improved lower bound的用法和樣例：
例句
- Based on the results, we calculate a upper bound or a lower bound of the Hausdorff dimension of some self-affine sets.
利用它們可方便地求出某些自仿集維數的上界或下界。 - Input values outside the range are replaced by the lower bound replacement value, or the upper bound replacement value.
範圍之外的輸入值將由下界替換值或上界替換值進行替換。
