14-240/Tutorial-Sep30: Difference between revisions
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Find a set <math>S</math> of two elements that satisfies the following: |
Find a set <math>S</math> of two elements that satisfies the following: |
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(1) <math>S</math> satisfies all the properties of the field except distributivity. |
(1) <math>S</math> satisfies all the properties of the field except distributivity. |
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(2) <math>\exists x \in S, 0x\neq 0</math>. |
(2) <math>\exists x \in S, 0x\neq 0</math>. |
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Revision as of 20:24, 4 October 2014
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Boris
Challenge Problem
Find a set [math]\displaystyle{ S }[/math] of two elements that satisfies the following:
(1) [math]\displaystyle{ S }[/math] satisfies all the properties of the field except distributivity. (2) [math]\displaystyle{ \exists x \in S, 0x\neq 0 }[/math].
