<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%% \section{Problems and Questions}
\section{\texorpdfstring{Váº¥n Ä‘á» thÆ°á»ng gáº·p}{Van de thuong gap}}

%% \subsection{Known Limitations}
\subsection{\texorpdfstring{Giá»›i háº¡n cá»§a gÃ³i}{Gioi han cua goi} ntheorem}


\begin{itemize}
 \item
%%   Since |ntheorem.sty| uses the |.aux| file for storing
%%   information about the positions of endmarks, \LaTeX\ must be
%%   run twice for correctly setting the endmarks.
  |ntheorem| dÃ¹ng táº­p tin |.aux| Ä‘á»ƒ lÆ°u thÃ´ng tin vá» dáº¥u káº¿t thÃºc,
  do Ä‘Ã³, cáº§n biÃªn dá»‹ch tÃ&nbsp;i liá»‡u Ã­t nháº¥t hai láº§n Ä‘á»ƒ cÃ¡c dáº¥u
  káº¿t thÃºc Ä‘Æ°á»£c Ä‘áº·t Ä‘Ãºng vá»‹ trÃ­.
 \item
%%   Since |ntheorem.sty| uses the |.aux| file for storing
%%   information about lists in the |.thm| file, a minimum of
%%   two runs is needed. If theorems move in any of these
%%   runs up to five runs can be needed to generate correct lists.
	CÅ©ng do sá»­ dá»¥ng táº­p tin |.aux| Ä‘á»ƒ lÆ°u thÃ´ng tin vá» danh sÃ¡ch
	trong táº­p tin |.thm|, cáº§n thÃªm Ã­t nháº¥t hai láº§n biÃªn dá»‹ch ná»¯a.
	Viá»‡c di chuyá»ƒn cÃ¡c |THM| cÃ³ thá»ƒ cáº§n tá»›i 5 láº§n biÃªn dá»‹ch
	Ä‘á»ƒ cÃ³ danh sÃ¡ch |THM| Ä‘Ãºng Ä‘áº¯n.
 \item
%%   Since we need to expand the optional argument of theorems
%%   in various ways for the lists, we decided to copy the text verbatim
%%   into the |.thm| file. Thus, if you use things like |\thesection|
%%   etc., the list won't show the correct text. Therefore you shouldn't
%%   use any command that needs to be expanded.
	GÃ³i xá»­ lÃ½ pháº§n tÃªn riÃªng cá»§a |THM| (tham sá»‘ bá»• sung khi gá»i mÃ´i trÆ°á»ng)
	theo vÃ&nbsp;i cÃ¡ch khÃ¡c nhau trong danh sÃ¡ch, do Ä‘Ã³, Ä‘Ã£ sao chÃ©p nguyÃªn xi,
	khÃ´ng triá»ƒn khai (|expand|) pháº§n tham sá»‘ bá»• sung Ä‘Ã³ vÃ&nbsp;o táº­p tin |.thm|.
	Há»‡ quáº£ lÃ&nbsp;, náº¿u báº¡n dÃ¹ng cháº³ng háº¡n lá»‡nh |\thesection| bÃªn trong pháº§n tÃªn
	riÃªng thÃ¬ káº¿t quáº£ sáº½ khÃ´ng nhÆ° Ã½. Báº¡n khÃ´ng nÃªn dÃ¹ng báº¥t ká»³ lá»‡nh gÃ¬
	trong pháº§n tÃªn riÃªng |THM|!
 \item
%%   In nested environments ending at the same time,
%%   only the endmark for the inner environment is set, as the following
%%   example shows:
	Náº¿u cÃ¡c |THM| lá»“ng nhau káº¿t thÃºc á»Ÿ cÃ¹ng thá»i Ä‘iá»ƒm,
	|ntheorem| chá»‰ láº­p dáº¥u káº¿t thÃºc cho mÃ´i trÆ°á»ng sÃ¢u nháº¥t (|level| cao nháº¥t)
	Cháº³ng háº¡n
\begin{example}
  \begin{Lemma}
   Some text.
   \begin{Proof}
     The Proof
   \end{Proof}
  \end{Lemma}
\end{example}
%%  yields to
sáº½ Ä‘Æ°a tá»›i káº¿t quáº£ sau

\begin{thmbox}
 \begin{Lemma}
   Some text.
   \begin{Proof} The Proof \end{Proof}
 \end{Lemma}
\end{thmbox}

