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The Convergence Movement, also known as the Ancient-Future Faith, [1] whose foundation is primarily attributed to Robert E. Webber in 1985, [2] is an ecumenical movement.
Technological convergence is the tendency for technologies that were originally unrelated to become more closely integrated and even unified as they develop and advance. For example, watches, telephones, television, computers, and social media platforms began as separate and mostly unrelated technologies, but have converged in many ways into an interrelated telecommunication, media, and ...
In his book Convergence Culture, Jenkins uses the example of the Survivor fan culture to reveal this phenomenon at play. Here, fans on Reddit, described as a "knowledge community", work like a hive mind and come together online to put multiple pieces of relatively small bits of information together, thus being able to puzzle together spoilers.
Convergence can be defined in terms of sequences in first-countable spaces. Nets are a generalization of sequences that are useful in spaces which are not first countable. Filters further generalize the concept of convergence. In metric spaces, one can define Cauchy sequences. Cauchy nets and filters are generalizations to uniform spaces.
Convergence research aims to solve complex problems employing transdisciplinarity. [1] While academic disciplines are useful for identifying and conveying coherent bodies of knowledge , some problems require collaboration among disciplines, including both enhanced understanding of scientific phenomena as well as resolving social issues .
Symbolic Convergence Theory has been used to study movements such as the Puritans, [20] the Knights of Columbus, [21] American communism, and the Women's movement. [22] It has been used to study political visions such as the Cold War, [17] the New South, [23] and Vietnam War decision making, [24] amongst others.
Emotional contagion is a form of social contagion that involves the spontaneous spread of emotions and related behaviors. [1] [2] Such emotional convergence can happen from one person to another, or in a larger group.
A sequence of functions () converges uniformly to when for arbitrary small there is an index such that the graph of is in the -tube around f whenever . The limit of a sequence of continuous functions does not have to be continuous: the sequence of functions () = (marked in green and blue) converges pointwise over the entire domain, but the limit function is discontinuous (marked in red).