Search results for: stochastic music

Authors: Marie-Eve Joret, Marijn Van Vliet, Flavio Camarrone, Marc M. Van Hulle

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Event-related potentials (ERPs) provide evidence that the human brain can process and understand music at a pre-attentive level. Music-specific ERPs include the Early Right Anterior Negativity (ERAN) and a late Negativity (N5). This study aims to further investigate this issue using two types of syntactic manipulations in music: mild violations, containing no out-of-key tones and strong violations, containing out-of-key tones. We will examine whether both manipulations will elicit the same ERPs.

Keywords: ERAN ERPs, Music, N5, P3, ERPs, Music, N5 component, P3 component

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Authors: Rohit Rutka

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The aim of the present paper is to reveal the importance of music as an indispensable aspect in education of art, with regard to every single culture which serves as indisputable support to sustainable development in India. Indian system of education is one of the oldest systems of the world. Both secular and sacred education was handed over systematically by formalizing the system of education. We have found significant growth in the system of education in our country since ancient times. It is a veritable avenue which enables societies to transmit music and musical skills from one generation to the upcoming ones. The research is based on a comprehensive literature review on the impact of music to sustainable development. This paper contextualized that music education is imperative to Sustainable Development, to the adult. It is a vital force of self-expression, communication and empowerment economically, in growing children, involvement in music education will promote their creative ability, thereby contribute to the full development of intellectual capacities, apt emotional development that gives the right values and feelings to various events and happenings, music helps to develop skills, innate and instinctive talent in human being and recommend that the informal music teaching should be incorporated into school system so as to transmit and preserve the cultural music and that the study of music should be made compulsory at all levels of the Indian educational system.

Keywords: sustainable development, music education, culture, music as a pillar to sustainable development

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Authors: Yan Zou

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Approach to the theory of Musical Narrative, as well as the three criteria of the 'explicit narrative', 'potential narrative' and 'image narrative' which are used to analyze the music, the author put Beethoven’s Piano Sonata in E-flat major, Op.31/3, into the context of the music genre and Western music history, and interpreted the programmatic contents that were embodied and hid in the special music genres.

Keywords: analysis, genre, narrative, rhetoric

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Authors: Amirhossein Khazali, Mohsen Kalantar

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Energy storage units can play an important role to provide an economic and secure operation of future energy systems. In this paper, a stochastic energy and reserve market clearing scheme is presented considering storage energy units. The approach is proposed to deal with stochastic and non-dispatchable renewable sources with a high level of penetration in the energy system. A two stage stochastic programming scheme is formulated where in the first stage the energy market is cleared according to the forecasted amount of wind generation and demands and in the second stage the real time market is solved according to the assumed scenarios.

Keywords: energy and reserve market, energy storage device, stochastic programming, wind generation

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Authors: Haider Javed Uppal, Javed Yunas Uppal

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In today's globalized world, it is necessary to develop a form of music that is able to evoke equal emotional responses among people from diverse cultural backgrounds. Indigenous cultures throughout history have developed their own music cognition, specifically in terms of the connections between music and mood. With the advancements in artificial intelligence technologies, it has become possible to analyze and categorize music features such as timbre, harmony, melody, and rhythm and relate them to the resulting mood effects experienced by listeners. This paper presents a model that utilizes a screenshot translator to convert music from different origins into waveforms, which are then analyzed using machine learning and information retrieval techniques. By connecting these waveforms with Thayer's matrix of moods, a mood classifier has been developed using fuzzy logic algorithms to determine the emotional impact of different types of music on listeners from various cultures.

Keywords: cognition, world music, artificial intelligence, Thayer’s matrix

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Authors: Shan-Ken Chien

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This research aims to share the application of the Music and Narrative Curriculum developed through a college community service-learning course to a special education classroom in a local secondary school. The development of the Music and Narrative Curriculum stems from the music appreciation courses that the author has taught at the university. The curriculum structure consists of three instructional phases, each with three core literacy. This study will show the implementation of an eighteen-week general music education course, including classroom training on the university campus and four intervention music lessons in a special education classroom. Students who participated in the Music and Narrative Curriculum came from two different parts. One is twenty-five college students enrolling in Music Literacy and Community Service-Learning, and the other one is nine junior high school students with intellectual disabilities (ID) in a special education classroom. This study measures two parts. One is the effectiveness of the Music and Narrative Curriculum in applying four interventions in music lessons in a special education classroom, and the other is measuring college students' service-learning experiences and growth outcomes.

