A Mathematical Model of Glide-Slope Perception in the Visual Approach to Landing

1998 ◽  
Vol 8 (2) ◽  
pp. 83-101 ◽  
Author(s):  
George Galanis ◽  
Andrew Jennings ◽  
Paul Beckett
Keyword(s):  
Mathematical Model ◽  
Visual Approach ◽  
Glide Slope ◽  
Slope Perception

scholarly journals A Mathematical, Graphical and Visual Approach to Granular Synthesis Composition

2021 ◽  
Vol 9 (2) ◽  
pp. 1-27
Author(s):  
Fernando Souza ◽  
Adolfo Maia Jr.
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Statistical Analysis ◽  
Music Composition ◽  
Musical Composition ◽  
Visual Approach ◽  
Musical Gesture ◽  
Granular Synthesis ◽  
Synthesis Composition

We show a method for Granular Synthesis Composition based on a mathematical modeling for the musical gesture. Each gesture is drawn as a curve generated from a particular mathematical model (or function) and coded as a MATLAB script. The gestures can be deterministic through defining mathematical time functions, hand free drawn, or even randomly generated. This parametric information of gestures is interpreted through OSC messages by a granular synthesizer (Granular Streamer). The musical composition is then realized with the models (scripts) written in MATLAB and exported to a graphical score (Granular Score). The method is amenable to allow statistical analysis of the granular sound streams and the final music composition. We also offer a way to create granular streams based on correlated pair of grains parameters.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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