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1

Tahmasebi, Mohammad H., and M. N. Obrovac. "Quantitative Measurement of Compositional Inhomogeneity in NMC Cathodes by X-ray Diffraction." Journal of The Electrochemical Society 170, no. 8 (2023): 080519. http://dx.doi.org/10.1149/1945-7111/acefff.

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A novel XRD analysis technique is described for quantitatively measuring compositional inhomogeneity in Li[NixMnyCoz]O2 (NMC) cathode materials and NMC precursors. Single-phase rock salt precursors with varying degrees of compositional inhomogeneity were prepared by grinding mixtures of Ni, Mn and Co oxides for different times and then heating. These precursors were then heated with lithium to form cathode materials. A modified Williamson-Hall analysis was used to measure the degree of compositional inhomogeneity in the precursors and the final NMC materials. This analysis showed that precurso
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2

Cheng, H. N. "NMR analysis of compositional heterogeneity in polysaccharides." Pure and Applied Chemistry 89, no. 7 (2017): 877–83. http://dx.doi.org/10.1515/pac-2016-1020.

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AbstractMany copolysaccharides are compositionally heterogeneous, and the composition determined by the usual analytical or spectroscopic methods provides only an average value. For some polysaccharides, the NMR data contain copolymer sequence information, such as diad, triad, and tetrad sequence intensities. In such cases, it is possible to estimate the extent of compositional heterogeneity through NMR. Two general types of methodologies can be used: perturbed Markovian and discrete component approaches. The theoretical bases for these approaches are reviewed in this work, and three examples
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3

Greenacre, Michael. "Compositional Data Analysis." Annual Review of Statistics and Its Application 8, no. 1 (2021): 271–99. http://dx.doi.org/10.1146/annurev-statistics-042720-124436.

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Compositional data are nonnegative data carrying relative, rather than absolute, information—these are often data with a constant-sum constraint on the sample values, for example, proportions or percentages summing to 1% or 100%, respectively. Ratios between components of a composition are important since they are unaffected by the particular set of components chosen. Logarithms of ratios (logratios) are the fundamental transformation in the ratio approach to compositional data analysis—all data thus need to be strictly positive, so that zero values present a major problem. Components that gro
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4

Egozcue, Juan José, Vera Pawlowsky-Glahn, and Gregory B. Gloor. "Linear Association in Compositional Data Analysis." Austrian Journal of Statistics 47, no. 1 (2018): 3–31. http://dx.doi.org/10.17713/ajs.v47i1.689.

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With compositional data ordinary covariation indexes, designed for real random variables, fail to describe dependence. There is a need for compositional alternatives to covariance and correlation. Based on the Euclidean structure of the simplex, called Aitchison geometry, compositional association is identied to a linear restriction of the sample space when a log-contrast is constant. In order to simplify interpretation, a sparse and simple version of compositional association is dened in terms of balances which are constant across the sample. It is called b-association. This kind of associati
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Elhaik, Eran, and Dan Graur. "IsoPlotter+: A Tool for Studying the Compositional Architecture of Genomes." ISRN Bioinformatics 2013 (April 18, 2013): 1–6. http://dx.doi.org/10.1155/2013/725434.

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Eukaryotic genomes, particularly animal genomes, have a complex, nonuniform, and nonrandom internal compositional organization. The compositional organization of animal genomes can be described as a mosaic of discrete genomic regions, called “compositional domains,” each with a distinct GC content that significantly differs from those of its upstream and downstream neighboring domains. A typical animal genome consists of a mixture of compositionally homogeneous and nonhomogeneous domains of varying lengths and nucleotide compositions that are interspersed with one another. We have devised IsoP
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Solans, M., G. Coenders, R. Marcos-Gragera, et al. "Compositional analysis of dietary patterns." Statistical Methods in Medical Research 28, no. 9 (2018): 2834–47. http://dx.doi.org/10.1177/0962280218790110.

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Instead of looking at individual nutrients or foods, dietary pattern analysis has emerged as a promising approach to examine the relationship between diet and health outcomes. Despite dietary patterns being compositional (i.e. usually a higher intake of some foods implies that less of other foods are being consumed), compositional data analysis has not yet been applied in this setting. We describe three compositional data analysis approaches (compositional principal component analysis, balances and principal balances) that enable the extraction of dietary patterns by using control subjects fro
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7

Barcelo-Vidal, Carles, and Josep-Antoni Martín-Fernández. "The Mathematics of Compositional Analysis." Austrian Journal of Statistics 45, no. 4 (2016): 57–71. http://dx.doi.org/10.17713/ajs.v45i4.142.

