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Explore Stack InternalI have the most general 4th orderfollowing equation. It involves variables: Delta, n1, n2, n3, and fi. Delta, n1, n2, n3 are real and positive. fi is real too. I would like to have Delta n1 expressed as a function of n1Delta, n2, n3 and fi, so that I will be able to use Delta[n1 n1[Delta,n2,n3,fi] in other functions. What needs to be done to this end?
Delta^2 = 2*M^2*(n2^2 + 0.5*(n1^2 - 2*n1*n2^2*n3^2*Cos[fi] + n2^4*n3^4 + n3^4) + n2*Sqrt[n2^2 + 2*n1*n3^2*Cos[fi] - 2*n2^2*n3^4]) I have the most general 4th order equation. It involves variables: Delta, n1, n2, n3, and fi. Delta, n1, n2, n3 are real and positive. fi is real too. I would like to have Delta expressed as a function of n1, n2, n3 and fi, so that I will be able to use Delta[n1,n2,n3,fi] in other functions. What needs to be done to this end?
Delta^2 = 2*M^2*(n2^2 + 0.5*(n1^2 - 2*n1*n2^2*n3^2*Cos[fi] + n2^4*n3^4 + n3^4) + n2*Sqrt[n2^2 + 2*n1*n3^2*Cos[fi] - 2*n2^2*n3^4]) I have the following equation. It involves variables: Delta, n1, n2, n3, and fi. Delta, n1, n2, n3 are real and positive. fi is real too. I would like to have n1 expressed as a function of Delta, n2, n3 and fi, so that I will be able to use n1[Delta,n2,n3,fi] in other functions. What needs to be done to this end?
Delta^2 = 2*M^2*(n2^2 + 0.5*(n1^2 - 2*n1*n2^2*n3^2*Cos[fi] + n2^4*n3^4 + n3^4) + n2*Sqrt[n2^2 + 2*n1*n3^2*Cos[fi] - 2*n2^2*n3^4]) I have the most general 4th order equation. It involves variables: Delta, n1, n2, n3, and fi. Delta, n1, n2, n3 are real and positive. fi is real too. I would like to have Delta expressed as a function of n1, n2, n3 and fi, so that I will be able to use Delta[n1,n2,n3,fi] in other functions. What needs to be done to this end?
Delta^2 = 2*M^2*(n2^2 + 0.5*(n1^2 - 2*n1*n2^2*n3^2*Cos[fi] + n2^4*n3^4 + n3^4) + n2*Sqrt[n2^2 + 2*n1*n3^2*Cos[fi] - 2*n2^2*n3^4])