Keywords: college service-learning, general music education, music literacy, narrative skills, students with special needs

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Authors: Fakhreddin Abedi, Wah June Leong

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Exponential stability of stochastic differential equations with non trivial solutions is provided in terms of Lyapunov functions. The main result of this paper establishes that, under certain hypotheses for the dynamics f(.) and g(.), practical exponential stability in probability at the small neighborhood of the origin is equivalent to the existence of an appropriate Lyapunov function. Indeed, we establish exponential stability of stochastic differential equation when almost all the state trajectories are bounded and approach a sufficiently small neighborhood of the origin. We derive sufficient conditions for exponential stability of stochastic differential equations. Finally, we give a numerical example illustrating our results.

Keywords: exponential stability in probability, stochastic differential equations, Lyapunov technique, Ito's formula

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Authors: Mina Fenercioglu

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This study discusses a Turkish music education model similar to El Sistema. The Music for Peace (Baris icin Muzik) program, founded in 2005 by an idealist humanitarian in Istanbul, started as a pilot project with accordion and then with flute in ensembles at the Ulubatlı Hasan Primary School where mostly underprivileged children attend. The program gives complimentary music lessons particularly to deprived children, who at the beginning were prone to crime. With music education, the attitudes of the children turn to a positive aspect. The aim of this initiative provides social and cultural awareness, which serves the same mission as the world known El Sistema. In 2009, the Music for Peace project received Deutsche Bank Urban Age Award, which is a prize presented to enterprises that improve the quality of life in urban environment. Since 2010, the Music for Peace continues the symphonic music education at its own place. In 2011, Music for Peace gained foundation status, and started to accept donations as musical instruments for children who attend the courses. On July 2013, IKSV (Istanbul Culture and Arts Foundation) became the institutional partner of Music for Peace Foundation and in June 2014, the foundation signed up to join El Sistema’s global program. Now in 2015, the foundation has three ensembles: the Music for Peace Orchestra, which consists of two orchestras practicing and performing in different levels; the Music for Peace Chorus, which has joined Istanbul International Polyphonic Choruses Festival; and the recently established Music for Peace Brass Ensemble.

Keywords: El Sistema, music education, music for peace, socialization

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Authors: Alberto Alcalá-Alvarez, Pablo Padilla-Longoria

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The present paper describes a framework for constructing mathematical networks encoding relevant musical information from a music score for structural analysis. These graphs englobe statistical information about music elements such as notes, chords, rhythms, intervals, etc., and the relations among them, and so become helpful in visualizing and understanding important stylistic features of a music fragment. In order to build such networks, musical data is parsed out of a digital symbolic music file. This data undergoes different analytical procedures from Graph Theory, such as measuring the centrality of nodes, community detection, and entropy calculation. The resulting networks reflect important structural characteristics of the fragment in question: predominant elements, connectivity between them, and complexity of the information contained in it. Music pieces in different styles are analyzed, and the results are contrasted with the traditional analysis outcome in order to show the consistency and potential utility of this method for music analysis.

Keywords: computational musicology, mathematical music modelling, music analysis, style classification

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Authors: Anchana Julsiri, Seree Chadcham

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The present study determined the effects of listening to pleasant Thai classical music on increasing working memory in elderly. Thai classical music without lyrics that made participants feel fun and aroused was used in the experiment for 3.19-5.40 minutes. The accuracy scores of Counting Span Task (CST), upper alpha ERD%, and theta ERS% were used to assess working memory of participants both before and after listening to pleasant Thai classical music. The results showed that the accuracy scores of CST and upper alpha ERD% in the frontal area of participants after listening to Thai classical music were significantly higher than before listening to Thai classical music (p < .05). Theta ERS% in the fronto-parietal network of participants after listening to Thai classical music was significantly lower than before listening to Thai classical music (p < .05).

