ผลต่างระหว่างรุ่นของ "พูดคุย:Proof Hypercube 1"

รุ่นแก้ไขปัจจุบันเมื่อ 08:39, 28 ตุลาคม 2550

You say:

A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of  $h_{i}$ .

Is the word contain ambiguous?? I can see all the points

x

satisfying

x_{i}<0.5,\forall i

lie below any other halfspace. But I think none of a hyperplane

h_{i}

is completely contained in an other halfspace.

@@ แถว 1: / แถว 1: @@
-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>.
+You say:
-: 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.
+ 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 a hyperplane <math>h_i</math> is ''completely'' contained in an other halfspace.