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Insert entries for the sixteen Maths modules into Chapter 4 Modules of Additional.lyx

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John R Hudson 2022-12-28 10:56:30 +00:00 committed by Pavel Sanda
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\lang american
knitr
\change_unchanged
\end_layout
\end_inset
@ -16265,6 +16267,8 @@ status collapsed
\lang american
install.packages(“knitr”)
\change_unchanged
\end_layout
\end_inset
@ -16296,6 +16300,8 @@ status collapsed
\change_inserted 564990737 1672161542
http://yihui.name/knitr
\change_unchanged
\end_layout
\end_inset
@ -16433,6 +16439,583 @@ reference "sec:Literate-Programming"
for information about literate programming.
\end_layout
\begin_layout Section
\change_inserted 564990737 1672224959
\lang american
Maths
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This modules defines theorem environments and the proof environment using
the extended AMS machinery.
Both numbered and unnumbered types are provided.
By default, the theorems are numbered consecutively throughout the document.
This can be changed by loading one of the
\family sans
AMS Theorems (Numbered by \SpecialChar ldots
)
\family default
modules.
It cannot be used if the modules
\family sans
Standard Theorems
\family default
or
\family sans
Standard Theorems (Unnumbered)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems (Extended)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some additional theorem environments for use with the
\family sans
AMS Theorems
\family default
package (which must be loaded).
It includes Criterion, Algorithm, Axiom, Condition, Note, Notation, Summary,
Acknowledgement, Conclusion, Fact, Assumption, Case and Question in both
numbered and unnumbered forms.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems (Extended, Numbered by Type within Chapters)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some additional theorem environments for use with the
\family sans
AMS Theorems (Numbered by Type within Chapters)
\family default
package (which must be loaded).
It includes Criterion, Algorithm, Axiom, Condition, Note, Notation, Summary,
Acknowledgement, Conclusion, Assumption and Case in both numbered and unnumbere
d forms.
Unlike the
\family sans
AMS Theorems (Extended)
\family default
module, the different theorem types provided here each have a separate
counter, restarted with each new chapter (e.g., criterion 1.1, criterion 1.2,
axiom 1.1, assumption 1.1, criterion 2.1, criterion 2.2, axiom 2.1\SpecialChar ldots
, as opposed
to criterion 1, criterion 2, axiom 3, assumption 4...).
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems (Extended, Numbered by Type)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some additional theorem environments for use with the
\family sans
AMS Theorems (Numbered by Type)
\family default
package (which must be loaded).
It includes Criterion, Algorithm, Axiom, Condition, Note, Notation, Summary,
Acknowledgement, Conclusion, Assumption and Case in both numbered and unnumbere
d forms.
Unlike the
\family sans
AMS Theorems (Extended)
\family default
module, the different theorem types provided here each have a separate
counter (e.g., criterion 1, criterion 2, axiom 1, assumption 1, criterion
3, \SpecialChar ldots
, as opposed to criterion 1, criterion 2, axiom 3, assumption 4, \SpecialChar ldots
).
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems (Numbered by Type within Chapters)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines theorem environments and the proof environment using
the extended AMS machinery.
Both numbered and unnumbered types are provided.
Unlike the
\family sans
AMS Theorems
\family default
module, the different theorem types provided here each have a separate
counter (e.g., theorem 1.1, theorem 1.2, lemma 1.1, proposition 1.1, theorem
1.3, lemma 1.2, \SpecialChar ldots
, as opposed to theorem 1, theorem 2, lemma 3, proposition
4, \SpecialChar ldots
).
The numbering restarts for each chapter: theorem 1.1, theorem 2.1, \SpecialChar ldots
It cannot
be used if the modules
\family sans
AMS Theorems
\family default
,
\family sans
Standard Theorems
\family default
,
\family sans
Standard Theorems (Numbered by Type)
\family default
or
\family sans
Standard Theorems (Unnumbered)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
AMS Theorems (Numbered by Type)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines theorem environments and the proof environment using
the extended AMS machinery.
Both numbered and unnumbered types are provided.
Unlike the
\family sans
AMS Theorems
\family default
module, the different theorem types provided here each have a separate
counter (e.g., theorem 1, theorem 2, lemma 1, proposition 1, theorem 3, lemma
2, \SpecialChar ldots
, as opposed to theorem 1, theorem 2, lemma 3, proposition 4, \SpecialChar ldots
).
The numbering’s scope is the whole document.
For chapter- and section-wide numbering, use one of the ‘within Sections’/‘with
in Chapters’ modules, respectively.
It cannot be used if the modules
\family sans
AMS Theorems
\family default
,
\family sans
Standard Theorems
\family default
,
\family sans
Standard Theorems (Numbered by Type)
\family default
or
\family sans
Standard Theorems (Unnumbered)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Number Equations by Section
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module resets the equation number at section start and prepends the
section number to the equation number, as in “(2.1).”