Keywords: brain wave, elderly, pleasant Thai classical music, working memory

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Authors: Yixuan Peng

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Music tourism is the phenomenon of people visiting a place because of their association with music, as well as the process of creating an emotional attachment to a place through the connection between people and music. Music offers people the opportunity to immerse themselves in the local culture. Music tourism is increasingly recognized as an industry with economic and social impacts. People often come together for a common purpose of music at a certain time and place, such as concert, opera, or music workshop. This is very similar to the act of pilgrimage: the process of participation evokes strong emotions; it takes time and money to get to the destination; the gathering, and the emotional co-frequency. This study conducted further qualitative research using MAXQDA by applying the musical topophilia model with East Asians as interview subjects. There are three steps to traveling: before, during and after the trip. To date, 53 individuals living in East Asia have been interviewed one-on-one (online/offline) about their travel experiences. This part of the interview is limited to the two stages that are before and after travel. Based on the results of the interviews above, and as Europe has the most representative music industry and the richest variety of music genres. The " during the trip" phase of the observations and interviews were conducted in Europe and involved on-site music in Salzburg and London, including musical theater, street music, and musical pilgrimages. Interviews with 24 people were conducted in English, Chinese and Japanese. This study will use data to demonstrate the followings: the irreplaceability of music in faraway places; the identity and sense of belonging that music brings; the ethnic barriers that music crosses; and the cultural communication that music enables.

Keywords: belongingness, gathering, modern pilgrimage, anthropology of music, sociology of music

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Authors: Chiu-Pin Wei

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This research aims to explore the impact of music preferences on the emotional well-being of military academy students, recognizing the potential long-term implications for their high-stress careers post-graduation. Given the significance of positive emotion regulation in military personnel, this study focuses on understanding the types of music preferred by military cadets and analyzing how these preferences correlate with their emotional states. The study employs a quantitative approach, utilizing the Music Category Scale and Mood Scale to collect data. Statistical tools, such as Statistical Product and Service Solutions (SPSS), are employed for inferential analysis, including t-tests for emotional responses to instrumental and vocal music, one-way variance analysis for different demographic factors (grades, genders, and music listening frequencies), and Pearson's correlation to examine the relationship between music preferences and moods of military students.

Keywords: music preference, emotional regulation, military academic students, SPASS

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Authors: Marton Gergely

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Digital experience goods, such as music and video, are readily available and easily accessible through a sundry of illegal mediums. Furthermore, the rate of music theft has been increasing at a seemingly unstoppable rate. Instead of studying the effect of copyright infringement on affected shareholders, this paper aims to examine the overall impact that digital music piracy has on society as a whole. Through a systems dynamics approach, an archetype is built to model the behavior of both legal and illegal music users. Additionally, the effects over time are considered. The conceptual model suggests that if piracy continues to grow at the current pace, industry shareholders will eventually lose the motivation to supply new music. In turn, this tragedy would affect not only the illegal players, but legal consumers as well, by means of a decrease in overall quality of life.

Keywords: music piracy, illegal downloading, tragedy of the commons, system archetypes

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Authors: Tim Nikolsky

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This paper seeks to explore the different ways in which music producers choose to embrace various levels of technology based on musical values, objectives, affordability, access and workflow benefits. Current digital audio production workflow is questioned. Engineers and music producers of today are increasingly divorced from the tangibility of music production. Making music no longer requires you to reach over and turn a knob. Ideas of authenticity in music production are being redefined. Calculations from the mathematical algorithm with the pretty pictures are increasingly being chosen over hardware containing transformers and tubes. Are mouse clicks and movements equivalent or inferior to the master brush strokes we are seeking to conjure? We are making audio production decisions visually by constantly looking at a screen rather than listening. Have we compromised our music objectives and values by removing the ‘hands-on’ nature of music making? DAW interfaces are making our musical decisions for us not necessarily in our best interests. Technological innovation has presented opportunities as well as challenges for education. What do music production students actually need to learn in a formalised education environment, and to what extent do they need to know it? In this brave new world of omnipresent music creation tools, do we still need tangibility in music production? Interviews with prominent Australian music producers that work in a variety of fields will be featured in this paper, and will provide insight in answering these questions and move towards developing an understanding how tangibility can be rediscovered in the next generation of music production.

