
142
ISSN
9783540725039
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Methods A comprehensive literature search was conducted from January 1, 2010, to April 30, 2020, encompassing studies, reviews, and other evidence conducted on human subjects that were published in English from PubMed, EMBASE, the Cochrane Collaboration, Agency for Healthcare Research and Quality reports, and other relevant databases. Structure Many recommendations from the earlier hypertrophic cardiomyopathy guidelines have been updated with new evidence or a better understanding of earlier evidence. This summary operationalizes the recommendations from the full guideline and presents a combination of diagnostic work-up, genetic and family screening, risk stratification approaches, lifestyle modifications, surgical and catheter interventions, and medications that constitute components of guideline directed medical therapy. For both guideline-directed medical therapy and other recommended drug treatment regimens, the reader is advised to follow dosing, contraindications and drug-drug interactions based on product insert materials.","url":"https:\/\/search.ebscohost.com\/login.aspx?direct=true&db=mdl&AN=33215938","isPdfLink":false,"isSAML":true,"an":"33215938","number_other":"","type_pub":"","issn_electronic":"1524-4539","languages":"English","language":"eng","date_entry":"Date Created: 20201120 Date Completed: 20211206 Latest Revision: 20231109","date_update":"20240105","titleSource":"Circulation [Circulation] 2020 Dec 22; Vol. 142 (25), pp. e533-e557. Date of Electronic Publication: 2020 Nov 20.","date_pub_cy":"","type_document":"","contract_publisher":"","authored_on":"2020-12-22","description":"Aim This executive summary of the hypertrophic cardiomyopathy clinical practice guideline provides recommendations and algorithms for clinicians to diagnose and manage hypertrophic cardiomyopathy in adult and pediatric patients as well as supporting documentation to encourage their use. Methods A comprehensive literature search was conducted from January 1, 2010, to April 30, 2020, encompassing studies, reviews, and other evidence conducted on human subjects that were published in English from PubMed, EMBASE, the Cochrane Collaboration, Agency for Healthcare Research and Quality reports, and other relevant databases. Structure Many recommendations from the earlier hypertrophic cardiomyopathy guidelines have been updated with new evidence or a better understanding of earlier evidence. This summary operationalizes the recommendations from the full guideline and presents a combination of diagnostic work-up, genetic and family screening, risk stratification approaches, lifestyle modifications, surgical and catheter interventions, and medications that constitute components of guideline directed medical therapy. For both guideline-directed medical therapy and other recommended drug treatment regimens, the reader is advised to follow dosing, contraindications and drug-drug interactions based on product insert materials.","upload_link":"https:\/\/dx.doi.org\/doi:10.1007\/978-3-540-72504-6_30","no_of_pages":"","authored_by":"Ommen SR, Mital S, Burke MA, Day SM, Deswal A, Elliott P, Evanovich LL, Hung J, Joglar JA, Kantor P, Kimmelstiel C, Kittleson M, Link MS, Maron MS, Martinez MW, Miyake CY, Schaff HV, Semsarian C, Sorajja P","additionalInfo":{"Authored_By":"Hutchison, David, Kanade, Takeo, Kittler, Josef, Kleinberg, Jon M., Mattern, Friedemann, Mitchell, John C., Naor, Moni, Nierstrasz, Oscar, Rangan, C. Pandu, Steffen, Bernhard, Sudan, Madhu, Terzopoulos, Demetri, Tygar, Doug, Vardi, Moshe Y., Weikum, Gerhard, Cai, Jin-Yi, Cooper, S. Barry, Zhu, Hong, Jakoby, Andreas, Li\u015bkiewicz, Maciej","Published_Date":"2007-01-01","Source":"Theory & Applications of Models of Computation (9783540725039); 2007, p330-341, 12p","Languages":"English","Title_Abbreviations":"Theory & Applications of Models of Computation (9783540725039)"},"header":{"DbId":"edb","DbLabel":"Complementary Index","An":"33215938","RelevancyScore":"848","PubType":"Book","PubTypeId":"book","PreciseRelevancyScore":"847.899108886719"},"plink":"https:\/\/search.ebscohost.com\/login.aspx?direct=true&site=eds-live&db=edb&AN=33215938&authtype=shib&custid=ns346513&group=main&profile=eds"}
ISSN
1524-4539
IS_Ebsco
true
Additional Info
["Hutchison, David, Kanade, Takeo, Kittler, Josef, Kleinberg, Jon M., Mattern, Friedemann, Mitchell, John C., Naor, Moni, Nierstrasz, Oscar, Rangan, C. Pandu, Steffen, Bernhard, Sudan, Madhu, Terzopoulos, Demetri, Tygar, Doug, Vardi, Moshe Y., Weikum, Gerhard, Cai, Jin-Yi, Cooper, S. Barry, Zhu, Hong, Jakoby, Andreas, Li\u015bkiewicz, Maciej","2007-01-01","Theory & Applications of Models of Computation (9783540725039); 2007, p330-341, 12p","English","Theory & Applications of Models of Computation (9783540725039)"]
Description
In previous work we have introduced an average case measure for the time complexity of Boolean circuits - that is the delay between feeding the input bits into a circuit and the moment when the results are ready at the output gates - and analysed this complexity measure for prefix computations. Here we consider the problem to sort large integers that are given in binary notation. Contrary to a word comparator sorting circuitC where a basic computational element, a comparator, is charged with a single time step to compare two elements, in a bit comparator circuitC′ a comparison of two binary numbers has to be implemented by a Boolean subcircuit CM called comparator module that is built from Boolean gates of bounded fanin. Thus, compared to C, the depth of C′ will be larger by a factor up to the depth of CM. Our goal is to minimize the average delay of bit comparator sorting circuits. The worst-case delay can be estimated by the depth of the circuit. For this worst-case measure two topologically quite different designs seems to be appropriate for the comparator modules: a tree-like one if the inputs are long numbers, otherwise a linear array working in a pipelined fashion. Inserting these into a word comparator circuit we get bit level sorting circuits for binary numbers of length m for which the depth is either increased by a multiplicative factor of oder log m or by an additive term of order m. We show that this obvious solution can be improved significantly by constructing efficient sorting and merging circuits for the bit model that only suffer a constant factor time loss on the average if the inputs are uniformly distributed. This is done by designing suitable hybrid architectures of tree compaction and pipelining. These results can also be extended to classes of nonuniform distributions if we put a bound on the complexity of the distributions themselves. [ABSTRACT FROM AUTHOR]
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