scholarly journals Teaching mathematics as a way of thinking – not calculating

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Keith Devlin
Keyword(s):  
Mathematical Thinking ◽  
Applied Mathematics ◽  
Academic Research ◽  
Real Life ◽  
Mechanical Activity ◽  
Private Industry ◽  
Life Problems ◽  
Pure Mathematics ◽  
Wide Range ◽  
Formal Procedures

Important aspects of mathematical thinking are exploring, questioning, working systematically, visualizing, conjecturing, explaining, generalizing, justifying, and proving (but excluding the execution of formal procedures either done by machines or viewed as a “lower-level”, mechanical activity). See, for example, Stacey (2006); Devlin (2012a,b,c); Singh et al. (2018); NRICH (2020).Mathematical thinking is what this essay is about. But before I start, it should be noted that I write from the perspective of a career that spanned both academic research in pure mathematics and the world of applied mathematics, where I worked on a wide range of real-life problems for private industry and government.

Behavioral Study of Drosophila Fruit Fly and Its Modeling for Soft Computing Application

2016 ◽  
pp. 32-84 ◽  
Author(s):  
Tapan Kumar Singh ◽  
Kedar Nath Das
Keyword(s):  
Real Life ◽  
Optimal Solution ◽  
Fruit Fly ◽  
Linear Constraints ◽  
Behavioral Study ◽  
Search Optimization ◽  
Life Problems ◽  
Decision Variables ◽  
Wide Range ◽  
Real Life Situation

Most of the problems arise in real-life situation are complex natured. The level of the complexity increases due to the presence of highly non-linear constraints and increased number of decision variables. Finding the global solution for such complex problems is a greater challenge to the researchers. Fortunately, most of the time, bio-inspired techniques at least provide some near optimal solution, where the traditional methods become even completely handicapped. In this chapter, the behavioral study of a fly namely ‘Drosophila' has been presented. It is worth noting that, Drosophila uses it optimized behavior, particularly, when searches its food in the nature. Its behavior is modeled in to optimization and software is designed called Drosophila Food Search Optimization (DFO).The performance, DFO has been used to solve a wide range of both unconstrained and constrained benchmark function along with some of the real life problems. It is observed from the numerical results and analysis that DFO outperform the state of the art evolutionary techniques with faster convergence rate.

scholarly journals The origin of compression influences geometric instabilities in bilayers

2018 ◽  
Vol 474 (2217) ◽  
pp. 20180267 ◽  
Author(s):  
Sebastian Andres ◽  
Paul Steinmann ◽  
Silvia Budday
Keyword(s):  
Film Growth ◽  
Numerical Study ◽  
Real Life ◽  
Critical Conditions ◽  
Pattern Selection ◽  
Smart Surfaces ◽  
Life Problems ◽  
Wide Range ◽  
Post Buckling ◽  
The Impact

Geometric instabilities in bilayered structures control the surface morphology in a wide range of biological and technical systems. Depending on the application, different mechanisms induce compressive stresses in the bilayer. However, the impact of the chosen origin of compression on the critical conditions, post-buckling evolution and higher-order pattern selection remains insufficiently understood. Here, we conduct a numerical study on a finite-element set-up and systematically vary well-known factors contributing to pattern selection under the four main origins of compression: film growth, substrate shrinkage and whole-domain compression with and without pre-stretch. We find that the origin of compression determines the substrate stretch state at the primary instability point and thus significantly affects the critical buckling conditions. Similarly, it leads to different post-buckling evolutions and secondary instability patterns when the load further increases. Our results emphasize that future phase diagrams of geometric instabilities should incorporate not only the film thickness but also the origin of compression. Thoroughly understanding the influence of the origin of compression on geometric instabilities is crucial to solving real-life problems such as the engineering of smart surfaces or the diagnosis of neuronal disorders, which typically involve temporally or spatially combined origins of compression.

scholarly journals Mathematical Modeling for Routes and Cost of Local Transports in Pune City

2020 ◽  
Vol 9 (8) ◽  
pp. 25-28
Keyword(s):  
Transportation Problem ◽  
Real Life ◽  
Transportation Cost ◽  
Transportation Model ◽  
Air Suspension ◽  
Life Problems ◽  
Wide Range ◽  
Trip Distance ◽  
Research Domains

