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Concept
Lambda
Summary
Lambda ('l{md@; uppercase Λ, lowercase λ; λάμ(β)δα, lám(b)da) is the eleventh letter of the Greek alphabet, representing the voiced alveolar lateral approximant l. In the system of Greek numerals, lambda has a value of 30. Lambda is derived from the Phoenician Lamed . Lambda gave rise to the Latin L and the Cyrillic El (Л). The ancient grammarians and dramatists give evidence to the pronunciation as laːbdaː (λάβδα) in Classical Greek times. In Modern Greek, the name of the letter, Λάμδα, is pronounced ˈlam.ða.
In early Greek alphabets, the shape and orientation of lambda varied. Most variants consisted of two straight strokes, one longer than the other, connected at their ends. The angle might be in the upper-left, lower-left ("Western" alphabets) or top ("Eastern" alphabets). Other variants had a vertical line with a horizontal or sloped stroke running to the right. With the general adoption of the Ionic alphabet, Greek settled on an angle at the top; the Romans put the angle at the lower-left.
The HTML 4 character entity references for the Greek capital and small letter lambda are Λ and λ respectively. The Unicode code points for lambda are U+039B and U+03BB.
Examples of the symbolic use of uppercase lambda include:
The lambda particle is a type of subatomic particle in subatomic particle physics.
Lambda is the set of logical axioms in the axiomatic method of logical deduction in first-order logic.
There is a poetical allusion to the use of Lambda as a shield blazon by the Spartans.
Lambda is the von Mangoldt function in mathematical number theory.
Lambda denotes the de Bruijn–Newman constant which is closely connected with Riemann's hypothesis.
In statistics, lambda is used for the likelihood ratio.
In statistics, Wilks's lambda is used in multivariate analysis of variance (MANOVA analysis) to compare group means on a combination of dependent variables.
In the spectral decomposition of matrices, lambda indicates the diagonal matrix of the eigenvalues of the matrix.
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Greek alphabet
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BC. It is derived from the earlier Phoenician alphabet, and was the earliest known alphabetic script to have distinct letters for vowels as well as consonants. In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BC, the Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard and it is this version that is still used for Greek writing today.
Wavelength
In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. In other words, it is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings. Wavelength is a characteristic of both traveling waves and standing waves, as well as other spatial wave patterns. The inverse of the wavelength is called the spatial frequency.
Latin script
The Latin script, also known as the Roman script, is an alphabetic writing system based on the letters of the classical Latin alphabet, derived from a form of the Greek alphabet which was in use in the ancient Greek city of Cumae, in southern Italy (Magna Graecia). The Greek alphabet was adopted by the Etruscans, and subsequently their alphabet was adopted by the Romans. Several Latin-script alphabets exist, which differ in graphemes, collation and phonetic values from the classical Latin alphabet.