%%  You can handle this by specifying something invisible after the end
%%  of the inner theorem. Then the endmark for the outer theorem is
%%  set in the next line:
Báº¡n cÃ³ thá»ƒ vÆ°á»£t qua nhÆ°á»£c Ä‘iá»ƒm nÃ&nbsp;y, báº±ng cÃ¡ch thÃªm má»™t ná»™i dung áº©n
sau khi káº¿t thÃºc |THM| bÃªn trong, khi Ä‘Ã³, |THM| bÃªn ngoÃ&nbsp;i sáº½ cÃ³ dáº¥u
káº¿t thÃºc nhÆ° Ã½. Quan sÃ¡t vÃ­ dá»¥ sau Ä‘Ã¢y:
\begin{example}
  \begin{Lemma}
   Some text.
   \begin{Proof}
   	The Proof
   \end{Proof}~
  \end{Lemma}
\end{example}
%%  yields to
káº¿t quáº£ lÃ&nbsp;

\begin{thmbox}
 \begin{Lemma}
  Some text.
  \begin{Proof} The Proof \end{Proof}~
 \end{Lemma}
\end{thmbox}

 \item
%%  Document option |fleqn| is problematic: |fleqn| handles
%%   equations not by |$$| but by lists (check what happens for
	Sá»­ dá»¥ng tÃ¹y chá»n |fleqn| khi gá»i lá»›p tÃ&nbsp;i liá»‡u cÃ³ thá»ƒ sinh ra
	ráº¯c rá»‘i. LÃ½ do lÃ&nbsp; tuá»³ chá»n |fleqn| Ä‘iá»u khiá»ƒn cÃ¡c phÆ°Æ¡ng trÃ¬nh
	khÃ´ng pháº£i bá»Ÿi |$$| mÃ&nbsp; bá»Ÿi danh sÃ¡ch (thá»­ kiá»ƒm tra xem Ä‘iá»u
	gÃ¬ xáº£y ra náº¿u báº¡n dÃ¹ng
\begin{example}
  \begin{theorem} \[ displaymath \] \end{theorem}
\end{example}
%%   in standard \LaTeX:
%%   The displaymath is \emph{not} set in an own line).
	trong \LaTeX{} chuáº©n: ná»™i dung |displaymath| sáº½ khÃ´ng Ä‘Æ°á»£c Ä‘áº·t á»Ÿ dÃ²ng riÃªng.
%%   Also, for long formulas, the equation number and the endmark are
%%   smashed into the formula at the right text margin.
	CÅ©ng nhÆ° váº­y, vá»›i cÃ´ng thá»©c dÃ&nbsp;i, chá»‰ sá»‘ phÆ°Æ¡ng trÃ¬nh vÃ&nbsp; dáº¥u káº¿t thÃºc
	cÃ³ thá»ƒ sáº½ gáº§n cÃ´ng thá»©c hÆ¡n so vá»›i bÃ¬nh thÆ°á»ng.
 \item
%%  Naturally, |ntheorem.sty| will not work correctly in
%%   combination with other styles which change the handling
%%   of
	Má»™t cÃ¡ch tá»± nhiÃªn, |ntheorem| khÃ´ng lÃ&nbsp;m viá»‡c cÃ¹ng vá»›i cÃ¡c kiá»ƒu (gÃ³i)
	liÃªn quan Ä‘áº¿n
  \begin{enumerate}
%%    \item theorem-like environments, or 
%%    \item environments concerned with the handling of endmarks, e.g.
%%      |\[...\]|, |eqnarray|, etc.
	\item xá»­ lÃ½ mÃ´i trÆ°á»ng |THM| tá»±a Ä‘á»‹nh lÃ½,
	\item xá»­ lÃ½ dáº¥u káº¿t thÃºc (vÃ­ dá»¥ |\[...\]|, |eqnarray|,\ldots)
  \end{enumerate}
 \item
%%  |ntheorem.sty| is compatible with Frank Mittelbach's
%%   |theorem.sty|, which is the most widespread style for setting
%%   theorems.
	|ntheorem| khÃ´ng tÆ°Æ¡ng thÃ­ch vá»›i gÃ³i |theorem| cá»§a Frank Mittelbach,
	lÃ&nbsp; má»™t gÃ³i dÃ¹ng Ä‘á»ƒ biá»ƒu diá»…n |THM| ráº¥t phá»• biáº¿n.

