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O que (quem) é rational singularity - definição
Rational singularity
CONCEPT IN SINGULARITY THEORY
Rational Singularity; Rational singularities
In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map
Du Val singularity
![Du Val singularies are classified by the [[simply laced Dynkin diagram]]s, a form of [[ADE classification]].](https://commons.wikimedia.org/wiki/Special:FilePath/Simply Laced Dynkin Diagrams.svg?width=200 "Du Val singularies are classified by the [[simply laced Dynkin diagram]]s, a form of [[ADE classification]].")
ISOLATED SINGULARITY OF A COMPLEX SURFACE
Kleinian singularity; Rational double point; Simple surface singularity; Simple singularity; DuVal singularity; Klein singularity; Du Val singularities; Cyclic singularity
In algebraic geometry, a Du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is modeled on a double branched cover of the plane, with minimal resolution obtained by replacing the singular point with a tree of smooth rational curves, with intersection pattern dual to a Dynkin diagram of A-D-E singularity type. They are the canonical singularities (or, equivalently, rational Gorenstein singularities) in dimension 2.
Technological singularity
![major evolutionary transitions]]" in information processing.<ref name="InfoBiosphere2016" />](https://commons.wikimedia.org/wiki/Special:FilePath/Major Evolutionary Transitions digital.jpg?width=200 "major evolutionary transitions]]\" in information processing.<ref name=\"InfoBiosphere2016\" />")
![graph]]). The 7 most recent data points are all [[Nvidia GPUs]].](https://commons.wikimedia.org/wiki/Special:FilePath/Moore's Law over 120 Years.png?width=200 "graph]]). The 7 most recent data points are all [[Nvidia GPUs]].")
![exponential]] trend.](https://commons.wikimedia.org/wiki/Special:FilePath/ParadigmShiftsFrr15Events.svg?width=200 "exponential]] trend.")
![In this sample recursive self-improvement scenario, humans modifying an AI's architecture would be able to double its performance every three years through, for example, 30 generations before exhausting all feasible improvements (left). If instead the AI is smart enough to modify its own architecture as well as human researchers can, its time required to complete a redesign halves with each generation, and it progresses all 30 feasible generations in six years (right).<ref name="yudkowsky-global-risk">[[Eliezer Yudkowsky]]. "Artificial intelligence as a positive and negative factor in global risk." Global catastrophic risks (2008).</ref>](https://commons.wikimedia.org/wiki/Special:FilePath/Recursive self-improvement.svg?width=200 "In this sample recursive self-improvement scenario, humans modifying an AI's architecture would be able to double its performance every three years through, for example, 30 generations before exhausting all feasible improvements (left). If instead the AI is smart enough to modify its own architecture as well as human researchers can, its time required to complete a redesign halves with each generation, and it progresses all 30 feasible generations in six years (right).<ref name=\"yudkowsky-global-risk\">[[Eliezer Yudkowsky]]. \"Artificial intelligence as a positive and negative factor in global risk.\" Global catastrophic risks (2008).</ref>")
PREDICTED FUTURE EVENT IN WHICH A SUPERHUMAN ARTIFICIAL GENERAL INTELLIGENCE IS MADE THAT ITERATIVELY REDESIGNS ITSELF TO RAPIDLY BECOME MUCH MORE INTELLIGENT, AND A RAPID GENERAL TECHNOLOGICAL AND SOCIAL CHANGE FOLLOWS THAT IS BEYOND PREDICTION
Technological Singularity; Recursive self-improvement; Vinge's Singularity; Vingean singularity; The singularity; Tech singularity; Technical singularity; Singularity (technological); Singularitism; Technology singularity; Seed AI; Recursive Self Improvement; Recursively-improving artificial intelligence; Recursively-Improving Artificial Intelligence; Recursively improving artificial intelligence; Recursively Improving Artificial Intelligence; Singularity Hypotheses; Recursive self improvement; Intelligence explosion; Singularity studies; Hard takeoff; Soft takeoff; Singularity hypothesis; The Singularity; Self-improving artificial intelligence; Self-improving AI; AI singularity
The technological singularity—or simply the singularity—is a hypothetical point in time at which technological growth will become radically faster and uncontrollable, resulting in unforeseeable changes to human civilization. According to the most popular version of the singularity hypothesis, I.