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The term compositional data analysis is historically associated to the approach based on the logratio transformations introduced in the eighties. Two main principles of this methodology are scale invariance and subcompositional coherence. New developments and concepts emerged in the last decade revealed the need to clarify the concepts of compositions, compositional sample space and subcomposition. In this work the mathematics of compositional analysis based on equivalence relation is presented. The two principles are essential attributes of the corresponding quotient space. A logarithmic isom
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8

Kouros, Christos E., Vasiliki Makri, Christos A. Ouzounis, and Anastasia Chasapi. "Disease association and comparative genomics of compositional bias in human proteins." F1000Research 12 (April 14, 2023): 198. http://dx.doi.org/10.12688/f1000research.129929.2.

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Background: The evolutionary rate of disordered protein regions varies greatly due to the lack of structural constraints. So far, few studies have investigated the presence/absence patterns of compositional bias, indicative of disorder, across phylogenies in conjunction with human disease. In this study, we report a genome-wide analysis of compositional bias association with disease in human proteins and their taxonomic distribution. Methods: The human genome protein set provided by the Ensembl database was annotated and analysed with respect to both disease associations and the detection of c
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9

Mert, Mehmet C., Peter Filzmoser, Gottfried Endel, and Ingrid Wilbacher. "Compositional data analysis in epidemiology." Statistical Methods in Medical Research 27, no. 6 (2016): 1878–91. http://dx.doi.org/10.1177/0962280216671536.

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Compositional data analysis refers to analyzing relative information, based on ratios between the variables in a data set. Data from epidemiology are usually treated as absolute information in an analysis. We outline the differences in both approaches for univariate and multivariate statistical analyses, using illustrative data sets from Austrian districts. Not only the results of the analyses can differ, but in particular the interpretation differs. It is demonstrated that the compositional data analysis approach leads to new and interesting insights.
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10

Barabesi, Lucio, and Pietro Sartorelli. "Compositional data analysis." Occupational and Environmental Medicine 77, no. 5 (2020): 352. http://dx.doi.org/10.1136/oemed-2019-106370.

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11

Gray, Jeff, and Bernhard Rumpe. "Compositional model analysis." Software and Systems Modeling 19, no. 2 (2020): 261–62. http://dx.doi.org/10.1007/s10270-020-00784-8.

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12

Reyment, Richard A. "Compositional data analysis." Terra Nova 1, no. 1 (1989): 29–34. http://dx.doi.org/10.1111/j.1365-3121.1989.tb00322.x.

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13

Templ, Matthias, and Barbara Templ. "Statistical Analysis of Chemical Element Compositions in Food Science: Problems and Possibilities." Molecules 26, no. 19 (2021): 5752. http://dx.doi.org/10.3390/molecules26195752.

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In recent years, many analyses have been carried out to investigate the chemical components of food data. However, studies rarely consider the compositional pitfalls of such analyses. This is problematic as it may lead to arbitrary results when non-compositional statistical analysis is applied to compositional datasets. In this study, compositional data analysis (CoDa), which is widely used in other research fields, is compared with classical statistical analysis to demonstrate how the results vary depending on the approach and to show the best possible statistical analysis. For example, honey
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Štefelová, Nikola, Jan Dygrýn, Karel Hron, Aleš Gába, Lukáš Rubín, and Javier Palarea-Albaladejo. "Robust Compositional Analysis of Physical Activity and Sedentary Behaviour Data." International Journal of Environmental Research and Public Health 15, no. 10 (2018): 2248. http://dx.doi.org/10.3390/ijerph15102248.

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Although there is an increasing awareness of the suitability of using compositional data methodology in public health research, classical methods of statistical analysis have been primarily used so far. The present study aims to illustrate the potential of robust statistics to model movement behaviour using Czech adolescent data. We investigated: (1) the inter-relationship between various physical activity (PA) intensities, extended to model relationships by age; and (2) the associations between adolescents’ PA and sedentary behavior (SB) structure and obesity. These research questions were ad
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15

Arnold, Kellyn F., Laurie Berrie, Peter W. G. Tennant, and Mark S. Gilthorpe. "A causal inference perspective on the analysis of compositional data." International Journal of Epidemiology 49, no. 4 (2020): 1307–13. http://dx.doi.org/10.1093/ije/dyaa021.

