# Dictionary:Euler’s homogeneity equation

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where is the source location whose magnetic field is measured at ; *B* is the regional value of the total field; and is **Euler’s structural index**. is a measure of the rate of field change with distance. For example, the magnetic field of a sphere falls off as the cube , of a pipe as the square , of a thin dike linearly , for a more or less linear basement fault or dyke , of a semi-infinite body, not at all . An Euler depth estimate increases with increased . Real bodies are simulated by a superposition of bodies.