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Robert W. Floyd
Robert W. Floyd (born Robert Willoughby Floyd; June 8, 1936 – September 25, 2001) was an American computer scientist. His contributions include the design of the Floyd–Warshall algorithm (independently of Stephen Warshall), which efficiently finds all shortest paths in a graph and his work on parsing; Floyd's cycle-finding algorithm for detecting cycles in a sequence was attributed to him as well. In one isolated paper he introduced the important concept of error diffusion for rendering images, also called Floyd–Steinberg dithering (though he distinguished dithering from diffusion). He pioneered in the field of program verification using logical assertions with the 1967 paper ''Assigning Meanings to Programs''. This was a contribution to what later became Hoare logic. Floyd received the Turing Award in 1978. Life Born in New York City, Floyd finished high school at age 14. At the University of Chicago, he received a Bachelor of Arts (B.A.) in liberal arts in 1953 (when ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive with a respective county. The city is the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the United States by both population and urban area. New York is a global center of finance and commerce, culture, technology, entertainment and media, academics, and scientific output, the arts and fashion, and, as home to the headquarters of the United Nations, international diplomacy. With an estimated population in 2024 of 8,478,072 distributed over , the city is the most densely populated major city in the United States. New York City has more than double the population of Los Angeles, the nation's second-most populous city. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Floyd–Steinberg Dithering
Floyd–Steinberg dithering is an image dithering algorithm first published in 1976 by Robert W. Floyd and Louis Steinberg. It is commonly used by image manipulation software, for example, when converting an image from a Truecolor 24-bit PNG format into a GIF format, which is restricted to a maximum of 256 colors. Implementation The algorithm achieves dithering using error diffusion, meaning it pushes (adds) the residual quantization error of a pixel onto its neighboring pixels, to be dealt with later. It spreads the debt out according to the distribution (shown as a map of the neighboring pixels): \begin & & * & \frac & \ldots \\ \ldots & \frac & \frac & \frac & \ldots \\ \end The pixel indicated with a star (*) indicates the pixel currently being scanned, and the blank pixels are the previously-scanned pixels. The algorithm scans the image from left to right, top to bottom, quantiz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logical Assertion
In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage. For example, typical judgments in first-order logic would be ''that a string is a well-formed formula'', or ''that a proposition is true''. Similarly, a judgment may assert the occurrence of a free variable in an expression of the object language, or the provability of a proposition. In general, a judgment may be any inductively definable assertion in the metatheory. Judgments are used in formalizing Formal system, deduction systems: a logical axiom expresses a judgment, premises of a rule of inference are formed as a sequence of judgments, and their conclusion is a judgment as well (thus, hypotheses and conclusions of proofs are judgments). A characteristic feature of the variants of Hilbert-style deduction systems is that the ''context'' is not changed in any of their rules of inference, while both natural deduction and sequent calculus contain some context-changing rul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Program Verification
In the context of hardware and software systems, formal verification is the act of proving or disproving the correctness of a system with respect to a certain formal specification or property, using formal methods of mathematics. Formal verification is a key incentive for formal specification of systems, and is at the core of formal methods. It represents an important dimension of analysis and verification in electronic design automation and is one approach to software verification. The use of formal verification enables the highest Evaluation Assurance Level ( EAL7) in the framework of common criteria for computer security certification. Formal verification can be helpful in proving the correctness of systems such as: cryptographic protocols, combinational circuits, digital circuits with internal memory, and software expressed as source code in a programming language. Prominent examples of verified software systems include the CompCert verified C compiler and the seL ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cycle Graph
In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices (at least 3, if the graph is simple) connected in a closed chain. The cycle graph with vertices is called . The number of vertices in equals the number of edges, and every vertex has degree 2; that is, every vertex has exactly two edges incident with it. If n = 1, it is an isolated loop. Terminology There are many synonyms for "cycle graph". These include simple cycle graph and cyclic graph, although the latter term is less often used, because it can also refer to graphs which are merely not acyclic. Among graph theorists, cycle, polygon, or ''n''-gon are also often used. The term ''n''-cycle is sometimes used in other settings. A cycle with an even number of vertices is called an even cycle; a cycle with an odd number of vertices is called an odd cycle. Properties A cycle graph is: * 2-edge colorable, if and only if it has an even n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parsing
