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i have written a sentence. however, i am not sure weather it is right or wrong. please check and revise my sentence.
the sentence :
"From these numerical studies we can conclude that when diffusion occurs in the infinite percolation cluster at criticality, the fractal dimension of the random walk dw is near 2.84 and 4 for two and three dimensions respectively, while the diffusion is averaged over all percolation clusters at the threshold, dw is near 3 and 5 for d = 2 and 3 respectively. "
How about the usage of the word of "respectively"? is it right? I want to say that in one case it yeilds dw = 2.84 for two dimension and dw = 4 for three dimensions, in another case, it yeilds dw = 3 for two dimension and dw = 5 for three dimensions.
thanks a lot.