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Write up the transformation laws of the tensors: \( A^i_{jk} \) and \( B^m_{ijk} \\), and \( C^m \).

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JU-PHY2nd YearFinalMathematical PhysicsTensor AnalysisContra variant and covariant tensors (Topic Practice)JU-PHY - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
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Another Explanation (5): ```html
Tensor Transformation Law
\(A^i_{jk}\) \( \bar{A}^i_{jk} = \frac{\partial \bar{x}^i}{\partial x^p} \frac{\partial x^q}{\partial \bar{x}^j} \frac{\partial x^r}{\partial \bar{x}^k} A^p_{qr} \)
\(B^m_{ijk}\) \( \bar{B}^m_{ijk} = \frac{\partial \bar{x}^m}{\partial x^n} \frac{\partial x^p}{\partial \bar{x}^i} \frac{\partial x^q}{\partial \bar{x}^j} \frac{\partial x^r}{\partial \bar{x}^k} B^n_{pqr} \)
\(C^m\) \( \bar{C}^m = \frac{\partial \bar{x}^m}{\partial x^n} C^n \)
```