Determining the relationship between respiratory variables and fundamental frequency declination: A mathematical modeling of the data

2004 ◽  
Vol 115 (5) ◽  
pp. 2611-2611
Author(s):  
Carole E. Gelfer ◽  
Jay Jorgenson
Keyword(s):  
Mathematical Modeling ◽  
Fundamental Frequency ◽  
The Relationship ◽  
Respiratory Variables

Mathematical Alternatives to Standard Probability that Provide Selectable Degrees of Precision

2017 ◽  
Author(s):  
Terrence Fine
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Theory Of Measurement ◽  
Belief Functions ◽  
Standard Practice ◽  
Mathematical Probability ◽  
Comparative Probability ◽  
The Relationship ◽  
Standard Probability

This chapter challenges the nearly universal reliance upon standard mathematical probability for mathematical modeling of chance and uncertain phenomena, and offers four alternatives. In standard practice, precise assignments are made inappropriately, even to the occurrences of events that may be unobservable in principle. Four familiar examples of chance or uncertain phenomena are discussed, about which this is true. The theory of measurement provides an understanding of the relationship between the accuracy of information and the precision with which the phenomenon under examination should be modeled mathematically. The model of modal or classificatory probability offers the least precision. Comparative probability, plausibility/belief functions and upper/lower probabilities are carefully considered. The selectable precision of these alternative mathematical models of chance and uncertainty makes for an improved range of levels of accuracy in modeling the empirical domain phenomena of chance, uncertainty, and indeterminacy. Knowledge of such models encourages further thought in this direction.

Vocal Tract Steadiness

1992 ◽  
Vol 35 (4) ◽  
pp. 761-768 ◽  
Author(s):  
Petra Zwirner ◽  
Gary J. Barnes
Keyword(s):  
Motor Control ◽  
Fundamental Frequency ◽  
Vocal Tract ◽  
Upper Airway ◽  
Normal Subjects ◽  
Subject Group ◽  
Formant Frequency ◽  
Control Subjects ◽  
Acoustic Analyses ◽  
The Relationship

Acoustic analyses of upper airway and phonatory stability were conducted on samples of sustained phonation to evaluate the relation between laryngeal and articulomotor stability for 31 patients with dysarthria and 12 non-dysarthric control subjects. Significantly higher values were found for the variability in fundamental frequency and formant frequency of patients who have Huntington’s disease compared with normal subjects and patients with Parkinson’s disease. No significant correlations were found between formant frequency variability and the variability of the fundamental frequency for any subject group. These findings are discussed as they pertain to the relationship between phonatory and upper airway subsystems and the evaluation of vocal tract motor control impairments in dysarthria.

scholarly journals Applying Methods of Mathematical Modeling in Cattle Breeding

2019 ◽  
Vol 8 (12) ◽  
pp. 185-187 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Animal Husbandry ◽  
The Body ◽  
Body Parts ◽  
Method Of Least Squares ◽  
Linear Measurements ◽  
Cattle Breeding ◽  
Modern Methods ◽  
Meat Productivity ◽  
The Relationship

In this manuscript has presented the results of applying modern methods of mathematical modeling in animal husbandry. To conduct the research has used the method of least squares, which has reflected in the work by approximation probabilistic non-linear relations, making it possible to establish the relationship between different measurements the body parts of animal and meat productivity, and linear measurements of the udder.

scholarly journals Mathematical Modelling and Optimization of Risk Analysis in Emergencies

2018 ◽  
Vol 7 (4.7) ◽  
pp. 209
Author(s):  
Korneev A.M ◽  
Salfetnikov M.V
Keyword(s):  
Mathematical Modeling ◽  
Decision Making ◽  
Mathematical Modelling ◽  
Systematic Approach ◽  
Natural Properties ◽  
Multi Level ◽  
Constituent Elements ◽  
State Of The Environment ◽  
The Relationship ◽  
Modelling And Optimization

In current work methods of intellectual support of acceptance of administrative decisions on risks of occurrence of extreme situations are considered. The relationship between human activity, the emergence emergencies and the state of the environment is systemic. An important role is given to the analysis of the causes of incidents and emergencies of technogenic nature. Emergencies refers to complex multi-level systems, so a systematic approach is needed to model them. When choosing models of complex systems, factors related to the natural properties of the constituent elements and subsystems, and the patterns of the functioning of the system as a whole are investigated. Various methods of mathematical modeling are used to determine the risks of emergencies. The problem of optimization of decision-making algorithms in the event of emergencies is solved.  

scholarly journals A Mathematical Modeling Approach to the Cort-Fitness Hypothesis

2019 ◽  
Vol 1 (1) ◽  
Author(s):  
F El Moustaid ◽  
S J Lane ◽  
I T Moore ◽  
L R Johnson
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Reproductive Strategies ◽  
Evolutionary Biology ◽  
Positive Relationship ◽  
Negative Relationship ◽  
Environmental Challenges ◽  
Field Endocrinology ◽  
Empirical Tests ◽  
The Relationship

Abstract The Cort-Fitness Hypothesis has generated much interest from investigators integrating field endocrinology with evolutionary biology, ecology, and conservation. The hypothesis was developed to test the assumption that if glucocorticoid levels increase with environmental challenges and fitness decreases with environmental challenges, then there should be a negative relationship between baseline glucocorticoid levels and fitness. Indeed, studies across diverse taxa have found that the relationship between baseline glucocorticoid levels and fitness are not consistent: some studies show a positive relationship, others negative, and some show no correlation. Hence, a deeper understanding of the mechanisms underlying the relationship between baseline glucocorticoid levels, environmental challenges, and fitness is needed. We propose a mathematical model representing the links between baseline glucocorticoid levels, environmental challenges, and fitness. Our model describes how variation in the predictability and intensity of environmental challenges, reproductive strategies, and fitness metrics can all contribute to the variability observed in empirical tests of the Cort-Fitness Hypothesis. We provide qualitative results showing that much of the inconsistency in previous studies can be explained and we discuss how the model can be used to inform future Cort-Fitness studies.

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