The five departments in the Science Faculty played a round-robin table tennis tournament, in which every department played against every other department once. In each game there was a winner and a loser. A table of one-step and two-step dominances was prepared to summarise the results. Теam one-step dominances two-step dominances Botany (B) Chemistry (C) Geology (G) Physics (P) Zoology (Z) 3 Use the one-step and two-step dominance values to construct a one-step dominance matrix, clearly explaining the allocation of values for each team. Label the rows as Winners and the (a) columns as Losers. (b) Use the one-step and two-step dominance values to construct a two-step dominance matrix, clearly explaining the allocation of values for each team. Label the rows as Winners and the columns as Losers. Construct the final dominance matrix for this competition by adding together the one-step and two-step dominance matrices. (c) 2544-
The five departments in the Science Faculty played a round-robin table tennis tournament, in which every department played against every other department once. In each game there was a winner and a loser. A table of one-step and two-step dominances was prepared to summarise the results. Теam one-step dominances two-step dominances Botany (B) Chemistry (C) Geology (G) Physics (P) Zoology (Z) 3 Use the one-step and two-step dominance values to construct a one-step dominance matrix, clearly explaining the allocation of values for each team. Label the rows as Winners and the (a) columns as Losers. (b) Use the one-step and two-step dominance values to construct a two-step dominance matrix, clearly explaining the allocation of values for each team. Label the rows as Winners and the columns as Losers. Construct the final dominance matrix for this competition by adding together the one-step and two-step dominance matrices. (c) 2544-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Transcribed Image Text:The five departments in the Science Faculty played a round-robin table tennis tournament, in which
every department played against every other department once.
In each game there was a winner and a loser.
A table of one-step and two-step dominances was prepared to summarise the results.
Team
Botany (B)
Chemistry (C)
Geology (G)
Physics (P)
Zoology (Z)
one-step dominances two-step dominances
3
2
(a) Use the one-step and two-step dominance values to construct a one-step dominance matrix,
clearly explaining the allocation of values for each team. Label the rows as Winners and the
columns as Losers.
(b) Use the one-step and two-step dominance values to construct a two-step
dominance matrix, clearly explaining the allocation of values for each team. Label the rows
as Winners and the columns as Losers.
Construct the final dominance matrix for this competition by adding together the one-step
and two-step dominance matrices.
(c)
(d)
What is the finishing order in this competition?
Transcribed Image Text:(e)
Write in the results of every match in the table below.
Round
Participants
Result
Botany vs Geology
Physics vs Zoology
Chemistry vs Botany
2
Zoology vs Geology
Geology vs Chemistry
Physies vs Botany
Zoology vs Chemistry
4
Geology vs Physies
Chemistry vs Physics
Botany vs Zoology
(1)
Draw a directed graph which displays the results of this competition, with the
arrow pointing towards the loser of each game.
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