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𝐷𝑒𝑚𝑜𝑠𝑡𝑟𝑎𝑟 𝑠𝑖 𝑙𝑜𝑠 𝑠𝑖𝑔𝑢𝑖𝑒𝑛𝑡𝑒𝑠 𝑝𝑜𝑙𝑖𝑛𝑜𝑚𝑖𝑜𝑠 𝑠𝑜𝑛 𝑒𝑞𝑢𝑖𝑣𝑎𝑙𝑒𝑛𝑡𝑒𝑠:
𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) + (𝑦 + 𝑧’)
𝑄 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑥 + 𝑧’ + 𝑦
𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑖𝑐𝑜
𝑃 (𝑤, 𝑥, 𝑦, 𝑧)
𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) + (𝑦 + 𝑧’’)
𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥 + 𝑧’) + (𝑦 + 𝑧’’) −>> 𝑥’’ = 𝑥
= (𝑤𝑥 + 𝑥) + (𝑧’ + 𝑧’) + 𝑦 −>> 𝑙𝑒𝑦 𝑎𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑣𝑎
= 𝑥 + (𝑧’ + 𝑧’) + 𝑦 −>> 𝑙𝑒𝑦 𝑎𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑣𝑎
𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑥 + 𝑧’ + 𝑦
𝑃𝑜𝑟 𝑙𝑜 𝑡𝑎𝑛𝑡𝑜 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑄 (𝑤, 𝑥, 𝑦, 𝑧)
𝑷 𝒚 𝑸 𝒔𝒐𝒏 𝒆𝒒𝒖𝒊𝒗𝒂𝒍𝒆𝒏𝒕𝒆𝒔.
𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) ́ + (𝑦𝑧’) ́ 𝑤 ́
𝑪𝒊𝒓𝒄𝒖𝒊𝒕𝒐 𝑳ó𝒈𝒊𝒄𝒐
𝑻𝒂𝒃𝒍𝒂 𝒅𝒆 𝒍𝒂 𝒗𝒆𝒓𝒅𝒂𝒅.
𝑋 𝑌 𝑍 𝑊 𝑊𝑋 𝑋’’ 𝑍’ 𝑊’ (𝑋’’ + 𝑍’)’ (𝑌𝑍’)𝑊’ 𝑃(𝑊, 𝑋, 𝑌, 𝑍)
1 1 1 1 1 1 0 0 0 0 1
1 1 1 0 0 1 0 1 0 1 1
1 1 0 1 1 1 1 0 0 0 1
1 1 0 0 0 1 1 1 0 0 0
1 0 1 1 1 1 0 0 0 0 1
1 0 1 0 0 1 0 1 0 1 1
1 0 0 1 1 1 1 0 0 0 1
1 0 0 0 0 1 1 1 0 1 1
0 1 1 1 0 0 0 0 1 0 1
0 1 1 0 0 0 0 1 1 1 1
0 1 0 1 0 0 1 0 0 0 0
0 1 0 0 0 0 1 1 0 0 0
0 0 1 1 0 0 0 0 1 0 1
0 0 1 0 0 0 0 1 1 1 1
0 0 0 1 0 0 1 0 0 0 0
0 0 0 0 0 0 1 1 0 0 0

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Miguel yustiz

  • 1. 𝐷𝑒𝑚𝑜𝑠𝑡𝑟𝑎𝑟 𝑠𝑖 𝑙𝑜𝑠 𝑠𝑖𝑔𝑢𝑖𝑒𝑛𝑡𝑒𝑠 𝑝𝑜𝑙𝑖𝑛𝑜𝑚𝑖𝑜𝑠 𝑠𝑜𝑛 𝑒𝑞𝑢𝑖𝑣𝑎𝑙𝑒𝑛𝑡𝑒𝑠: 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) + (𝑦 + 𝑧’) 𝑄 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑥 + 𝑧’ + 𝑦 𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑖𝑐𝑜 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) + (𝑦 + 𝑧’’) 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥 + 𝑧’) + (𝑦 + 𝑧’’) −>> 𝑥’’ = 𝑥 = (𝑤𝑥 + 𝑥) + (𝑧’ + 𝑧’) + 𝑦 −>> 𝑙𝑒𝑦 𝑎𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑣𝑎 = 𝑥 + (𝑧’ + 𝑧’) + 𝑦 −>> 𝑙𝑒𝑦 𝑎𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑣𝑎 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑥 + 𝑧’ + 𝑦 𝑃𝑜𝑟 𝑙𝑜 𝑡𝑎𝑛𝑡𝑜 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑄 (𝑤, 𝑥, 𝑦, 𝑧) 𝑷 𝒚 𝑸 𝒔𝒐𝒏 𝒆𝒒𝒖𝒊𝒗𝒂𝒍𝒆𝒏𝒕𝒆𝒔. 𝑃 (𝑤, 𝑥, 𝑦, 𝑧) = 𝑤𝑥 + (𝑥’’ + 𝑧’) ́ + (𝑦𝑧’) ́ 𝑤 ́ 𝑪𝒊𝒓𝒄𝒖𝒊𝒕𝒐 𝑳ó𝒈𝒊𝒄𝒐
  • 2. 𝑻𝒂𝒃𝒍𝒂 𝒅𝒆 𝒍𝒂 𝒗𝒆𝒓𝒅𝒂𝒅. 𝑋 𝑌 𝑍 𝑊 𝑊𝑋 𝑋’’ 𝑍’ 𝑊’ (𝑋’’ + 𝑍’)’ (𝑌𝑍’)𝑊’ 𝑃(𝑊, 𝑋, 𝑌, 𝑍) 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0