Research Discussion Paper – 1974 Equation (A.53)

Δ   X N = L 1 (           ) ( W E ( 1 − T Y ) P N ) [ W E • + t Y • − P N • ] + L 2 (           ) ( P T P N [ P T • − P N • ] − G 1 (           ) ( W E ( 1 + T P ) P N ( 1 − T I ) ) [ W E • + t P • − P N • − t I • ] − G 2 (           ) ( P T P N ) [ P T • − P N • ] − G 3 ( ⋅ ) ( Q )   Q • Setting   L 1 (           ) ( W E ( 1 − T Y ) P N ) = f L 2 (           ) ( P T P N ) = g G 1 (           ) ( W E ( 1 + T P ) P N ( 1 − T I ) ) = − h G 2 (           ) ( P T P N ) = − i G 3 (           ) ( Q ) = j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacqqHuo arcaaMc8Uaamiwaiaad6eacqGH9aqpcaWGmbWaaSbaaSqaaiaaigda aeqaaOWaaeWaaeaacaaMc8UaaGPaVlaaykW7caaMc8UaaGPaVdGaay jkaiaawMcaamaabmaabaWaaSaaaeaacaWGxbGaamyramaabmaabaGa aGymaiabgkHiTiaadsfacaWGzbaacaGLOaGaayzkaaaabaGaamiuai aad6eaaaaacaGLOaGaayzkaaWaamWaaeaadaWfGaqaaiaadEfacaWG fbaaleqabaGaeyOiGClaaOGaey4kaSYaaCbiaeaacaWG0bGaamywaa Wcbeqaaiabgkci3caakiabgkHiTmaaxacabaGaamiuaiaad6eaaSqa beaacqGHIaYTaaaakiaawUfacaGLDbaaaeaacqGHRaWkcaWGmbWaaS baaSqaaiaaikdaaeqaaOWaaeWaaeaacaaMc8UaaGPaVlaaykW7caaM c8UaaGPaVdGaayjkaiaawMcaamaabeaabaWaaSaaaeaacaWGqbGaam ivaaqaaiaadcfacaWGobaaaaGaayjkaaWaamWaaeaadaWfGaqaaiaa dcfacaWGubaaleqabaGaeyOiGClaaOGaeyOeI0YaaCbiaeaacaWGqb GaamOtaaWcbeqaaiabgkci3caaaOGaay5waiaaw2faaaqaaiabgkHi TiaadEeadaWgaaWcbaGaaGymaaqabaGcdaqadaqaaiaaykW7caaMc8 UaaGPaVlaaykW7caaMc8oacaGLOaGaayzkaaWaaeWaaeaadaWcaaqa aiaadEfacaWGfbWaaeWaaeaacaaIXaGaey4kaSIaamivaiaadcfaai aawIcacaGLPaaaaeaacaWGqbGaamOtamaabmaabaGaaGymaiabgkHi TiaadsfacaWGjbaacaGLOaGaayzkaaaaaaGaayjkaiaawMcaamaadm aabaWaaCbiaeaacaWGxbGaamyraaWcbeqaaiabgkci3caakiabgUca RmaaxacabaGaamiDaiaadcfaaSqabeaacqGHIaYTaaGccqGHsislda WfGaqaaiaadcfacaWGobaaleqabaGaeyOiGClaaOGaeyOeI0YaaCbi aeaacaWG0bGaamysaaWcbeqaaiabgkci3caaaOGaay5waiaaw2faaa qaaiabgkHiTiaadEeadaWgaaWcbaGaaGOmaaqabaGcdaqadaqaaiaa ykW7caaMc8UaaGPaVlaaykW7caaMc8oacaGLOaGaayzkaaWaaeWaae aadaWcaaqaaiaadcfacaWGubaabaGaamiuaiaad6eaaaaacaGLOaGa ayzkaaWaamWaaeaadaWfGaqaaiaadcfacaWGubaaleqabaGaeyOiGC laaOGaeyOeI0YaaCbiaeaacaWGqbGaamOtaaWcbeqaaiabgkci3caa aOGaay5waiaaw2faaiabgkHiTiaadEeadaWgaaWcbaGaaG4maaqaba GcdaqadaqaaiabgwSixdGaayjkaiaawMcaamaabmaabaGaamyuaaGa ayjkaiaawMcaaiaaykW7daWfGaqaaiaadgfaaSqabeaacqGHIaYTaa aakeaacaqGtbGaaeyzaiaabshacaqG0bGaaeyAaiaab6gacaqGNbGa aGPaVlaadYeadaWgaaWcbaGaaGymaaqabaGcdaqadaqaaiaaykW7ca aMc8UaaGPaVlaaykW7caaMc8oacaGLOaGaayzkaaWaaeWaaeaadaWc aaqaaiaadEfacaWGfbWaaeWaaeaacaaIXaGaeyOeI0IaamivaiaadM faaiaawIcacaGLPaaaaeaacaWGqbGaamOtaaaaaiaawIcacaGLPaaa cqGH9aqpcaWGMbaabaGaamitamaaBaaaleaacaaIYaaabeaakmaabm aabaGaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7aiaawIcacaGLPaaa daqadaqaamaalaaabaGaamiuaiaadsfaaeaacaWGqbGaamOtaaaaai aawIcacaGLPaaacqGH9aqpcaWGNbaabaGaam4ramaaBaaaleaacaaI XaaabeaakmaabmaabaGaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7ai aawIcacaGLPaaadaqadaqaamaalaaabaGaam4vaiaadweadaqadaqa aiaaigdacqGHRaWkcaWGubGaamiuaaGaayjkaiaawMcaaaqaaiaadc facaWGobWaaeWaaeaacaaIXaGaeyOeI0IaamivaiaadMeaaiaawIca caGLPaaaaaaacaGLOaGaayzkaaGaeyypa0JaeyOeI0IaamiAaaqaai aadEeadaWgaaWcbaGaaGOmaaqabaGcdaqadaqaaiaaykW7caaMc8Ua aGPaVlaaykW7caaMc8oacaGLOaGaayzkaaWaaeWaaeaadaWcaaqaai aadcfacaWGubaabaGaamiuaiaad6eaaaaacaGLOaGaayzkaaGaeyyp a0JaeyOeI0IaamyAaaqaaiaadEeadaWgaaWcbaGaaG4maaqabaGcda qadaqaaiaaykW7caaMc8UaaGPaVlaaykW7caaMc8oacaGLOaGaayzk aaWaaeWaaeaacaWGrbaacaGLOaGaayzkaaGaeyypa0JaamOAaaaaaa@3D59@