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Gaussian - Meaning, Definition & English Examples

A Gaussian refers to something related to the normal distribution in statistics, often describing a bell-shaped curve. It is used in probability, data analysis, and signal processing.

gaussian

/ˈɡɑːʃən/ /ˈɡɒsɪən/

Definition:

Relating to or characteristic of the mathematician Carl Friedrich Gauss or his work, especially in statistics and probability.

Synonyms:

normal, bell-shaped, symmetrical, probabilistic

Part of Speech:

adjective

Antonyms:

skewed, asymmetrical

Common Collocations:

Gaussian distribution, Gaussian curve, Gaussian noise, Gaussian process

Derivatives:

Gaussianity, non-Gaussian

Usage Tips:

Use "Gaussian" to describe distributions or curves that are symmetrical and bell-shaped in statistics.

Common Phrases:

Gaussian blur, Gaussian elimination, Gaussian function

Etymology:

Named after Carl Friedrich Gauss (1777–1855), who contributed to the mathematical theory underlying the term.

Examples:

  • 1. The data follows a Gaussian distribution perfectly.
  • 2. A Gaussian curve is symmetric around its mean value.
  • 3. Gaussian noise often appears in digital signal processing.
  • 4. The scientist applied a Gaussian filter to smooth the image.

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