convolution etymology

Etymology:

  • Latin: "convolutio" ("rolling up," "twisting together")
  • Derived from the verb "convolvo," meaning "to roll together"

Meaning:

In mathematics, convolution is a mathematical operation that takes two functions and produces a third function. It is represented by the symbol "*".

Origin:

The term "convolution" was first used in the context of calculus in the 17th century by the Swiss mathematician Jakob Bernoulli. It was later adopted by other mathematicians, such as Leonhard Euler and Joseph-Louis Lagrange, in the 18th century.

Significance:

Convolution has many applications in various fields, including:

  • Signal processing: Convolution is used to smooth signals and remove noise.
  • Image processing: Convolution is used for image filtering, sharpening, and edge detection.
  • Physics: Convolution is used to solve wave equations and describe the propagation of waves.
  • Numerical analysis: Convolution is used to approximate functions and solve differential equations.
  • Probability theory: Convolution is used to determine the probability distribution of random variables.

convolution relate terms

  • convoluted

    Etymology Convoluted derives from the Latin word convolvere meaning to roll up or

  • convolution

    Etymology Latin convolutio rolling up twisting together Derived from the verb

  • archivolt

    Etymology French archivolte Latin archivolutus past participle of archivolvere to r

  • circumvolve

    Etymology Latin circumvolvere circum around volvere to roll Proto Indo

  • convoluted

    Etymology Convoluted derives from the Latin word convolvere meaning to roll up or

  • convolution

    Etymology Latin convolutio rolling up twisting together Derived from the verb

  • devolve

    Etymology Latin devoluere meaning to roll down or to transfer Meaning To t

  • elytra

    Etymology Latin elytrum sheath or wing case Meaning The hardened forewings

  • evolution

    Etymology of Evolution The word evolution comes from the Latin word evolvere which

  • evolve

    Etymology Middle English evoluen from Latin evolvere to unroll unfold Latin evolve

  • Helicon

    Etymology Greek helikōn spiral Proto Indo European kʷel to turn Meaning

  • helicopter

    Etymology The word helicopter is derived from the Greek words helix ἕλιξ mea

  • helix

    Etymology The word helix comes from the Greek word ἕλιξ helix which means s

  • helminth

    Etymology Helminth is derived from the Greek word helmins meaning intestinal worm

  • lorimer

    Etymology The name Lorimer comes from the Middle English surname Lori m er which origi

  • ileus

    Etymology The word ileus is derived from the Greek word eileós meaning twisting c

  • involve

    Etymology The study of the origin and history of words Meaning The intended or implied

  • revolt

    Etymology The word revolt comes from the Latin word revolvere which means to roll b

  • revolution

    Etymology Latin revolutio a rolling back return revolution re back again

  • revolve

    Etymology From Middle English revolve from Old French revolver from Latin revolvō

  • valve

    Etymology Middle English valve from Old French valve from Latin valva meaning le

  • vault

    Etymology Middle English vaute from Old French veute vault cellar cave from La

  • vault

    Etymology Middle English vaute from Old French veute vault cellar cave from La

  • volte face

    Etymology The phrase volte face is derived from the French expression volter face wh

  • voluble

    Etymology The word voluble comes from the Latin verb volvere meaning to roll or tur

  • volume

    Etymology The word volume is derived from the Latin word volumen meaning a roll or

  • voluminous

    Etymology The word voluminous comes from the Latin word volumen which means scroll

  • volute

    Etymology Latin voluta Greek ἕλιξ helix meaning coil spiral Meaning and O

  • volvox

    Etymology Volvox is derived from volvere to roll Meaning Volvox is a genus of mi

  • volvulus

    Etymology Volvulus is derived from the Latin word volvere meaning to roll to t

  • wale

    Etymology The word wale has multiple etymological origins Old English wæle Mean

  • walk

    Etymology The word walk derives from the Proto Germanic word walkaną meaning to roll

  • wallet

    Etymology The word wallet originates from the Old English word walett which in turn

  • wallow

    Etymology The word wallow has two distinct etymologies one for its main meaning and o

  • waltz

    Etymology Middle French valce German walzen to roll Old High German walzan Meani

  • well

    Etymology The word well comes from the Old English word wiella which is derived from

  • welter

    Etymology The word welter derives from the Middle English term wultren which means

  • whelk

    Etymology Middle English whelke from Old English hwylca Proto Germanic hwalkijǭ

  • willow

    Etymology The English word willow originates from an Old English word welige or wil

  • vortex

    Etymology Latin vortex whirlpool eddy Proto Indo European werg to turn to whir

  • structure

    Structure Etymology Latin structura meaning a building construction or arrangeme

  • militia

    Etymology The word militia derives from the Latin noun miles meaning soldier whi

  • stock

    Etymology The word stock has several origins Old English stocc trunk of a tree

  • bull

    Etymology The word bull comes from the Middle English word bulle which in turn came

  • memoir

    Etymology French mémoire memory Latin memoria remembrance Meaning A memo

  • comprise

    Etymology Old French comprendre Latin comprendere Proto Indo European kom prenh₁

  • spell

    Etymology Spell noun Old English spell meaning a spoken or written formula believ

  • invest

    Etymology The word invest is derived from the Latin word investis which means to c

  • rack

    Etymology Middle English rake from Old English racu meaning heap pile ridge Prot