In large deviations theory, the Contraction Principle is a fundamental result that provides insights into the asymptotic behavior of probability measures associated with stochastic processes. Large deviations theory focuses on understanding the probabilities of rare events and how these probabilities behave in limit scenarios, particularly when considering independent and identically distributed (i.i.d.) random variables or other stochastic systems.

Big O notation is a mathematical concept used to describe the performance or complexity of an algorithm in terms of time or space requirements as the input size grows. It provides a high-level understanding of how the runtime or space requirements of an algorithm scale with increasing input sizes, allowing for a general comparison between different algorithms. In Big O notation, we express the upper bound of an algorithm's growth rate, ignoring constant factors and lower-order terms.

www.youtube.com/playlist?list=PLVV0r6CmEsFw1phnddYWXtVkRW8eUVlqx Edward Teller interview by Web of Stories (1996) Date shown at: www.webofstories.com/play/edward.teller/1. Listener: John H. Nuckolls

Ferranti MRT is a type of digital signal processing system primarily used for the measurement and analysis of electrical signals and parameters. It is particularly popular in the field of power quality assessment, research, and various types of electrical testing. The MRT stands for "Multi-Range Transducer," indicating its capability to handle and analyze a range of electrical measurements, allowing for detailed characterization of power systems.

Asymptotic homogenization is a mathematical technique used to analyze heterogeneous media – that is, materials with varying properties at different scales. This approach is particularly useful in the study of partial differential equations (PDEs) that describe phenomena in materials with complex microstructures. The primary objective of asymptotic homogenization is to derive effective (or homogenized) equations that can describe the macroscopic behavior of such materials by averaging out the microscopic variations.

In this section we list charitable organizations that support education or research:

One of the causes Ciro Santilli care the most about: motivation.

Ciro Santilli's view of the ideal teaching method: how to teach.

A list of complaints against education: Section "Education is broken".

How to improve education? Simple:

Activation energy asymptotics often refers to the mathematical and physical considerations of how activation energy affects the rates of chemical reactions, particularly in systems where the processes can be analyzed asymptotically. In chemistry and physics, activation energy is the minimum energy that reactants must have for a reaction to take place.

Tauberian theorems are a set of results in mathematical analysis, particularly in the field of summability and asymptotic analysis. They provide conditions under which certain types of series or transforms can be inferred from the behavior of their generating functions or sequences. The general idea is to connect the asymptotic behavior of a sequence or a series with conditions imposed on its transform, such as the Laplace transform or the Dirichlet series.

The magnetic quantum number, often denoted as \( m_l \), is one of the four quantum numbers used to describe the unique quantum state of an electron in an atom. It primarily relates to the orientation of the orbital that an electron occupies in a magnetic field.

Rainbow gravity is a theoretical framework in the field of quantum gravity that suggests the structure of spacetime may depend on the energy of the observer, leading to a "rainbow" of different gravitational effects based on the energy levels of particles. This theory is primarily explored in the context of various models that seek to unify general relativity and quantum mechanics. The fundamental idea is that the laws of physics, particularly those related to gravity, could vary depending on the energy at which an observer measures them.

plutonium-based.

Its plutonium was produced at Hanford site.

Schilder's theorem is a fundamental result in probability theory, particularly in the area of large deviations. It provides an asymptotic estimate for the probabilities of large deviations for sequences of random variables. Specifically, it deals with the behavior of the empirical measures of random walks. More formally, Schilder's theorem states that for a sequence of independent and identically distributed random variables, the probability that the empirical measure deviates significantly from its expected value decays exponentially as the number of samples increases.

The Papaloizou–Pringle instability is a type of instability that occurs in rotating disks of gas and is particularly relevant to astrophysical contexts, such as accretion disks around black holes and other compact objects. The instability is named after the astrophysicists Alex Papaloizou and John Pringle, who described it in the context of astrophysical disks in the 1980s.

The main ones as of 2020 are: