Translating fromordinary language. Express the followingwithout words, intermsofthestatementsPandQandthelogicalconnectives ${?}^{{?}^{?}},vv,$not,$==>,$lArr$=,$ or $>.$ a$)$PnorQ$.$ b$)$PwhenQ$.$ c$)$P ifandonlyifQ. d$)$PexactlywhenQ$.$ e$)$P$.$ Therefore,Q$.$ f$)$P isnecessaryforQ. g$)$P isnecessaryandsufficientfor $Q.$ h$)$ PwheneverQ. i$)$P$,$ butnotQ. j$)$ PunlessQ.