{"title":"Statistical analysis of melody lengths, note probabilities and note transitions of a bandish in raga Bihag","authors":"Soubhik Chakraborty, Prerna Singh","doi":"10.59400/jam.v1i3.303","DOIUrl":"https://doi.org/10.59400/jam.v1i3.303","url":null,"abstract":"Melody refers to a succession of musical notes that can be regarded as complete in a musical sense. For example, a line of a song or a raga bandish is a melody as it is complete. The number of notes in a melody is called its length. Unfortunately, the analysis of melody lengths is a neglected area in music research. Given that the significance of a melody in monophonic music (single melody line), such as Indian classical music is quantified by the product of the length of the melody and its frequency (number of occurrences in the musical piece), the novelty of our research lies in analysing the statistical features of lengths of a well-known bandish in raga Bihag. Additionally, the probability distribution of the notes is presented and a count of rising and falling note transitions in the sthayi and antara of the bandish is also taken. The experimental results are encouraging.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"1220 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139204124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
P. Roy, Abhishek Sarkar, Kulbhushan Agnihotri, K. Das
{"title":"The study of chaotic dynamics of an eco-epidemiological predator-prey model with alternative food","authors":"P. Roy, Abhishek Sarkar, Kulbhushan Agnihotri, K. Das","doi":"10.59400/jam.v1i3.129","DOIUrl":"https://doi.org/10.59400/jam.v1i3.129","url":null,"abstract":"Parasites can alter the quality and quantity of participants. On the other hand, the spread of diseases between individuals or species is an important research topic. Here we consider a tritrophic food model in which bacteria spread among the animal's environment where other nutrients are present. We analyze the local stability of the model around the efficiency of the equation. We also report significant numbers of offspring in terms of ecology and disease and use these numbers to analyze community structure of the sample. We started from this situation as a model. Our numerical results show that at low infection level the body causes conflict, but at high infection level conflict prioritizes safety. Our findings therefore challenge previous models’ predictions that the parasite has a negative impact. We also looked at the impact of other foods on chaotic dynamics. When other nutrients increase, stress does not change, but when other nutrients decrease, chaos disappears and the disease among animals is eliminated from the body.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"11 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139241793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Muhammad Safdar Nazeer, Kifayat Ullah, Amir Hussain
{"title":"A novel decision-making appraoch based on interval-valued T-spherical fuzzy information with applications","authors":"Muhammad Safdar Nazeer, Kifayat Ullah, Amir Hussain","doi":"10.59400/jam.v1i2.79","DOIUrl":"https://doi.org/10.59400/jam.v1i2.79","url":null,"abstract":"Multi-attribute group decision-making (MAGDM) is very significant technique for selecting an alternative from the provided list. But the major problem is to deal with the information fusion during the information. Aczel-Alsina t-norm (AATN) and Aczel-Alsina t-conorm (AATCN) are the most generalized and flexible t-norm (TN) and t-conorm (TCN) which is used for information processing. Moreover, the interval-valued T-spherical fuzzy set (IVTSFS) is the latest framework to cover the maximum information from the real-life scenarios. Hence, the major contribution of this paper is to deal the information while the MAGDM process by introducing new aggregation operators (AOs). Consequently, the interval-valued T-spherical fuzzy (IVTSF), Aczel-Alsina weighted averaging (IVTSFAAWA), IVTSF Aczel-Alsina (IVTSFAA) ordered weighted averaging (IVTSFAAOWA), IVTSFAA weighted geometric (IVTSFAAWG), IVTSFAA ordered weighted geometric (IVTSFAAOWG), and IVTSFAA hybrid weighted geometric (IVTSFAAHWG) operators are developed. It is shown that the proposed operators are the valid and the results obtained are reliable by discussing some basic properties. To justify the developed AOs, an example of the MAGDM is discussed. The sensitivity of these AOs is observed keeping in view of the variable parameter. To show the importance of the newly developed theory, a comparison of the proposed AOs is established with already existing operators.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139357363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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