Answer by egreg for non-breaking, normal-sized space after period
Essentially, ~ is a shorthand for \nobreakspace{} and \nobreakspace is defined as% latex.ltx, line 1614:\DeclareRobustCommand{\nobreakspace}{% \leavevmode\nobreak\ }In turn, \nobreak is the same as...
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Answer by Steven B. Segletes for non-breaking, normal-sized space after period
This demonstrates that the issue is not that the period looks like an end of sentence, but that ~, while non-breaking, is stretchable. If you don't want it to stretch, you can place it in an \mbox, or...
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I know that a backslash will produce a normal-sized space after a period i.e.\ like thisand I know that a tilde will produce a non-breaking space, as in Figure~1.What if I want a non-breaking space...
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