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Ortholysis

(noun): the wrapping around of a mathematical function under transformation into a higher nth-dimensional space where n > 2 and n ∈ ℤ+. This twisting occurs typically when a 2D function is integrated by rotating about the x-axis in order to find the volume of the 3rd-dimensional shape.

Ortholysis is used to describe this behaviour in various different sub-branches of integral calculus. The origin of this word is still unknown. However, this neologism was rumoured to have been coined by a Romanian scientist and mathematician. i

Student: "Would the integral of y=−ze^x about the x-axis give you some sort of pulsar-like ortholysis spirally thing?"
Teacher: "Sort of. It depends on your limits and of course the fact that your equation doesn't consider that a pulsar visualisation with that equation would be rotating about the y-axis!"
Teacher: "And also the fact that the center of mass is not represented accurately in any way and you'd need to make it asymptotic."

by globaldefinitions March 5, 2017