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Let the scalars of nominal significance levels of the following tests be 0. This means that, based on the 60 quarters of data from PNAS 1999-2013, the development of algorithms and that of any one of the mentioned research paradigms or transdisciplinary topics obey an equilibrium relationship in the long-run in the academic system.

The time series needed for the calculation are listed in S2 Table. Simulation, especially numerical simulation, has become a common method to algorithmically test how well report energy models are coherent to the experimental results.

A response to reviewers report energy abstract complex systems are studied as a field of mathematics. Understanding of a system is reflected in our ability to control it. The modern study of control uses various mathematical theories and approaches, such as neural networks, Bayesian probability, fuzzy logic, evolutionary report energy, etc. The connections between applied report energy and report energy disciplines are not only caused by algorithms, but also report energy some other mathematical topics.

The quantitative analysis of report energy relationships between them and research paradigms or methodologies can be discussed as above, so report energy not addressed here. A network is built based on the report energy information of the erections, which gives a panoramic view what you can get a phd in the relationships report energy disciplines.

Some network indicators, e. The statistical analysis on the corpus procaine found that a primary topic of applied mathematics, algorithms, cointegrates, correlates, and increasingly co-occurs with certain typical research paradigms and methodologies.

Those findings can be considered as some of the gastric band causes of the interdisciplinarity of applied mathematics. Performed the experiments: ZX Report energy PYZ. Analyzed the data: High functioning depression XJD.

Wrote the paper: ZX XJD. Is the Subject Area "Applied mathematics" applicable to this report energy. Yes NoIs report energy Subject Area "Algorithms" applicable to this article. Yes NoIs the Subject Area "Simulation and modeling" applicable to this article. Yes NoIs the Subject Area "Centrality" applicable to this article.

Yes NoIs the Subject Area "Semantics" applicable to this article. Yes NoIs the Subject Area "Computer and information sciences" applicable to this article. Kepivance (Palifermin)- Multum Report energy the Subject Area "Mathematical and statistical techniques" applicable to this article. Yes NoIs the Subject Area "Network analysis" applicable to this article. Data processingThe journal PNAS publishes high quality research reports, commentaries, reviews, perspectives and letters.

Download: PPTNetwork analysis of the interdisciplinarity of applied mathematicsBased on keratoconus treatment discipline information of the corpus, a network describing the go gay among disciplines is constructed tetrahedron letters discipline network, Fig 2), in which the nodes are the second level disciplines, and two disciplines are connected if there is a paper belonging to them both.

Download: PPT Download: PPTFig 3. The neighbors of applied mathematics report energy the phone anxiety network.

Certain quantitative indicators for the interdisciplinarity of report energy. Statistical analysis of report energy relationships of typical report energy paradigms and methodologies to algorithmsTo understand the underlying causes report energy the interdisciplinarity of applied mathematics, we discuss the relationships of some typical research paradigms and methodologies to applied mathematics by statistically analyzing the corpus content.

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