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Abstract Background Compositional data comprise the parts of some whole, for which all parts sum to that whole. They are prevalent in many epidemiological contexts. Although many of the challenges associated with analysing compositional data have been discussed previously, we do so within a formal causal framework by utilizing directed acyclic graphs (DAGs). Methods We depict compositional data using DAGs and identify two distinct effect estimands in the generic case: (i) the total effect, and (ii) the relative effect. We consider each in the context of three specific example scenarios involvi
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Gloor, Gregory Brian, Jean M. Macklaim, Michael Vu, and Andrew D. Fernandes. "Compositional uncertainty should not be ignored in high-throughput sequencing data analysis." Austrian Journal of Statistics 45, no. 4 (2016): 73–87. http://dx.doi.org/10.17713/ajs.v45i4.122.

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High throughput sequencing generates sparse compositional data, yet these datasets are rarely analyzed using a compositional approach. In addition, the variation inherent in these datasets is rarely acknowledged, but ignoring it can result in many false positive inferences. We demonstrate that examination of point estimates of the data can result in false positive results, even with appropriate zero replacement approaches, using an in vitro selection dataset with an outside standard of truth. The variation inherent in real high-throughput sequencing datasets is demonstrated, and we show that t
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17

Tan, Yunxiang, Mengyu Xu, and Yuanjun Zeng. "Compositional Analysis and Classification Study of Ancient Glassware Based on K-Means Cluster Analysis." Highlights in Science, Engineering and Technology 98 (May 16, 2024): 82–90. http://dx.doi.org/10.54097/rc1ara06.

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The aim of this study is to gain a deeper understanding of the compositional characteristics of ancient glass artefacts and their relationship with the degree of weathering as well as the rules for subclassification of ancient glass based on compositional variations. Through detailed compositional analyses of high-potassium glass and lead-barium glass, the study reveals their significant differences in terms of SiO2 content, etc., and successfully divides them into subclasses by K-means clustering method, and the clustering results are verified by chi-square test, which shows its effectiveness
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18

Price, M. W., H. Zuo, G. M. Janowsk, and R. N. Andrews. "Compositional analysis of mercury zinc telluride by EDS and WDS." Proceedings, annual meeting, Electron Microscopy Society of America 49 (August 1991): 748–49. http://dx.doi.org/10.1017/s0424820100088051.

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Semiconducting alloys of II-VI compounds have become the materials of choice for numerous infrared detection applications. However, compositional inhomogeneities in II-VI materials can adversely affect device performance. Extensive work has been conducted to evaluate the influence of growth parameters on the compositional redistribution in directionally solidified bulk alloys. Energy Dispersive Spectroscopy (EDS) has proven to be a valuable tool both in evaluating the compositional homogeneity of II-VI alloys and gaining information about the influence of growth parameters on compositional red
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19

Kincaid, Zachary, Jason Breck, Ashkan Forouhi Boroujeni, and Thomas Reps. "Compositional recurrence analysis revisited." ACM SIGPLAN Notices 52, no. 6 (2017): 248–62. http://dx.doi.org/10.1145/3140587.3062373.

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20

Velusamy, V., та L. Palaniappa. "Compositional Analysis α-Lactalbumin". American Journal of Biochemistry and Molecular Biology 1, № 2 (2011): 106–20. http://dx.doi.org/10.3923/ajbmb.2011.106.120.

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21

Corbett, James C., and George S. Avrunin. "Towards scalable compositional analysis." ACM SIGSOFT Software Engineering Notes 19, no. 5 (1994): 53–61. http://dx.doi.org/10.1145/195274.195294.

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22

Sato-Ilic, Mika. "Individual Compositional Cluster Analysis." Procedia Computer Science 95 (2016): 254–63. http://dx.doi.org/10.1016/j.procs.2016.09.330.

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23

Wilburn, F. W. "Compositional analysis by thermogravimetry." Thermochimica Acta 149 (September 1989): 395–97. http://dx.doi.org/10.1016/0040-6031(89)85302-x.

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24

Daunis-I-Estadella, J., C. Barceló-Vidal, and A. Buccianti. "Exploratory compositional data analysis." Geological Society, London, Special Publications 264, no. 1 (2006): 161–74. http://dx.doi.org/10.1144/gsl.sp.2006.264.01.12.

