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          E L-LOVELY-H math7-1     IInd  6-8-11     IIIrd  24-1-12     IVth  21-4-12     Vth  20-8-12     VIth 10-9-12






          Tanima Dutta, Lovely Professional University                    fJekJh^7 L ;wo{g cbB ns/ :{bo; gqw/:

                              fJekJh^7L ;wo{g cbB ns/ :{bo; gqw/:                                 B'N

                        (Homogeneous Function and Euler’s Theorem)


                ftP/ t;s{ (Contents)

                T[d/P (Objectives)
                gq;sktBk (Introduction)

                    7H1  ;wo{g cbBL gfoGkPk (Homogeneous Function: Definition)
                    7H2  :{bo; gqw/: (Euler’s Theorem)
                    7H3  e'p^v'rb; T[sgkdB cbB (Cobb-Douglas Production Function)

                    7H4  ;hHJhHn?;H (;fEo gqfs;EkgB b'u) T[sgkdB cbB (The C.E.S. Production Function)
                    7H5  ;koKP (Summary)

                    7H6  Ppde'P (Keywords)
                    7H7  nfGnk; gqPB (Review Questions)
                    7H8  ;zdoG g[;seK (Further Readings)


                T[d/P (Objectives)

                fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L

                    •   ;wo{g cbB dh gfoGkPk ikDB ftZu.
                    •   :{bo; gqw/: B{z GbhGKs ;wMD bJh.
                    •   e'p^v'rb; T[sgkdB cbB dh ikDekoh bJh.

                    •   ;hHJhH;hH (;fEo gqfs;EkgB b'u) T[sgkdB cbB s'A ikD{ j'D bJh.

                gq;sktBk (Introduction)

                fJZe ftP/P gqeko d/ cbB fijV/ finkdkso gq:'r j[zd/ jB, ;wo{g cbB ejkT[Ad/ jB.
                :{bo; gqw/: dZ;dh j? fe id'A ;ko/ T[sgZsh d/ ;kXB fJZe fdZs/ j'J/ nB[gks ftZu tXkJ/ iKd/ jB
                sK Bshi/ ti'A T[sgkdB th T[;h nB[gks ftZu tZX ikJ/rk.
                :{bo; gqw/: dk nkofEe y/so ftZu ftP/P eoe/ tzv/ rJ/ y/so ftZu ftP/P wjZstg{oD ;EkB j?.
                T[sgkdB ftfGzB ;kXBK d/ ;z:[es ;zi'r d[nkok j[zdk j?.
                e'p^v'rb; T[sgkdB cbB  dk nkofEe y/so ftZu wjZstg{oD  ;EkB j?.  toswkB ftZu
                noEPk;soh e'p^v'rb; T[sgkdB cbB dk ftfGzB nkofEe y/soK ftZu gq:'r eoB bZr rJ/ jB.

                7H1 ;wo{g cbB L gfoGkPk (Homogeneous Function: Definition)

                noEPk;so ftZu finkdkso gq:'r j'D tkb/ fJZe ftP/P soQK d/ cbB B{z ;wo{g cbB efjzd/ jB.
                T[dkjoD ti'A,
                                             2
                                                 2
                                          f (x, y) = x  – y


                                           LOVELY PROFESSIONAL UNIVERSITY                                               107
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