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some theorem environments for use with non-AMS classes.
By default, the theorems are numbered consecutively throughout the document.
This can be changed by loading one of the
\family sans
Standard Theorems (Numbered by \SpecialChar ldots
)
\family default
modules.
It cannot be used if the modules
\family sans
AMS Theorems
\family default
or
\family sans
Standard Theorems (Unnumbered)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Nameable)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module facilitates the use of named theorems.
The name of the theorem goes into the “Additional Theorem Text” argument.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Numbered by Chapter)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module numbers theorems and the like by chapter (i.e., the counter is
reset at each chapter start).
Use this module only with document classes that provide a chapter environment.
One of the modules
\family sans
AMS Theorems
\family default
or
\family sans
Standard Theorems
\family default
must be loaded.
It cannot be used if the module
\family sans
Standard Theorems (Numbered by Section)
\family default
has been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Numbered by Section)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module numbers theorems and the like by section (i.e., the counter is
reset at each section start).
One of the modules
\family sans
AMS Theorems
\family default
or
\family sans
Standard Theorems
\family default
must be loaded.
It cannot be used if the module
\family sans
Standard Theorems (Numbered by Chapter)
\family default
has been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Numbered by Type within Chapters)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some theorem environments for use with non-AMS classes.
Unlike the
\family sans
AMS Theorems
\family default
and
\family sans
Standard Theorems
\family default
modules, the different theorem types provided here each have a separate
counter (e.g., theorem 1, theorem 2, lemma 1, proposition 1, theorem 3, lemma
2, \SpecialChar ldots
, as opposed to theorem 1, theorem 2, lemma 3, proposition 4, \SpecialChar ldots
).
The numbering is reset at each chapter start.
One of the modules
\family sans
AMS Theorems (Numbered by Type)
\family default
or
\family sans
Standard Theorems (Numbered by Type)
\family default
must be loaded.
It cannot be used if any of the modules
\family sans
AMS Theorems
\family default
,
\family sans
Standard Theorems
\family default
,
\family sans
Standard Theorems (Unnumbered)
\family default
,
\family sans
Standard Theorems (Numbered by Sections)
\family default
or
\family sans
Standard Theorems (Numbered by Type within Sections)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Numbered by Type within Sections)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some theorem environments for use with non-AMS classes.
Unlike the
\family sans
AMS Theorems
\family default
and
\family sans
Standard Theorems
\family default
modules, the different theorem types provided here each have a separate
counter (e.g., theorem 1, theorem 2, lemma 1, proposition 1, theorem 3, lemma
2, \SpecialChar ldots
, as opposed to theorem 1, theorem 2, lemma 3, proposition 4, \SpecialChar ldots
).
The numbering is reset at each section start.
One of the modules
\family sans
AMS Theorems (Numbered by Type)
\family default
or
\family sans
Standard Theorems (Numbered by Type)
\family default
must be loaded.
It cannot be used if any of the modules
\family sans
AMS Theorems
\family default
,
\family sans
Standard Theorems
\family default
,
\family sans
Standard Theorems (Unnumbered)
\family default
,
\family sans
Standard Theorems (Numbered by Chapters)
\family default
or
\family sans
Standard Theorems (Numbered by Type within Chapters)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Numbered by Type)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines some theorem environments for use with non-AMS classes.
Unlike the
\family sans
AMS Theorems
\family default
and
\family sans
Standard Theorems
\family default
modules, the different theorem types provided here each have a separate
counter (e.g., theorem 1, theorem 2, lemma 1, proposition 1, theorem 3, lemma
2, \SpecialChar ldots
, as opposed to theorem 1, theorem 2, lemma 3, proposition 4, \SpecialChar ldots
).
The numbering’s scope is the whole document.
For chapter- and section-wide numbering, use one of the “within Chapters”/“with
in Sections” modules, respectively.
It cannot be used if any of the modules
\family sans
AMS Theorems
\family default
,
\family sans
Standard Theorems
\family default
,
\family sans
Standard Theorems (Unnumbered)
\family default
or
\family sans
AMS Theorems (Numbered by Type)
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Standard Theorems (Unnumbered)
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module defines only unnumbered theorem environments and the proof environme
nt, using the extended AMS machinery.
It cannot be used if either of the modules
\family sans
AMS Theorems
\family default
or
\family sans
Standard Theorems
\family default
have been loaded.
\end_layout
\begin_layout Subsection
\change_inserted 564990737 1672224959
\lang american
Subequations
\end_layout
\begin_layout Standard
\change_inserted 564990737 1672224959
\lang american
This module provides a straightforward way to segregate subequations in
LyX.
See
\family sans
Help\SpecialChar menuseparator
Math\SpecialChar menuseparator
Subnumbering
\family default
.
\end_layout
\begin_layout Section
Multiple Text Columns
\end_layout