scholarly journals Mysterious Circle Numbers.Does πp,q Approach πp When q Is Tending to p ?

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 822
Author(s):  
Wolf-Dieter Richter ◽  
Vincent Wenzel

This paper aims to introduce a mathematical-philosophical type of question from the fascinating world of generalized circle numbers to the widest possible readership. We start with recalling well-known (in part from school) properties of the polygonal approximation of the common circle when approximating the famous circle number π by convergent sequences of upper and lower bounds being based upon the lengths of polygons. Next, we shortly refer to some results from the literature where suitably defined generalized circle numbers of l p - and l p , q -circles, π p and π p , q , respectively, are considered and turn afterwards over to the approximation of an l p -circle by a family of l p , q -circles with q converging to p, q → p . Then we ask whether or not there holds the continuity property π p , q → π p as q → p . The answer to this question leads us to the answer of the question stated in the paper’s title. Presenting here for illustration true paintings instead of strong technical or mathematical drawings intends both to stimulate opening heart and senses of the reader for recognizing generalized circles in his real life and to suggest the philosophical challenge of the consequences coming out from the demonstrated non-continuity property.

2012 ◽  
Vol 19 (5) ◽  
pp. 290-291 ◽  
Author(s):  
Sue E. Hoge ◽  
Karin E. Perry

Math by the Month is a regular department of the journal. It features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes at least four activities each for K–Grade 2, Grades 3–4, and Grades 5–6. This month's problem set aligns with the Common Core State Standards for Mathematics, includes factual data from Disney Parks, and makes connections between mathematics and real-life applications.


Technology has significantly emerged in various fields, including healthcare, government, and education. In the education field, students of all ages and backgrounds turn to modern technologies for learning instead of traditional methods, especially under challenging courses such as mathematics. However, students face many problems in understanding mathematical concepts and understanding how to benefit from them in real-life. Therefore, it can be challenging to design scientific materials suitable for learning mathematics and clarifying their applications in life that meet the students’ preferences. To solve this issue, we designed and developed an interactive platform based on user experience to learn an advanced concept in the idea of linear algebra called Singular Value Decomposition (SVD) and its applicability in image compression. The proposed platform considered the common design principles to map between the provider in terms of clear mathematical explanation and the receiver in terms of matching good user experience. Twenty participants between the ages of 16 and 30 tested the proposed platform. The results showed that learning using it gives better results than learning traditionally in terms of the number of correct and incorrect actions, effectiveness, efficiency, and safety factors. Consequently, we can say that designing an interactive learning platform to explain an advanced mathematical concept and clarify its applications in real-life is preferable by considering and following the common design principles.


Pythagoras ◽  
2009 ◽  
Vol 0 (69) ◽  
Author(s):  
Sarah Bansilal

The Common Tasks for Assessment (CTA) was a new assessment programme that was introduced in 2002 in South Africa for all Grade 9 learners. The purpose of this paper is to articulate some concerns around the use of contextualised assessment activities in the CTA. The study reported here was carried out in 2003. Data for the study was generated from lesson observations and interviews with the participant teachers and groups of learners. It is argued that although the intentions behind the design of the CTA are well meaning and noble, there are in fact some learners who may be unintentionally disadvantaged by the design of the CTA which uses an extended context as a source for all the assessment tasks. In this paper two unintended consequences of using ‘real life’ contexts are identified and the implications of these are discussed, by linking the observations to research carried out in the UK and the USA.


Coronaviruses ◽  
2020 ◽  
Vol 01 ◽  
Author(s):  
Md. Hasanul Banna Siam ◽  
Abdullah Al Mosabbir ◽  
Nahida Hannan Nishat ◽  
Ahsan Ahmed ◽  
Mohammad Sorowar Hossain

: The coronavirus disease 2019 (COVID-19) pandemic has triggered a worldwide unprecedented public health crisis. Initially, COVID-19 was considered as a disease of the respiratory system as fever and at least one respiratory symptom was used to identify a suspected COVID-19 case. But there are now numerous reports of COVID-19 patients presenting with myriads of extrapulmonary symptoms and a substantial number of patients are asymptomatic as well. Additionally, there are significant clinical and epidemiological variations of severe acute respiratory syndrome coronavirus 2 (SARSCOV-2) infection across different geographical locations. The updated research thus challenges the existing surveillance system that is mainly based on fever and respiratory symptoms. As countries are coming out of lockdown to save economic fallout, a revised surveillance strategy is required to effectively identify and isolate the correct patients. Besides, since developing countries are becoming the new epicenters of pandemic and there are limited resources for RT-PCR based tests, so documenting the clinical spectrum can play a vital role in the syndromic clinical diagnosis of COVID-19. A plethora of atypical symptoms also aids in guiding better treatment and remains as a source for further research. It is therefore crucial to understand the common and uncommon clinical manifestations of SARS-COV-2 infection and its variability across different geographic regions.


