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As such, a DataFrame can be thought of as having two indices: one column-based and one row-based. Because column names are stored as an index, these are not required to be unique. [9]: 103–105 If data is a Series, then data['a'] returns all values with the index value of a.
Lambda architecture depends on a data model with an append-only, immutable data source that serves as a system of record. [2]: 32 It is intended for ingesting and processing timestamped events that are appended to existing events rather than overwriting them. State is determined from the natural time-based ordering of the data.
However it does not demonstrate the soundness of lambda calculus for deduction, as the eta reduction used in lambda lifting is the step that introduces cardinality problems into the lambda calculus, because it removes the value from the variable, without first checking that there is only one value that satisfies the conditions on the variable ...
Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. [3] Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms to denote binding a variable in a function.
The translation may apply the function in some way to retrieve the value it represents, or look up its value as a literal lambda term. Lambda calculus is usually interpreted as using intensional equality .
A computation consists of a μ-recursive function, i.e. its defining sequence, any input value(s) and a sequence of recursive functions appearing in the defining sequence with inputs and outputs. Thus, if in the defining sequence of a recursive function f ( x ) the functions g ( x ) and h ( x , y ) appear, then terms of the form g (5) = 7 or h ...
The use of an initial value is necessary when the combining function f is asymmetrical in its types (e.g. a → b → b), i.e. when the type of its result is different from the type of the list's elements. Then an initial value must be used, with the same type as that of f 's result, for a linear chain of applications to be possible. Whether it ...
Tukey's lambda distribution is a shape-conformable distribution used to identify an appropriate common distribution family to fit a collection of data to. Wilks' lambda distribution is an extension of Snedecor 's F-distribution for matricies used in multivariate hypothesis testing, especially with regard to the likelihood-ratio test and ...