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25

Belisle, Jon, Susan K. Maier, and Joseph A. Tucker. "Compositional analysis of biomer." Journal of Biomedical Materials Research 24, no. 12 (1990): 1585–98. http://dx.doi.org/10.1002/jbm.820241204.

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26

Van Der Boogaart, K. G., and R. Tolosana-Delgado. "Compositional data analysis with ‘R’ and the package ‘compositions’." Geological Society, London, Special Publications 264, no. 1 (2006): 119–27. http://dx.doi.org/10.1144/gsl.sp.2006.264.01.09.

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27

Jügel, Thomas. "Repetition Analysis Function (ReAF) II." Indogermanische Forschungen 121, no. 1 (2016): 1–38. http://dx.doi.org/10.1515/if-2016-0001.

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Abstract Up to this point, most editions of Avestan texts have been concerned with interpreting the text. Although repetitions and abbreviations were known, they were often ignored since they did not offer new insight into the understanding of the meanings of words. The present study takes the opposite approach. Ignoring the meaning of the text (at first), it tries to detect the compositional structure of the Yasna ceremony by concentrating on formal matters such as specific closing sections, frames, etc. In a second step, the content is considered in order to offer interpretations for the com
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Gulban, Omer Faruk. "The Relation between Color Spaces and Compositional Data Analysis Demonstrated with Magnetic Resonance Image Processing Applications." Austrian Journal of Statistics 47, no. 5 (2018): 34–46. http://dx.doi.org/10.17713/ajs.v47i5.743.

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This paper presents a novel application of compositional data analysis methods in the context of color image processing. A vector decomposition method is proposed to reveal compositional components of any vector with positive components followed by compositional data analysis to demonstrate the relation between color space concepts such as hue and saturation to their compositional counterparts. The proposed methods are applied to a magnetic resonance imaging dataset acquired from a living human brain and a digital color photograph to perform image fusion. Potential future applications in magne
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Stark, Barbara L., Robert J. Speakman, and Michael D. Glascock. "Inter-Regional and Intra-Regional Scale Compositional Variability in Pottery from South-Central Veracruz, Mexico." Latin American Antiquity 18, no. 1 (2007): 59–84. http://dx.doi.org/10.2307/25063086.

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Both long-distance and localized chemical relationships in pottery and their implications for studies of Gulf lowland exchange can be examined with instrumental neutron activation. New pottery samples from Classic period (A.D. 300-900) contexts in the western lower Papaloapan basin were subjected to chemical compositional analysis. The sample represents three groups, coarse utility jars, common orange slipped serving bowls, and fine paste, higher-value white slipped serving bowls. At an intraregional scale, four localities in the western basin were sampled, but not all proved to be composition
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Itagaki, Tatsuki, Hirokazu Kobayashi, Ken-ichiro Sakata, Ikuya Miyamoto, Akira Hasebe, and Yoshimasa Kitagawa. "Compositional Data and Microbiota Analysis: Imagination and Reality." Microorganisms 12, no. 7 (2024): 1484. http://dx.doi.org/10.3390/microorganisms12071484.

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The relationships among bacterial flora, diseases, and diet have been described by many authors. An operational taxonomic units (OTUs) are the result of clustering the 16S rRNA gene sequences at a certain cutoff value, and they are considered compositional data. As Pearson’s correlation coefficient is difficult to interpret, Aitchison’s ratio analysis was used to develop a method to handle compositional data. Multivariate analysis was developed because univariate analysis can be subject to large biases. Simulations regarding absolute abundance based on certain assumptions and some analyses, su
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Vostrikova, Ekaterina. "Compositional analysis for clausal exceptives." Semantics and Linguistic Theory 29 (December 9, 2019): 420. http://dx.doi.org/10.3765/salt.v29i0.4627.

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In this paper I argue that English exceptive constructions introduced by 'except' that appear to have a phrasal structure can be underliyingly clausal. I offer a compositional analysis for such exceptive constructions. I propose that an except- clause introduces quantification over possible situations and serves as a restrictor of this quantification. I show how this analysis derives the inferences exceptives come with and the known restrictions on their use.
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Oikonomou, Artemios, Maria Kaparou, Anastasios Asvestas, et al. "Mycenaean Vitreous Artifacts: Overcoming Taxonomy Hurdles via Macro-XRF Analysis." Heritage 8, no. 4 (2025): 122. https://doi.org/10.3390/heritage8040122.

