Results 11 to 20 of about 30,886 (172)

Applications of Nonstandard Analysis in Probability and Measure Theory

, 2022
Irfan Alam, Irfan Alam
openaire   +3 more sources

Self-calibration technique for characterization of integrated THz waveguides

Physical Review Accelerators and Beams, 2021
Emerging high-frequency accelerator technology in the terahertz regime is promising for the development of compact high-brightness accelerators and high resolution–power beam diagnostics. One resounding challenge when scaling to higher frequencies and to
M. Kellermeier, F. Lemery, K. Floettmann, W. Hillert, R. Aßmann   +4 more
doaj   +1 more source

A Nonstandard Neutrosophic Model for Aesthetic Response in Interactive Device Decorative Art Design [PDF]

Neutrosophic Sets and Systems
This paper introduces a new mathematical model called the Nonstandard Neutrosophic Aesthetic Dynamics (NSNAD). It is built using nonstandard neutrosophic theory, which allows us to work with values that are greater than 1, less than 0, or undefined ...
Xing Wei
doaj   +1 more source

Phase Operator Problem and Macroscopic Extension of Quantum Mechanics [PDF]

, 1997
To find the Hermitian phase operatorof a single-mode electromagnetic field in quantum mechanics, the Schroedinger representation is extended to a larger Hilbert space augmented by states with infinite excitation by nonstandard analysis.
Abe, Albeverio, Barnett, Barnett, Bergou, Blanchard, Bratteli, Carruthers, Davies, Dirac, Farrukh, Fenstad, Fittler, Fittler, Francis, Glauber, Hall, Helstrom, Helstrom, Holevo, Hurd, Kambe, Kelemen, Kelemen, Masanao Ozawa, Moore, Nakamura, Ozawa, Ozawa, Ozawa, Pegg, Pegg, Robinson, Shapiro, Susskind, Takeuti, Tarski, Thurber, von Neumann   +38 more
core   +1 more source

Novel Generalized Distance Measure of Pythagorean Fuzzy Sets and a Compromise Approach for Multiple Criteria Decision Analysis Under Uncertainty

IEEE Access, 2019
This paper aims at developing a novel generalized distance measure of Pythagorean fuzzy (PF) sets and constructing a distance-based compromise approach for multiple criteria decision analysis (MCDA) within PF environments.
Ting-Yu Chen
doaj   +1 more source

On a sumset conjecture of Erd\H{o}s [PDF]

, 2014
Erd\H{o}s conjectured that for any set $A\subseteq \mathbb{N}$ with positive lower asymptotic density, there are infinite sets $B,C\subseteq \mathbb{N}$ such that $B+C\subseteq A$.
Di Nasso, Mauro, Goldbring, Isaac, Jin, Renling, Leth, Steven, Lupini, Martino, Mahlburg, Karl   +5 more
core   +4 more sources

A matrix perturbation view of the small world phenomenon [PDF]

, 2003
We use techniques from applied matrix analysis to study small world cutoff in a Markov chain. Our model consists of a periodic random walk plus uniform jumps.
Berg Howard, Desmond J. Higham, Higham Nicholas, Norris J.   +3 more
core   +2 more sources

Notes on compact nilspaces

Discrete Analysis, 2017
Notes on compact nilspaces, Discrete Analysis 2017:16, 57 pp. This is the second paper in a two-part series. The first paper, [also published in this journal](http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ...
Pablo Candela
doaj   +1 more source

The Dirac delta function in two settings of Reverse Mathematics [PDF]

, 2011
The program of Reverse Mathematics (Simpson 2009) has provided us with the insight that most theorems of ordinary mathematics are either equivalent to one of a select few logical principles, or provable in a weak base theory.
Sanders, Sam, Yokoyama, Keita
core   +2 more sources

Notes on nilspaces: algebraic aspects

Discrete Analysis, 2017
Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
doaj   +1 more source