Transportation problem is considered a vitally important aspect that has been studied in a wide range of operations including research domains. As such, it has been used in simulation of several real life problems. The transportation model is for the optimization of routes, cost and travelling of peoples with the help of public transport buses from the source to the destination by road. The data is collected which includes number of trips per day, cost of trips per trip ,distance between source and destination etc. manually through the questionery interview with the conductors drivers and the regular travelling peoples travelling on that route as well as data collection from PMPML office and calculation for minimizing the transportation cost have been done. The result of the research with proper scheduling, proper routing of buses can save Rs. 48865.875 in a 1 day. The saving of the transportation cost increases the profit of the PMPML. The total saving amount profit percentage is about 18.15% increase from saving transportation cost. The parameters as discussed above are considered and collected manually with the help of survey sheet and transportation model is prepared and after that calculation for minimizing the transportation cost have been done. The methods used for minimization of transportation of cost are Northwest corner method, Least count method etc. The result of the research gives with proper scheduling, routing of buses can save generate so much of revenue with saving of cost.. The amount saved from the transportation cost is utilized for increase the facilities in bus such as A.C, Automatic door system, Air suspension, Good quality of seats etc.

scholarly journals Book Proposal on Biomimetic Tissue Simulants

2020 ◽  
Author(s):  
Arnab Chanda
Keyword(s):  
Soft Tissue ◽  
Ethical Issues ◽  
State Of The Art ◽  
Academic Research ◽  
Real Life ◽  
Test Results ◽  
Animal Tissues ◽  
Female Pelvis ◽  
Wide Range ◽  
Computational Research

Soft tissue surrogate based test dummies are used across industries to simulate real life accidents. To date, there are a wide range of surrogates available in the market, including gels, elastomers, and animal tissues, which are backdated and have mechanical properties very different from actual human tissues. However, in academic research, biofidelic soft tissue surrogates have evolved in the last two decades, but have lacked technology transfer. This book aims to bridge the gap between the industry and academia with the state of the art in soft tissue surrogate research. Surrogates are presented with respect to skin, muscles, brain tissue, arteries, and female pelvis. Fabrication techniques, mechanical testing, and test results required for reproducing these surrogates are discussed. Also, characterization methodologies and limitations of each type of surrogate are presented, for their use in both experimental and computational research. Some major industries which can use these biofidelic surrogates are car manufacturers, prosthetics and orthotics designers, ballistic testing facilities, military and sports equipment manufacturers. Also, hospitals and medical centres can take advantage of these synthetic surrogates over actual tissues for surgical training with minimal biosafety approvals and ethical issues.

The Application of Project Scheduling Techniques in a Real-Life Environment

2003 ◽  
Vol 34 (1) ◽  
pp. 30-42 ◽  
Author(s):  
Mario Vanhoucke ◽  
Erik Demeulemeester
Keyword(s):  
Project Scheduling ◽  
Critical Path ◽  
Pure Water ◽  
Real Life ◽  
Production Capacity ◽  
Water Production ◽  
Financial Status ◽  
Problem Types ◽  
Life Problems ◽  
Wide Range

The scheduling of activities over time has gained increasing attention with the development of the critical path method (CPM) and the program evaluation and review technique (PERT). Since then, a large amount of solution procedures for a wide range of problem types have been proposed in the literature. Many of these procedures, however, are not able to solve real-life problems. In this paper we describe a capacity expansion project at a water production center (WPC) of the Vlaamse Maatschappij voor Watervoorziening (VMW) in Belgium. This project aims at expanding the production capacity of pure water. We show that scheduling the project with certain techniques will improve the financial status of the project. We illustrate this statement with different schedules.

scholarly journals Some Hermite–Hadamard-Type Fractional Integral Inequalities Involving Twice-Differentiable Mappings

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2209
Author(s):  
Soubhagya Kumar Sahoo ◽  
Muhammad Tariq ◽  
Hijaz Ahmad ◽  
Ayman A. Aly ◽  
Bassem F. Felemban ◽  
...  
Keyword(s):  
Applied Sciences ◽  
Focal Point ◽  
Real Life ◽  
Integral Inequalities ◽  
Mathematical Science ◽  
Life Problems ◽  
Special Cases ◽  
Wide Range ◽  
Fractional Analysis ◽  
Almost All

