Caryn Navy
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Caryn Navy
Caryn Linda Navy (born July 5, 1953) is an American mathematician and computer scientist. Blind since childhood, she is chiefly known for her work in set-theoretic topology and Braille technology. Early life Navy was born in Brooklyn, New York in 1953. Born premature, she was diagnosed as totally blind from retinopathy of prematurity. Her family soon discovered that she could actually see from the corner of one eye, but at age 10 she lost all sight due to retinal detachment. The next year, in sixth grade, Navy began learning to read and write Braille at school. She also learned the Nemeth Braille system for writing mathematics, which became her favorite subject. She enjoyed team math competitions, and at age 14 independently rediscovered Euclid's formula for even perfect numbers. She also learned Hebrew Braille in preparation for her bat mitzvah service. At age 16 Navy was hired for her first job, as a Dictaphone typist in New York City. She took a class to learn to travel the ...
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Retinopathy Of Prematurity
Retinopathy of prematurity (ROP), also called retrolental fibroplasia (RLF) and Terry syndrome, is a disease of the eye affecting prematurely born babies generally having received neonatal intensive care, in which oxygen therapy is used due to the premature development of their lungs. It is thought to be caused by disorganized growth of retinal blood vessels which may result in scarring and retinal detachment. ROP can be mild and may resolve spontaneously, but it may lead to blindness in serious cases. Thus, all preterm babies are at risk for ROP, and very low birth-weight is an additional risk factor. Both oxygen toxicity and relative hypoxia can contribute to the development of ROP. Causes By the fourth month of pregnancy, the fetal retina has begun to develop vascularization. Such formation of blood vessels appears to be very sensitive to the amount of oxygen supplied, either naturally or artificially. In rare cases ROP has been found in some patients with a mutation in the ...
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Audiobook
An audiobook (or a talking book) is a recording of a book or other work being read out loud. A reading of the complete text is described as "unabridged", while readings of shorter versions are abridgements. Spoken audio has been available in schools and public libraries and to a lesser extent in music shops since the 1930s. Many spoken word albums were made prior to the age of cassettes, compact discs, and downloadable audio, often of poetry and plays rather than books. It was not until the 1980s that the medium began to attract book retailers, and then book retailers started displaying audiobooks on bookshelves rather than in separate displays. Etymology The term "talking book" came into being in the 1930s with government programs designed for blind readers, while the term "audiobook" came into use during the 1970s when audiocassettes began to replace phonograph records. In 1994, the Audio Publishers Association established the term "audiobook" as the industry standard. H ...
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Massachusetts Institute Of Technology
The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the most prestigious and highly ranked academic institutions in the world. Founded in response to the increasing industrialization of the United States, MIT adopted a European polytechnic university model and stressed laboratory instruction in applied science and engineering. MIT is one of three private land grant universities in the United States, the others being Cornell University and Tuskegee University. The institute has an urban campus that extends more than a mile (1.6 km) alongside the Charles River, and encompasses a number of major off-campus facilities such as the MIT Lincoln Laboratory, the Bates Center, and the Haystack Observatory, as well as affiliated laboratories such as the Broad and Whitehead Institutes. , 98 ...
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New York City Subway
The New York City Subway is a rapid transit system owned by the government of New York City and leased to the New York City Transit Authority, an affiliate agency of the state-run Metropolitan Transportation Authority (MTA). Opened on October 27, 1904, the New York City Subway is one of the world's oldest public transit systems, one of the most-used, and the one with the most stations, with New York City Subway stations, 472 stations in operation (424 if stations connected by transfers are counted as single stations). Stations are located throughout the boroughs of Manhattan, Brooklyn, Queens, and the Bronx. The system has operated 24/7 service every day of the year throughout most of its history, barring emergencies and disasters. By annual ridership, the New York City Subway is the busiest rapid transit system in both the Western Hemisphere and the Western world, as well as the List of metro systems, seventh-busiest rapid transit rail system in the world. In , the subway deliv ...
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New York City
New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the List of United States cities by population density, most densely populated major city in the United States, and is more than twice as populous as second-place Los Angeles. New York City lies at the southern tip of New York (state), New York State, and constitutes the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the world by urban area, urban landmass. With over 20.1 million people in its metropolitan statistical area and 23.5 million in its combined statistical area as of 2020, New York is one of the world's most populous Megacity, megacities, and over 58 million people live within of the city. New York City is a global city, global Culture of New ...
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Dictaphone
Dictaphone was an American company founded by Alexander Graham Bell that produced dictation machines. It is now a division of Nuance Communications, based in Burlington, Massachusetts. Although the name "Dictaphone" is a trademark, it has become genericized as a means to refer to any dictation machine. History The Volta Laboratory was established by Alexander Graham Bell in Washington, D.C. in 1881. When the Laboratory's sound recording inventions were sufficiently developed with the assistance of Charles Sumner Tainter and others, Bell and his associates created the Volta Graphophone Company, which later merged with the American Graphophone Company, which itself later evolved into Columbia Records. The name "Dictaphone" was trademarked by the Columbia Graphophone Company in 1907, which soon became the leading manufacturer of such devices. This perpetuated the use of wax cylinders for voice recording, which had otherwise been eclipsed by disc-based technology. Dictaphone ...
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Hebrew Braille
Hebrew Braille ( he, ברייל עברי) is the braille alphabet for Hebrew. The International Hebrew Braille Code is widely used. It was devised in the 1930s and completed in 1944. It is based on international norms, with additional letters devised to accommodate differences between English Braille and the Hebrew alphabet. Unlike Hebrew, but in keeping with other braille alphabets, Hebrew Braille is read from left to right instead of right to left, and unlike English Braille, it is an abjad, with all letters representing consonants. History Prior to the 1930s, there were several regional variations of Hebrew Braille, but no universal system. In 1930, the Jewish Braille Institute of America, under the direction of the Synagogue Council of America, assembled an international committee for the purpose of producing a unified embossed code to be used by sightless people throughout the world. The committee membership consisted of Isaac Maletz, representing the Jewish Institute for t ...
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Perfect Number
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself; in symbols, \sigma_1(n)=2n where \sigma_1 is the sum-of-divisors function. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 = 28. This definition is ancient, appearing as early as Euclid's ''Elements'' (VII.22) where it is called (''perfect'', ''ideal'', or ''complete number''). Euclid also proved a formation rule (IX.36) whereby q(q+1)/2 is an even perfect number whenever q is a prime of the form 2^p-1 for positive integer p—what is now called a Mersenne prime. Two millennia ...
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Euclid
Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus (mathematician), Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken f ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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