Sigma Meaning: Definition, Examples, and Translations

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sigma

[ˈsɪɡmə ]

Definitions

Context #1 | Noun

mathematics symbol

Sigma (Σ, σ) is a letter of the Greek alphabet and represents a summation operator in mathematics. It is used primarily to indicate the sum of a sequence of numbers. The use of sigma in mathematical contexts often denotes the total or cumulative sum of a set of values, typically represented by a series. In addition to mathematics, sigma is also used in statistics to denote the standard deviation of a population. The uppercase form Σ is frequently used in summation notation, while the lowercase form σ is used in various statistical formulas.

Synonyms

sum, summation, total.

Examples of usage

  • We calculated the total using the sigma notation.
  • The sigma symbol represents the sum of the series.
  • In statistics, sigma often indicates variation.
  • The formula includes a sigma for clarity.
Context #2 | Noun

business term

In business contexts, sigma refers to a measure of quality or performance. The concept of Six Sigma is instrumental in quality management and process improvement methodologies. It aims to reduce defects and improve processes by identifying and removing causes of errors. Six Sigma utilizes various quality management tools and techniques to enhance overall efficiency. The term signifies striving for near perfection in processes.

Synonyms

performance measure, quality control.

Examples of usage

  • Our organization has adopted Six Sigma methodologies.
  • He is a certified Six Sigma black belt.
  • Six Sigma helps in minimizing defects.
  • The project aims to achieve Sigma quality levels.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • In mathematics, sigma is frequently used in summation notation, indicating the addition of a sequence of numbers.
  • The symbol is widely recognized in the field of statistics, particularly in relation to variations and distributions.
  • Engineers and scientists use the sigma concept to express uncertainties and variations in measurements.

Pop Culture

  • In social media, the term 'sigma male' has emerged to describe a man who is self-reliant and successful independently.
  • The 'Sigma' designation has been used in video games to represent characters or entities that embody complexity and balance.
  • Various brands have adopted the sigma symbol in their logos to project creativity and precision.

Philosophy

  • In some philosophical discussions, sigma represents the idea of unity in diversity, akin to synthesizing varying ideas into a cohesive thought.
  • The concept is used in dialectics to illustrate the merging of dualities into a singular truth or concept.

Science

  • In chemistry, 'sigma bonds' are the strongest type of covalent chemical bond, formed by the direct overlap of atomic orbitals.
  • The term sigma is used in physics to denote stress in materials and is crucial in engineering disciplines.
  • In psychometrics, sigma often refers to the standard deviation in the context of testing and measurements of variability.

Origin of 'sigma'

Main points about word origin

  • Derived from the Greek word 'sigma' (Σ, σ) which means 'sum' or 'to add up.'
  • In ancient Greek numerals, sigma represents the number 200.
  • The lowercase form 'σ' is often used in statistics to denote standard deviation.

The term 'sigma' originates from the Greek alphabet, where it serves as the 18th letter. Its lower case form, 'σ', has historically been used in mathematics and statistics since ancient times. The letter has evolved into a symbol representing summation in mathematics during the late 19th century, largely due to the influence of mathematicians such as Leonhard Euler, who popularized its use. The application of 'sigma' in the realm of quality management emerged in the mid-20th century, particularly with the development of the Six Sigma methodology in the 1980s by Motorola. This approach focused on reducing defects and enhancing process efficiency across various industries. Over time, 'sigma' has taken on further significance in various fields, symbolizing not just mathematical concepts but diverse performance metrics in business and quality control.


Word Frequency Rank

With rank #19,820, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.