Keywords: analogue, digital, digital audio workstation, music production, plugins, tangibility, technology, workflow

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Authors: Farzad Sharifi, Raziyeh Shamsi

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In this paper, we obtain the projection of inefficient units in data envelopment analysis (DEA) in the case of stochastic inputs and outputs using the multi-objective programming (MOP) structure. In some problems, the inputs might be stochastic while the outputs are deterministic, and vice versa. In such cases, we propose molti-objective DEA-R model, because in some cases (e.g., when unnecessary and irrational weights by the BCC model reduces the efficiency score), an efficient DMU is introduced as inefficient by the BCC model, whereas the DMU is considered efficient by the DEA-R model. In some other case, only the ratio of stochastic data may be available (e.g; the ratio of stochastic inputs to stochastic outputs). Thus, we provide multi objective DEA model without explicit outputs and prove that in-put oriented MOP DEA-R model in the invariable return to scale case can be replacing by MOP- DEA model without explicit outputs in the variable return to scale and vice versa. Using the interactive methods for solving the proposed model, yields a projection corresponding to the viewpoint of the DM and the analyst, which is nearer to reality and more practical. Finally, an application is provided.

Keywords: DEA, MOLP, STOCHASTIC, DEA-R

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Authors: R. Shamsi, F. Sharifi

Abstract:

In this paper, we obtain the projection of inefficient units in data envelopment analysis (DEA) in the case of stochastic inputs and outputs using the multi-objective programming (MOP) structure. In some problems, the inputs might be stochastic while the outputs are deterministic, and vice versa. In such cases, we propose a multi-objective DEA-R model because in some cases (e.g., when unnecessary and irrational weights by the BCC model reduce the efficiency score), an efficient decision-making unit (DMU) is introduced as inefficient by the BCC model, whereas the DMU is considered efficient by the DEA-R model. In some other cases, only the ratio of stochastic data may be available (e.g., the ratio of stochastic inputs to stochastic outputs). Thus, we provide a multi-objective DEA model without explicit outputs and prove that the input-oriented MOP DEA-R model in the invariable return to scale case can be replaced by the MOP-DEA model without explicit outputs in the variable return to scale and vice versa. Using the interactive methods for solving the proposed model yields a projection corresponding to the viewpoint of the DM and the analyst, which is nearer to reality and more practical. Finally, an application is provided.

Keywords: DEA-R, multi-objective programming, stochastic data, data envelopment analysis

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Authors: Aditi Kashi

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While educational technologies have taken great strides, especially in Musical Instrument Digital Interface (MIDI) composition, teachers across the world are still adjusting to incorporate such technology into their curricula. While using MIDI in the classroom has become more common, limited class time and a strong focus on performance have made composition a lesser priority. The balance between music theory, performance time, and composition learning is delicate and difficult to maintain for many music educators. This makes including MIDI in the classroom. To address this issue, this paper aims to outline a general conceptual framework centered around a key element of music theory to integrate MIDI composition into the music classroom to not only introduce students to digital composition but also enhance their understanding of music theory and its applicability.

Keywords: educational framework, education technology, MIDI, music education

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Authors: Patricia Portugal Marques de Carvalho Lourenço

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Pop Music embodies both the music that is popular with the audiences and the one that is widespread amongst the general public associated with a state of mind and rhythm. Tai Chi epitomises Yin and Yang, two interconnected opposite states of being. Undivided, they are one, a neutral state of consciousness that does not swing to either pole. It remains constant and even minded. Sound flows and vibrations cause movement, a physical response to the tempo. When an excessive movement is reached leads to stillness therefore, extreme Yang leads to Yin. Pop Music and Tai Chi are comparable to state of inner being versus a state of outer being, emotional control versus emotional expression, stillness, and movement; opposites that are independent of one another yet interdependent concepts in motion.

