Enlightening Symbols

Author(s):  
Joseph Mazur

While all of us regularly use basic mathematical symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? This book explains the fascinating history behind the development of our mathematical notation system. It shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, the book looks at how historians have disagreed over the origins of the number system for the past two centuries. It follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. It also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. It considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

1971 ◽  
Vol 24 (3) ◽  
pp. 327-340 ◽  
Author(s):  
Leslie P. Fairfield

Sixteenth-Century Englishmen were not frequently given to self-scrutiny—at least not in writing. This was a disinclination which they shared with their medieval forbears, since autobiography was not a very common form of literary activity in the Middle Ages. Monastic self-analysis, sub specie aeternitatis and guided by the standard categories of virtues and vices—yes. Coherent study of the self, for its own sake and in all its quirks and idiosyncracies—scarcely ever. In the early sixteenth century, the murmur of new ideas from Italy did begin to touch England: a sense of distance and of difference between the present and the past, and an awakened appreciation for the discrete, the singular in human personality.


2020 ◽  
Vol 18 (1) ◽  
pp. 123-135
Author(s):  
Cristina Castro Simarro

This article investigates traditional and modern adhesives used to consolidate distemper paintings on canvas, with special reference to sixteenth century Hispano-tüchlein paintings, also called sargas. Such artworks are not only difficult to handle due to their large size, but they are also inherently fragile and/or are highly hygroscopic. This sensitivity is caused in part by the nature of the painting technique as well as the lack of varnish, which might account for why conservation methods related to these works have not been addressed in the past. This investigation was conducted on historical reconstructions samples to assess and develop treatment strategies for distemper paintings, in particular issues linked to powdery/friable matte paint layers. The impact of several adhesives on the painted surface of historical reconstructions was evaluated before and after the samples were subjected to humidity cycling tests using a range of analytical techniques. Such information can be used to aid conservators who face consolidation issues related to underbound paintings or artworks with similar surfaces. The results reveal that there is no one perfect adhesive for matte paint nor one that can be removed completely, once applied. Aquazol® 200 and Funori performed the best, but still introduced changes in colour and gloss, even if minimal.


10.28945/3251 ◽  
2008 ◽  
Author(s):  
Karen Simpson Nikakis

The discovery, development or invention of new objects and phenomena by humankind, requires a new set of words to be coined or adopted to describe it. This is also true of the Information Communication Technology (ICT) world. Words are not neutral, regardless of which dialect or language they occur in. They carry with them associations and connotations based on their previous applications and alliances, and augmented by their shapes, sounds, rhymes and rhythms. The subtext that word choice creates, while often not recognised or acknowledged, is important in considering how communication operates in, and shapes Information Technology (IT) environments. Many words that are now embedded in the ICT lexicon continue to be informed by these earlier meanings, some of which, in the English lexis, are drawn from myths. The vernacular of the ICT lexis reflects its openness to new ideas, the nature of its users, its English language roots and its Western cultural origins. This contributes to a particular communication style. But such lexis can prove problematic for non-English speaking background users and/or those from different cultures. As the ICT vocabulary continues to evolve, these language and cultural underpinnings are coming under challenge, suggesting a language and cultural future very different to the past. This in turn, will create a subtext that affects all users.


2017 ◽  
Vol 2 (12) ◽  
pp. 81-88
Author(s):  
Sandy K. Bowen ◽  
Silvia M. Correa-Torres

America's population is more diverse than ever before. The prevalence of students who are culturally and/or linguistically diverse (CLD) has been steadily increasing over the past decade. The changes in America's demographics require teachers who provide services to students with deafblindness to have an increased awareness of different cultures and diversity in today's classrooms, particularly regarding communication choices. Children who are deafblind may use spoken language with appropriate amplification, sign language or modified sign language, and/or some form of augmentative and alternative communication (AAC).


Author(s):  
Marcin Piatkowski

In this chapter I explain why Poland and most countries in Eastern Europe have always lagged behind Western Europe in economic development. I discuss why in the past the European continent split into two parts and how Western and Eastern Europe followed starkly different developmental paths. I then demonstrate how Polish oligarchic elites built extractive institutions and how they adopted ideologies, cultures, and values, which undermined development from the late sixteenth century to 1939. I also describe how the elites created a libertarian country without taxes, state capacity, and rule of law, and how this ‘golden freedom’ led to Poland’s collapse and disappearance from the map of Europe in 1795. I argue that Polish extractive society was so well established that it could not reform itself from the inside. It was like a black hole, where the force of gravity is so strong that the light could not come out.


Author(s):  
Yuqian Wang ◽  
Mingyan Jiang ◽  
Yinshu Huang ◽  
Zhiyi Sheng ◽  
Xiao Huang ◽  
...  

