7. Spheres and more

2020 ◽  
pp. 128-152
Author(s):  
Glen Van Brummelen
Keyword(s):  
Hyperbolic Geometry ◽  
Spherical Geometry ◽  
Pythagorean Theorem ◽  
Spherical Trigonometry ◽  
Spherical Triangles ◽  
The Times ◽  
The Impact

‘Spheres and more’ considers the ten formulas for right-angled spherical triangles (and how they can be generated), the spherical Pythagorean theorem, and Napier’s rules. Spherical trigonometry was intended originally for astronomers, but medieval Islamic scholars used it to predict the beginning of the sacred month of Ramadan and the times of the five daily prayers. The impact of spherical geometry on Euclid’s axioms resulting in two types of non-Euclidean geometries—elliptical geometry and hyperbolic geometry—is also considered.

The Modern Approach: Right-Angled Triangles

2017 ◽  
Author(s):  
Glen Van Brummelen
Keyword(s):  
Pythagorean Theorem ◽  
Spherical Triangle ◽  
Spherical Trigonometry ◽  
Modern Approach ◽  
Locality Principle ◽  
Spherical Triangles

This chapter discusses the modern approach to solving right-angled triangles. After a brief background on John Napier's trigonometric work, in which he referred mostly to right-angled spherical triangles, the chapter describes the theorems for right triangles. It then considers an oblique triangle split into two right triangles and the ten fundamental identities of a right-angled spherical triangle, how the locality principle can be applied to derive the Pythagorean Theorem, and how to find a ship's direction of travel using the theorem. It also looks at Napier's work on logarithms which was devoted to trigonometry, along with Napier's Rules. The chapter concludes with an overview of “pentagramma mirificum,” a pentagram in spherical trigonometry that was discovered by Napier.

scholarly journals Risk of Increased Acceptance for Organizational Nepotism and Cronyism during the COVID-19 Pandemic

Risks ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 59
Author(s):  
Grzegorz Ignatowski ◽  
Łukasz Sułkowski ◽  
Bartłomiej Stopczyński
Keyword(s):  
Qualitative Study ◽  
Quantitative Methods ◽  
Research Work ◽  
Negative Effects ◽  
Qualitative And Quantitative ◽  
Qualitative And Quantitative Methods ◽  
Work Related ◽  
Social And Economic Development ◽  
The Times ◽  
The Impact

Nepotism and cronyism are forms of favoritism towards certain people in the workplace. For this reason, they constitute a problem for organization managers, ethicists and psychologists. Identifying the impact of COVID-19 pandemic on the increase of nepotism and cronyism may provide a basis for organizations to assess their extent and to take possible measures to prevent their negative effects. At the same time, the research presented in the article may provide a basis for further research work related to nepotism and cronyism at the times of other threats, different from the pandemic. The aim of the article is to examine the impact of the COVID-19 pandemic on growing acceptance for nepotism and cronyism in Polish enterprises. Qualitative and quantitative methods have been included in the conducted research. Qualitative study aimed at improving knowledge of nepotism and cronyism and the impact of the COVID-19 pandemic on these phenomena, followed by a quantitative study conducted in order to verify the information obtained in the qualitative study. This research has demonstrated that Nepotism and cronyism in the workplace, are phenomenon that are basically evaluated negatively. They adversely influences social and economic development, but the impact of COVID-19 pandemic on nepotism and cronyism is not significant.

scholarly journals The role of drop shape in impact and splash

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Qingzhe Liu ◽  
Jack Hau Yung Lo ◽  
Ye Li ◽  
Yuan Liu ◽  
Jinyu Zhao ◽  
...  
Keyword(s):  
Electromagnetic Field ◽  
Spherical Geometry ◽  
Impact Dynamics ◽  
Helmholtz Instability ◽  
Liquid Drops ◽  
Drop Shape ◽  
Spreading Dynamics ◽  
Solid Substrates ◽  
The Impact

