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Power Query is built on what was then [when?] a new query language called M.It is a mashup language (hence the letter M) designed to create queries that mix together data. It is similar to the F# programming language, and according to Microsoft it is a "mostly pure, higher-order, dynamically typed, partially lazy, functional language."
Let two groups of variables defined on the same set of individuals. Group 1 is composed of two uncorrelated variables A and B. Group 2 is composed of two variables {C1, C2} identical to the same variable C uncorrelated with the first two. This example is not completely unrealistic.
The implicit function theorem of more than two real variables deals with the continuity and differentiability of the function, as follows. [4] Let ϕ(x 1, x 2, …, x n) be a continuous function with continuous first order partial derivatives, and let ϕ evaluated at a point (a, b) = (a 1, a 2, …, a n, b) be zero:
The extracted variables are known as latent variables or factors; each one may be supposed to account for covariation in a group of observed variables. Canonical correlation analysis finds linear relationships among two sets of variables; it is the generalised (i.e. canonical) version of bivariate [3] correlation.
The let expression is present in many functional languages to allow the local definition of expression, for use in defining another expression. The let-expression is present in some functional languages in two forms; let or "let rec". Let rec is an extension of the simple let expression which uses the fixed-point combinator to implement recursion.
For example, let () = be the usual square root function on positive real numbers. One may extend its domain to a neighbourhood of z = 1 {\displaystyle z=1} in the complex plane, and then further along curves starting at z = 1 {\displaystyle z=1} , so that the values along a given curve vary continuously from 1 = 1 {\displaystyle {\sqrt {1}}=1} .