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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* <math>S</math> satisfies all the properties of the field except distributivity. |
* <math>S</math> satisfies all the properties of the field except distributivity. |
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*<math>\exists x \in S, 0x\neq 0</math>. |
* <math>\exists x \in S, 0x\neq 0</math>. |
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Solution: |
Solution: |
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Revision as of 20:31, 4 October 2014
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Boris
Problem
Find a set [math]\displaystyle{ S }[/math] of two elements that satisfies the following:
- [math]\displaystyle{ S }[/math] satisfies all the properties of the field except distributivity.
- [math]\displaystyle{ \exists x \in S, 0x\neq 0 }[/math].
Solution:
