For Each Partial Function, Determine Its Domain, Codomain, Domain of Definition

question 158

Short Answer

for each partial function, determine its domain, codomain, domain of definition, set of values for which it is undefined or if it is a total function:
- $$f : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { Z } , \text { where } f ( m , n ) = m n$$

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Definitions:

Shaping

A method used in behavioral psychology to gradually guide someone towards a desired behavior by reinforcing successive approximations of the target behavior.

Operant Conditioning

An approach to modifying behavior strength through the implementation of positive or negative feedback.

Extinction

In psychology, the gradual weakening and eventual disappearance of a conditioned response when the conditioned stimulus is no longer paired with the unconditioned stimulus.

Reinforcement

In behavior psychology, a consequence that will strengthen an organism's future behavior whenever that behavior is preceded by a specific antecedent stimulus.