The **CRC Concise Encyclopedia of Mathematics** is a comprehensive reference work that provides clear and concise explanations of a wide range of mathematical concepts, theories, and terms. Edited by Christopher Thomas A. Brown, the encyclopedia covers topics from various branches of mathematics, including algebra, analysis, geometry, topology, and applied mathematics.

This is the discrete logarithm problem where the group is a cyclic group.

In this case, the problem becomes equivalent to reversing modular exponentiation.

This computational problem forms the basis for Diffie-Hellman key exchange, because modular exponentiation can be efficiently computed, but no known way exists to efficiently compute the reverse function.

The "Encyclopedia of Mathematics" is a comprehensive reference work edited by James Tanton, who is known for his contributions to mathematics education and outreach. This encyclopedia aims to cover a wide range of mathematical topics, concepts, and theories, making it accessible to students, educators, and anyone interested in mathematics. James Tanton, a mathematician and educator, has been involved in various initiatives to promote mathematics and enhance its teaching and learning.

The "Encyclopedia of Statistical Sciences" is a comprehensive reference work that covers a wide range of topics in the field of statistics. It is designed to provide detailed information about statistical theories, methodologies, applications, and important concepts. The encyclopedia is a valuable resource for researchers, practitioners, and students in statistics, as it consolidates expertise from various contributors in the field.

Wikipedia page: en.wikipedia.org/wiki/List_of_cultural_and_regional_genres_of_music

The "Encyclopedia of the History of Arabic Science" is a comprehensive reference work that explores the contributions of Arabic-speaking scholars to the development of science throughout history. This encyclopedia typically covers a wide range of scientific fields, including mathematics, astronomy, medicine, philosophy, and more, highlighting the significant advancements that occurred during the Islamic Golden Age (roughly from the 8th to the 14th centuries).

The "Encyclopedic Dictionary of Mathematics" is a comprehensive reference work that provides definitions and explanations of a wide range of mathematical concepts, terminology, and notations. It is designed to serve as a resource for students, educators, and professionals in the field of mathematics. The dictionary includes entries on various topics such as algebra, calculus, geometry, topology, number theory, and statistics, among others. It typically features detailed explanations, historical context, and relevant examples to aid in understanding complex mathematical ideas.

The "International Encyclopedia of Statistical Science" is a comprehensive reference work that encompasses a wide range of topics within the field of statistics. It serves as a valuable resource for statisticians, researchers, and students by providing detailed entries on various statistical concepts, methods, theories, and applications.

The timeline of hydrogen technologies spans several centuries, reflecting the evolution of hydrogen production, storage, and applications. Here's an overview highlighting key milestones: ### 18th Century - **1766**: Henry Cavendish discovers hydrogen, calling it "inflammable air." He identifies hydrogen as a distinct substance. ### 19th Century - **1839**: Sir William Grove develops the first fuel cell, the "Grove cell," which converts hydrogen and oxygen into electricity.

This is a family of notations related to the big O notation. A good mnemonic summary of all notations would be:

A central angle is an angle whose vertex is at the center of a circle, and whose sides (rays) extend to the circumference of the circle. The central angle is formed between two radii of the circle that connect the center of the circle to two points on its edge. Central angles are important in various mathematical and geometric contexts, particularly in relation to the properties of circles, such as arc length and sector area.

Birkhoff's axioms refer to a set of axioms introduced by mathematician George David Birkhoff in the context of defining the concept of a "relation" in mathematics, particularly pertaining to the fields of algebra and geometry. However, it is important to clarify that Birkhoff is perhaps best known for his work in lattice theory and the foundations of geometry.

Study of the metabolome.

A bicone is a geometric shape that resembles two cones joined at their bases. It resembles a double-cone structure and is commonly found in various contexts, including mathematics, geometry, and design. The shape can be characterized by its symmetrical properties and a specific relationship between its height and the radius of its circular base. In computer graphics and 3D modeling, biconic shapes are often used to represent certain types of objects or to create complex designs.

A bicentric polygon is a type of polygon that possesses both a circumcircle and an incircle. A circumcircle is a circle that passes through all the vertices of the polygon, while an incircle is a circle that is tangent to each side of the polygon. For a polygon to be classified as bicentric, it must meet specific criteria: 1. **Circumcircle**: All the vertices of the polygon lie on a single circle.

This actually happens in spring. But because they are so euphemistic winter had to be removed from the calendar, it gets shifted a left.

Apollonian circles are a fascinating concept in geometry associated with the problem of Apollonius, which involves finding circles that are tangent to three given circles in a plane. The study of these circles reveals insights into various geometric properties, including tangency, curvature, and configuration. In more detail: 1. **Apollonius' Problem**: The classical problem, attributed to Apollonius of Perga, asks for the construction of a circle that is tangent to three given circles.