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In mathematics, a binary relation on a set is reflexive if it relates every element of to itself. [1][2] An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity.
Within sociology more broadly—the field of origin— reflexivity means an act of self-reference where existence engenders examination, by which the thinking action "bends back on", refers to, and affects the entity instigating the action or examination. It commonly refers to the capacity of an agent to recognise forces of socialisation and ...
In mathematics, the transitive closure R+ of a homogeneous binary relation R on a set X is the smallest relation on X that contains R and is transitive. For finite sets, "smallest" can be taken in its usual sense, of having the fewest related pairs; for infinite sets R+ is the unique minimal transitive superset of R.
In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. [1] As an example, " is less than " is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values ...
In the mathematics of binary relations, the composition of relations is the forming of a new binary relation R ; S from two given binary relations R and S. In the calculus of relations, the composition of relations is called relative multiplication, [1] and its result is called a relative product. [2]: 40 Function composition is the special ...
Reflective practice is the ability to reflect on one's actions so as to take a critical stance or attitude towards one's own practice and that of one's peers, engaging in a process of continuous adaptation and learning. [1][2] According to one definition it involves "paying critical attention to the practical values and theories which inform ...
The exercise selection was fine; ChatGPT assigned me compound movements like squats and chest presses with some efficient isolation moves. ... when I ditched bent-over barbell rows for bench ...
O’Neill was born and raised in northwest London by Irish Catholic parents of working-class background with his younger sister Joan. O’Neill received a BA in sociology from the London School of Economics in 1955 where he immersed himself in classics of social and political theory from Plato to L.T. Hobhouse.