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33 Begg, R.B. (1985) Non-Survey Interregonal Input-Output Modelng, PhD thess, Unversty of Iowa. Cannng, P. & Z.Wang (25) A flexble mathematcal programmng model to estmate nterregonal nput-output accounts, Journal of Regonal Scence, 45(3), pp Isserman, A.M. (1977) The locaton quotent approach for estmatng regonal economc mpacts, Journal of the Amercan Insttute of Planners, 43, pp Kronenberg, T. (21) Constructon of regonal nput-output tables usng nonsurvey methods, Internatonal Regonal Scence Revew, 32, pp Lahr, M. & L. de Mesnard (24) Bproportonal technques n nput-output analyss: Table updatng and structural analyss, Economc Systems Research, 16(2), pp Leontef, W. & A. Strout (1963) Multregonal Input-Output Analyss, T. Barna(ed), Structural Interdependence and Economc Development, St. Martn s Press. Rchardson, H.W. (1985) Input-output and economc base multplers: Loong bacward and forward, Journal of Regonal Scence, 25(4), pp Rddngton, G., Gbson, H. & J. Anderson (26) Comparson of gravty model, survey and locaton quotent-based local area tables and multplers, Regonal Studes, 4(9), pp Robnson, M.H. & J.R. Mller (1988) Cross-haulng and nonsurvey nput-output models: some lessons from small-area tmber economes, Envronment and Plannng A, 2, pp (1996) (1967) (211)JILPT Dscusson Paper Seres 11-1 (27) 33
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n =3, 200 2 10 1 1 n =3, 2 n 3 x n + y n = z n x, y, z 3 a, b b = aq q a b a b b a b a a b a, b a 0 b 0 a, b 2 a, b (a, b) =1a b 1 x 2 + y 2 = z 2, (x, y) =1, x 0 (mod 2) (1.1) x =2ab, y = a 2 b 2, z =
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