The following exercises concern the partial order R, diagrammed below. f b Figure 15.3.1. d α с e A partial order is diagrammed. The element a is related to b and c, which are both related to d. The element c is also related to e. Both d and e are related to f.
The following exercises concern the partial order R, diagrammed below. f b Figure 15.3.1. d α с e A partial order is diagrammed. The element a is related to b and c, which are both related to d. The element c is also related to e. Both d and e are related to f.
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 79SE: sFor the following exercises, use the graph in Figure 32 to sketch the given transformations....
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Transcribed Image Text:The following exercises concern the partial order R, diagrammed below.
f
b
Figure 15.3.1.
d
а
с
e
A partial order is diagrammed. The element a is related to b and c, which are both
related to d. The element c is also related to e. Both d and e are related to f.
Transcribed Image Text:11. List the minimal and maximal elements of the partial order. Is there a
minimum? Maximum?
12. Give the lower bounds, upper bounds, least upper bound, and greatest
lower bound (when they exist) of the set {a,b,c}.
13. Does the partial order shown form a lattice? Why or why not?
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