Keywords: Pop music, C-Pop, Tai Chi, Ba Gua, communication, entertainment education

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Authors: Metee Pigultong

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The research aims at 1) composition of meditation music, 2) study of the meditation time reliability. The population is the older adults who meditated practitioners in the Thepnimitra Temple, Don Mueang District, Bangkok. The sample group was the older persons who meditated practitioners from the age of 60 with five volunteers. The research methodology was time-series to conduct the research progression. The research instruments included: 1) meditation music, 2) brain wave recording form. The research results found that 1) the music combines the binaural beats suitable for the meditation of the older persons, consisting of the following features: a) The tempo rate of the meditation music is no more than 60 beats per minute. b) The musical instruments for the meditation music arrangement include only 4-5 pieces. c) The meditation music arrangement needs to consider the nature of the right instrument. d) Digital music instruments are suitable for composition. e) The pure-tone sound combined in music must generate a brain frequency at the level of 10 Hz. 2) After the researcher conducted a 3-weeks brain training procedure, the researcher performed three tests for the reliability level using Cronbach's Alpha method. The result showed that the meditation reliability had the level = .475 as a moderate concentration.

Keywords: binaural beats, music therapy, meditation, older person, the Buddhist meditated practitioners

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Authors: Rouhallah Bagheri, Morteza Mahmoudi, Hadi Moheb-Alizadeh

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This paper aims at developing a multi-objective model for supplier selection and order allocation problem in stochastic environment, where purchasing cost, percentage of delivered items with delay and percentage of rejected items provided by each supplier are supposed to be stochastic parameters following any arbitrary probability distribution. In this regard, dependent chance programming is used which maximizes probability of the event that total purchasing cost, total delivered items with delay and total rejected items are less than or equal to pre-determined values given by decision maker. The abovementioned stochastic multi-objective programming problem is then transformed into a stochastic single objective programming problem using minimum deviation method. In the next step, the further problem is solved applying a genetic algorithm, which performs a simulation process in order to calculate the stochastic objective function as its fitness function. Finally, the impact of stochastic parameters on the given solution is examined via a sensitivity analysis exploiting coefficient of variation. The results show that whatever stochastic parameters have greater coefficients of variation, the value of the objective function in the stochastic single objective programming problem is deteriorated.

Keywords: supplier selection, order allocation, dependent chance programming, genetic algorithm

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Authors: Sheng-Wei Hsu

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Taiwanese composer Kuo Chih-Yuan (1921-2013) studied composition at Tokyo University of the Arts and was influenced by the musical nationalism prevailing in Japan at the time. Determined to create world-class contemporary works to represent Taiwan, he created music with elements of traditional Taiwanese music in ways that had not been done before. The aims of this study were to examine the traditional elements used in Kuo Chih-Yuan’s Variations and Fugue on an Ancient Taiwanese Music (1972), and how an understanding of these elements might guide pianists to interpret a more proper performance of his work was also presented in this study.

Keywords: Taiwanese traditional music, piano performance research, Kuo Chih-Yuan, fugue, variations

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Authors: B. Kishore Kumar, Pogula Rakesh, T. Kishore Kumar

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The music analysis is a part of the audio content analysis used to analyze the music by using the different features of audio signal. In music analysis, the first step is to divide the music signal to different sections based on the feature profiles of the music signal. In this paper, we present a music segmentation technique that will effectively segmentize the signal and thresholding technique to remove silence from the percussive sounds produced by percussive instruments, which uses two features of music, namely signal energy and spectral centroid. The proposed method impose thresholds on both the features which will vary depends on the music signal. Depends on the threshold, silence part is removed and the segmentation is done. The effectiveness of the proposed method is analyzed using MATLAB.

