In the reaction where a nitrogen-14 nuclide (\(^{14}{7}N\)) transforms into an oxygen-17 nuclide (\(^{17}{8}O\)) by absorbing an alpha particle (\(^{4}{2}\alpha\)) and emitting a proton (\(^{1}{1}p\)), you can write the nuclear equation as follows:
\[ ^{14}{7}N + ^{4}{2}\alpha \rightarrow ^{17}{8}O + ^{1}{1}p \]
This equation captures the absorption of an alpha particle by nitrogen-14, leading to the formation of oxygen-17 and the emission of a proton.