Louis Narens (died October 5, 2022) was the Graduate Director of Mathematical Behavioral Science, Professor in the Department of Cognitive Sciences and the Department of Logic and the Philosophy of Science at the University of California, Irvine. [1]
He was one of the major exponents of measurement theory in mathematical psychology.
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory, algebra, geometry, analysis, and set theory.
Psychometrics is a field of study within psychology concerned with the theory and technique of measurement. Psychometrics generally covers specialized fields within psychology and education devoted to testing, measurement, assessment, and related activities. Psychometrics is concerned with the objective measurement of latent constructs that cannot be directly observed. Examples of latent constructs include intelligence, introversion, mental disorders, and educational achievement. The levels of individuals on nonobservable latent variables are inferred through mathematical modeling based on what is observed from individuals' responses to items on tests and scales.
In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. Equality between A and B is written A = B, and pronounced "A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side (RHS). Two objects that are not equal are said to be distinct.
In physics, an observable is a physical property or physical quantity that can be measured. In classical mechanics, an observable is a real-valued "function" on the set of all possible system states, e.g., position and momentum. In quantum mechanics, an observable is an operator, or gauge, where the property of the quantum state can be determined by some sequence of operations. For example, these operations might involve submitting the system to various electromagnetic fields and eventually reading a value.
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables. Psychologist Stanley Smith Stevens developed the best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement originated in psychology and has since had a complex history, being adopted and extended in some disciplines and by some scholars, and criticized or rejected by others. Other classifications include those by Mosteller and Tukey, and by Chrisman.
Robert Duncan Luce was an American mathematician and social scientist, and one of the most preeminent figures in the field of mathematical psychology. At the end of his life, he held the position of Distinguished Research Professor of Cognitive Science at the University of California, Irvine.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
Victor Gershevich (Grigorievich) Kac is a Soviet and American mathematician at MIT, known for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris Weisfeiler.
Peter Gavin Hall was an Australian researcher in probability theory and mathematical statistics. The American Statistical Association described him as one of the most influential and prolific theoretical statisticians in the history of the field. The School of Mathematics and Statistics Building at The University of Melbourne was renamed the Peter Hall building in his honour on 9 December 2016.
Avner Friedman is Distinguished Professor of Mathematics and Physical Sciences at Ohio State University. His primary field of research is partial differential equations, with interests in stochastic processes, mathematical modeling, free boundary problems, and control theory.
Chien-Fu Jeff Wu is a Taiwanese-American statistician. He is the Coca-Cola Chair in Engineering Statistics and Professor in the H. Milton Stewart School of Industrial and Systems Engineering at the Georgia Institute of Technology. He is known for his work on the convergence of the EM algorithm, resampling methods such as the bootstrap and jackknife, and industrial statistics, including design of experiments, and robust parameter design.
Math in Moscow (MiM) is a one-semester study abroad program for North American and European undergraduates held at the Independent University of Moscow (IUM) in Moscow, Russia. The program consists mainly of math courses that are taught in English. The program was first offered in 2001, and since 2008 has been run jointly by the Independent University of Moscow, Moscow Center for Continuous Mathematical Education, and the Higher School of Economics (HSE).
Howard Charles Wainer is an American statistician, past principal research scientist at the Educational Testing Service, adjunct professor of statistics at the Wharton School of the University of Pennsylvania, and author, known for his contributions in the fields of statistics, psychometrics, and statistical graphics.
Lawrence David Guth is a professor of mathematics at the Massachusetts Institute of Technology.
Sergei Nikolaevich Artemov is a Russian-American researcher in logic and its applications. He currently holds the title of Distinguished Professor at the Graduate Center of the City University of New York where he is the founder and head of its research laboratory for logic and computation. His research interests include proof theory and logic in computer science, optimal control and hybrid systems, automated deduction and verification, epistemology, and epistemic game theory. He is best known for his invention of logics of proofs and justifications.
Rogemar Sombong Mamon, is a Canadian mathematician, quant, and academic. He is a co-editor of the IMA Journal of Management Mathematics published by Oxford University Press since 2009.
James Tarlton Townsend is a Distinguished Rudy Professor of Psychology at Indiana University, Bloomington. He is known for his work in mathematical psychology, particularly in distinguishing parallel and serial processing and for models of perception.
Guoliang Yu is a Chinese American mathematician. After receiving his Ph.D from SUNY at Stony Brook in 1991 under the direction of Ronald G. Douglas, Yu spent time at the Mathematical Sciences Research Institute (1991–1992), the University of Colorado at Boulder (1992–2000), Vanderbilt University (2000–2012), and a variety of visiting positions. He currently holds the Powell Chair in Mathematics and was appointed University Distinguished Professor in 2018 at Texas A&M University. He is a fellow of the American Mathematical Society.
Elchanan Mossel is a professor of mathematics at the Massachusetts Institute of Technology. His primary research fields are probability theory, combinatorics, and statistical inference.
Igor Dmitrievich Chueshov was a Ukrainian mathematician. He was both a correspondent member of the Mathematics section of the National Academy of Sciences of Ukraine and a professor in the Department of Mathematical Physics and Computational Mathematics at the National University of Kharkiv.