AbstractThe impact and splash of liquid drops on solid substrates are ubiquitous in many important fields. However, previous studies have mainly focused on spherical drops while the non-spherical situations, such as raindrops, charged drops, oscillating drops, and drops affected by electromagnetic field, remain largely unexplored. Using ferrofluid, we realize various drop shapes and illustrate the fundamental role of shape in impact and splash. Experiments show that different drop shapes produce large variations in spreading dynamics, splash onset, and splash amount. However, underlying all these variations we discover universal mechanisms across various drop shapes: the impact dynamics is governed by the superellipse model, the splash onset is triggered by the Kelvin-Helmholtz instability, and the amount of splash is determined by the energy dissipation before liquid taking off. Our study generalizes the drop impact research beyond the spherical geometry, and reveals the potential of using drop shape to control impact and splash.

An Investigation of the Impact of COVID-19 Pandemic on Energy Consumption in the United States

2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Lindsey Kahn ◽  
Hamidreza Najafi
Keyword(s):  
Energy Consumption ◽  
Correlation Coefficient ◽  
Energy Use ◽  
The United States ◽  
Annual Growth Rate ◽  
Total Consumption ◽  
The Usa ◽  
End Use ◽  
The Times ◽  
The Impact

Abstract Lockdown measures and mobility restrictions to combat the spread of COVID-19 have impacted energy consumption patterns. The overall decline of energy use during lockdown restrictions can best be identified through the analysis of energy consumption by source and end-use sectors. Using monthly energy consumption data, the total 9-months use between January and September for the years 2015–2020 is calculated for each end-use sector (transportation, industrial, residential, and commercial). The cumulative consumption within these 9 months of the petroleum, natural gas, biomass, and electricity energy by the various end-use sectors are compared. The analysis shows that the transportation sector experienced the greatest decline (14.38%). To further analyze the impact of COVID-19 on each state within the USA, the consumption of electricity by each state and each end-use sector in the times before and during the pandemic is used to identify the impact of specific lockdown procedures on energy use. The distinction of state-by-state analysis in this study provides a unique metric for consumption forecasting. The average total consumption for each state was found for the years 2015–2019. The total average annual growth rate (AAGR) for 2020 was used to find a correlation coefficient between COVID-19 case and death rate, population density, and lockdown duration. A correlation coefficient was also calculated between the 2020 AAGR for all sectors and AAGR for each individual end-user. The results show that Indiana had the highest percent reduction in consumption of 10.07% while North Dakota had the highest consumption increase of 7.61%. This is likely due to the amount of industrial consumption relative to other sectors in the state.

Data Analysis and Forecast for Aircraft Structure Impact Damage Based on GP Symbolic Fitting Method

2011 ◽  
Vol 217-218 ◽  
pp. 701-705
Author(s):  
Man Yi Hou ◽  
Hui Lin Fan ◽  
Wu Lin Zhu
Keyword(s):  
Impact Damage ◽  
Aircraft Structure ◽  
Matlab Program ◽  
Fitting Method ◽  
Sample Data ◽  
Damage Data ◽  
Impact Parameters ◽  
The Times ◽  
The Impact ◽  
Fitting Model

In order to research the aircraft impact damage, one symbolic fitting method for analyzing and forecasting the damage data is proposed based on genetic programming (GP). The method can be used to forecast the impact damage by recognizing the rule in some groups of actual data including impact parameters and damage hole size. The principle of GP symbolic fitting method is briefly introduced. The fitting model is created with some sample data respectively for training and testing from Sorenson experiential equation. The computation with Matlab program indicates the model has a good performance to fit and forecast the damage data with avoiding the noise. The application of GP symbolic fitting method can help to decrease the times of fire experiments. Since the method can recognize the complicated nonlinear relationship between the impact parameters and damage data, it is more applicable than theoretical analysis and experiential equation to forecast the aircraft impact damage.

