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4

(All statements in this answer assume “usual circumstances”, whatever that means.) \thesubsection is defined as \thesection.\arabic{subsection}, so it will always print the current \thesection (which in your case seems to be \arabic{section}), a ., and the number of the subsection counter in arabic algarisms. But the subsection counter only steps when you ...

2

Since the figure-related graphs mustn't "float" (in the LaTeX-specific sense of the word), you probably shouldn't be using figure environments to begin with for those graphs. Instead, use minipage environments and \captionof{figure}{...} statements to create figure-like captions. Finally, for those theorems with more than one graph, issue the instruction \...

1

Just redefine the representation of the counter associated to the environment. \documentclass{article} \usepackage{amsthm} \theoremstyle{definition} \newtheorem{definition}{Definition} \renewcommand{\thedefinition}{\thesection} \begin{document} \section{First} \begin{definition} This is the definition in the first section \end{definition} \section{...

1

That is the usual behavior. The first number reflects the section number, in this case. The second number counts the occurrence of a definition within a section. This means that the first definition in the second section would be: Definition 2.1. The third definition in section 4 would be: Definition 4.3. What you want to get, if I understood you ...

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