%%   It cannot be used \emph{with} |theorem.sty|, but it can be
%%   used instead of it.
	GÃ³i |ntheorem| khÃ´ng thá»ƒ dÃ¹ng chung vá»›i gÃ³i |theorem|,
	nhÆ°ng cÃ³ thá»ƒ dÃ¹ng thay cho gÃ³i |theorem|.
\end{itemize}

%% \subsection{Known ``Bugs'' and Problems}
\subsection{\texorpdfstring{CÃ¡c BUG Ä‘Ã£ biáº¿t}{Cac BUG da biet}}


\begin{itemize}
%%  \item Ending a theorem \emph{directly} after the text, e.g.
	\item Khi káº¿t thÃºc mÃ´i trÆ°á»ng |THM| ngay sau ná»™i dung,
	dáº¥u káº¿t thÃºc sáº½ bá»‹ bá» qua. VÃ­ dá»¥
\begin{example}
  \begin{Lemma} Lemma\end{Lemma}
\end{example}
%%  suppresses the endmark:
sáº½ sinh ra

\begin{thmbox}
  \begin{Lemma} Lemma\end{Lemma}
\end{thmbox}

%%   Therefore a space or a newline should be inserted 
%%   before |\end{...}|.
	VÃ¬ váº­y, Ã­t nháº¥t má»™t khoáº£ng tráº¯ng hoáº·c dáº¥u ngáº¯t dÃ²ng
	cáº§n pháº£i cÃ³ trÆ°á»›c |\end{...}|.
	NgoÃ&nbsp;i ra, trÆ°á»›c |\end{...}| khÃ´ng Ä‘Æ°á»£c lÃ&nbsp; dÃ²ng tráº¯ng.
%%  \item With theoremstyle break, if the linebreak would cause
%%   ugly linebreaking in the following text, it is suppressed.
\item
	Vá»›i kiá»ƒu |THM| |break|, náº¿u viá»‡c ngáº¯t dÃ²ng sau |header| lÃ&nbsp;m
	cho pháº§n ná»™i dung tiáº¿p theo ``xáº¥u xÃ­'' (theo cÃ¡ch hiá»ƒu cá»§a \LaTeX{}),
	thÃ¬ viá»‡c ngáº¯t dÃ²ng Ä‘Ã³ sáº½ bá»‹ bá» qua.
\end{itemize}

%% \subsection{Open Questions}
\subsection{\texorpdfstring{CÃ¢u há»i má»Ÿ}{Cau hoi mo}}

CÃ¡c cÃ¢u há»i nÃ&nbsp;y liÃªn quan chá»§ yáº¿u Ä‘áº¿n viá»‡c phÃ¡t triá»ƒn
gÃ³i |ntheorem| --- nghÄ©a lÃ&nbsp; khÃ´ng cÃ³ Ã­ch láº¯m vá»›i ngÆ°á»i dÃ¹ng bÃ¬nh thÆ°á»ng.
%% If someone has a solution to one of those questions, please inform us.
%% (You can be sure to be mentioned in the Acknowledgements.)
Náº¿u ai Ä‘Ã³ cÃ³ cÃ¢u tráº£ lá»i cho má»™t trong cÃ¡c cÃ¢u há»i dÆ°á»›i Ä‘Ã¢y,
vui lÃ²ng thÃ´ng bÃ¡o cho tÃ¡c giáº£ gÃ³i |ntheorem|; tÃ¡c giáº£ cá»§a cÃ¢u
tráº£ lá»i sáº½ cÃ³ máº·t trong |Acknowledgements|.

