Latex Theorem

Latex Theorem




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Latex Theorem
[LaTeX] Theorems & Proofs category: Writing | course: LaTeX Math | difficulty:

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Until now we’ve been doing everything inside math environments – which isn’t weird for a LaTeX Math course – but now it’s time to step out of it, and look at mathematical concepts that don’t necessarily need to be formulas or equations. I’m talking about all of these: theorems , lemmas , corollaries , remarks , definitions , and proofs .
To create these different types of mathematical paragraphs, a single command is available in standard LaTeX. This command simply creates an environment for this type, and you can use some extra arguments to customize them. The syntax is:
\newtheorem{ environment name }{ environment text }[ reset counter ]
The first argument specifies the name of the environment you want to use. The standard name, such as theorem or lemma will do.
The second argument specifies what text is automatically displayed at the start of the environment. Again, the standard text (in your document’s language) will do.
The third argument is optional, and requires the name of an existing counter. Every theorem environment receives its own independent counter, but every time the reset counter is incremented, this theorem counter is reset. This way, for example, you can number your theorems starting from one in every section, by using section as the reset counter.
This way, you can create all those mathematical constructs I mentioned at the start of the chapter. Simply define your theorem, and start a new environment of the same name. Additionally, every theorem environment can receive an optional argument that specifies the title of your theorem.
Because each theorem environment receives its own counter, you can use those as reset counters as well in subsequent new theorems you define!
All these environments are typeset the same: the environment text , and optionally the title , are bold, while all the text inside is in italics. If you want to modify this, you’ll need to use the last of the AMS packages: amsthm ( AMS theorems ). This provides two important functionalities: unnumbered theorem environments, and predefined styles for each type of environment.
To create unnumbered environments, simply use the star variation of the command:
\newtheorem*{ name }{ text }[ reset ]
To give a theorem environment a certain style, use this command before you define the theorem:
The AMS theorems package has predefined styles for every type, which are often exactly what you need, and are in some way the universal notation.
Proofs are essentially no different from everything discussed thus far – they are also created by simply using the proof environment – but are naturally supported by the AMS package. This means you don’t have to define them yourself, and the already have the correct style. On top of that, a square is added at the end of every proof. This is the QED symbol that demonstrates a proof is complete. To change this, renew the \qedsymbol command.


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I have a problem with theorem numbering in LaTeX. I can make it number by subsection, e.g
for the first theorem in the second subsection of the first section. But I need it to show me
only the numbers of the subsection and the theorem, but not the section number, like this:
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It falls back to sorting by highest score if no posts are trending.
Putting the following code in the preamble seems to have the desired effect:
I don't understand why you want this particular theorem numbering system, but the code does what you want:

There's no easy way to do this. The AMS Theorem Package only provides a way to control when numbering resets (section, subsection), if it's tied to other environments (corollary, lemma) and number order ("1.1 Theorem" vs. "Theorem 1.1").
Theorem's get their numbering from the \thesection or \thesubsection command. You can redefine the \thesubsection command to get the numbering you want, but that will also affect everything else that uses \thesubsection .
In a slightly less hacky way, you may create a fake counter that is reset with subsection , and redefine its \the to your liking:
Insert this line in your preamble (or anywhere else before the \newtheorem statement):
This will reset the numbering command of the thm environment to ignore the section numbers (when numbering theorems) and display only the subsection numbers and theorem numbers. Section numbers will still be displayed in front of section headings, just not the theorems included within the sections. So, just as you describe, the first theorem in the second subsection of the first section will be numbered 2.1.
Alternatives to \arabic include:
You can use this command for renew command section and subsection and theorem's and ...
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I don't know why this doesn't work:
I'm a beginner in LaTeX and I'm trying a lot to understand this.
Remark 1: I've installed Texmaker and Texlive with sudo apt-get install texlive-full
Remark 2: My OS is Ubuntu and my latex editor is Texmaker.
Remark 3 I'm studying using this site but I used also the documentation of the package amsthm . (in the documentation we should use lem instead of lemma command)
amsthm is a package to create theorems and theorem-related environments. It does not do this by default. So, you could issue
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