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ii) Interestingly, the string obeys two additional equations: [ begin{array}{l} left(frac{delta f}{delta L} ight)_{T}=propto_{1} T left(frac{delta f}{delta T} ight)_{L}=propto_{2} L end{array} ]

ii) Interestingly, the string obeys two additional equations: \\[ \\begin{array}{l} \\left(\\frac{\\delta f}{\\delta L}\ ight)_{T}=\\propto_{1} T \\\\ \\left(\\frac{\\delta f}{\\delta T}\ ight)_{L}=\\propto_{2} L \\end{array} \\]

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