Keywords: percussive sounds, spectral centroid, spectral energy, silence removal, feature extraction

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Authors: Jonathan Bolduc

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Studies have demonstrated the effectiveness of music training approaches to help children with language disabilities. Because music is closely associated with a number of cognitive functions, including language, it has been hypothesized that musical skills transfer to other domains. Research suggests that music training strengthens basic auditory processing skills in dyslexic children and may ameliorate phonological deficits. Furthermore, music instruction has the particular advantage of being non-literacy-based, thus removing the frustrations that can be associated with reading and writing activities among children with specific learning disabilities. In this study, we assessed the effect of implementing an intensive music program on the development of language skills (phonological and reading) in 4- to 9-year-old children. Seventeen children (N=17) participated in the study. The experiment took place over 6 weeks in a controlled environment. Eighteen lessons of 40 minutes were offered during this period by two music specialists. The Dalcroze, Orff, and Kodaly approaches were used. A series of qualitative measures were implemented to document the contribution of music training to this population. Currently, the data is being analyzed. The first results show that learning music seems to significantly improve verbal memory. We already know that language disabilities are considered one of the main causes of school dropout as well as later professional and social failure. We aim to corroborate that an integrated music education program can provide children with language disabilities with the same opportunities to develop and succeed in school as their classmates. Scientifically, the results will contribute to advance the knowledge by identifying the more effective music education strategies to improve the overall development of children worldwide.

Keywords: music education, music, art education, language diasabilities

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Authors: Andre M. Carvalho, Pedro Sebastiao

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This article is based on a dissertation that intends to analyze and make a model, intelligently, algorithms based on stochastic processes of a gamification application applied to marketing. Gamification is used in our daily lives to engage us to perform certain actions in order to achieve goals and gain rewards. This strategy is an increasingly adopted way to encourage and retain customers through game elements. The application of gamification aims to encourage children between 6 and 10 years of age to have healthy habits and the purpose of serving as a model for use in marketing. This application was developed in unity; we implemented intelligent algorithms based on stochastic processes, web services to respond to all requests of the application, a back-office website to manage the application and the database. The behavioral analysis of the use of game elements and stochastic processes in children’s motivation was done. The application of algorithms based on stochastic processes in-game elements is very important to promote cooperation and to ensure fair and friendly competition between users which consequently stimulates the user’s interest and their involvement in the application and organization.

Keywords: engage, games, gamification, randomness, stochastic processes

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Authors: Shally Pais

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Film music holds a special relationship with the narrative systems and dramaturgical operations in animation. Though the roles of cartoon music closely resemble those fulfilled by traditional film scores, which have been extensively studied, there is a large knowledge gap regarding non-mainstream or non-Hollywood animation music. This paper is an investigation of the understudied compositional materials and narrative contexts in three distinct films by exploring the main narrative and dramaturgical effects of music in The Skeleton Dance, Fox and The Whale, and La Vieille Dame et les Pigeons. The study uses a Neoformalist approach towards qualitative analysis of the music in these films to document ways in which music can be made to function differently depending on the individual films’ contexts and the desired effects to be had on the audience. Consequently, the paper highlights these factors’ influence on the films’ narratives and aims to widen the discourse on composition for animation film scores, suggesting the further study of non-mainstream film music.

Keywords: animation film music, film score analysis, Fox and The Whale, La Vieille Dame et les Pigeons, Neoformalist analysis, The Skeleton Dance

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Authors: Fung Chiat Loo, Fung Ying Loo

Abstract:

This paper discusses, suggests, and constructs a notation system to facilitate the learning and understanding of the two aspects of music and movement in a sports routine. This model serves to provide a simple and logical notation that does not require training in both music and choreography. Notation is an important medium in many art forms, particularly in music and dance, transmitting information that cannot easily be expressed using words or language. Another field that is closely associated with dance and music is sports routine, which equally requires choreography and music. However, from the perspective of music, it is common to observe many incongruencies appearing between the music used and the choreography that impede an optimal perception of the performance. The concept of the notation proceeds with a discussion and review of existing dance notations that could contribute to sports routines, along with rules and a code of points in selected sports routines. The author's involvement as an insider of numerous musical theatre productions also contributed to this study. The notation constructed includes time (tempo), significances of musical accents, direction, and phrasing, along with significances of movements (jump, punch, shape). It is believed that the level of congruence between music and movement will provide optimal visualization, and in that, the notation serves to provide adequate information on both entities for the understanding of athletes and coaches.

