We give a nonstandard variant of Jordan’s proof of the Jordan curve theorem which is free of the defects his contemporaries criticized and avoids the epsilontic burden of the classical proof. The proof is selfcontained, except for the Jordan theorem for polygons taken for granted.

a f(x) dx (which one would use for instance to compute the work required to move a particle from a to b). For simplicity we shall restrict attention here to functions f : R → R which are continuous on the entire real line (and similarly, when we come to differential forms, we shall only discuss forms which are continuous on the entire domain). We shall also informally use terminology such as “i...

in this research, efficiency of iranian forest and rangeland decision making unit was assessed using non-parametric method. inputs and outputs determined by field research and with applying a delphi method the final input and output variables selected. forty five wood-producing units (forestry plans) in three northern iranian province were studied using data envelopment analysis. the efficiency...

I shortly review the present status of the theoretical estimates of ε/ε . I consider a few aspects of the theoretical calculations which may be relevant in understanding the present experimental results. I discuss the role of higher order chiral corrections and in general of non-factorizable contributions for the explanation of the ∆I = 1/2 selection rule in kaon decays and ε/ε . Lacking reliab...