| 1. | The Kronecker delta forms the multiplicative identity element of an incidence algebra.
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| 2. | Similarly, an identity element in a join semilattice is a least element.
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| 3. | The empty product ( ) is defined as the multiplicative identity element.
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| 4. | We get the identity element for convolution on functions of period 2?.
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| 5. | In other words, a monoid is a semigroup with an identity element.
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| 6. | The empty set is an identity element for the operation of union.
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| 7. | The sphere "'S "'is an identity element for the connected sum, meaning that.
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| 8. | And it has the hidden-identity element that's the core of " Cinderella ."
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| 9. | The identity element is represented by ( 0 : 1 : 1 ).
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| 10. | The identity element can also be written as " id ".
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