Kappa (; uppercase Κ, lowercase κ or Cursive Greek ; , káppa) is the tenth letter of the Greek alphabet, representing the voiceless velar plosive sound in Ancient Greek and Modern Greek. In the system of Greek numerals, Kʹ has a value of 20. It was derived from the Phoenician letter kaph . Letters that arose from kappa include the Roman K and Cyrillic К. The uppercase form is identical to the Latin K.
Greek proper names and placenames containing kappa are often written in English with "c" due to the Ancient Rome' transliterations into the Latin alphabet: Constantinople, Corinth, Crete. All formal modern romanizations of Greek now use the letter "k", however.
The Greek cursive form is generally a simple font variant of lower-case kappa, but it is encoded separately in Unicode for occasions where it is used as a separate symbol in math and science. In mathematics, the kappa curve is named after this letter; the of this curve were first calculated by Isaac Barrow in the 17th century.
Symbol
Lowercase (κ)
- Mathematics and statistics
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In graph theory, the connectivity of a graph is given by κ.
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In differential geometry, the curvature of a curve is given by κ.
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In linear algebra, the condition number of a matrix is given by κ.
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The kappa curve, also known as Gutschoven's curve, is a curve whose shape resembles the letter κ.
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Kappa statistics such as Cohen's kappa
and Fleiss' kappa are methods for calculating inter-rater reliability.
- Physics
- Engineering
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In structural engineering, κ is the ratio of the smaller factored moment to the larger factored moment and is used to calculate the critical elastic moment of an unbraced steel member.
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In electrical engineering, κ is the multiplication factor, a function of the R/ X ratio of the equivalent power system network, which is used in calculating the peak short-circuit current of a system fault. κ is also used to denote conductivity, the reciprocal of resistivity, rho.
- Biology and biomedical science
- Psychology and psychiatry
- Economics
- Chemistry
Uppercase (Κ)
- History
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In textual criticism, the Byzantine text-type (from Κοινη, Koine, the common text).
- Mathematics and statistics
- Chemistry
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In pulping, the kappa number represents the amount of an oxidizing agent required for bleaching a pulp.
Unicode