This study illustrated the physiological and psychological effects of watching videos of different durations showing bamboo forests with varied structures. Physiological indicators, including EEG (electroencephalogram), blood pressure, skin conductance, and pulse, were monitored in 180 Chinese university students (mean age: 20.72 ± 2.56 years) while they were watching bamboo videos. Before and after watching the videos, their psychological indicators, including positive and negative moods, were measured using the Profile of Mood States questionnaire. After watching the bamboo videos of different durations, all of the physiological indicators responded to the stimulation after only 1 min. The indicators showed different trends at 1, 3 and 5 min. EEG decreased and then was maintained at a stable level after 1 min, and the high β, low β, and α waves had no significant differences between 1, 3 and 5 min. Blood pressure dropped to a stable state after 3 min, and the decline was significantly different greater after 3 min than after 1 min. Skin conductance increased for 1 to 5 min, and it did not stabilize after a long time (5 min). Pulse decreased after 1 min but increased after 5 min. After watching the videos with bamboo of varying structures, the physiological and psychological indicators showed significantly different changes. Skin conductance significantly increased (mean value: 6.78%), and the amount of sweat was more effectively reduced, thereby reducing tension, when the students viewed videos of sympodial bamboo forests compared with monopodial bamboo forests. Bamboo forests with a higher canopy density (0.83–0.85) could significantly decrease α waves (mean value: 1.50 Hz), relaxing the human body. High β and low β waves showed greater decreases, with tension reduced more effectively, when bamboo forests with a low tilt ratio (< 1.5%) were viewed. Bamboo forests with neat undergrowth could have more beneficial physiological and psychological effects on the human body.


GigaScience ◽  
2020 ◽  
Vol 9 (11) ◽  
Author(s):  
Alexandra J Lee ◽  
YoSon Park ◽  
Georgia Doing ◽  
Deborah A Hogan ◽  
Casey S Greene

Abstract Motivation In the past two decades, scientists in different laboratories have assayed gene expression from millions of samples. These experiments can be combined into compendia and analyzed collectively to extract novel biological patterns. Technical variability, or "batch effects," may result from combining samples collected and processed at different times and in different settings. Such variability may distort our ability to extract true underlying biological patterns. As more integrative analysis methods arise and data collections get bigger, we must determine how technical variability affects our ability to detect desired patterns when many experiments are combined. Objective We sought to determine the extent to which an underlying signal was masked by technical variability by simulating compendia comprising data aggregated across multiple experiments. Method We developed a generative multi-layer neural network to simulate compendia of gene expression experiments from large-scale microbial and human datasets. We compared simulated compendia before and after introducing varying numbers of sources of undesired variability. Results The signal from a baseline compendium was obscured when the number of added sources of variability was small. Applying statistical correction methods rescued the underlying signal in these cases. However, as the number of sources of variability increased, it became easier to detect the original signal even without correction. In fact, statistical correction reduced our power to detect the underlying signal. Conclusion When combining a modest number of experiments, it is best to correct for experiment-specific noise. However, when many experiments are combined, statistical correction reduces our ability to extract underlying patterns.


1954 ◽  
Vol 14 (3) ◽  
pp. 301-312
Author(s):  
George C. A. Boehrer

The leaders of the independence movements in the several Ibero-American areas frequently turned their attention to the problems of the aborigine. Usually the liberators’ concern was restricted to the pious hope that the Indian would be incorporated into creole society. Detailed programs to this end were not presented. The chief exception was José Bonifacio de Andrada e Silva’s Apontamentos para a civilização dos índios bravos do Império do Brasil. Mostly a drawing upon the experience of the past with a blending of the new ideas of the Enlightenment, the Apontamentos present little new. They are today important because, along with José Bonifácio’s more celebrated treatise on the Negro slave, they show an interest in social problems to which few of his contemporaries gave more than a passing glance. In the present century, they have become the guidepost for Brazil’s Indian program. As such they have frequently been hailed by Brazilians when the Indian problem is discussed.


2017 ◽  
Vol 4 (4) ◽  
pp. 205316801773975 ◽  
Author(s):  
Meagan Smith ◽  
Sean M. Zeigler

Was 9/11 the opening salvo in a new age of terrorism? Some argue that this act ushered in a more chaotic world. Others contend an increased focus on terrorism in the past 15 years is the result of conflating terrorist activity with insurgency. We shed light on these claims by analyzing data on domestic and transnational terrorist incidence from 1989 to 2014. The evidence suggests that the years since 9/11 have been different from those preceding them. Once the prevalence of conflicts is accounted for, the post-9/11 era is a significantly less terror prone period than the years before it. A country not suffering civil conflict was upwards of 60 percent more likely to experience terrorism prior to or during the year 2001 than since. However, the opposite trend holds for those countries with a higher proportion of Muslims. Prior to 2001, countries with higher Muslim populations experienced less domestic terrorism. Since 9/11, these countries have experienced significantly more terrorism – both domestic and international – than they had previously.


Sign in / Sign up

Export Citation Format

Share Document