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Dale replied to the thread High School Why does continuity still feel weird?.The nice thing about that is that having a rigorous approach to infinitesimals allows you to correct some of the errors that people make... -
Dale reacted to jedishrfu's post in the thread High School Why does continuity still feel weird? with
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Infintesimals are part of the hyperreals and so basic arithmetic is allowed ie canceling like infintesimals. Hyperreal number field was... -
Dale reacted to jedishrfu's post in the thread High School Why does continuity still feel weird? with
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This may not be germane to the subject of this thread, but epsilon-delta proofs have been the bane of many calculus students, myself... -
Dale replied to the thread Is A.I. more than the sum of its parts?.I think that is as it should be. Software engineers have used the title "engineer" for decades. This is one of the important things that... -
Dale replied to the thread Is A.I. more than the sum of its parts?.Indeed. https://www.reuters.com/legal/litigation/judge-rules-both-sides-lawsuit-misused-ai-disqualifies-lawyers-2026-06-09/ -
Dale replied to the thread Back to School!.Welcome back @cnh1995 ! -
Dale replied to the thread Undergrad Ampère's mercury experiment and Aharonov-Bohm: same message?.Certainly. The potentials are often more direct, convenient, or easier. -
Dale replied to the thread Undergrad Ampère's mercury experiment and Aharonov-Bohm: same message?.I must be misunderstanding the geometry. The B field from the return currents seems to add, not cancel. Can you post an image or... -
Dale replied to the thread Graduate Spacing between metal sheet and dielectric radome for best RCS.What are RCS, RIS, HFSS -
Dale reacted to GiorgioPastore's post in the thread Graduate Musing on the Foundations of Statistical Mechanics with
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Not exactly. The statistical mechanics entropy is explicitly defined for finite-size systems. The properties of thermodynamic entropy...