A non-bonding orbital is an atomic or molecular orbital that does not participate in the bonding between atoms in a molecule. In molecular orbital theory, when atomic orbitals combine, they can form bonding orbitals, antibonding orbitals, and non-bonding orbitals: 1. **Bonding Orbitals**: These orbitals are lower in energy than the contributing atomic orbitals, and they promote stability by allowing electron density to be concentrated between the nuclei of the bonded atoms.

A complete intersection is a concept from algebraic geometry that refers to a type of geometric object defined by the intersection of multiple subvarieties in a projective or affine space. Specifically, a variety \( X \) is called a complete intersection if it can be defined as the common zero set of a certain number of homogeneous or non-homogeneous polynomial equations, and if the number of equations is equal to the codimension of the variety.

In the context of ring theory, an irreducible ring is typically referred to as a ring that cannot be factored into "simpler" rings in a specific way.

In commutative algebra, a **local ring** is a ring that has a unique maximal ideal. A **unibranch local ring** is a specific type of local ring characterized by the properties of its completion and its ramification properties. More formally, a local ring \( (R, \mathfrak{m}) \) is called a **unibranch local ring** if its closure in its completion is a domain that is unibranch.

The Stone–Čech compactification is a mathematical concept in topology that extends a topological space to a compact space in a way that retains certain properties of the original space. It is named after mathematicians Marshall Stone and Eduard Čech. ### Definition Let \( X \) be a completely regular topological space.

The Center for Data-Driven Discovery (CD3) is typically associated with research and technological advancements that leverage data analytics and artificial intelligence to enhance scientific discovery and innovation. This center may focus on various fields, including life sciences, health care, social sciences, and environmental studies, among others. The mission of such centers often involves: 1. **Interdisciplinary Collaboration**: Bringing together researchers from different fields to collaborate on data-intensive research projects.

CK Raut, a prominent figure in Nepal, is primarily known as a politician and a proponent of the idea of "Tharuhat," which advocates for the rights and autonomy of the Tharu ethnic group in Nepal. He has also been involved in social activism and has made significant contributions to discussions on ethnic identity and political representation in the country.

"Analitik" can refer to several concepts depending on the context, but it is commonly associated with the following areas: 1. **Analytics**: In a broad sense, "analitik" may refer to the field of analytics, which involves the systematic computational analysis of data. This encompasses various forms of data analysis, including business analytics, data analytics, and statistical analytics, aimed at gaining insights and informing decision-making processes.

Photon is an arcade cabinet that was notable for blending traditional arcade gaming with light-based gameplay mechanics. It was developed by the American company Photon, Inc. in the 1980s and is particularly recognized for its use of laser technology. The key features of Photon arcade cabinets include: 1. **Laser Tag Gameplay**: Photon was one of the first arcade games to implement laser tag elements, where players could engage in team-based, tactical gameplay using laser weaponry.

Henri Bénard was a French physicist best known for his work in the field of fluid dynamics. He is particularly famous for describing what is now known as Bénard cells, a phenomenon that occurs in fluid convection. When a liquid is heated from below, it can create a pattern of circulating cells as it transitions from a stable state to a convective state.

As of my last knowledge update in October 2023, "Conrad Models" could refer to various things depending on the context, as there are several companies and brands with "Conrad" in their name that focus on modeling, hobby kits, or simulation. One prominent example is Conrad Electronic, a company that offers a wide range of electronics components and model kits.

"Discoveries" by Gustavo Muler is not a widely recognized work up to my knowledge cutoff in October 2023. It's possible that it could be a new release or an independent project that hasn't gained mainstream attention. If you could provide more context or details about the work, I would be glad to help you with information related to its themes, content, or the author.

Kapla is a type of construction toy made of wooden planks that are uniform in size and shape. These planks are traditionally made of pine and are designed for stacking and building. The idea behind Kapla is to encourage creativity, spatial awareness, and fine motor skills as users can create a wide variety of structures purely through balance and gravity without the need for glue or connectors.

The Axiom Schema of Predicative Separation is a principle in certain foundations of mathematics, particularly in systems that adopt a predicative approach to set theory, like the predicative versions of constructive set theories or in the area of predicative mathematics. In general, the Axiom Schema of Separation is an axiom that allows for the construction of subsets from given sets based on a property defined by a formula.

The simulation hypothesis is a philosophical proposition suggesting that what we perceive as reality might be an artificial simulation, such as a computer simulation. This idea posits that advanced civilizations, capable of creating highly sophisticated simulations, might run simulations of their ancestors or environments, making it possible that we are living in one of these simulated realities.

The term "steady state" is used in various fields such as physics, engineering, biology, economics, and more, and it generally refers to a condition in which variables within a system remain constant over time despite ongoing processes or changes in other conditions.

Witsenhausen's counterexample is a seminal problem in the field of control theory and information theory, specifically illustrating the challenges associated with decentralized control systems. It was introduced by Hans Witsenhausen in 1968. The counterexample involves a two-player scenario where each player must make decisions based on partial information, and their decisions are interdependent.

The Tesla coil, an electrical resonant transformer circuit, was invented by the Serbian-American inventor Nikola Tesla in 1891. Its development marked a significant breakthrough in electrical engineering and has since had lasting implications in various fields, including radio technology, wireless transmission, and even modern entertainment. ### Early Development 1. **Nikola Tesla (1856-1943)**: - Born in what is now Croatia, Tesla moved to the United States in 1884.

In cosmogony, "Chaos" refers to a primordial state of existence from which the universe and all things within it arise. This concept appears in various mythologies and philosophical systems, often representing a formless or void-like condition that precedes the creation of order and structure in the cosmos. In ancient Greek mythology, for example, Chaos is often depicted as a yawning void or a primal state of nothingness, from which the first deities and elements emerged.