Hollow Dogū refers to a type of ancient Japanese pottery figure associated with the Jomon period, which dates from around 14,000 to 300 BCE. These figures, known as "dogū," are characterized by their hollow interior and often represent human or animal forms. They are typically made of clay and can be elaborately decorated with intricate patterns and designs.
A stick shabti, also known as a stick figure shabti, is a type of shabti figurine from ancient Egypt. Shabtis were small statuettes placed in tombs to serve as servants for the deceased in the afterlife, performing tasks on behalf of the individual. Typically, shabtis were crafted in the shape of a human figure, often in a position that indicated activeness, such as holding agricultural tools.
Teraphim are ancient household gods or family idols mentioned in various biblical texts, particularly in the Hebrew Bible. They are often associated with the practice of divination and were believed to offer guidance or protection to the household. The teraphim are typically described as small figurines or statuettes and are thought to be used in private worship or for receiving blessings.
"The Invisible Man" is a 1984 science fiction film directed by Paul Verhoeven that is loosely based on H.G. Wells' classic novel of the same name. This adaptation features a modern take on the story of a scientist who discovers a way to become invisible, but the process has dangerous and often horrific consequences. The film stars actor Griffin Dunne as the protagonist, who becomes increasingly unhinged after he undergoes the invisibility experiment.
The European Finance Association (EFA) is a professional organization focused on the advancement of the field of finance in Europe. Established in 1978, the EFA serves as a platform for academics, practitioners, and students to connect and collaborate on research, education, and practice in finance. Key activities and objectives of the EFA include: 1. **Academic Research**: The EFA promotes the dissemination of finance research by organizing conferences, workshops, and seminars where researchers can present their work.
Mesogens are a type of molecule that play a crucial role in the field of liquid crystals. Specifically, they are the mesogenic units that possess elongated shapes and are responsible for the liquid crystalline properties of materials. These molecules can orient themselves in a way that allows them to exhibit both liquid and solid characteristics, depending on temperature and other conditions. Generally, mesogens contain a rigid core, often composed of aromatic rings, along with flexible alkyl chains.
The International Congress on Industrial and Applied Mathematics (ICIAM) is a major international conference aimed at promoting the advancement and dissemination of knowledge in the field of industrial and applied mathematics. Organized every four years, ICIAM serves as a platform for mathematicians, researchers, and practitioners from various sectors to discuss the latest developments, share research findings, and explore innovative applications of mathematics in industry and real-world problems.
An **algebraic function field** is a type of mathematical structure that serves as a generalization of both algebraic number fields and function fields over finite fields.
The Function Field Sieve (FFS) is an algorithm used for factoring large integers, particularly those that are difficult to factor with classical methods. It extends the ideas of the number field sieve (NFS), which is currently one of the most efficient known methods for factoring large composite numbers, especially those with large prime factors.
In mathematics, specifically in algebra, a "ground field" (often simply referred to as a "field") is a basic field that serves as the foundational set of scalars for vector spaces and algebraic structures.
The term "higher local field" typically refers to specific types of fields in algebraic number theory, particularly in relation to local fields and their extensions. In this context, local fields are complete fields with respect to a discrete valuation, which often arise in number theory. Common examples include the field of p-adic numbers and complete extensions of the rational numbers.
Nagata's conjecture is a statement in the field of algebraic geometry, particularly concerning algebraic varieties in projective space. Specifically, it pertains to the relationships between the dimensions of varieties and the degrees of their defining equations.
P-adic numbers are a system of numbers used in number theory that extend the classical notion of integers and rationals to include a different form of "closeness" or convergence. The term "p-adic" refers to a prime number \( p \), and the concept is based on an alternative metric or valuation defined by \( p \).
In the context of differential geometry and algebraic geometry, a **P-basis** typically refers to a basis for a vector space that is relevant to a particular property or structure denoted by "P." The term can have different meanings depending on the specific field or application; for instance: 1. **In Linear Algebra**: A P-basis could refer to a basis of a module or vector space that fulfills certain properties defined by "P.
A pseudo-finite field is a structure that has properties resembling those of finite fields but is not actually finite itself. Specifically, it is an infinite field that behaves like a finite field in various algebraic respects.
The term "Pythagorean number" commonly refers to the values (typically integers) that can be the lengths of the sides of a right triangle when following the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
A **quadratically closed field** is a type of field in which every non-constant polynomial of degree two has a root.