ผลต่างระหว่างรุ่นของ "พูดคุย:Proof Hypercube 1"
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Jung (คุย | มีส่วนร่วม) |
Jung (คุย | มีส่วนร่วม) |
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แถว 3: | แถว 3: | ||
A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of <math>h_i</math>. | A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of <math>h_i</math>. | ||
− | : Is the word '''contain''' ambiguous?? I can see all the points <math>x</math> satisfying <math>x_i < 0.5, \forall i</math> lie below any other halfspace. But I think none of <math>h_i</math> is ''completely'' contained in an other halfspace. | + | : Is the word '''contain''' ambiguous?? I can see all the points <math>x</math> satisfying <math>x_i < 0.5, \forall i</math> lie below any other halfspace. But I think none of a hyperplane <math>h_i</math> is ''completely'' contained in an other halfspace. |
รุ่นแก้ไขเมื่อ 05:33, 10 เมษายน 2550
You say:
A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of .
- Is the word contain ambiguous?? I can see all the points satisfying lie below any other halfspace. But I think none of a hyperplane is completely contained in an other halfspace.