Mathematical Models of Waiting Time

1990 ◽  
Vol 83 (8) ◽  
pp. 622-627
Author(s):  
Sheldon P. Gordon ◽  
Florence S. Gordon
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Waiting Time ◽  
Mathematical Expectation ◽  
Real Life ◽  
Research Projects ◽  
Mathematical Ideas ◽  
Life Data ◽  
Real Life Data ◽  
The Mathematical Model

The old saying goes, “Time and tide wait for no man.” In today's society, an equally apt line might be, “Everyone waits for almost everything.” This widespread experience with waiting lends a marvelous opportunity to develop some very nice mathematics and apply it to problems with which our students can easily identify. In this art icle, we shall consider several mathematical models that can be used to study different waiting situations. The mathematics used involves just simple ideas from probability and mathematical expectation. Some related ideas are given in Mathers (1976). We shall also consider how computer simulations can be introduced to bring an added dimension to these topics. Most important, we shall see how such mathematical ideas furnish an ideal vehicle for involving students in actual individual research projects to collect real-life data, analyze it, and compare the results to predictions based on the mathematical model.

scholarly journals Impact of Intake and Exhaust Ducts on the Recovery Efficiency of Heat Recovery Ventilation Systems

Energies ◽  
2021 ◽  
Vol 14 (2) ◽  
pp. 351
Author(s):  
Tom Marsik ◽  
Riley Bickford ◽  
Conor Dennehy ◽  
Robbin Garber-Slaght ◽  
Jeremy Kasper
Keyword(s):  
Mathematical Model ◽  
Heat Loss ◽  
Heat Recovery ◽  
Real Life ◽  
Field Studies ◽  
Recovery Efficiency ◽  
Life Data ◽  
Real Life Data ◽  
Wide Range ◽  
Ventilation Systems

The heat recovery efficiency of ventilation systems utilizing heat recovery ventilators (HRVs) depends not only on the heat recovery efficiency of the HRV units themselves but also on the intake and exhaust ducts that connect the HRV units to the outside environment. However, these ducts are often neglected in heat loss calculations, as their impact on the overall heat recovery efficiency of HRV systems is often not understood and, to the knowledge of the authors, a mathematical model for the overall heat recovery efficiency of HRV systems that accounts for these ducts has not been published. In this research, a mathematical model for the overall heat recovery efficiency of HRV systems that accounts for the intake and exhaust ducts was derived and validated using real-life data. The model-predicted decrease in heat recovery efficiency due to the ducts was in reasonable agreement (relative error within 20%) with the real-life measurements. The results suggest that utilizing this model allows for more correct ventilation heat loss calculations compared to using the heat recovery efficiency of the HRV unit alone, but more field studies are needed to verify the accuracy of this model in a wide range of applications.

Soft Topological Spaces Induced via Soft Relations

2021 ◽  
Vol 20 ◽  
pp. 1-8
Author(s):  
Saeid Jafari ◽  
Abd El Fattah El-Atik ◽  
Raja M. Latif ◽  
M.K. El-Bably
Keyword(s):  
Mathematical Model ◽  
Real Life ◽  
Soft Set ◽  
Topological Spaces ◽  
New Approach ◽  
Soft Topology ◽  
Life Data ◽  
Real Life Data ◽  
Topological Constructs ◽  
The Relationship

Soft relation is a basic mathematical model that can be related to several real-life data. Throughout many fields, soft relations are used to build soft topological structures. In addition, soft topological constructs are generalized methods to calculate similarity and dissimilarity of objects. Within this article, we present a new approach for directly producing a soft topology by soft relation without using base or subbase. This process is important technique for applications of soft topology. There is investigations into the relationship between soft set topologies and different relations and some of their properties are obtained.

Neuropsychology in the Real World

2014 ◽  
Vol 25 (4) ◽  
pp. 233-238 ◽  
Author(s):  
Martin Peper ◽  
Simone N. Loeffler
Keyword(s):  
Neuropsychological Assessment ◽  
Real World ◽  
Ecological Validity ◽  
Real Life ◽  
Emotional States ◽  
Context Sensitive ◽  
Traditional Assessment ◽  
Life Data ◽  
Real Life Data ◽  
Assessment And Treatment

Current ambulatory technologies are highly relevant for neuropsychological assessment and treatment as they provide a gateway to real life data. Ambulatory assessment of cognitive complaints, skills and emotional states in natural contexts provides information that has a greater ecological validity than traditional assessment approaches. This issue presents an overview of current technological and methodological innovations, opportunities, problems and limitations of these methods designed for the context-sensitive measurement of cognitive, emotional and behavioral function. The usefulness of selected ambulatory approaches is demonstrated and their relevance for an ecologically valid neuropsychology is highlighted.

The epidemiology of thyroid cancer within a center of excellence in Athens: Real life data

2017 ◽  
Author(s):  
Eleni Pantazi ◽  
Alexios Travlos ◽  
Evaggelia Vogiatzi ◽  
Ifigenia Kostoglou-Athanassiou
Keyword(s):  
Thyroid Cancer ◽  
Real Life ◽  
Life Data ◽  
Center Of Excellence ◽  
Real Life Data
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