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Mycenaean glass artifacts, such as beads and relief plaques, are highly susceptible to degradation, which can significantly modify their visual attributes and pose classification challenges. Corrosion on glass and faience artifacts has often led to misinterpretation, since the visual manifestations of degradation can be similar for both materials, impacting research conclusions. This paper presents a segment of a broader study conducted within the Myc-MVP project, utilizing advanced scientific methods to analyze the compositional changes in corroded vitreous artifacts. Through Macro-X-ray Fluo
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33

Adeola, Taiye Shola. "Forms and Compositional Devices in Nigerian Gospel Music: A Structural and Contextual Analysis." Journal of African Arts & Culture 8, no. 1 (2025): 49–74. https://doi.org/10.63102/jaac.v8i1.20253.

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Nigerian gospel music has evolved into a distinct genre within the Nigerian music scene, marked by a unique blend of African rhythmic elements, Western harmonic structures, and Christian theological themes. As a dynamic and expressive art form, it employs various musical forms and compositional devices to engage audiences, convey spiritual messages, evoke emotion, and inspire devotion. Although scholarly attention has been given to its historical, sociological, textual, and theological dimensions, its structural and compositional elements remain underexplored. This study applies musical semiot
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Tukova, Iryna. "Sonoric as a Compositional Technique the Attempt of Critical Analysis." Scientific herald of Tchaikovsky National Music Academy of Ukraine, no. 132 (November 29, 2021): 66–77. http://dx.doi.org/10.31318/2522-4190.2021.132.249969.

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Relevance of the study. Sonoric is a widespread definition in Post-Soviet countries musicology. However, it is the only one in the system of contemporary compositional techniques that does not have English analogue. This fact conditioned to a number of questions related to this technique: what English terminology should be used as an analogue of sonoric or sonoristic? Why is there no such compositional technique as sonoric in European (with the exception of Poland) and American musicology? Is sonoric a compositional technique? The actualization of these issues makes it possible to solve both t
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Hruzova, Klara, Miroslav Rypka, and Karel Hron. "Compositional analysis of trade flows structure." Austrian Journal of Statistics 46, no. 2 (2017): 49–63. http://dx.doi.org/10.17713/ajs.v46i2.569.

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Statistical analysis of trade flows structure can significantly help to reveal or to confirm important macroeconomic phenomena. Because of relative character of these multivariate observations, application of standard multivariate methods directly to raw data can lead to meaningless results, affected by trade sizes of different countries. As a way out, it is proposed to employ the logratio methodology that is able to capture interesting features through logratios between compositional parts. Particularly, the perturbation operation together with clr coefficients for coordinate representation o
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Hatch, James W., Joseph W. Michels, Christopher M. Stevenson, Barry E. Scheetz, and Richard A. Geidel. "Hopewell Obsidian Studies: Behavioral Implications of Recent Sourcing and Dating Research." American Antiquity 55, no. 3 (1990): 461–79. http://dx.doi.org/10.1017/s0002731600060674.

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Specific questions regarding the antiquity of major midwestern Hopewell culture sites and their role in regional exchange systems are addressed in this paper through the dating (obsidian hydration) and compositional characterization (neutron activation analysis [NAA] and atomic absorption spectroscopy [AAS]) of obsidian artifacts. The analysis of 34 specimens from the Seip, Mound City, and Hopewell sites, Ohio, and the Naples site, Illinois, increases fivefold the number of chronometric dates available from these sites and expands the sample of compositionally identified specimens beyond those
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37

Jügel, Thomas. "Repetition analysis function (ReAF) I." Indogermanische Forschungen 120, no. 1 (2015): 177–208. http://dx.doi.org/10.1515/if-2015-0010.

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Abstract Repetitions are relevant for several aspects of historical philology. With regard to Avestan, they may allow for the identification of ceremonial frames or opening and closing sections revealing the compositional structure of a ceremony. In case of manuscript comparison, the question arises whether a variant appears only once or in all of its repetitive passages. Furthermore, by analysing the compositional structure we may be able to detect ceremonial structures different to the practice of today. A secondary aspect relates to the interpretation of the grammaticality of Young Avestan
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38

Allen, Robert B., and Robert K. Peet. "Gradient analysis of forests of the Sangre de Cristo Range, Colorado." Canadian Journal of Botany 68, no. 1 (1990): 193–201. http://dx.doi.org/10.1139/b90-026.

