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Mason Porter
Mason A. Porter is an American mathematician and physicist currently at the University of California, Los Angeles. He is an Elected Fellow of the American Physical Society. He was elected to the 2018 class of fellows of the American Mathematical Society. Early life and education Mason Porter was born in 1976 in Los Angeles. He completed his studies at Beverly Hills High School in 1994 as the Salutatorian of his class. Afterward, he attended California Institute of Technology, where he was a member of House System at the California Institute of Technology, Lloyd House. In 1998, he graduated in with a Bachelor of Science (Honours degree) in Applied Mathematics. For his graduate studies, he went to the Center for Applied Mathematics at Cornell University, where he worked on quantum billiards. He was supervised by Richard Liboff and graduated in 2002 with a PhD. Career Subsequently, Mason Porter had postdoctoral scholar positions at the Georgia Institute of Technology, the Mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Los Angeles
Los Angeles ( ; es, Los Ángeles, link=no , ), often referred to by its initials L.A., is the largest city in the state of California and the second most populous city in the United States after New York City, as well as one of the world's most populous megacities. Los Angeles is the commercial, financial, and cultural center of Southern California. With a population of roughly 3.9 million residents within the city limits , Los Angeles is known for its Mediterranean climate, ethnic and cultural diversity, being the home of the Hollywood film industry, and its sprawling metropolitan area. The city of Los Angeles lies in a basin in Southern California adjacent to the Pacific Ocean in the west and extending through the Santa Monica Mountains and north into the San Fernando Valley, with the city bordering the San Gabriel Valley to it's east. It covers about , and is the county seat of Los Angeles County, which is the most populous county in the United States with an estim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
House System At The California Institute Of Technology
The house system is the basis of undergraduate student residence at the California Institute of Technology (Caltech). Caltech's unique house system is modeled after the residential college system of Oxford and Cambridge in England, although the houses are probably more similar in size and character to the Yale University residential colleges and Harvard University house system. Like a residential college, a house embodies two closely connected concepts: it serves as both a physical building where a majority of its members reside and as the center of social activity for its members. The houses resemble fraternities at other American universities in the shared loyalties they engender. Unlike in fraternities, however, potentially dangerous "rushing" or "pledging" is replaced with two weeks of "Rotation" at the beginning of a student's freshman year, and students generally remain affiliated with one house for the duration of their undergraduate studies. Freshmen have historic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrea Bertozzi
Andrea Louise Bertozzi (born 1965) is an American mathematician. Her research interests are in non-linear partial differential equations and applied mathematics. Education and career She earned her bachelor's and master's degrees from Princeton University, followed by her PhD from Princeton in 1991; her dissertation was titled ''Existence, Uniqueness, and a Characterization of Solutions to the Contour Dynamics Equation''. Prior to joining UCLA in 2003, Bertozzi was an L. E. Dickson Instructor at the University of Chicago, and then Professor of Mathematics and Physics at Duke University. She spent one year at Argonne National Laboratory as the Maria Goeppert-Mayer Distinguished Scholar. She is a member of the faculty of the University of California, Los Angeles, as a Professor of Mathematics (since 2003) and Mechanical and Aerospace Engineering (since 2018) and Director of Applied Mathematics (since 2005). She is a member of the California NanoSystems Institute. Contributions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Danielle Bassett
Dani Smith Bassett (born ) is an American physicist and systems neuroscientist who was the youngest individual to be awarded a 2014 MacArthur fellowship. Bassett, whose pronouns are they/them, was also awarded a 2014 Sloan fellowship. They are currently the J. Peter Skirkanich Professor in the Departments of Bioengineering, Electrical & Systems Engineering, Physics & Astronomy, Neurology, and Psychiatry at the University of Pennsylvania and an external professor of the Santa Fe Institute. Their work focuses on applying network science to the study of learning in the human brain in addition to the study of other complex physical and biological systems. Early life and education Dani S. Bassett (born Danielle Perry) was born in 1981 and was raised in Lock Haven and Reading, Pennsylvania. Pursuing a passion for medicine, and following in family footsteps, Bassett began higher education in an RN program at the Reading Hospital School of Nursing. After discovering a passion for math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alex Arenas
Alex is a given name. It can refer to a shortened version of Alexander, Alexandra, Alexis. People Multiple *Alex Brown (other), multiple people *Alex Gordon (other), multiple people *Alex Harris (other), multiple people *Alex Jones (other), multiple people *Alexander Johnson (other), multiple people *Alex Taylor (other), multiple people Politicians * Alex Allan (born 1951), British diplomat * Alex Attwood (born 1959), Northern Irish politician *Alex Kushnir (born 1978), Israeli politician * Alex Salmond (born 1954), Scottish politician, former First Minister of Scotland Baseball players *Alex Avila (born 1987), American baseball player *Alex Bregman (born 1994), American baseball player *Alex Gardner (baseball) (1861–1921), Canadian baseball player * Alex Katz (baseball) (born 1994), American baseball player *Alex Pompez (1890–1974), American executive in Negro league baseball and Major League Baseball scout * Alex Rod ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Social Network Analysis
