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Evelyn Silvia
Evelyn Marie Silvia (February 8, 1948 – January 21, 2006) was an American mathematician specializing in functional analysis and particularly in starlike functions. She was a professor at the University of California, Davis, and as well as teaching mathematics at the undergraduate and graduate levels there, was active in the improvement of secondary-school mathematics education. Education Silvia was born in Fall River, Massachusetts. A seventh-grade mathematics teacher told her she was the best student he had ever seen, a moment that built her confidence in the subject and led her to become a mathematician. She graduated from Southeastern Massachusetts University in 1969, with a bachelor's degree in mathematics. Continuing her graduate education at Clark University, she earned a master's degree in 1973 and completed her Ph.D. in 1973. Her doctoral dissertation, ''Classes Related to Alpha-Starlike Functions'', was supervised by Herb Silverman. Career Silvia joined the UC Davis f ...
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Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, or Topological space#Definitions, topology) and the linear transformation, linear functions defined on these spaces and suitably respecting these structures. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining, for example, continuous function, continuous or unitary operator, unitary operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of v ...
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The Sacramento Bee
''The Sacramento Bee'' is a daily newspaper published in Sacramento, California, in the United States. Since its foundation in 1857, ''The Bee'' has become the largest newspaper in Sacramento, the fifth largest newspaper in California, and the 27th largest paper in the U.S. It is distributed in the upper Sacramento Valley, with a total circulation area that spans about : south to Stockton, California, north to the Oregon border, east to Reno, Nevada, and west to the San Francisco Bay Area.History of ''The Sacramento Bee''
from the newspaper's website
''The Bee'' is the flagship of the nationwide McClatchy Company. Its "Scoopy Bee" mascot, created by

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University Of California, Davis Faculty
A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law and notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde''A History of the University in Europe: Volume 1, Universities in the Midd ...
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American Mathematics Educators
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams S ...
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Functional Analysts
Functional may refer to: * Movements in architecture: ** Functionalism (architecture) ** Form follows function * Functional group, combination of atoms within molecules * Medical conditions without currently visible organic basis: ** Functional symptom ** Functional disorder * Functional classification for roads * Functional organization * Functional training In mathematics * Functional (mathematics), a term applied to certain scalar-valued functions in mathematics and computer science ** Minnesota functionals ** Functional analysis, a branch of mathematical analysis ** Linear functional, a type of functional often simply called a functional in the context of functional analysis * Higher-order function, also called a functional, a function that takes other functions as arguments In computer science, software engineering * "Functional" (noun) may be used as a synonym for Higher-order function * (C++), a header file in the C++ Standard Library * Functional design, a paradi ...
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21st-century American Mathematicians
File:1st century collage.png, From top left, clockwise: Jesus is crucified by Roman authorities in Judaea (17th century painting). Four different men ( Galba, Otho, Vitellius, and Vespasian) claim the title of Emperor within the span of a year; The Great Fire of Rome (18th-century painting) sees the destruction of two-thirds of the city, precipitating the empire's first persecution against Christians, who are blamed for the disaster; The Roman Colosseum is built and holds its inaugural games; Roman forces besiege Jerusalem during the First Jewish–Roman War (19th-century painting); The Trưng sisters lead a rebellion against the Chinese Han dynasty (anachronistic depiction); Boudica, queen of the British Iceni leads a rebellion against Rome (19th-century statue); Knife-shaped coin of the Xin dynasty., 335px rect 30 30 737 1077 Crucifixion of Jesus rect 767 30 1815 1077 Year of the Four Emperors rect 1846 30 3223 1077 Great Fire of Rome rect 30 1108 1106 2155 Boudic ...
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2006 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ...
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1948 Births
Events January * January 1 ** The General Agreement on Tariffs and Trade (GATT) is inaugurated. ** The current Constitutions of Constitution of Italy, Italy and of Constitution of New Jersey, New Jersey (both later subject to amendment) go into effect. ** The railways of Britain are nationalized, to form British Railways. * January 4 – British rule in Burma, Burma gains its independence from the United Kingdom, becoming an independent republic, named the 'Post-independence Burma (1948–1962), Union of Burma', with Sao Shwe Thaik as its first President and U Nu its first Prime Minister. * January 5 – In the United States: ** Warner Brothers shows the first color newsreel (''Tournament of Roses Parade'' and the ''Rose Bowl Game''). ** The first Kinsey Reports, Kinsey Report, ''Sexual Behavior in the Human Male'', is published. * January 7 – Mantell UFO incident: Kentucky Air National Guard pilot Thomas Mantell crashes while in pursuit of an unidentified fl ...
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Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly ..., college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 11 Dupont in the Dupont Circle, Washington, D.C., Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to re ...
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Nevanlinna's Criterion
In mathematics, Nevanlinna's criterion in complex analysis, proved in 1920 by the Finnish mathematician Rolf Nevanlinna, characterizes holomorphic univalent functions on the unit disk which are starlike. Nevanlinna used this criterion to prove the Bieberbach conjecture for starlike univalent functions. Statement of criterion A univalent function ''h'' on the unit disk satisfying ''h''(0) = 0 and ''h(0) = 1 is starlike, i.e. has image invariant under multiplication by real numbers in ,1 if and only if z h^\prime(z)/h(z) has positive real part for , ''z'',  < 1 and takes the value 1 at 0. Note that, by applying the result to ''a''•''h''(''rz''), the criterion applies on any disc , ''z'', < r with only the requirement that ''f''(0) = 0 and ''f(0) ≠ 0.


Proof of criterion

Let ''h''(''z'') be a starlike univalent function on , ''z'', < 1 with ''h''(0) = 0 and ''h(0) = 1. For ''t'' < 0, define :f_t(z)=h^( ...
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