essential singularity - definition. What is essential singularity
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Essential singularity         
  • complex argument]], the luminance represents the [[absolute value]]. This plot shows how approaching the essential singularity from different directions yields different behaviors (as opposed to a pole, which, approached from any direction, would be uniformly white).
  • 1=6''w'' = exp(1/(6''z''))}}
SINGULARITY NEAR WHICH A FUNCTION EXHIBITS EXTREME BEHAVIOR
Essential singular point; An Essential Singularity; Essential singularities
In complex analysis, an essential singularity of a function is a "severe" singularity near which the function exhibits odd behavior.
Technological singularity         
  • 21}} bytes) versus human genome information worldwide (10<sup>19</sup> bytes) in 2014<ref name="InfoBiosphere2016" />
  • major evolutionary transitions]]" in information processing.<ref name="InfoBiosphere2016" />
  • graph]]). The 7 most recent data points are all [[Nvidia GPUs]].
  • 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>
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.
Singularity (system theory)         
CONTEXT IN WHICH A SMALL CHANGE CAN CAUSE A LARGE EFFECT, ACCORDING TO MAXWELL
Singularity in System Theory; Singularity (system theory)
In the study of unstable systems, James Clerk Maxwell in 1873 was the first to use the term singularity in its most general sense: that in which it refers to contexts in which arbitrarily small changes, commonly unpredictably, may lead to arbitrarily large effects. In this sense, Maxwell did not differentiate between dynamical systems and social systems.