The Conway criterion is a mathematical concept used to determine whether a set of integers can be represented as sums of quadratic residues. It is particularly relevant in number theory and has applications in problems related to quadratic forms and modular arithmetic.

The Free Will Theorem is a concept arising from the intersection of quantum physics and philosophy, formulated by physicists John Conway and Simon Kochen in 2006. The theorem explores the implications of quantum mechanics on the notion of free will and determinism.

As of my last update in October 2021, there is no widely recognized figure or subject specifically known as "Yuri Trushin." It's possible that he may be a private individual, a lesser-known person, or a figure who has gained prominence after that date. If you are referring to a specific context or field (like science, sports, art, etc.

An automaton clock is a type of mechanical clock that features moving figures or automata that perform actions at specific times, usually in conjunction with the clock's movement. These clocks are often designed with intricate craftsmanship and artistic elements, combining the mechanics of timekeeping with the entertainment of animated figures. Typically, automaton clocks might display scenes with characters that move, such as dancing figures, animals, or other mechanical tableaux, synchronized with the chimes of the clock.

"Echemeia" does not appear to refer to a widely recognized term or concept in English, science, literature, or other common fields. It might be a misspelling, a lesser-known term, a name, or a concept from a specific niche or discipline.

Physical knot theory is an interdisciplinary field that combines concepts from mathematics, physics, and biology to study the properties and behaviors of knots and links in various physical contexts. This area of research looks at how knots form, evolve, and interact in different physical systems, using tools from topology and applying them to real-world phenomena.

Fox n-coloring is a mathematical concept related to graph theory, specifically focusing on the study of graphs and their colorings. It is named after mathematician Jonathan Fox. In general, the Fox n-coloring of a graph assigns colors to the vertices of the graph such that certain conditions are met, allowing for the examination of various properties and structures within the graph.

Satellites orbiting Lagrange points refer to spacecraft that are positioned at or near one of the five specific points in a two-body system where the gravitational forces and the orbital motion of the bodies create a stable or semi-stable location for smaller objects. These points are known as Lagrange points, named after the French mathematician Joseph-Louis Lagrange.

Cramér's theorem is a fundamental result in the field of large deviations theory, which examines the asymptotic behavior of the probabilities of rare events. Specifically, Cramér's theorem provides a way to quantify the likelihood of deviations of a sum of independent random variables from its expected value. The theorem states that if we have a sequence of independent and identically distributed (i.i.d.

The extinction ratio is a key parameter in optical communication and photonics, particularly in the context of modulated optical signals. It refers to the ratio of the power of the light signal in the "on" state to the power in the "off" state.

Lasers can be categorized based on various criteria, including their medium of operation, the mechanism of light amplification, and their applications. Here are some of the main types of lasers: ### 1. **Based on Medium:** - **Solid-State Lasers**: These use a solid gain medium, often a crystal or glass doped with ions.

Frequency-resolved optical gating (FROG) is a technique used in the field of ultrafast optics to measure the temporal characteristics of short pulses of light, such as those generated by lasers. The primary goal of FROG is to retrieve both the intensity and phase information of a pulse's electric field as a function of time. The technique works by exploiting the nonlinear optical interaction between an incoming pulse and a gate pulse in a nonlinear medium.

Henry Holiday refers to an English painter, illustrator, and stained glass artist who lived from 1839 to 1927. He is best known for his illustrations of Lewis Carroll's "The Hunting of the Snark" and "The Adventures of Alice in Wonderland." Holiday's work is characterized by its detailed and whimsical style, which captures the imaginative essence of Carroll's stories.

An overhead crane, also known as a bridge crane, is a type of material handling equipment used to lift and move heavy loads horizontally and vertically within a facility. It consists of a hoist mechanism, a set of traveling wheels, and a bridge that spans the distance between two supporting structures, such as columns or walls.

Elementary divisors are related to the theory of modules over a principal ideal domain (PID) and form an important concept in the context of finitely generated abelian groups and linear algebra. They provide a way to describe the structure of a finitely generated module, allowing us to understand its decomposition into simpler components.

A **dissipative operator** is a concept from functional analysis, particularly in the context of partial differential equations and dynamical systems.

Discotic liquid crystals are a type of liquid crystal characterized by disc-shaped (or disc-like) molecules that can self-assemble into ordered structures, allowing for unique anisotropic properties. Unlike conventional liquid crystals, which are based on rod-shaped (or calamitic) molecules, discotic liquid crystals have a more planar geometry.

The term "tactoid" can refer to a few different concepts depending on the context, but it is primarily used in materials science and chemistry. In this context, a tactoid refers to a specific arrangement of materials within a composite or dispersed system, particularly in relation to colloidal structures or liquid crystals.

As of my last knowledge update in October 2021, the Georgetown Hoyas men's basketball program has had several notable statistical leaders throughout its history. Here are some of the categories and notable players in them: ### Points - **All-Time Leader:** Patrick Ewing - Other notable scorers include Alonzo Mourning and Dikembe Mutombo. ### Rebounds - **All-Time Leader:** Patrick Ewing - Other strong rebounders include Alonzo Mourning and Jeff Green.

The Michigan State Spartans men's basketball program has a rich history, and its statistical leaders include players who excel in various categories. Here are some of the notable statistical categories and leaders in Michigan State basketball history: ### Points - **Mateen Cleaves** is often recognized as one of the all-time leading scorers for the Spartans. ### Rebounds - **Kenny Goins** and **Graham Brown** have been notable for their rebounding prowess.