scholarly journals Designing Wayang Kulit Purwa with Gatotkaca as the Character in Game

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Nunnun Bonafix
Keyword(s):  
Digital Media ◽  
Rapid Development ◽  
Modern Society ◽  
Young Generation ◽  
Experience Design ◽  
Solid Foundation ◽  
The Times ◽  
Wayang Kulit ◽  
The Impact ◽  
Modern Era

Young generation nowadays has lack of knowledge on the culture of shadow puppet (wayang kulit) which is a heritage that has a high value of art and philosophy. This is caused by the impact of foreign cultures rapidly entering Indonesia. The rapid development of the information technology through internet & game has led to globalization that seems to be not limited to space and time. The speed of information and foreign cultures cannot be stopped. The culture of shadow puppet (wayang kulit) is getting eroded and is not much known by the modern society nowadays. This is an irony to a big nation which has a rich heritage, so it is our obligation as a citizen to maintain and preserve it. Based on the formulae of AIGA 2015 that defines (time + content + context) / time = experience design, the game of wayang kulit (shadow puppet) Gatotkaca put forbattled different experience to users in exploring the information and entertainment in those media. Having the spirit of moderate Postmodernism, the design plan called User Interface which combines the modern and classic traditional elements will encourage new experience to the users (Experience Design). The design recognizes times and trends, and it keeps changing as the development of the times. The design can be a pace setter to next individuals who are called to maintain and preserve national cultures, in general, and wayang kulit purwa, in particular, through digital media. The development in the modern era will not change the identity of shadow puppet (wayang kulit) culture since it has solid foundation.

scholarly journals E-Learning in Dental Schools in the Times of COVID-19: A Review and Analysis of an Educational Resource in Times of the COVID-19 Pandemic

2020 ◽  
pp. 207-224
Author(s):  
Daniel Chavarría-Bolaños ◽  
Adrián Gómez-Fernández ◽  
Carmen Dittel-Jiménez ◽  
Mauricio Montero-Aguilar
Keyword(s):  
Learning Strategies ◽  
Learning Experience ◽  
Negative Consequences ◽  
Teachers And Students ◽  
Academic Courses ◽  
E Learning ◽  
The Times ◽  
Teaching Learning ◽  
Dental Schools ◽  
The Impact

While countries are facing different stages in their COVID-19 infection rates, worldwide there are millions of students affected by universities’ facilities closures due to the pandemic. Some institutions have enforced strategies to transfer some courses to a virtual modality, but many Dental Schools have been challenged to deal with a situation which requires emergency measures to continue the academic course in the middle of lock-downs and social distancing measures. Despite the fact that the number of online academic programs available, especially graduate programs, has increased in diverse modalities, this pandemic forced e-learning processes to develop abruptly. The likelihood of using e-learning strategies in dentistry was substantiated in the scientific literature and an overview of these opportunities is presented. Additionally, the experience of the University of Costa Rica Faculty of Dentistry is presented, as it was evident that some of the key elements in a e-learning environment needed a quick enhancement and initiation of some processes was required. First, it was necessary to categorize the academic courses depending on their virtualization's possibility (curricula analysis and classification), to better understand the extent of the impact and the work needed to contain, as far as the possibilities allowed, negative consequences on students learning process. Second, teachers needed further training in the application of virtual strategies which they hadn’t used before. do Third, an evaluation of the students’ conditions and needs was conducted in a form of a survey. Finally, teachers and students activated the available virtual platforms. For many Dental Schools, this virtualization process is an ongoing progress although it was abruptly imposed, but this moment indeed represents an enormous opportunity to move forward and get immerse in the virtualization environment as a teaching/learning experience.

scholarly journals Simulating the Impact of the Internal Structure of Phytoplankton on the Bulk Particulate Backscattering Ratio using a Two-Layered Spherical Geometry for Cells

