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Delta ( / ˈdɛltə /; [1] uppercase Δ, lowercase δ; Greek: δέλτα, délta, [ˈðelta]) [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] Letters that come from delta include Latin D and Cyrillic Д .
t. e. Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
The character ∂ ( Unicode: U+2202) is a stylized cursive d mainly used as a mathematical symbol, usually to denote a partial derivative such as (read as "the partial derivative of z with respect to x "). [1] [2] It is also used for boundary of a set, the boundary operator in a chain complex, and the conjugate of the Dolbeault operator on ...
Introduction. The term differential is used nonrigorously in calculus to refer to an infinitesimal ("infinitely small") change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δ x (pronounced delta x ). The differential dx represents an infinitely small change in the variable x.
Delta operator. In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift-equivariant means that if , then. In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vector" .
The nabla symbol. The nabla is a triangular symbol resembling an inverted Greek delta: [1] or ∇. The name comes, by reason of the symbol's shape, from the Hellenistic Greek word νάβλα for a Phoenician harp, [2] [3] and was suggested by the encyclopedist William Robertson Smith in an 1870 letter to Peter Guthrie Tait. [2] [4] [5] [6] [7]
Mathematics. Δ, a difference of state between two before and after state schemas in the Z notation. δ {\displaystyle \delta } , the first Feigenbaum constant. Delta connective, a unary connective in t-norm fuzzy logics. Delta method for approximating the distribution of a function.
Delta method. In statistics, the delta method is a method of deriving the asymptotic distribution of a random variable. It is applicable when the random variable being considered can be defined as a differentiable function of a random variable which is asymptotically Gaussian .
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