Products of fractional ideals are again fractional ideals, since if A𝛼⊆R and B𝛽⊆R, then (AB)(𝛼𝛽)⊆R.

Oh, yesss, he muttered in a mousy Germanic accent, hunching over and twiddling his fingers anxiously.

“You could've trusted me,” Pete gently chastised. “I can handle it.” He sat on the edge of her bed. “I was afraid to, honey. I know how stressed you've been with the camp […] ”

This guide to the use of surface analysis techniques, now in its second edition, has expanded to include more techniques, current applications and updated references. It outlines the application of surface analysis techniques to a broad range of studies in materials science and engineering.