Although there certainly were still tyrants in some Persian-held eastern Greek states in 480, some improvement on arbitrary one-man government is surely implied.
In terms of our notation:β(r)=infρ x, p)⩾r infX∈Tx(M), ‖X‖=1(Ricc−HessV)(X, X), whereρ x, p) is the distance betweenxand an arbitrary fixed pointp∈M, the improvement can be roughly stated as follows.
Then the sequence { x n } converges strongly to Π Ω x 0, where Π Ω is the generalized projection from E onto Ω. Remark 2.3 Since the index set Δ is arbitrary, Corollary 2.2 is an improvement of the corresponding results in Kim [25].
I need a better explanation about why this threshold is an improvement over an arbitrary correlation threshold.
To our knowledge, this is the first attempt to measure the costs of the time spent on exercise, and the model seems to be an improvement over the arbitrary assumptions used in earlier economic evaluations.
Another improvement that does not require arbitrary restrictions of the huge initial identifier space was proposed in [11].
The Council group said the commission, in what they described as a slow and arbitrary review process, delayed and even derailed improvements to parks or public property over aesthetic questions they considered petty.
In reports submitted to the review, many independent Chinese groups and international organizations have deplored what they say is the continued use of arbitrary powers to stifle dissent, despite some improvements in China's legal procedures.
Some physicists tried to circumvent the infinities by more-or-less arbitrary prescriptions, others worked on transformations and improvements of the theoretical framework.
The definition of a boundary between the improvement 'intervention' and the 'context' is relatively arbitrary.
