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Imputation – Similar to single imputation, missing values are imputed. However, the imputed values are drawn m times from a distribution rather than just once. At the end of this step, there should be m completed datasets. Analysis – Each of the m datasets is analyzed.
In economics, the theory of imputation, first expounded by Carl Menger, maintains that factor prices are determined by output prices [6] (i.e. the value of factors of production is the individual contribution of each in the final product, but its value is the value of the last contributed to the final product (the marginal utility before reaching the point Pareto optimal).
Such words are known as unpaired words. Opposites may be viewed as a special type of incompatibility. [1] Words that are incompatible create the following type of entailment (where X is a given word and Y is a different word incompatible with word X): [2] sentence A is X entails sentence A is not Y [3]
In logic, a truth function [1] is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always output the same truth value.
As a word of caution, "a one-to-one function" is one that is injective, while a "one-to-one correspondence" refers to a bijective function. Also, the statement "f maps X onto Y" differs from "f maps X into B", in that the former implies that f is surjective, while the latter makes no assertion about the nature of f. In a complicated reasoning ...
Antithesis (pl.: antitheses; Greek for "setting opposite", from ἀντι-"against" and θέσις "placing") is used in writing or speech either as a proposition that contrasts with or reverses some previously mentioned proposition, or when two opposites are introduced together for contrasting effect. [1] [2]
A function is surjective or onto if each element of the codomain is mapped to by at least one element of the domain. In other words, each element of the codomain has a non-empty preimage. Equivalently, a function is surjective if its image is equal to its codomain. A surjective function is a surjection. [1] The formal definition is the following.
An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. [ 1 ] : 204–206 For example, the equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} of the unit circle defines y as an implicit function ...