For the partial function $f : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { R }$ defined by $f ( m , n ) = \frac { 1 } { n ^ { 2 } - m ^ { 2 } }$ , determine its domain, codomain, domain of definition, and set of values for which it is undefined or whether it is a total function.

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The Answer of For the partial function $f : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { R }$ defined by $f ( m , n ) = \frac { 1 } { n ^ { 2 } - m ^ { 2 } }$ , determine its domain, codomain, domain of definition, and set of values for which it is undefined or whether it is a total function.

For the Partial Function f:Z×Z→Rf : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { R }f:Z×Z→R

For the Partial Function $f : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { R }$