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A smooth $\\gamma: R\\to R^{n+1,n}$ is {\\it isotropic} if $\\gamma, \\gamma_x, \\ldots, \\gamma_x^{(2n)}$ are linearly independent and the span of $\\gamma, \\ldots, \\gamma_x^{(n-1)}$ is isotropic. Given an isotropic curve, we show that there is a unique up to translation parameter such that $(\\gamma_x^{(n)}, \\gamma_x^{(n)})=1$ (we call such parameter the isotropic parameter) and there also exists a natural moving frame. 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