rhizoverbBeta
DictionaryRoot: -tio
Latin

-tio

an action, process, or result

Forms

  • -tio
  • -tion- — The longer Latin form.
  • -tion — The ending retained in many English nouns.

Origin

Latin -tio belongs to the older action-noun ending also seen as -io.

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noun

convolution

An operation combining two functions by measuring their overlap as one shifts across the other.

Convolution combines an input signal with a filter's response function.

Etymology
conLatintogether, with; sometimes thoroughly
+voluLatinroll or turn
+tionLatinan action, process, or result

Latin con- and volvere express rolling together. The mathematical term adopts that combining image for an operation that gathers contributions as one function shifts relative to another.

More examples

  • Discrete convolution combines two sequences using sums of products.
  • The convolution of two probability densities describes the sum of independent random variables.
  • To compute the convolution, she reverses one function and slides it across the other.

Forms

convolution · convolutions

convolve verb — Combine two functions by computing their convolution.

Similar words

cross-correlation
Compares shifted functions without the reversal used in convolution.