catastrophe theory
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/kɐtˈastɹəfÉĒ Î¸Ëˆiəɹi/

āχāĻ‚āϰ⧇āϜāĻŋāϤ⧇ "catastrophe theory"āĻāϰ āϏāĻ‚āĻœā§āĻžāĻž āĻ“ āĻ…āĻ°ā§āĻĨ

01

āĻŦāĻŋāĻĒāĻ°ā§āϝāϝāĻŧ āϤāĻ¤ā§āĻ¤ā§āĻŦ, āĻĻ⧁āĻ°ā§āϝ⧋āĻ— āϤāĻ¤ā§āĻ¤ā§āĻŦ

a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances
āωāĻĻāĻžāĻšāϰāĻŖ
Catastrophe theory models complex systems using mathematical structures called catastrophe manifolds, which describe the possible states of the system and the transitions between them.
āĻŦāĻŋāĻĒāĻ°ā§āϝāϝāĻŧ āϤāĻ¤ā§āĻ¤ā§āĻŦ āĻ—āĻžāĻŖāĻŋāϤāĻŋāĻ• āĻ•āĻžāĻ āĻžāĻŽā§‹ āĻŦā§āϝāĻŦāĻšāĻžāϰ āĻ•āϰ⧇ āϜāϟāĻŋāϞ āϏāĻŋāĻ¸ā§āĻŸā§‡āĻŽ āĻŽāĻĄā§‡āϞ āĻ•āϰ⧇ āϝāĻž āĻŦāĻŋāĻĒāĻ°ā§āϝāϝāĻŧ āĻŽā§āϝāĻžāύāĻŋāĻĢā§‹āĻ˛ā§āĻĄ āύāĻžāĻŽā§‡ āĻĒāϰāĻŋāϚāĻŋāϤ, āϝāĻž āϏāĻŋāĻ¸ā§āĻŸā§‡āĻŽā§‡āϰ āϏāĻŽā§āĻ­āĻžāĻŦā§āϝ āĻ…āĻŦāĻ¸ā§āĻĨāĻž āĻāĻŦāĻ‚ āϤāĻžāĻĻ⧇āϰ āĻŽāĻ§ā§āϝ⧇ āϰ⧂āĻĒāĻžāĻ¨ā§āϤāϰ āĻŦāĻ°ā§āĻŖāύāĻž āĻ•āϰ⧇āĨ¤
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āĻ…ā§āϝāĻžāĻĒ āĻĄāĻžāωāύāϞ⧋āĻĄ āĻ•āϰ⧁āύ