Artaria generally refers to a fictional region or area found in various media, particularly in video games. It is most commonly associated with the popular "Metroid" series developed by Nintendo. In "Metroid Dread," which is the most recent installment of the series, Artaria is one of the locations players explore, featuring a rich landscape filled with enemies, puzzles, and secrets.

"Ars Conjectandi," which translates to "The Art of Conjecturing," is a seminal work in the field of probability theory written by the Swiss mathematician Jakob Bernoulli. It was published posthumously in 1713, a year after Bernoulli's death. The book is regarded as one of the foundational texts of probability theory and introduced important concepts, including the law of large numbers.

A linear map is a function $f:V_1(F)\to V_2(F)$ where $V_1(F)$ and $V_2(F)$ are two vector spaces over underlying fields $F$ such that:

A common case is $F=\mathbb{R}$, $V_1={\mathbb{R}}_m$ and $V_2={\mathbb{R}}_n$.

One thing that makes such functions particularly simple is that they can be fully specified by specifyin how they act on all possible combinations of input basis vectors: they are therefore specified by only a finite number of elements of $F$.

Every linear map in finite dimension can be represented by a matrix, the points of the domain being represented as vectors.

As such, when we say "linear map", we can think of a generalization of matrix multiplication that makes sense in infinite dimensional spaces like Hilbert spaces, since calling such infinite dimensional maps "matrices" is stretching it a bit, since we would need to specify infinitely many rows and columns.

The prototypical building block of infinite dimensional linear map is the derivative. In that case, the vectors being operated upon are functions, which cannot therefore be specified by a finite number of parameters, e.g.

For example, the left side of the time-independent Schrödinger equation is a linear map. And the time-independent Schrödinger equation can be seen as a eigenvalue problem.

Arnaldo Ferrari Nasi is not widely recognized in major publicly available sources up to October 2023, and there may be limited or no information about him. If he is a figure related to a specific field, profession, or region, additional context would be helpful to provide relevant details.

The term "Alpha case" may refer to different concepts depending on the context. However, it's not universally recognized as a specific term across all fields. Here are a few interpretations based on various contexts: 1. **Business and Economics**: In finance, an "alpha" generally refers to the measure of an investment's performance relative to a benchmark.

Arthur Henry White is notable in the field of history and academia for his contributions, particularly in the realm of historical writings or studies. However, it's worth noting that the name is shared by various individuals, and there may be different people with that name who have made contributions in diverse fields.

The arithmetic genus is an important concept in algebraic geometry, particularly in the study of algebraic varieties and schemes. It is a topological invariant that provides information about the geometric properties of a variety.

Argus is a programming language designed for constructing distributed and concurrent systems. It was developed in the 1980s as part of research into programming models for distributed computing. Argus aimed to provide a framework for building systems where components can operate independently and asynchronously while synchronizing when necessary. Key features of Argus include: 1. **Distributed Programming**: Argus is designed to support the development of applications that run on multiple machines in a network.

Argos is a satellite-based system designed for data collection and environmental monitoring. Launched in 1978, it was developed by the French space agency CNES (Centre National d'Études Spatiales) in collaboration with NASA and several other space agencies. The primary purpose of Argos is to gather real-time data from remote locations, which is particularly useful for wildlife tracking, oceanographic studies, climate monitoring, and disaster management.

Argon–argon dating (often abbreviated as Ar-Ar dating) is a radiometric dating method used to determine the age of rock and mineral samples, primarily within the context of geological and archaeological studies. It is particularly useful for dating volcanic rocks and ash layers. The technique is based on the decay of potassium-40 (K-40) to argon-40 (Ar-40). Potassium-40 is a radioactive isotope that decays over time into argon gas.

"Arete" is an Ancient Greek term that translates roughly to "excellence" or "virtue." In the context of Greek philosophy, particularly in the works of Plato and Aristotle, arete refers to the quality of excellence of character and intellect that allows individuals to fulfill their purpose and potential. It encompasses qualities such as bravery, wisdom, and justice, and is often associated with living a life of moral integrity and achieving one's highest capabilities.

Area is a measure of the amount of space contained within a two-dimensional shape or surface. It is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), and so on. The area can be calculated for various geometric shapes using specific formulas. Here are some common formulas for calculating the area of different shapes: 1. **Rectangle**: Area = length × width (A = l × w) 2.

The Arctic Research Office is a part of the U.S. government that focuses on coordinating and supporting Arctic research efforts. It is typically associated with the National Science Foundation (NSF) and works to enhance the understanding of the Arctic environment, ecosystems, and communities, as well as the impacts of climate change in the region. The office plays a critical role in fostering collaboration among researchers, stakeholders, and indigenous communities, and often facilitates the development of research initiatives that address pressing issues related to the Arctic.

Archibald Campbell, 1st Baron Blythswood (1852–1937), was a Scottish politician and businessman known for his contributions to the cotton industry in the 19th and early 20th centuries. He was a prominent figure in the textile and manufacturing sectors and was involved in various public and charitable activities. In 1911, he was elevated to the peerage as Baron Blythswood, a title that reflects his wealth and influence during that era.

Archaeological illustration is a specialized field of graphic representation that plays a crucial role in archaeology. It involves creating accurate and detailed visual representations of archaeological artifacts, sites, features, and stratigraphy. These illustrations serve various purposes, including documentation, analysis, and communication of archaeological findings. Key aspects of archaeological illustration include: 1. **Technical Drawing**: Illustrators produce precise drawings of artifacts (such as pottery, tools, and structures) to document their size, shape, and decoration.

The Pumping Lemma for context-free languages is a property that all context-free languages (CFLs) must satisfy. It provides a way to prove that certain languages are not context-free by demonstrating that they do not conform to the lemma's conditions.

The number 206 can refer to several different contexts, depending on how it's being used. Here are a few possibilities: 1. **Mathematics**: It is simply an integer that comes after 205 and before 207. 2. **Area Code**: 206 is the area code for Seattle, Washington, in the United States.

The number 20 is a whole number that follows 19 and precedes 21. It is an even number and can be expressed in various mathematical forms, such as a multiple of 10 (2 x 10) or as a sum of integers (e.g., 10 + 10). In Roman numerals, 20 is represented as XX. It is also the base of the vigesimal numeral system, which uses 20 as its base.

Orpheus is a figure from ancient Greek mythology, renowned for his extraordinary musical talent. He is often depicted as a poet and musician whose enchanting music could charm animals, plants, and even inanimate objects. Orpheus is most famously associated with the myth of his journey to the Underworld to retrieve his beloved wife, Eurydice.

The 20th century saw significant contributions from Cuban mathematicians, many of whom were influential in various fields, including algebra, geometry, and applied mathematics. Some notable Cuban mathematicians from this period include: 1. **José C. Pérez** - Known for his work in mathematical analysis and functional analysis. 2. **César De la Fuente** - A prominent mathematician known for his contributions to the theory of differential equations and its applications.