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Interrelationships between dominant compositional and environmental gradients were studied using 186 forest stands sampled on the east slope of the Sangre de Cristo Range, Colorado. Detrended correspondence analysis and detrended canonical correspondence analysis were used to analyze indirect and direct gradients, respectively. The dominant compositional gradient was strongly correlated with elevation. Increasing elevation was associated with decreasing soil pH and percent base saturation, and increasing total soil N. Ordination of stands stratified by elevation showed the major compositional
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Lobo, Lara, Beatriz Fernández, and Rosario Pereiro. "Depth profile analysis with glow discharge spectrometry." Journal of Analytical Atomic Spectrometry 32, no. 5 (2017): 920–30. http://dx.doi.org/10.1039/c7ja00055c.

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Chong, Fiona, and Matthew Spencer. "Analysis of relative abundances with zeros on environmental gradients: a multinomial regression model." PeerJ 6 (September 27, 2018): e5643. http://dx.doi.org/10.7717/peerj.5643.

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Ecologists often analyze relative abundances, which are an example of compositional data. However, they have made surprisingly little use of recent advances in the field of compositional data analysis. Compositions form a vector space in which addition and scalar multiplication are replaced by operations known as perturbation and powering. This algebraic structure makes it easy to understand how relative abundances change along environmental gradients. We illustrate this with an analysis of changes in hard-substrate marine communities along a depth gradient. We fit a quadratic multivariate reg
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41

Kouros, Christos E., Vasiliki Makri, Christos A. Ouzounis, and Anastasia Chasapi. "Disease association and comparative genomics of compositional bias in human proteins." F1000Research 12 (February 20, 2023): 198. http://dx.doi.org/10.12688/f1000research.129929.1.

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Background: The evolutionary rate of disordered proteins varies greatly due to the lack of structural constraints. So far, few studies have investigated the presence/absence patterns of intrinsically disordered regions (IDRs) across phylogenies in conjunction with human disease. In this study, we report a genome-wide analysis of compositional bias association with disease in human proteins and their taxonomic distribution. Methods: The human genome protein set provided by the Ensembl database was annotated and analysed with respect to both disease associations and the detection of compositiona
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42

Coecke, Bob, Giovanni de Felice, Dan Marsden, and Alexis Toumi. "Towards Compositional Distributional Discourse Analysis." Electronic Proceedings in Theoretical Computer Science 283 (November 8, 2018): 1–12. http://dx.doi.org/10.4204/eptcs.283.1.

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43

Carle, Steven F. "Geostatistical Analysis of Compositional Data." Vadose Zone Journal 6, no. 3 (2007): 684–85. http://dx.doi.org/10.2136/vzj2007.0063br.

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ROBINSON, A. L. "Ion Beams for Compositional Analysis." Science 227, no. 4694 (1985): 1571–72. http://dx.doi.org/10.1126/science.227.4694.1571.

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45

Godefroid, Patrice, Aditya V. Nori, Sriram K. Rajamani, and Sai Deep Tetali. "Compositional may-must program analysis." ACM SIGPLAN Notices 45, no. 1 (2010): 43–56. http://dx.doi.org/10.1145/1707801.1706307.

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46

Fačevicová, Kamila, Karel Hron, Valentin Todorov, and Matthias Templ. "Compositional Tables Analysis in Coordinates." Scandinavian Journal of Statistics 43, no. 4 (2016): 962–77. http://dx.doi.org/10.1111/sjos.12223.

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Kerber, Florian, and Arjan van der Schaft. "Compositional analysis for linear systems." Systems & Control Letters 59, no. 10 (2010): 645–53. http://dx.doi.org/10.1016/j.sysconle.2010.08.002.

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48

Filzmoser, Peter, and Karel Hron. "Correlation Analysis for Compositional Data." Mathematical Geosciences 41, no. 8 (2008): 905–19. http://dx.doi.org/10.1007/s11004-008-9196-y.

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49

Romero, Maribel. "Modal superlatives: a compositional analysis." Natural Language Semantics 21, no. 1 (2012): 79–110. http://dx.doi.org/10.1007/s11050-012-9090-5.

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Zaitsev, D. A. "Compositional analysis of Petri nets." Cybernetics and Systems Analysis 42, no. 1 (2006): 126–36. http://dx.doi.org/10.1007/s10559-006-0044-0.

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