AIM To investigate the ability of the preferential hyperacuity perimeter test to assess responsiveness to ranibizumab therapy for exudative age-related macular degeneration (AMD). METHODS Fourteen consecutive patients with newly diagnosed choroidal neovascularisation underwent a preferential hyperacuity perimeter metamorphopsia test (main outcome measures) 1 h before (baseline) and 1 h, 1 day...

We prove that the number of even parts and times are repeated have same distribution over integer partitions with a fixed perimeter. This refines Straub's analog Euler's Odd-Distinct partition theorem. generalize two concerned statistics to those part-difference less than d not congruent 1 modulo d+1 inequality, has similar flavor as Alder's ex-conjecture, prescribed Both our results proven ana...

The Petty projection inequality for sets of finite perimeter is proved. Our approach based on Steiner symmetrization. Neither the affine Sobolev nor functional Minkowski problem used in our proof. Moreover, perimeter, we prove with respect to

Let E be the ellipse with major and minor radii a and b respectively, and Pbe its perimeter, then P = lim 4 tan(p/n)(a + b + 2) Σ a2 cos2 (2k-2)Pi/n+ sin2 (2k-2)Pi/n; where n = 2m. So without considering the limit, it gives a reasonable approxi-mation for P, it means that we can choose n large enough such that the amountof error be less than any given small number. On the other hand, the form...