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In number theory, specifically the study of Diophantine approximation, the lonely runner conjecture is a conjecture about the long-term behavior of runners on a circular track. It states that n {\displaystyle n} runners on a track of unit length, with constant speeds all distinct from one another, will each be lonely at some time—at least 1 ...
The Mathcounts Competition Series spread quickly in middle schools, and today it is the best-known middle school mathematics competition. [5] In 2007, Mathcounts launched the National Math Club as a noncompetitive alternative to the Competition Series. In 2011, Mathcounts launched the Math Video Challenge Program, which was discontinued in 2023 ...
Seventh grade (also 7th Grade or Grade 7) is the seventh year of formal or compulsory education. The seventh grade is typically the first or second year of middle school. In the United States, kids in seventh grade are usually around 12–13 years old. Different terms and numbers are used in other parts of the world.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.
Mathematical visualization is used throughout mathematics, particularly in the fields of geometry and analysis. Notable examples include plane curves , space curves , polyhedra , ordinary differential equations , partial differential equations (particularly numerical solutions, as in fluid dynamics or minimal surfaces such as soap films ...
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In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x 1/n).