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 Dec 13 comment Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. i wrote something but i think the reasoning is not sound, can you help me with proving at least one inequality? Dec 13 suggested rejected edit on Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. Dec 13 comment Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. which 'first' inequality are you talking about? also are you sure your subscripts are consistent with the question? Dec 13 revised Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. added 5 characters in body Dec 13 revised Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. added 18 characters in body; edited title Dec 13 comment Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. ok i wrote it down. Dec 13 revised Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. added 426 characters in body Dec 13 comment Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. I have already, i am just too lazy to write it down. Dec 13 asked Is $\sup_n\sup_l a_{n,l} = \sup_l \sup_n a_{n,l}$? Prove or disprove. Dec 13 accepted Prove that the set of all indirect isometries (reflections and glide reflections) is not a group. Dec 13 awarded Commentator Dec 13 comment Prove that the set of all indirect isometries (reflections and glide reflections) is not a group. i guess you are saying that two reflections make a rotation/translation and since they are not in the group its not closed under composition. Is that what you are suggesting? Dec 13 asked Prove that the set of all indirect isometries (reflections and glide reflections) is not a group. Dec 12 comment What kind of isometry is a composition of a glide reflection with itself? Justify great i see now, thanks! Dec 12 accepted What kind of isometry is a composition of a glide reflection with itself? Justify Dec 12 comment What kind of isometry is a composition of a glide reflection with itself? Justify this is more or less correct if I understand your idea correctly(unless you missed the word 'GLIDE REFLECTION') but I need to prove that composition of glide reflection with itself is a translation NOT that two reflections make a translation (that is indeed a very basic result) Dec 12 comment What kind of isometry is a composition of a glide reflection with itself? Justify yeah i checked geometrically, i am trying to solve it algebraically as well by using the fact that Mk composed with Tab = Tab composed with Mk where AB is parallel to the line of reflection k. Tab is a translation and Mk is a reflection across line k AND Mk composed with Tab is glide reflection. Dec 12 asked What kind of isometry is a composition of a glide reflection with itself? Justify Dec 12 awarded Scholar Dec 12 comment Construct two chords of equal length through points A and B (two arbitrary points INSIDE a circle) that are perpendicular to each other. Thanks! I really appreciate it, helped a lot!