A **dually chordal graph** is a type of graph that has specific structural properties related to both its vertices and cycles. The term "dually chordal" arises in the context of vertex or edge properties. 1. **Chordal Graph**: - A graph is called **chordal** if every cycle of length four or more has a chord. A chord is an edge that is not part of the cycle but connects two vertices of the cycle.

In graph theory, a modular graph is a concept related to the idea of module or modularity in the context of substructures of a graph. The term "modular graph" can sometimes be used in discussions of modular decomposition, which is a technique for breaking down a graph into simpler components based on the concept of modules.

A **multipartite graph** is a specific type of graph used in graph theory, where the vertex set can be divided into multiple distinct subsets such that no two vertices within the same subset are adjacent. In other words, the edges of the graph only connect vertices from different subsets.

Gabriel Andrew Dirac does not seem to be a widely recognized public figure, concept, or term as of my last knowledge update in October 2023. It's possible that he may be a private individual or a more recent figure who has gained prominence after that date.

Giovanni Frattini may refer to a person, but there isn't a widely known figure by that name in public domains such as politics, arts, or sciences that stands out as of my last update in October 2023. It’s possible that he is a lesser-known individual or a private citizen. If you have more context, such as a specific field (e.g., sports, academia, etc.

Évariste Galois (1811–1832) was a French mathematician who made significant contributions to the field of abstract algebra. He is best known for developing what is now called Galois theory, which connects field theory and group theory in a profound way, providing a systematic way to study polynomial equations and their solutions. Galois's work primarily focused on understanding the solvability of polynomial equations in terms of group theory.

Fourier Transform Infrared Spectroscopy (FTIR) is a powerful analytical technique widely used in geology for various applications. Here are some of the primary applications of FTIR in geological studies: 1. **Mineral Identification**: FTIR is extensively used to identify and characterize minerals through their specific absorption bands. Different minerals exhibit unique spectral signatures, allowing for precise identification. 2. **Clay Mineral Analysis**: FTIR is particularly useful in the study of clay minerals, which have complex structures.

Libration in the context of molecular chemistry refers to a type of molecular motion, often associated with the oscillatory behavior of atoms or groups within a molecule. This motion usually involves small oscillations around an equilibrium position rather than large-scale rotations or translations. In many cases, libration is observed in large or complex organic molecules, especially those with flexible structures, where certain parts of the molecule can move relative to one another.

A Mersenne prime is a specific type of prime number that can be expressed in the form \(M_n = 2^n - 1\), where \(n\) is a positive integer. In other words, if \(M_n\) is prime, then \(n\) itself must also be prime.

The Schröder numbers are a sequence of numbers in combinatorial mathematics that count certain types of lattice paths or combinatorial structures. Specifically, they can be used to count the number of ways to connect points in a grid using non-crossing paths that adhere to specific restrictions.

The number 1001 is an integer that follows 1000 and precedes 1002. It is often recognized for its mathematical properties and cultural references. For instance: 1. **Mathematical Properties**: - It is an odd number. - It is a composite number, as it can be divided by numbers other than 1 and itself. Specifically, 1001 can be factored into prime numbers as \(7 \times 11 \times 13\).

The number 14 is an integer that follows 13 and precedes 15. It is an even number and is the result of multiplying 7 by 2 (7 × 2 = 14). In terms of numeric properties, 14 is: - A composite number, as it has divisors other than 1 and itself (1, 2, 7, and 14).

60,000 is a number that can represent various things depending on the context. It can indicate a quantity, such as 60,000 dollars, units, or population. If you have a specific context in mind (like finance, demographics, etc.

Hardbass is a subgenre of electronic dance music that originated in the late 1990s and early 2000s, primarily in Eastern Europe, particularly in Russia. It is characterized by its fast tempo, typically ranging from 140 to 160 BPM, heavy bass lines, and synthesized sounds. Hardbass often features catchy melodies and repetitive hooks, making it suitable for dancing at clubs and raves.

Virtual avatars are digital representations of users in virtual environments, online games, or social media platforms. They can take various forms, ranging from simple 2D icons to complex 3D models. Here are some key aspects of virtual avatars: 1. **Customization**: Users can often customize their avatars to represent their personal identity, preferences, or creativity. This can include adjusting physical features, clothing, accessories, and even animations.

Nightcore is a music genre and subculture that involves taking songs, primarily in the electronic, pop, or rock genres, and speeding up their tempo while also increasing their pitch. This process often gives the songs a more upbeat and energetic sound, as well as a distinctively high-pitched vocal quality. The term "Nightcore" originated from a duo of Norwegian producers, who created remixes of various songs in this style.

"PogChamp" is an emote and expression that originated from the livestreaming platform Twitch. It features a face of a man, Ryan "Gootecks" Gutierrez, making an excited expression, which is typically used to convey surprise, excitement, or enthusiasm in response to something impressive or hype happening during a stream. The emote became widely popular among gamers and the Twitch community, often used in chat to react to jaw-dropping moments in gameplay or other entertaining events.

Internet Explorer add-ons are software components that enhance the functionality of the Internet Explorer web browser. They allow users to customize their browsing experience by adding new features, tools, or services. These add-ons can include a variety of types, such as: 1. **Toolbars**: These add extra buttons, menus, and features that can help with tasks such as searching the web or accessing frequently visited sites.

Domain tasting refers to the practice of registering a domain name for a short period (typically around five days) to evaluate its potential value and traffic. During this period, the registrant can assess various metrics, such as search engine rankings, traffic levels, and overall market demand for the domain. The primary reason for domain tasting is to identify valuable domain names that can be later sold for a profit or developed into websites.

The World Internet Conference (WIC) is an annual event held in China that focuses on discussing the development and governance of the internet. The conference was first convened in 2014 and is organized by the Cyberspace Administration of China. It brings together leaders from government, business, academia, and civil society to share insights, exchange ideas, and address global internet-related issues.