Robotica ◽  
2000 ◽  
Vol 18 (5) ◽  
pp. 495-504 ◽  
Author(s):  
Khalid Munawar ◽  
Masayoshi Esashi ◽  
Masaru Uchiyama

This paper introduces an event-based decentralized control scheme for the cooperation between multiple manipulators. This is in contrast to the common practice of using only centralized controls for such cooperation which, consequently, greatly limit the flexibility of robotic systems. The manipulators used in the present system are very simple with only two degrees of freedom, while even one of them is passive. Moreover these manipulators use very few and commonly available sensors only. Computer simulations indicated the applicability of the event-based decentralized control scheme for multi-manipulator cooperation, while real-life experimental implementation has proved that the proposed decentralized control scheme is fairly applicable for very simple and even under-actuated systems too. Hence, this work has opened new doors towards further research in this area. The proposed control scheme is expected to be equally applicable for any mobile or immobile multi-robotic system.


2022 ◽  
pp. 507-519
Author(s):  
Hong-Chi Shiau

Despite the historical centrality of Western cities as sites of queer cultural settlement, larger global economic and political forces have vociferously shaped, dispersed, and altered dreams of mobility for gay Taiwanese millennials in the age of globalization. While Taiwanese gay millennials follow a seemingly universal “rural-to-urban,” “East-to-West” movement trajectory, this study also explicates local nuanced ramifications running against the common trend. Drawn upon five-year ethnographic studies in Taiwan, this study examines how parents could to some extent conform to societal pressures by co-creating a life narrative to the society. Parents/family appear to contribute to how participants' decision on spatial movement but gay male millennials with supportive parents are eventually “going home.” However, the concept of home is configured by multiple economic and social forces involving (1) the optimal distance with the biological family and (2) the proper performances of consumption policed and imposed by the gay community in the neoliberal Taiwanese society.


2019 ◽  
Vol 86 (2-3) ◽  
pp. 231-238
Author(s):  
John M. Travaline

Current healthcare practices are becoming increasingly threatened by technocracy, and the influence of technocratic oversight of medicine as a profession compromises good, compassionate care. A real-life case illustrating how technocratic oversight in health care threatens the practice of medicine and health care in general serves as a basis for discussing some of the common perils inherent in a technocratic model of medicine. This article suggests antidotes and concludes with alternate pathways to practice medicine amid technocratic challenges. Summary: This article discusses technocracy in current U.S. healthcare in order to raise awareness of its potentially negative effects. It then offers an overview of remedies based on Christian anthropology.


2005 ◽  
Vol 42 (01) ◽  
pp. 185-198 ◽  
Author(s):  
Erik A. Van Doorn ◽  
Alexander I. Zeifman

We study birth-death processes on the nonnegative integers, where {1, 2,…} is an irreducible class and 0 an absorbing state, with the additional feature that a transition to state 0 may occur from any state. We give a condition for absorption (extinction) to be certain and obtain the eventual absorption probabilities when absorption is not certain. We also study the rate of convergence, as t → ∞, of the probability of absorption at time t, and relate it to the common rate of convergence of the transition probabilities that do not involve state 0. Finally, we derive upper and lower bounds for the probability of absorption at time t by applying a technique that involves the logarithmic norm of an appropriately defined operator.


2002 ◽  
Vol 11 ◽  
pp. 1-14
Author(s):  
Jere H. Lipps
Keyword(s):  

Science is so exciting! Why? Because it is aweinspiring, fun, and creative. Most scientists would not do anything else—they are truly dedicated to what they do. You can hardly get them to be quiet once they start talking about their work. Unlike most people, they usually love their jobs! However, this is not the common view presented of most scientists. They are commonly thought of as nerds, freaks, weirdoes, or evildoers as portrayed in movies or television. These are fantasies where, with a few exceptions, scientists are shown negatively because it fits dramatic needs (Crichton, 1999). It's just not true in real life.


Sign in / Sign up

Export Citation Format

Share Document