Social network analysis (SNA) is the process of investigating social structures through the use of networks and graph theory. It characterizes networked structures in terms of ''nodes'' (individual actors, people, or things within the network) and the ''ties'', ''edges'', or ''links'' (relationships or interactions) that connect them. Examples of social structures commonly visualized through social network analysis include social media networks, memes spread, information circulation, friendship and acquaintance networks, business networks, knowledge networks, difficult working relationships, social networks, collaboration graphs, kinship, disease transmission, and sexual relationships. These networks are often visualized through ''sociograms'' in which nodes are represented as points and ties are represented as lines. These visualizations provide a means of qualitatively assessing networks by varying the visual representation of their nodes and edges to reflect attributes of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Data Analysis
In applied mathematics, topological based data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information from datasets that are high-dimensional, incomplete and noisy is generally challenging. TDA provides a general framework to analyze such data in a manner that is insensitive to the particular metric chosen and provides dimensionality reduction and robustness to noise. Beyond this, it inherits functoriality, a fundamental concept of modern mathematics, from its topological nature, which allows it to adapt to new mathematical tools. The initial motivation is to study the shape of data. TDA has combined algebraic topology and other tools from pure mathematics to allow mathematically rigorous study of "shape". The main tool is persistent homology, an adaptation of homology to point cloud data. Persistent homology has been applied to many types of data across many fields. Moreover, its mathematical foundation is also of theore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Granular Material
A granular material is a conglomeration of discrete solid, macroscopic particles characterized by a loss of energy whenever the particles interact (the most common example would be friction when grains collide). The constituents that compose granular material are large enough such that they are not subject to thermal motion fluctuations. Thus, the lower size limit for grains in granular material is about 1 μm. On the upper size limit, the physics of granular materials may be applied to ice floes where the individual grains are icebergs and to asteroid belts of the Solar System with individual grains being asteroids. Some examples of granular materials are snow, nuts, coal, sand, rice, coffee, corn flakes, fertilizer, and bearing balls. Research into granular materials is thus directly applicable and goes back at least to Charles-Augustin de Coulomb, whose law of friction was originally stated for granular materials. Granular materials are commercially important in applicat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multidimensional Network
In network theory, multidimensional networks, a special type of ''multilayer network'', are networks with multiple kinds of relations. Increasingly sophisticated attempts to model real-world systems as multidimensional networks have yielded valuable insight in the fields of social network analysis, economics, urban and international transport, ecology, psychology, medicine, biology, commerce, climatology, physics, computational neuroscience, operations management, and finance. Terminology The rapid exploration of complex networks in recent years has been dogged by a lack of standardized naming conventions, as various groups use overlapping and contradictory terminology to describe specific network configurations (e.g., multiplex, multilayer, multilevel, multidimensional, multirelational, interconnected). Formally, multidimensional networks are edge-labeled multigraphs. The term "fully multidimensional" has also been used to refer to a multipartite edge-labeled multigraph. Multidim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
North Dakota State University
North Dakota State University (NDSU, formally North Dakota State University of Agriculture and Applied Sciences) is a public land-grant research university in Fargo, North Dakota. It was founded as North Dakota Agricultural College in 1890 as the state's land-grant university. As of 2021, NDSU offers 94 undergraduate majors, 146 undergraduate degree programs, 5 undergraduate certificate programs, 84 undergraduate minors, 87 master's degree programs, 51 doctoral degree programs of study, and 210 graduate certificate programs. NDSU is part of the North Dakota University System. The university also operates North Dakota's agricultural research extension centers distributed across the state on 18,488 acres (75 km2). In 2015, NDSU's economic impact on the state and region was estimated to be $1.3 billion a year according to the NDUS Systemwide Economic Study by the School of Economics at North Dakota State University. In 2016, it was also the fifth-largest employer in the state ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Institute, University Of Oxford
The Mathematical Institute is the mathematics department at the University of Oxford in England. It is one of the nine departments of the university's Mathematical, Physical and Life Sciences Division. The institute includes both pure and applied mathematics (Statistics is a separate department) and is one of the largest mathematics departments in the United Kingdom with about 200 academic staff. It was ranked (in a joint submission with Statistics) as the top mathematics department in the UK in the 2021 Research Excellence Framework. Research at the Mathematical Institute covers all branches of mathematical sciences ranging from, for example, algebra, number theory, and geometry to the application of mathematics to a wide range of fields including industry, finance, networks, and the brain. It has more than 850 undergraduates and 550 doctoral or masters students. The institute inhabits a purpose-built building between Somerville College and Green Templeton College on Woodstoc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
