The Krivine–Stengle Positivstellensatz, often referred to in the context of real algebraic geometry, is a fundamental result that provides a connection between polynomial inequalities and the positivity of polynomials on semi-algebraic sets.

A Mordellic variety refers to a specific type of algebraic variety that has a rational point and whose set of rational points is a finitely generated abelian group. More formally, a variety \( V \) over a number field \( K \) is said to be a Mordellic variety if it satisfies the following conditions: 1. \( V \) has a rational point, which means there exists a point in \( V \) with coordinates in \( K \).

In algebraic geometry, the term "pseudo-canonical variety" often refers to a type of algebraic variety whose canonical class behaves in a particular way. While the term itself may not be universally defined in all texts, it is sometimes used in the context of the study of varieties with singularities, particularly in relation to the minimal model program (MMP) and the study of Fano varieties.

In algebraic geometry, a **quasi-projective variety** is a type of algebraic variety that can be viewed as an open subset of a projective variety.

Present value (PV) is a financial concept that refers to the current worth of a sum of money or stream of cash flows that will be received or paid in the future, discounted back to the present using a specific interest rate. The idea behind present value is that a dollar today is worth more than a dollar in the future due to the potential earning capacity of money, which is often referred to as the time value of money.

Overtone can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **Music**: In music, an overtone is a frequency that is higher than the fundamental frequency of a sound. When an instrument or voice produces a note, it vibrates at a fundamental frequency, but it also generates additional frequencies that are multiples of the fundamental (harmonics). These overtones contribute to the richness and timbre of the sound.

The term "line complex" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematics/Geometry**: In mathematical contexts, especially in geometry, a line complex may refer to a set of lines that share certain properties or configurations. It could involve a study of relationships between these lines, such as concurrency, parallelism, or specific intersections.

Net Positive Suction Head (NPSH) is an important hydrodynamic parameter in pump operation, particularly in ensuring that a pump operates efficiently and does not cavitate. It is a measure of the pressure available at the suction side of the pump compared to the vapor pressure of the liquid being pumped. NPSH is typically expressed in terms of head (usually in meters or feet).

COMOS is a software platform developed by Siemens that is used for integrated engineering, operations, and maintenance of industrial plants. The primary purpose of COMOS is to facilitate the management of data and processes throughout the entire lifecycle of a facility, from planning and design through to operation and decommissioning.

Hyperreal numbers are an extension of the real numbers that include infinitesimal and infinite quantities. They are used in non-standard analysis, a branch of mathematics that reformulates calculus and analysis using these quantities. The hyperreal number system is constructed by taking sequences of real numbers and using an equivalence relation to group them.

The Veronese surface is a well-known example in algebraic geometry, and it is often studied in relation to the projective geometry of higher-dimensional spaces. Specifically, it is defined as a two-dimensional algebraic surface that can be embedded in projective space. The Veronese surface can be constructed by considering the image of the projective plane under the Veronese embedding.

Alexander Anderson is a mathematician known primarily for his work in the field of combinatorial mathematics and is particularly notable for his contributions to the theory of algorithms and computational mathematics. He has published research on topics such as sorting algorithms and the analysis of data structures, and his work often explores the connections between mathematics and computer science.

Alexander Grothendieck (1928–2014) was a highly influential French mathematician, renowned for his groundbreaking work in algebraic geometry, homological algebra, and number theory. He is often considered one of the most important mathematicians of the 20th century. Grothendieck's contributions include the development of a new way of thinking about algebraic geometry through the use of schemes, a concept that generalized classical algebraic varieties.

In algebraic geometry, a **quintic threefold** is a specific type of projective variety. More precisely, it is a three-dimensional algebraic variety defined as a zero set of a homogeneous polynomial of degree 5 in the projective space \(\mathbb{P}^4\).

The Seshadri constant is an important concept in algebraic geometry, particularly in the study of ample line bundles on projective varieties. It measures the "local positivity" of an ample line bundle.

Algebraic geometers are mathematicians who specialize in the field of algebraic geometry, a branch of mathematics that studies the properties and relationships of geometric objects defined by polynomial equations. Algebraic geometry combines techniques from abstract algebra, particularly commutative algebra, with geometric concepts. Algebraic geometry focuses on the solutions of systems of polynomial equations and examines the geometric structures (often called algebraic varieties) that arise from these solutions.

Alexei Kostrikin is a notable figure in the field of mathematics, particularly known for his contributions to algebra and mathematical logic. He is a Russian mathematician who has made significant advancements in the understanding of algebraic structures and their properties. Kostrikin is associated with various mathematical institutions and has published numerous works in his area of expertise.

The Cardy formula is a key result in statistical mechanics and conformal field theory (CFT) that relates the entropy of a quantum system to the area of its boundary, particularly in the context of black hole thermodynamics and 2-dimensional conformal field theories. It provides a way to calculate the entropy of a system using the scaling dimensions of its primary fields.

Andrei Roiter is a Russian-born artist known for his work in painting, drawing, and conceptual art. He is recognized for his unique blend of styles and techniques, often incorporating elements of surrealism, abstraction, and symbolic imagery. Roiter's art typically explores themes such as identity, memory, and the human experience. He has exhibited his work in various galleries and art institutions worldwide.