This research paper delves into the intricate role of music as a symbolic form in Pascal Quignard’s novel Tous les matins du monde,exploring its capacity to convey profound human emotions and experiences.Set against ...This research paper delves into the intricate role of music as a symbolic form in Pascal Quignard’s novel Tous les matins du monde,exploring its capacity to convey profound human emotions and experiences.Set against the backdrop of 17th-century France,the narrative follows the lives of Monsieur de Sainte Colombe and Marin Marais,renowned viola da gamba players,to contemplate the essence of music and its representation of human sentiment.The paper examines the semiotic nature of music,its relationship with memory and emotion,and the philosophical inquiry into music’s intrinsic value as an art form.It also discusses the novel’s adaptation into a film and its impact on the revival of Baroque music.Furthermore,the paper draws parallels between the myth of Orpheus and the characters’personal journeys,highlighting the transformative power of music and its ability to transcend reality.The analysis is grounded in the works of various scholars,including Ferdinand de Saussure,Suzanne Langer,and Charles Sanders Peirce,to provide a comprehensive understanding of music’s symbolic essence in Quignard’s literary creation.展开更多
In this research,novel epidemic models based on fractional calculus are developed by utilizing the Caputo and Atangana-Baleanu(AB)derivatives.These models integrate vaccination effects,additional safety measures,home ...In this research,novel epidemic models based on fractional calculus are developed by utilizing the Caputo and Atangana-Baleanu(AB)derivatives.These models integrate vaccination effects,additional safety measures,home and hospital isolation,and treatment options.Fractional models are particularly significant as they provide a more comprehensive understanding of epidemic diseases and can account for non-locality and memory effects.Equilibrium points of the model are calculated,including the disease-free and endemic equilibrium points,and the basic reproduction number R0 is computed using the next-generation matrix approach.Results indicate that the epidemic becomes endemic when R0 is greater than unity,and it goes extinct when it is less than unity.The positiveness and boundedness of the solutions of model are verified.The Routh-Hurwitz technique is utilized to analyze the local stability of equilibrium points.The Lyapunov function and the LaSalle’s principle are used to demonstrate the global stability of equilibrium points.Numerical schemes are proposed,and their validity is established by comparing them to the fourth-order Runge-Kutta(RK4)method.Numerical simulations are performed using the Adams-Bashforth-Moulton predictor-corrector algorithm for the Caputo time-fractional derivative and the Toufik-Atangana numerical technique for the AB time-fractional derivative.The study looks at how the quarantine policy affected different human population groups.On the basis of these findings,a strict quarantine policy voluntarily implemented by an informed human population can help reduce the pandemic’s spread.Additionally,vaccination efforts become a crucial tool in the fight against diseases.We can greatly lower the number of susceptible people and develop a shield of immunity in the population by guaranteeing common access to vaccinations and boosting vaccination awareness.Moreover,the graphical representations of the fractional models are also developed.展开更多
文摘This research paper delves into the intricate role of music as a symbolic form in Pascal Quignard’s novel Tous les matins du monde,exploring its capacity to convey profound human emotions and experiences.Set against the backdrop of 17th-century France,the narrative follows the lives of Monsieur de Sainte Colombe and Marin Marais,renowned viola da gamba players,to contemplate the essence of music and its representation of human sentiment.The paper examines the semiotic nature of music,its relationship with memory and emotion,and the philosophical inquiry into music’s intrinsic value as an art form.It also discusses the novel’s adaptation into a film and its impact on the revival of Baroque music.Furthermore,the paper draws parallels between the myth of Orpheus and the characters’personal journeys,highlighting the transformative power of music and its ability to transcend reality.The analysis is grounded in the works of various scholars,including Ferdinand de Saussure,Suzanne Langer,and Charles Sanders Peirce,to provide a comprehensive understanding of music’s symbolic essence in Quignard’s literary creation.
文摘In this research,novel epidemic models based on fractional calculus are developed by utilizing the Caputo and Atangana-Baleanu(AB)derivatives.These models integrate vaccination effects,additional safety measures,home and hospital isolation,and treatment options.Fractional models are particularly significant as they provide a more comprehensive understanding of epidemic diseases and can account for non-locality and memory effects.Equilibrium points of the model are calculated,including the disease-free and endemic equilibrium points,and the basic reproduction number R0 is computed using the next-generation matrix approach.Results indicate that the epidemic becomes endemic when R0 is greater than unity,and it goes extinct when it is less than unity.The positiveness and boundedness of the solutions of model are verified.The Routh-Hurwitz technique is utilized to analyze the local stability of equilibrium points.The Lyapunov function and the LaSalle’s principle are used to demonstrate the global stability of equilibrium points.Numerical schemes are proposed,and their validity is established by comparing them to the fourth-order Runge-Kutta(RK4)method.Numerical simulations are performed using the Adams-Bashforth-Moulton predictor-corrector algorithm for the Caputo time-fractional derivative and the Toufik-Atangana numerical technique for the AB time-fractional derivative.The study looks at how the quarantine policy affected different human population groups.On the basis of these findings,a strict quarantine policy voluntarily implemented by an informed human population can help reduce the pandemic’s spread.Additionally,vaccination efforts become a crucial tool in the fight against diseases.We can greatly lower the number of susceptible people and develop a shield of immunity in the population by guaranteeing common access to vaccinations and boosting vaccination awareness.Moreover,the graphical representations of the fractional models are also developed.
