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Biological exponential growth is the unrestricted growth of a population of organisms, occurring when resources in its habitat are unlimited. [1] Most commonly apparent in species that reproduce quickly and asexually , like bacteria , exponential growth is intuitive from the fact that each organism can divide and produce two copies of itself.
Growth like this is observed in real-life activity or phenomena, such as the spread of virus infection, the growth of debt due to compound interest, and the spread of viral videos. In real cases, initial exponential growth often does not last forever, instead slowing down eventually due to upper limits caused by external factors and turning ...
By now, it is a widely accepted view to analogize Malthusian growth in Ecology to Newton's First Law of uniform motion in physics. [8] Malthus wrote that all life forms, including humans, have a propensity to exponential population growth when resources are abundant but that actual growth is limited by available resources:
The exponential function can be naturally extended to a complex function, which is a function with the complex numbers as domain and codomain, such that its restriction to the reals is the above-defined exponential function, called real exponential function in what follows.
Parallel universes in fiction, a hypothetical self-contained plane of existence, co-existing with one's own; Alternate history, a genre of fiction in which historical events differ from reality; Alternative universe (fan fiction), fiction by fan authors that departs from the fictional universe of the source work
As an example of super-exponential growth Kurzweil cites the computer chip business. The overall budget for the whole industry increases over time, since the fruits of exponential growth make it an attractive investment; meanwhile the additional budget fuels more innovation which makes the industry grow even faster, effectively an example of ...
Through the power of exponential growth, the player's horde of probes overwhelms the Drifters while devouring the remaining matter in the universe to produce a final tally of 30 septendecillion (3 × 10 55) paperclips, and ending the game. The player can restart in a parallel universe "next door" or a simulated universe "within". In the version ...
Alternate reality (or Alternative reality, UK English) often refers to parallel universes in fiction, a self-contained separate world, universe or reality coexisting with the real world, which is used as a recurring plot point or setting used in fantasy and science fiction. Alternate reality may also refer to: