Begoña Fernández (mathematician)
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Begoña Fernández (mathematician)
María Asunción Begoña Fernández Fernández (published as Begoña Fernández) is a Mexican mathematician specializing in probability theory, stochastic processes, and mathematical finance. She is a professor of mathematics at the National Autonomous University of Mexico (UNAM). Education Fernández studied mathematics at UNAM, graduating in 1979. She earned a master's degree in statistics and operations research in 1986, and completed her doctorate at CINVESTAV in 1990. Recognition Fernández is a member of the Mexican Academy of Sciences The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexico, Mexican scientists, attached to various institutions in the country, as well as a number of eminent forei .... References External links * {{DEFAULTSORT:Fernandez, Begona Year of birth missing (living people) Living people Mexican mathematicians Mexican women mathematicians Probability theor ...
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Probability Theory
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms of probability, axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure (mathematics), measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event (probability theory), event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of determinism, non-deterministic or uncertain processes or measured Quantity, quantities that may either be single occurrences or evolve over time in a random fashion). Although it is no ...
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Stochastic Process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology Ecology () is the natural science of the relationships among living organisms and their Natural environment, environment. Ecology considers organisms at the individual, population, community (ecology), community, ecosystem, and biosphere lev ..., neuroscience, physics, image processing, signal processing, stochastic control, control theory, information theory, computer scien ...
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Mathematical Finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often with the help of stochastic asset models, while the former focuses, in addition to analysis, on building tools of implementation for the models. Also related is quantitative investing, which relies on statistical and numerical models (and lately machine learning) as opposed to traditional fundamental analysis when managing portfolios. French mathematician Louis Bachelier's doctoral thesis, defended in 1900, is considered the first scholarly work on ...
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National Autonomous University Of Mexico
The National Autonomous University of Mexico (, UNAM) is a public university, public research university in Mexico. It has several campuses in Mexico City, and many others in various locations across Mexico, as well as a presence in nine countries. It also has 34 research institutes, 26 museums, and 18 historic sites. A portion of (University City), UNAM's main campus in Mexico City, is a UNESCO World Heritage site that was designed and decorated by some of Mexico's best-known architects and painters. The campus hosted the main events of the 1968 Summer Olympics, and was the birthplace of the Mexican Movement of 1968, student movement of 1968. All Mexican Nobel laureates have been alumni of UNAM. In 2009, the university was awarded the Princess of Asturias Awards, Prince of Asturias Award for Communication and Humanities. More than 25% of the total scientific papers published by Mexican academics come from researchers at UNAM. UNAM was founded in its modern form, on 22 Septemb ...
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Statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of statistical survey, surveys and experimental design, experiments. When census data (comprising every member of the target population) cannot be collected, statisticians collect data by developing specific experiment designs and survey sample (statistics), samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample ...
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Operations Research
Operations research () (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a branch of applied mathematics that deals with the development and application of analytical methods to improve management and decision-making. Although the term management science is sometimes used similarly, the two fields differ in their scope and emphasis. Employing techniques from other mathematical sciences, such as mathematical model, modeling, statistics, and mathematical optimization, optimization, operations research arrives at optimal or near-optimal solutions to decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably industrial engineering. Operations research is often concerned with determining the extreme values of some real-world objective: the Maxima and minima, maximum (of profit, performance, or yield) or minimum (of loss, risk, or cost). Originating in ...
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CINVESTAV
The Center for Research and Advanced Studies of the National Polytechnic Institute (in Spanish: ''Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional'' or simply as ''CINVESTAV-IPN'') is a Mexican non-governmental scientific research institution affiliated with the National Polytechnic Institute and founded by president Adolfo López Mateos on 17 April 1961, initially planned as a postgraduate department of the National Polytechnic Institute; this was later modified by President José López Portillo, on 17 September 1982. The modification by President Portillo stipulates that it is a decentralized organ of public interest, with legal personality and own patrimony. Cinvestav receives an annual subsidy by the Federal Government to fund its operations. Organization Campuses The institute is divided into 10 research centers; three of these are in Mexico City, while the others are dispersed across the country. They are located as follows: *Me ...
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Mexican Academy Of Sciences
The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexico, Mexican scientists, attached to various institutions in the country, as well as a number of eminent foreign colleagues, including various Nobel Prize winners. The organization, which encompasses exact and natural sciences as well as the social sciences and humanities, is founded on the belief that education, based on the truth of scientific knowledge, is the only means, in the short and long term, of achieving the development of the Mexican spirit and national sovereignty. The Academia is an open forum of discussion, criticism and respectful confrontation of ideas and models, but above all, of tolerance and agreement. Its strength lies in the commitment and work of its members and, by its very nature, it constitutes an ideal sphere for the independent, multidisciplinary analysis of the country's reality. Through its programs, the Academia und ...
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Year Of Birth Missing (living People)
A year is a unit of time based on how long it takes the Earth to orbit the Sun. In scientific use, the tropical year (approximately 365 solar days, 5 hours, 48 minutes, 45 seconds) and the sidereal year (about 20 minutes longer) are more exact. The modern calendar year, as reckoned according to the Gregorian calendar, approximates the tropical year by using a system of leap years. The term 'year' is also used to indicate other periods of roughly similar duration, such as the lunar year (a roughly 354-day cycle of twelve of the Moon's phasessee lunar calendar), as well as periods loosely associated with the calendar or astronomical year, such as the seasonal year, the fiscal year, the academic year, etc. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by changes in weather, the hours of daylight, and, consequently, vegetation and soil fertility. In temperate and subpolar regions around the planet, four seasons a ...
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Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ...
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Mexican Mathematicians
Mexican may refer to: Mexico and its culture *Being related to, from, or connected to the country of Mexico, in North America ** People *** Mexicans, inhabitants of the country Mexico and their descendants *** Mexica, ancient indigenous people of the Valley of Mexico ** Being related to the State of Mexico, one of the 32 federal entities of Mexico ** Culture of Mexico *** Mexican cuisine *** historical synonym of Nahuatl, language of the Nahua people (including the Mexica) Arts and entertainment * "The Mexican" (short story), by Jack London * "The Mexican" (song), by the band Babe Ruth * Regional Mexican, a Latin music radio format Films * ''The Mexican'' (1918 film), a German silent film * ''The Mexican'' (1955 film), a Soviet film by Vladimir Kaplunovsky based on the Jack London story, starring Georgy Vitsin * ''The Mexican'', a 2001 American comedy film directed by Gore Verbinski, starring Brad Pitt and Julia Roberts Other uses * USS ''Mexican'' (ID-1655), United State ...
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