#### Optimum choice of the make-up ball sizes for maximum ...

For a single size of make-up ball, the mass fractions in the mill within the size ranges are calculated from: (11) m k = d k u 4 − Δ − d k l 4 − Δ d max 4 − Δ − d min 4 − Δ where d k u and d k l represent the upper and lower boundaries of the ball size interval k, d max is the largest ball size in the mill.

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