Suppose a = {2, 3, 6, 9, 10, 12, 14 $R$

question 63

Short Answer

Suppose A = {2, 3, 6, 9, 10, 12, 14, 18, 20} and R is the partial order relation defined on A where xR y means x is a divisor or y .
(a) Draw the Hasse diagram for $R$ .
(b) Find all maximal elements.
(c) Find all minimal elements.
(d) Find $\operatorname { lub } ( \{ 2,9 \} )$ .
(e) Find $\operatorname { lub } ( \{ 3,10 \} )$ .
(f) Find $\operatorname { glb } ( \{ 14,10 \} )$ .

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Definitions:

Aversive Stimuli

Unpleasant or noxious stimuli which an organism seeks to avoid or escape.

Partial Reinforcement

A conditioning strategy wherein a reward is not administered every time the desired behavior is performed, making a behavior more resistant to extinction.

Continuous Reinforcement

A method of learning that entails giving a reward after every desired behavior.

Ratio Schedule

A schedule of reinforcement where a response is reinforced only after a specified number of responses have occurred.