As such , objects with large Hausdorff dimension also have large effective dimension .
Objects with small effective dimension have small Hausdorff dimension , but an object can have small Hausdorff but large effective dimension .
As such , objects with large Hausdorff dimension also have large effective dimension , and objects with small effective dimension have small Hausdorff dimension , but an object can have small Hausdorff but large effective dimension .