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Order in mathematics has many meanings and applications in different fields and topics. Learn about the various types and uses of order in set theory, algebra, analysis, combinatorics, geometry, logic, statistics and more.
Chaos theory is a branch of mathematics and science that studies complex systems with sensitive dependence on initial conditions. Learn about the butterfly effect, the Lorenz attractor, the double-rod pendulum and other phenomena related to chaos theory.
Order theory is a branch of mathematics that studies the intuitive notion of order using binary relations. It provides a formal framework for describing statements such as "this is less than that" or "this precedes that". Learn about partially ordered sets, total orders, special elements, and visualizing orders.
Second-order logic is an extension of first-order logic that allows quantification over sets, relations, and functions. Learn about its syntax, semantics, expressive power, and applications in logic and mathematics.
A permutation is an arrangement of a set of objects in a sequence or a function that reorders the elements of a set. Learn about the different meanings, properties, applications and history of permutations in mathematics and other fields.
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words affects various areas of mathematical study, including algebra and computer science. There have been a ...
Learn about word order, the order of the syntactic constituents of a language, and how it varies across languages. Compare the six basic word orders (SOV, SVO, VSO, VOS, OVS, OSV) and their distribution, flexibility, and pragmatic functions.
A comprehensive collection of lists covering various aspects of mathematics, from basic to advanced, pure to applied, and methodology to applications. Find links to articles, glossaries, and meta-lists for different mathematical topics and fields.