2018 ◽  
Author(s):  
Lucile Duforêt-Gaurier ◽  
David Dessailly ◽  
William Moutier ◽  
Hubert Loisel
Keyword(s):  
Coastal Waters ◽  
Natural Waters ◽  
Heterotrophic Bacteria ◽  
Relative Concentration ◽  
Spherical Geometry ◽  
The Third ◽  
Study Case ◽  
Coated Spheres ◽  
The Impact ◽  
Phytoplankton Cells

The bulk backscattering ratio ($\tilde{b_{bp}}$) is commonly used as a descriptor of the bulk real refractive index of the particulate assemblage in natural waters. Based on numerical simulations, we analyze the impact of heterogeneity of phytoplankton cells on $\tilde{b_{bp}}$. $\tilde{b_{bp}}$ is modeled considering viruses, heterotrophic bacteria, phytoplankton, detritus, and minerals. Three study cases are defined according to the relative abundance of these different components. Two study cases represent typical situations in open ocean, outside (No-B/No-M) and inside bloom (B/No-M). The third study case is typical of coastal waters with the presence of minerals. Phytoplankton cells are modeled by a two-layered spherical geometry representing a chloroplast surrounding the cytoplasm. The $\tilde{b_{bp}}$ values are higher when heterogeneity is considered because the contribution of coated spheres to backscattering is higher than homogeneous spheres. The impact of heterogeneity is however strongly conditioned by the hyperbolic slope $\xi$ of the particle size distribution. Even if the relative concentration of phytoplankton is small (<1%), $\tilde{b_{bp}}$ increases by about 60% (for $\xi=4.3$ and for the No-B/No-M water body), when the heterogeneity is taken into account, in comparison with a particulate population only composed by homogeneous spheres. As expected, heterogeneity has a much smaller impact (about 5$\%$ for $\xi=4.3$) on $\tilde{b_{bp}}$ when minerals are added.

scholarly journals WADAH KOMUNITAS DAN REKREASI SEBAGAI RUANG KE - 3 DENGAN URBAN AKUPUNTUR METODE MENGHIDUPKAN DAN MENGEMBALIKAN CITRA PASAR BARU

2020 ◽  
Vol 2 (2) ◽  
pp. 1427
Author(s):  
Stephen Stephen ◽  
Franky Liauw
Keyword(s):  
Shopping Center ◽  
Small Scale ◽  
Urban Spatial Structure ◽  
Social Culture ◽  
Shopping Area ◽  
The World ◽  
To Come ◽  
The Times ◽  
The Impact ◽  
The City

