since dmax(x,G ∪ H) ≥ dmax(x,H) > a

since dmax(x,G ∪ H) ≥ dmax(x,H) > a for all x ∈ G and
dmax(x,G ∪ H) ≥ dmax(x,G) > a for all x ∈ H. Thus minimax
linkage will always merge clusters within a group Ci before
merging a cluster G ⊂ Ci with a subset not contained in Ci. This
establishes that at some merge in the algorithm, Ci is formed.
Now d(Ci,Cj) > a and h(Ci) ≤ a, so cutting at height a gives
precisely the clustering C1, . . . ,Ck. Because this is a k cluster
solution, this state is reached after n− k merges.

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since dmax(x,G ∪ H) ≥ dmax(x,H) > a for all x ∈ G anddmax(x,G ∪ H) ≥ dmax(x,G) > a for all x ∈ H. Thus minimaxlinkage will always merge clusters within a group Ci beforemerging a cluster G ⊂ Ci with a subset not contained in Ci. Thisestablishes that at some merge in the algorithm, Ci is formed.Now d(Ci,Cj) > a and h(Ci) ≤ a, so cutting at height a givesprecisely the clustering C1, . . . ,Ck. Because this is a k clustersolution, this state is reached after n− k merges.

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Results (Indonesian) 2:[Copy]

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sejak dmax (x, G ∪ H) ≥ dmax (x, H)> untuk semua x ∈ G dan
dmax (x, G ∪ H) ≥ dmax (x, G)> untuk semua x ∈ H. Dengan demikian minimax
linkage akan selalu menggabungkan cluster dalam kelompok Ci sebelum
penggabungan cluster G ⊂ Ci dengan subset tidak terdapat dalam Ci. Ini
menetapkan bahwa pada beberapa bergabung dalam algoritma, Ci terbentuk.
Sekarang d (Ci, Cj)> dan h (Ci) ≤, jadi memotong di ketinggian memberikan
justru C1 clustering,. . . , Ck. Karena ini adalah klaster ak
solusi, keadaan ini tercapai setelah penggabungan k n.

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Results (Indonesian) 3:[Copy]

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