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Delta (/ ˈ d ɛ l t ə /; [1] uppercase Δ, lowercase δ; Greek: δέλτα, délta, ) [2] is the fourth letter of the Greek alphabet. In the system of Greek numerals it has a value of 4. It was derived from the Phoenician letter dalet 𐤃. [ 3 ]
1. A delta number is an ordinal of the form ω ω α 2. A limit ordinal Δ (Greek capital delta, not to be confused with a triangle ∆) 1. A set of formulas in the Lévy hierarchy 2. A delta system ε An epsilon number, an ordinal with ω ε =ε η 1. The order type of the rational numbers 2. An eta set, a type of ordered set 3.
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a system of writing numbers using the letters of the Greek alphabet.In modern Greece, they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world.
one of the Gegenbauer functions in analytic number theory (may be replaced by the capital form of the Latin letter P). represents: one of the Gegenbauer functions in analytic number theory. the Dickman–de Bruijn function; the radius in a polar, cylindrical, or spherical coordinate system; the correlation coefficient in statistics
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Exponentially indecomposable ordinals are equal to the epsilon numbers, tetrationally indecomposable ordinals are equal to the zeta numbers (fixed points of ), and so on. Therefore, φ ω ( 0 ) {\displaystyle \varphi _{\omega }(0)} is the first ordinal which is ↑ n {\displaystyle \uparrow ^{n}} -indecomposable for all n {\displaystyle n ...
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