Keywords: notation, choreography, music learning, sports routines, congruence

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Authors: Mladen Milicevic

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This paper explores how the explosion of computer technologies has allowed for the democratization of many aspects of human activities, which were in the past only available through the institutionalized channels of production and distribution. We will going to use as an example the music recording industries, just to illustrate this process, but the analogies to other activities and aspects of human life can easily be extrapolated from it.

Keywords: aura, democratization, music industry, music sharing, paradigm-shift

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Authors: Rouhallah Bagheri, Morteza Mahmoudi, Hadi Moheb-Alizadeh

Abstract:

In this paper, we develop a supplier selection and order allocation multi-objective model in stochastic environment in which purchasing cost, percentage of delivered items with delay and percentage of rejected items provided by each supplier are supposed to be stochastic parameters following any arbitrary probability distribution. To do so, we use dependent chance programming (DCP) that maximizes probability of the event that total purchasing cost, total delivered items with delay and total rejected items are less than or equal to pre-determined values given by decision maker. After transforming the above mentioned stochastic multi-objective programming problem into a stochastic single objective problem using minimum deviation method, we apply a genetic algorithm to get the later single objective problem solved. The employed genetic algorithm performs a simulation process in order to calculate the stochastic objective function as its fitness function. At the end, we explore the impact of stochastic parameters on the given solution via a sensitivity analysis exploiting coefficient of variation. The results show that as stochastic parameters have greater coefficients of variation, the value of objective function in the stochastic single objective programming problem is worsened.

Keywords: dependent chance programming, genetic algorithm, minimum deviation method, order allocation, supplier selection

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Authors: Mary Chriselda A

Abstract:

This paper deals with the fact that the Hubble's parameter is not constant and tends to vary stochastically with time. This premise has been proven by converting it to a stochastic differential equation using the Ornstein-Uhlenbeck process. The formulated stochastic differential equation is further solved analytically using the Euler and the Kolmogorov Forward equations, thereby obtaining the probability density function using the Fourier transformation, thereby proving that the Hubble's parameter varies stochastically. This is further corroborated by simulating the observations using Python and R-software for validation of the premise postulated. We can further draw conclusion that the randomness in forces affecting the white noise can eventually affect the Hubble’s Parameter leading to scale invariance and thereby causing stochastic fluctuations in the density and the rate of expansion of the Universe.

Keywords: Chapman Kolmogorov forward differential equations, fourier transformation, hubble's parameter, ornstein-uhlenbeck process , stochastic differential equations

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Authors: Yuyang Cheng, Marcos Escobar-Anel

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This paper introduces a multivariate 4/2 stochastic covariance process generalizing the one-dimensional counterparts presented in Grasselli (2017). Our construction permits stochastic correlation not only among stocks but also among volatilities, also known as co-volatility movements, both driven by more convenient 4/2 stochastic structures. The parametrization is flexible enough to separate these types of correlation, permitting their individual study. Conditions for proper changes of measure and closed-form characteristic functions under risk-neutral and historical measures are provided, allowing for applications of the model to risk management and derivative pricing. We apply the model to an expected utility theory problem in incomplete markets. Our analysis leads to closed-form solutions for the optimal allocation and value function. Conditions are provided for well-defined solutions together with a verification theorem. Our numerical analysis highlights and separates the impact of key statistics on equity portfolio decisions, in particular, volatility, correlation, and co-volatility movements, with the latter being the least important in an incomplete market.

Keywords: stochastic covariance process, 4/2 stochastic volatility model, stochastic co-volatility movements, characteristic function, expected utility theory, verication theorem

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