Analytical Approach to Semiclassical Inelastic Collision Theory for General Impact Parameters

1970 ◽  
Vol 53 (5) ◽  
pp. 1941-1944 ◽  
Author(s):  
R. E. Roberts
Keyword(s):  
Analytical Approach ◽  
Inelastic Collision ◽  
Collision Theory ◽  
Impact Parameters

scholarly journals Approximation Solution for the Zener Impact Theory

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2222
Author(s):  
Ping-Kun Tsai ◽  
Cheng-Han Li ◽  
Chia-Chun Lai ◽  
Ko-Jung Huang ◽  
Ching-Wei Cheng
Keyword(s):  
Approximate Solution ◽  
Inelastic Collision ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Elastic Collision ◽  
Theory Model ◽  
Collision Theory ◽  
Approximation Solution ◽  
Model Equations ◽  
Collision Force

Collisions can be classified as completely elastic or inelastic. Collision mechanics theory has gradually developed from elastic to inelastic collision theories. Based on the Hertz elastic collision contact theory and Zener inelastic collision theory model, we derive and explain the Hertz and Zener collision theory model equations in detail in this study and establish the Zener inelastic collision theory, which is a simple and fast calculation of the approximate solution to the nonlinear differential equations of motion. We propose an approximate formula to obtain the Zener nonlinear differential equation of motion in a simple manner. The approximate solution determines the relevant values of the collision force, material displacement, velocity, and contact time.

WKB approximations in inelastic collision theory

1973 ◽  
Vol 59 (11) ◽  
pp. 6147-6152 ◽  
Author(s):  
Gert Billing So/rensen
Keyword(s):  
Inelastic Collision ◽  
Collision Theory

The Dynamics of TAT Process

2014 ◽  
Vol 35 (2) ◽  
pp. 103-133 ◽  
Author(s):  
Benoît Verdon ◽  
Catherine Chabert ◽  
Catherine Azoulay ◽  
Michèle Emmanuelli ◽  
Françoise Neau ◽  
...  
Keyword(s):  
Defense Mechanisms ◽  
Analytical Approach ◽  
Therapeutic Process ◽  
Practice Research ◽  
Rorschach Test ◽  
Mental Functioning ◽  
Projective Tests ◽  
The Subject ◽  
Latent Content ◽  
Rigorous Method

After many years of clinical practice, research and the teaching of projective tests, Shentoub and her colleagues (Debray, Brelet, Chabert & al.) put forward an original and rigorous method of analysis and interpretation of the TAT protocols in terms of psychoanalysis and clinical psychopathology. They developed the TAT process theory in order to understand how the subject builds a narrative. Our article will emphasize the source of the analytical approach developed by V. Shentoub in the 1950s to current research; the necessity of marking the boundary between the manifest and latent content in the cards; the procedure for analyzing the narrative, supported by an analysis sheet for understanding the stories' structure and identifying the defense mechanisms; and how developing hypotheses about how the mental functions are organized, as well as their potential psychopathological characteristics; and the formulation of a diagnosis in psychodynamic terms. In conjunction with the analysis and interpretation of the Rorschach test, this approach allows us to develop an overview of the subject's mental functioning, taking into account both the psychopathological elements that may threaten the subject and the potential for a therapeutic process. We will illustrate this by comparing neurotic, borderline, and psychotic personalities.

Maxim Berezovsky C-dur symphony in a context of new biographical scenario of artist’s life-creativity

2018 ◽  
pp. 13-25
Author(s):  
Olha Shumilina
Keyword(s):  
Eighteenth Century ◽  
Instrumental Music ◽  
Analytical Approach ◽  
Spiritual Direction ◽  
Theoretical Research ◽  
Orchestral Music ◽  
Musical Life ◽  
Analysis And Synthesis ◽  
Mental Modeling ◽  
Independent Work

Relevance of the study. The article studies recently found symphony of the prominent Ukrainian composer of the second half of the eighteenth century Maxim Berezovsky. He is widely known now as the author of cyclic spiritual concerts written for the Orthodox worship, and is practically unknown as a musician instrumentalist associated with the imperial theater and the court musical life. The work of M. Berezovsky as a secular musician determined the creative interest in composing instrumental music intended for secular chamber and orchestral music. Main objective of the article is a clarification of M.Berezovsky symphony as one of secular field artworks in the light of new summaries about artist’s life-creativity. Methodology. Taking into account peculiarities of the material and the analytical approach to its study, the methods of theoretical research have been chosen(abstraction, analysis and synthesis, induction and deduction, mental modeling, ascension from abstract to concrete, etc.). Conclusions. As a result of a study the symphony analysis in a context of new authentic statements about M.Berezovsky’s life-creativity. It was stated that this artwork was written not accidentally and detects absolute awareness of the artist in all composer’s niceties – how to build a topic and build a homophonic construction based on it, in a technique of orchestral construction, form creations of that time and etc. From the beginning of his creative career, M. Berezovsky was well aware of the possibilities of the orchestra as a performer, attached to the Italian opera and instrumental music. Symphony enriches our imagination about the works of M. Berezovsky in the field of secular instrumental and operatic music and extends the range of works of the artist beyond the spiritual direction. Some signs indicate that the Symphony was not an independent work, but an overture to the opera Demofont.

Maxim Berezovsky C-dur symphony in a context of new biographical scenario of artist’s life-creativity

2018 ◽  
pp. 13-25
Author(s):  
Olha Shumilina
Keyword(s):  
Eighteenth Century ◽  
Instrumental Music ◽  
Analytical Approach ◽  
Spiritual Direction ◽  
Theoretical Research ◽  
Orchestral Music ◽  
Musical Life ◽  
Analysis And Synthesis ◽  
Mental Modeling ◽  
Independent Work

Relevance of the study. The article studies recently found symphony of the prominent Ukrainian composer of the second half of the eighteenth century Maxim Berezovsky. He is widely known now as the author of cyclic spiritual concerts written for the Orthodox worship, and is practically unknown as a musician instrumentalist associated with the imperial theater and the court musical life. The work of M. Berezovsky as a secular musician determined the creative interest in composing instrumental music intended for secular chamber and orchestral music. Main objective of the article is a clarification of M.Berezovsky symphony as one of secular field artworks in the light of new summaries about artist’s life-creativity. Methodology. Taking into account peculiarities of the material and the analytical approach to its study, the methods of theoretical research have been chosen(abstraction, analysis and synthesis, induction and deduction, mental modeling, ascension from abstract to concrete, etc.). Conclusions. As a result of a study the symphony analysis in a context of new authentic statements about M.Berezovsky’s life-creativity. It was stated that this artwork was written not accidentally and detects absolute awareness of the artist in all composer’s niceties – how to build a topic and build a homophonic construction based on it, in a technique of orchestral construction, form creations of that time and etc. From the beginning of his creative career, M. Berezovsky was well aware of the possibilities of the orchestra as a performer, attached to the Italian opera and instrumental music. Symphony enriches our imagination about the works of M. Berezovsky in the field of secular instrumental and operatic music and extends the range of works of the artist beyond the spiritual direction. Some signs indicate that the Symphony was not an independent work, but an overture to the opera Demofont.

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