\begin{itemize}
\item
%% For |equation|s, we decided to put the endmark after the equation
%% number, which is vertically centered.
%% Currently, we do not know, how to get the equation number centered and
%% the endmark at the bottom (one has to know the internal height of the
%% math material).
Vá»›i cÃ¡c phÆ°Æ¡ng trÃ¬nh (biá»ƒu diá»…n nhá» mÃ´i trÆ°á»ng |equation|), dáº¥u káº¿t thÃºc
sáº½ Ä‘Æ°á»£c Ä‘áº·t sau chá»‰ sá»‘ phÆ°Æ¡ng trÃ¬nh (Ä‘Æ°á»£c canh giá»¯a theo chiá»u Ä‘á»©ng).
Hiá»‡n táº¡i, váº«n chÆ°a cÃ³ thuáº­t toÃ¡n Ä‘á»ƒ canh giá»¯a chá»‰ sá»‘ phÆ°Æ¡ng trÃ¬nh
Ä‘á»“ng thá»i Ä‘áº·t dáº¥u káº¿t thÃºc á»Ÿ bÃªn dÆ°á»›i (viá»‡c nÃ&nbsp;y Ä‘Ã²i há»i pháº£i biáº¿t
chiá»u cao cá»§a ná»™i dung phÆ°Æ¡ng trÃ¬nh)
\item
%% The placement of endmarks is mainly based on a check whether \LaTeX\
%% is in an ordinary text line when encountering an end-of-environment.
%% This question is \emph{partially} answered by |\ifhmode|: In a text
%% line, \LaTeX\ is always in |\hmode|. 
Thuáº­t toÃ¡n Ä‘áº·t dáº¥u káº¿t thÃºc dá»±a trÃªn káº¿t quáº£ cá»§a viá»‡c kiá»ƒm tra xem liá»‡u pháº§n ná»™i
dung bÃ¬nh thÆ°á»ng Ä‘Ã£ háº¿t chÆ°a (khi gáº·p káº¿t thÃºc mÃ´i trÆ°á»ng |\end{...}|).
Viá»‡c kiá»ƒm tra nÃ&nbsp;y cÃ³ cÃ¢u tráº£ lá»i \emph{má»™t pháº§n} (|partially|)
nhá» |\ifhmode|: trong má»™t dÃ²ng, \LaTeX{} luÃ´n á»Ÿ cháº¿ Ä‘á»™ |\hmode|.
NhÆ°ng sau cÃ¡c biá»ƒu thá»©c toÃ¡n, \LaTeX{} cÅ©ng á»Ÿ cháº¿ Ä‘á»™ |\hmode|. VÃ¬ tháº¿,
%% But, after an displaymath, \LaTeX\ is also in |\hmode|. Thus,
%% additionally |\lastskip| is checked: after a displaymath, 
%% |\lastskip|=0 holds.
pháº£i kiá»ƒm tra thÃªm vá» |\lastkip|: sau biá»ƒu thá»©c toÃ¡n thÃ¬ |\lastskip=0|.
%% In most situations, when text has been written into a line, 
%% |\lastskip| $\neq$ 0. But, this does not hold, if the source code
%% is of the following form: |...text\label{bla}|: then, |\lastskip|=0.
%% In those situations, the endmark is suppressed. \\
%% ?? How can it be detected whether \LaTeX\ has just ended a displaymath?
Trong háº§u háº¿t trÆ°á»ng há»£p, khi ná»™i dung vá»«a ghi xong vÃ&nbsp;o má»™t dÃ²ng, thÃ¬ |\lastskip| $\neq0$.
NhÆ°ng Ä‘iá»u nÃ&nbsp;y khÃ´ng luÃ´n cháº¯c cháº¯n: náº¿u mÃ£ nguá»“n cÃ³ dáº¡ng
|...text\label{bla}|, thÃ¬ (sau Ä‘Ã³) |\lastskip=0|. VÃ&nbsp; khi Ä‘Ã³, dáº¥u káº¿t thÃºc bá»‹ bá» qua.

\medskip
CÃ¢u há»i Ä‘áº·t ra lÃ&nbsp;, lÃ&nbsp;m tháº¿ nÃ&nbsp;o Ä‘á»ƒ xÃ¡c Ä‘á»‹nh thá»i Ä‘iá»ƒm \LaTeX{} vá»«a káº¿t thÃºc
viá»‡c biá»ƒu diá»…n cÃ´ng thá»©c toÃ¡n?
\item 
%% The above problem with the label: The break style enforces a linebreak
%% by |\hfill\penalty-8000| after the |\trivlist|-item. Thus, \TeX\
%% gets back into the horizontal mode. The label places a ``whatsit''
%% somewhere ... and, it seems that the ``whatsit'' makes \TeX\ think
%% that there is a line of text. 
Trong váº¥n Ä‘á» trÃªn vá» nhÃ£n: kiá»ƒu |break| sáº½ gáº¯ng ngáº¯t dÃ²ng sau pháº§n |header|
báº±ng cÃ¡ch dÃ¹ng |\hfill\penalty-8000| Ä‘áº±ng sau |item| cá»§a |\trivlist|.
VÃ¬ váº­y, \TeX{} sáº½ chuyá»ƒn vÃ&nbsp;o cháº¿ Ä‘á»™ |horizontal|.
The label places a ``whatsit''
somewhere ... and, it seems that the ``whatsit'' makes \TeX\ think
that there is a line of text.\footnote{\texttt{kyanh:} ``whatsit'', Ä‘Ã³ lÃ&nbsp; cÃ¡i dzÃ¬ váº­y?}
\end{itemize}
%% If someone has a solution to one of those questions, please inform us.
%% (You can be sure to be mentioned in the Acknowledgements.)

\endinput
</pre></body></html>