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Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
In mathematics, the free group F S over a given set S consists of all words that can be built from members of S, considering two words to be different unless their equality follows from the group axioms (e.g. st = suu −1 t but s ≠ t −1 for s,t,u ∈ S). The members of S are called generators of F S, and the number of generators is the ...
Catalan castellers collaborate, working together with a shared goal. Collaboration (from Latin com-"with" + laborare "to labor", "to work") is the process of two or more people, entities or organizations working together to complete a task or achieve a goal. [1]
The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.
In linguistics, a collective noun is a word referring to a collection of things taken as a whole. Most collective nouns in everyday speech are not specific to one kind of thing. [1] For example, the collective noun "group" can be applied to people ("a group of people"), or dogs ("a group of dogs"), or objects ("a group of stones").
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
Researchers suggested that a combination of low self-directedness and low cooperativeness form a general factor common to all personality disorders. [4] The specific combination of low self-directedness, low cooperativeness, and high self-transcendence has been described as a "schizotypal personality" style by Cloninger and colleagues, [4] and has been found to be associated with high levels ...
In universal algebra the word type or similarity type is often used as a synonym for "signature". In model theory, a signature σ {\displaystyle \sigma } is often called a vocabulary , or identified with the (first-order) language L {\displaystyle L} to which it provides the non-logical symbols .