Graffiti (program)
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Graffiti (program)
Graffiti is a computer program which makes conjectures in various subfields of mathematics (particularly graph theory) and chemistry, but can be adapted to other fields. It was written by Siemion Fajtlowicz and Ermelinda DeLaViña at the University of Houston The University of Houston (UH) is a Public university, public research university in Houston, Texas. Founded in 1927, UH is a member of the University of Houston System and the List of universities in Texas by enrollment, university in Texas .... Research on conjectures produced by Graffiti has led to over 60 publications by other mathematicians.. References External linksGraffiti & Automated Conjecture-MakingSiemion Fajtlowicz
Chemistry software
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Computer Program
A computer program is a sequence or set of instructions in a programming language for a computer to execute. Computer programs are one component of software, which also includes documentation and other intangible components. A computer program in its human-readable form is called source code. Source code needs another computer program to execute because computers can only execute their native machine instructions. Therefore, source code may be translated to machine instructions using the language's compiler. ( Assembly language programs are translated using an assembler.) The resulting file is called an executable. Alternatively, source code may execute within the language's interpreter. If the executable is requested for execution, then the operating system loads it into memory and starts a process. The central processing unit will soon switch to this process so it can fetch, decode, and then execute each machine instruction. If the source code is requested for execution, ...
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Conjecture
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them. Important examples Fermat's Last Theorem In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, ''b'', and ''c'' can satisfy the equation ''a^n + b^n = c^n'' for any integer value of ''n'' greater than two. This theorem was first conjectured by Pierre de Fermat in 1637 in the margin of a copy of '' Arithmetica'', where he claimed that he had a proof that was too large to fit in the margin. The first successful proof was released in 1994 by Andrew Wiles, and formally published in 1995, after 358 years of effort by mathe ...
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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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Graph Theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ...
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New York Times
''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid digital media, digital subscribers. It also is a producer of popular podcasts such as ''The Daily (podcast), The Daily''. Founded in 1851 by Henry Jarvis Raymond and George Jones (publisher), George Jones, it was initially published by Raymond, Jones & Company. The ''Times'' has won List of Pulitzer Prizes awarded to The New York Times, 132 Pulitzer Prizes, the most of any newspaper, and has long been regarded as a national "newspaper of record". For print it is ranked List of newspapers by circulation, 18th in the world by circulation and List of newspapers in the United States, 3rd in the U.S. The paper is owned by the New York Times Company, which is Public company, publicly traded. It has been governed by the Sulzberger family since 189 ...
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Chemistry
Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a Chemical reaction, reaction with other Chemical substance, substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both Basic research, basic and Applied science, applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties ...
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Siemion Fajtlowicz
Siemion Fajtlowicz is a Polish-American mathematician, formerly a professor at the University of Houston. He is known for creating and developing the conjecture-making computer program Graffiti.. Fajtlowicz received his Ph.D. in 1967 or 1968 from the Institute of Mathematics of the Polish Academy of Sciences, under the supervision of Edward Marczewski Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution. Marczewski was a member of the Warsaw School of Mathematics. His life and work aft ..... References External links Siemion Fajtlowiczat Graph Theory White Pages Archived copy of home page at UH Year of birth missing (living people) Living people 20th-century Polish mathematicians 21st-century Polish mathematicians Graph theorists {{Poland-mathematician-stub ...
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Ermelinda DeLaViña
Ermelinda DeLaViña is an American mathematician specializing in graph theory. She is a professor in the Computer and Mathematical Sciences Department of the University of Houston–Downtown, where she is also Associate Dean of the College of Science and Technology. Education DeLaViña grew up in a working-class family in Texas, with roots stretching back for five generations there. Her parents came from Bishop, Texas, but raised her in Houston. Inspired by a 9th-grade algebra teacher, she aimed for a college education despite the discouragement of her school counselors. She started her undergraduate studies at the University of Houston, but dropped out after one term, and after working for two years began again at the University of Texas–Pan American, where she graduated with a bachelor's degree in mathematics and a minor in computer science in 1989, becoming the first in her family with a college degree. She returned to graduate school at the University of Houston and completed ...
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University Of Houston
The University of Houston (UH) is a Public university, public research university in Houston, Texas. Founded in 1927, UH is a member of the University of Houston System and the List of universities in Texas by enrollment, university in Texas with over 47,000 students. Its campus, which is primarily in southeast Houston, spans , with the inclusion of its Sugar Land and Katy sites. The university is Carnegie Classification of Institutions of Higher Education, classified as an "R1: Doctoral Universities – Very high research activity." The university offers more than 276 degree programs through its 16 academic colleges and schools and an interdisciplinary Honors College - including programs leading to professional degrees in architecture, law, optometry, medicine and pharmacy. The institution spends $203 million annually in research, and operates more than 35 research centers and institutes on campus. Interdisciplinary research includes superconductivity, space commercializatio ...
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Times Higher Education
''Times Higher Education'' (''THE''), formerly ''The Times Higher Education Supplement'' (''The Thes''), is a British magazine reporting specifically on news and issues related to higher education. Ownership TPG Capital acquired TSL Education from Charterhouse in a £400 million deal in July 2013 and rebranded TSL Education, of which Times Higher Education was a part, as TES Global. The acquisition by TPG marked the third change of ownership in less than a decade for Times Higher Education, which was previously owned by News International before being acquired by Exponent Private Equity in 2005. In March 2019, private equity group Inflexion Pvt. Equity Partners LLP acquired Times Higher Education from TPG Capital, becoming THE's fourth owners in 15 years. Following the acquisition by the private equity group, Times Higher Education was carved out as an independent entity from TES Global. The investment was made by Inflexion's dedicated mid-market buyout funds. The exclusive a ...
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Chemistry Software
Chemistry is the scientific study of the properties and behavior of matter. It is a natural science that covers the elements that make up matter to the compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both basic and applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties of the soil on the moon (cosmochemistry), how medications work (pharmacology), and how to collect DNA evidence a ...
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