The theory of fractional analysis has been a focal point of fascination for scientists in mathematical science, given its essential definitions, properties, and applications in handling real-life problems. In the last few decades, many mathematicians have shown their considerable interest in the theory of fractional calculus and convexity due to their wide range of applications in almost all branches of applied sciences, especially in numerical analysis, physics, and engineering. The objective of this article is to establish Hermite-Hadamard type integral inequalities by employing the k-Riemann-Liouville fractional operator and its refinements, whose absolute values are twice-differentiable h-convex functions. Moreover, we also present some special cases of our presented results for different types of convexities. Moreover, we also study how q-digamma functions can be applied to address the newly investigated results. Mathematical integral inequalities of this class and the arrangements associated have applications in diverse domains in which symmetry presents a salient role.

The Psychologist in the Medical School: An Example of Solving Real-Life Problems

1970 ◽  
Author(s):  
Matisyohu Weisenberg ◽  
Carl Eisdorfer ◽  
C. Richard Fletcher ◽  
Murray Wexler
Keyword(s):  
Medical School ◽  
Real Life ◽  
Life Problems

Home Learning in Times of COVID: Experiences of Parents

2020 ◽  
Vol 7 (1) ◽  
pp. 9 ◽  
Author(s):  
Shelina Bhamani ◽  
Areeba Zainab Makhdoom ◽  
Vardah Bharuchi ◽  
Nasreen Ali ◽  
Sidra Kaleem ◽  
...  
Keyword(s):  
Real Life ◽  
Sampling Technique ◽  
Online Classes ◽  
Google Docs ◽  
Learning Gap ◽  
Wide Range ◽  
Home Learning ◽  
Collection Data ◽  
Learning At Home ◽  
At Home

<p align="center"><em>The widespread prevalence of COVID-19 pandemic has affected academia and parents alike. Due to the sudden closure of schools, students are missing social interaction which is vital for better learning and grooming while most schools have started online classes. This has become a tough routine for the parents working online at home since they have to ensure their children’s education. The study presented was designed to explore the experiences of home learning in times of COVID-19. A descriptive qualitative study was planned to explore the experiences of parents about home learning and management during COVID-19 to get an insight into real-life experiences.  Purposive sampling technique was used for data collection.  Data were collected from 19 parents falling in the inclusion criteria. Considering the lockdown problem, the data were collected via Google docs form with open-ended questions related to COVID-19 and home learning. Three major themes emerged after the data analysis: impact of COVID on children learning; support given by schools; and strategies used by caregivers at home to support learning. It was analyzed that the entire nation and academicians around the world have come forward to support learning at home offering a wide range of free online avenues to support parents to facilitate home-learning. Furthermore, parents too have adapted quickly to address the learning gap that have emerged in their children’s learning in these challenging times. Measures should be adopted to provide essential learning skills to children at home. Centralized data dashboards and educational technology may be used to keep the students, parents and schools updated.</em></p>

scholarly journals A survey of methods for evaluating mini-publics

2021 ◽  
Author(s):  
Takeuchi Ayano
Keyword(s):  
Decision Making ◽  
Academic Research ◽  
Future Research ◽  
The Political ◽  
Decision Making Process ◽  
Sufficient Information ◽  
Practical Case ◽  
Political Decision ◽  
Wide Range ◽  
Political Decision Making

AbstractPublic participation has become increasingly necessary to connect a wide range of knowledge and various values to agenda setting, decision-making and policymaking. In this context, deliberative democratic concepts, especially “mini-publics,” are gaining attention. Generally, mini-publics are conducted with randomly selected lay citizens who provide sufficient information to deliberate on issues and form final recommendations. Evaluations are conducted by practitioner researchers and independent researchers, but the results are not standardized. In this study, a systematic review of existing research regarding practices and outcomes of mini-publics was conducted. To analyze 29 papers, the evaluation methodologies were divided into 4 categories of a matrix between the evaluator and evaluated data. The evaluated cases mainly focused on the following two points: (1) how to maintain deliberation quality, and (2) the feasibility of mini-publics. To create a new path to the political decision-making process through mini-publics, it must be demonstrated that mini-publics can contribute to the decision-making process and good-quality deliberations are of concern to policy-makers and experts. Mini-publics are feasible if they can contribute to the political decision-making process and practitioners can evaluate and understand the advantages of mini-publics for each case. For future research, it is important to combine practical case studies and academic research, because few studies have been evaluated by independent researchers.

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