At present the activity of buying and selling/trading has been developing rapidly for decades. The growth of new malls spread throughout Jakarta. Making Jakarta the city with the largest and most shopping center in the world, with more than 173 malls. Coupled with the help of technology, an online shop platform has emerged that makes it easy for visitors to shop without having to come to the store. With the help of electronic media tools such as tablets or Smartphones. Nowadays, malls are not only a place to shop but also a place for recreation, socializing, or just for a walk alone. The progress of technology and human culture is changing. It's one of the factors that influence the impact of the decline in visitors at the old shopping center, every year such as a Pasar Baru shopping center. Re-Imagine Pasar Baru is a project that aims as a motor/propeller for Pasar Baru Community. Inviting the local people and Shop Owners to take part in making a change. Through a new program that strengthens unity and diversity to bring the conciseness cooperation (Gotong-royong) attitude that has been lost with the development of the times. Creating a place where people can socialize and interact, get closer, get to know each other, and also as a means of recreation for residents, visitors, shop owners, and also this project hopes to bring the Pasar Baru shopping area to life. Through the Urban Acupuncture method by analyzing the needs, potentials, deficiencies, demographics, ecology, etc. that characterize the Pasar Baru area. Where it can present a new program, and produce small-scale changes, but social catalytic intervention into the urban spatial structure. In physical and social-culture in Pasar Baru. Keywords: Community; Gotong Royong; Pasar Baru; Recreation; Urban Acupuncture  AbstrakSaat ini aktivitas Jual-beli/perdagangan sudah berkembang pesat selama beberapa dekade. Tumbuhnya mall-mall baru tersebar di seluruh Jakarta. Menjadikan Jakarta sebagai kota dengan pusat perbelanjaan terbanyak dan terbesar di dunia, dengan lebih dari 173 mall. Ditambah dengan bantuan teknologi, platform online shop memudahkan pengunjung untuk berbelanja tanpa perlu datang ke toko. Dengan bantuan alat media elektronik seperti tablet atau Smartphones. Saat ini, mall bukan hanya menjadi tempat untuk berbelanja melainkan menjadi tempat rekreasi, bersosialisasi, atau hanya sekedar untuk jalan-jalan semata. Kemajuan teknologi serta budaya manusia yang berubah, merupakan salah satu faktor yang berpengaruh terhadap dampak penurunan pengunjung di pusat perbelanjaan lama setiap tahunnya, seperti pusat perbelanjaan Pasar Baru. Re-Imagine Pasar Baru Merupakan proyek yang bertujuan sebagai motor / pengerak daerah Pasar Baru. Mengajak masyarakat dan para pedagang untuk ikut andil dalam melakukan suatu perubahan. Lewat program yang mempererat kesatuan dan persatuan guna memunculkan sikap gotong royong yang sudah hilang seiring berkembangnya zaman. Menciptakan tempat dimana warga dapat bersosialisasi dan berinteraksi, mendekatkan, saling mengenal satu sama lain dan juga sebagai sarana rekreasi warga lokal, dan proyek ini berharap dapat menghidupkan kawasan perbelanjaan Pasar Baru. Lewat metode Urban Acupunture yaitu dengan menganalisis kebutuhan, potensi, kekurangan, demografi, ekologi yang menjadi ciri khas dari kawasan Pasar Baru. Dimana dapat menghadirkan suatu program baru, dan menghasilkan perubahan skala kecil, tetapi intervensi katalitik sosial ke dalam tatanan ruang kota. Bukan hanya sekedar bentuk fisik, tetapi juga berdampak pada sosial dan budaya Kawasan Pasar Baru sendiri. 

PERANCANGAN KOMUNIKASI VISUAL PROMOSI KERAJINAN LAKER PALEMBANG

2020 ◽  
Vol 5 (2) ◽  
Author(s):  
Galang Sabillah Bahar
Keyword(s):  
Daily Life ◽  
Modern Technology ◽  
Cultural Elements ◽  
Visual Communication Design ◽  
The People ◽  
Younger Generation ◽  
The Times ◽  
The Impact ◽  
The City ◽  
Modern Era

<p><em>Laker is a typical Palembang handicraft in the form of all products or household utensils made of wood, rattan, bamboo or whatever is painted with black ink and then coated with varnish as an ingredient to beautify it as well as preservative. In this modern era the use of Crafts Laker in palembang is increasingly fading and it's not longer a culture in the City of palembang, especially the younger generation. The lack of promotion carried out on Laker handicrafts has made many of today's young generations not too familiar with Laker crafts, not even a few of them don’t know at all what laker craft is. Moreover, in the current development era, there is a fear of changing cultural heritage forms as a result of the impact of the development and progress of modern technology and other cultural elements that come from outside. To avoid this, visual promotion efforts are needed to the people of Palembang. This promotion was carried out to be able to invite the people of Palembang to cultivate laker crafts in daily life,especially the younger generation. Therefore the Visual Communication Design, Promotion of Laker Crafts is a form of persuasive effort to the people of Palembang, especially to get to know the Laker Crafts so that they can instill a sense of love and pride in Palembang Laker crafts that are known to the Palembang youth, and can invite Palembang people, especially the younger generation cultivate Laker crafts in daily life along with the trends of the times.</em></p>

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