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The recent development of methods for numerical analysis of the magnetic flux in electrical equipment has given rise to a need for an accurate characterization of magnetic hysteretic processes in core materials. In this investigation, the idea of the Everett function, which is an integral form of the Preisach density function, was applied to simulations of the hysteresis curves of core materials in use. The Everett function of various core materials was measured using a microcomputer-controlled hysteresis tracer, and a mathematical formulation of the function was obtained. The formula can predict the hysteresis curves of various materials with good accuracy.