Parsing, syntax analysis, or syntactic analysis is a process of analyzing a String (computer science), string of Symbol (formal), symbols, either in natural language, computer languages or data structures, conforming to the rules of a formal grammar by breaking it into parts. The term ''parsing'' comes from Latin ''pars'' (''orationis''), meaning Part of speech, part (of speech). The term has slightly different meanings in different branches of linguistics and computer science. Traditional Sentence (linguistics), sentence parsing is often performed as a method of understanding the exact meaning of a sentence or word, sometimes with the aid of devices such as sentence diagrams. It usually emphasizes the importance of grammatical divisions such as subject (grammar), subject and predicate (grammar), predicate. Within computational linguistics the term is used to refer to the formal analysis by a computer of a sentence or other string of words into its constituents, resulting in a par ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Theory
In mathematics and computer science, graph theory is the study of ''graph (discrete mathematics), graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of ''Vertex (graph theory), vertices'' (also called ''nodes'' or ''points'') which are connected by ''Glossary of graph theory terms#edge, edges'' (also called ''arcs'', ''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 (mathematics), set of vertices (also called nodes or points); * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stephen Warshall
Stephen Warshall (November 15, 1935 – December 11, 2006) was an American computer scientist. During his career, Warshall carried out research and development in operating systems, compiler design, language design, and operations research. Warshall died on December 11, 2006, of cancer at his home in Gloucester, Massachusetts. He is survived by his wife, Sarah Dunlap, and two children, Andrew D. Warshall and Sophia V. Z. Warshall. Early life Warshall was born in New York City and went to public school in Brooklyn. He graduated from A.B. Davis High School in Mount Vernon, New York, and attended Harvard University, receiving a bachelor's degree in mathematics in 1956. He never received an advanced degree since at that time no programs were available in his areas of interest. However, he took graduate courses at several different universities and contributed to the development of computer science and software engineering. In the 1971–1972 academic year, he lectured on software e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer Scientist
A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on specific areas (such as algorithm and data structure development and design, software engineering, information theory, database theory, theoretical computer science, numerical analysis, programming language theory, compiler, computer graphics, computer vision, robotics, computer architecture, operating system), their foundation is the theoretical study of computing from which these other fields derive. A primary goal of computer scientists is to develop or validate models, often mathematical, to describe the properties of computational systems (Processor (computing), processors, programs, computers interacting with people, computers interacting with other computers, etc.) with an overall objective of discovering designs that yield useful ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer Pioneer Award
The Computer Pioneer Award was established in 1981 by the Board of Governors of the IEEE Computer Society to recognize and honor the vision of those people whose efforts resulted in the creation and continued vitality of the computer industry. The award is presented to outstanding individuals whose main contribution to the concepts and development of the computer field was made at least fifteen years earlier. The recognition is engraved on a silver medal specially struck for the Society. This award has now been renamed to "Women of the ENIAC Computer Pioneer Award". Award types The award has two types of recipients: * Computer Pioneer Charter Recipients - At the inauguration of this award, the individuals who already meet the Computer Pioneer Award criteria and also have received IEEE Computer Society awards prior to 1981. * Computer Pioneer Recipients - Awarded annually since 1981. Computer Pioneer Charter Recipients * Howard H. Aiken - Large-Scale Automatic Computation * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turing Award
The ACM A. M. Turing Award is an annual prize given by the Association for Computing Machinery (ACM) for contributions of lasting and major technical importance to computer science. It is generally recognized as the highest distinction in the field of computer science and is often referred to as the "List of prizes known as the Nobel of a field or the highest honors of a field, Nobel Prize of Computing". , 79 people have been awarded the prize, with the most recent recipients being Andrew Barto and Richard S. Sutton, who won in 2024. The award is named after Alan Turing, also referred as "Father of Computer Science", who was a British mathematician and Reader (academic rank), reader in mathematics at the University of Manchester. Turing is often credited as being the founder of theoretical computer science and artificial intelligence, and a key contributor to the Allied cryptanalysis of the Enigma cipher during World War II. From 2007 to 2013, the award was accompanied by a prize ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christiane Floyd
Christiane Floyd (née Riedl; born 26 April 1943) is an Austrian computer scientist. In 1978, she accomplished becoming the very first female professor of computer science in Germany, and was a pioneer of evolutionary participatory software design—a precursor to open-source software development. Biography Born Christiane Riedl, she began her career studying mathematics at the University of Vienna, where she completed her PhD in 1966. From 1966 to 1968, she worked as a systems programmer using an ALGOL 60 compiler at Siemens in Munich, Germany. From 1968 to 1973, she worked at the computer science department of Stanford University in the United States as a research associate and part-time lecturer. In 1973, she joined the Munich software development company Softlab, where she worked as a senior consultant and was involved in the development and demonstration of Maestro I, [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
