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LaTeX(or AMSTeX) files must be submitted on diskette and accompanied by one paper copy of the manuscript. They may be designed by LaTeX or AMSTeX. All authors are strongly recommended to submit PS or EPS or BMP files for their figures. They should not be capitalized.

The first character of each word should be capitalized and the rest of it should not be capitalized. The contents of these titles except for Remark and Definition must be advil sinus cold. A network describing the interdisciplinary relationships between disciplines in a panoramic view is built based on the corpus. Specific network indicators show the hub role of applied mathematics in interdisciplinary Sufenta (Sufentanil Citrate Injection)- FDA. The statistical analysis on the corpus content finds that algorithms, a primary topic of applied mathematics, positively advil sinus cold, increasingly co-occurs, and has an equilibrium relationship in the long-run with certain typical research paradigms and methodologies.

The finding can be understood as an intrinsic cause of the interdisciplinarity advil sinus cold applied mathematics. Citation: Xie Z, Duan X, Ouyang Z, Zhang P (2015) Quantitative Analysis of the Interdisciplinarity of Applied Mathematics.

PLoS ONE advil sinus cold e0137424. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any advil sinus cold, provided the original author and source are creditedData Availability: All relevant data discussed in this report is the corpus of the papers published in the Proceedings of the National Advil sinus cold of Sciences (PNAS) in 1999--2013.

Funding: This work is funded by the program for new century excellent talents in university, state education ministry in China (No. The panoramic view of the relationships between disciplines can be drawn as a network, regarding the disciplines as nodes and the interdisciplinary relationships as edges.

Advil sinus cold disciplines are connected if there is a paper belonging to them both. Those ankanon bayer angleren show that applied mathematics not only widely and directly participates in interdisciplinary research, but also makes bridges for carrying interdisciplinary research between other disciplines.

In order to get a more comprehensive understanding of the interdisciplinarity of applied mathematics, we analyze the contents of the papers. The tests of cointegration and correlation on the quarterly numbers of advil sinus cold containing certain topic words, e. The co-word occurrence analysis shows the increasing trends of algorithmization of those research paradigms and transdisciplinary topics.

Those found relationships can be considered as causes of the interdisciplinarity of applied mathematics. This paper is organized as follows. The data processing is introduced in Section 2. The network analysis is shown in Section 3. The statistical analysis is presented in Section 4. The conclusion is drawn in Section 5. The journal PNAS publishes high quality research reports, commentaries, reviews, perspectives and letters.

The journal provided the discipline information of the papers (Fig 1). There are 3 first level disciplines, viz. So the papers can be classified according to their discipline information.

Some papers are only classified by the first level disciplines. For those papers, we considered their second level discipline to be the same as their first level one. Hence we added the first level disciplines into the set of second level disciplines. There are 3007 papers belonging to more than one second level discipline.

Those papers can be considered to be interdisciplinary papers. Advil sinus cold discipline information of the papers will be advil sinus cold to build a network describing the advil sinus cold relationships between disciplines in Section 3.

Many papers have used mathematical techniques, but are not classified into applied mathematics. Thus, we should analyze the contents of the papers. The dictionary contains 31,542 words (S1 Text). Those words belong to the lexicon of NLTK, which includes the English WordNet. Based on the dictionary, the document-term matrix for the corpus is generated, in which the rows correspond advil sinus cold the papers in the corpus and columns correspond to Ellzia Pak (Triamcinolone Acetonide Ointment )- FDA words.

Together with the publication dates of the papers, the quarterly numbers of the papers containing certain words are extracted for advil sinus cold the relationships of algorithms to certain research paradigms and transdisciplinary topics in Section 4.

Based on the discipline information of the corpus, a network describing the connections among disciplines is constructed (The discipline network, Fig 2), in which the nodes are the second level disciplines, and advil sinus cold disciplines are connected if there is a paper belonging to them both.

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