+Figure Floats
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Figure-Floats"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Floats ! Figure floats
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Figure
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "fig:Platypus-distorted"
+
+\end_inset
+
+ was created using the menu
+\family sans
+Insert\SpecialChar menuseparator
+Float\SpecialChar menuseparator
+Figure
+\family default
+ (toolbar button
+\begin_inset Info
+type "icon"
+arg "float-insert figure"
+\end_inset
+
+).
+ The image was inserted by setting the cursor above the caption label and
+ using the menu
+\family sans
+Insert\SpecialChar menuseparator
+Graphics
+\family default
+ (toolbar button
+\begin_inset Info
+type "icon"
+arg "dialog-show-new-inset graphics"
+\end_inset
+
+).
+ The image in the float was horizontally centered by putting the cursor
+ to the left or right of the image and using the menu
+\family sans
+Edit\SpecialChar menuseparator
+Paragraph
+\begin_inset space ~
+\end_inset
+
+Settings
+\family default
+ (toolbar button
+\begin_inset Info
+type "icon"
+arg "layout-paragraph"
+\end_inset
+
+).
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+wide false
+sideways false
+status collapsed
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Graphics
+ filename clipart/platypus.eps
+ lyxscale 50
+ width 50col%
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:Platypus-distorted"
+
+\end_inset
+
+A severely distorted platypus in a float.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+This figure float also shows how to set a label and create a cross-reference
+ to it: Insert a label into the caption using the menu
+\family sans
+Insert\SpecialChar menuseparator
+Label
+\family default
+ (toolbar button
+\begin_inset Info
+type "icon"
+arg "label-insert"
+\end_inset
+
+) and refer to it using the menu
+\family sans
+Insert\SpecialChar menuseparator
+Cross-Reference
+\family default
+ (toolbar button
+\begin_inset Info
+type "icon"
+arg "dialog-show-new-inset ref"
+\end_inset
+
+).
+ It is important to use cross-references to figure floats rather than using
+ vague references like
+\begin_inset Quotes eld
+\end_inset
+
+the figure above
+\begin_inset Quotes erd
+\end_inset
+
+, because, as \SpecialChar LaTeX
+ will reposition the floats in the final document, it might
+ not be
+\begin_inset Quotes eld
+\end_inset
+
+above
+\begin_inset Quotes erd
+\end_inset
+
+ at all.
+ For more about cross-references, see section
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Cross-References"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Normally only one image is inserted in a figure float, but sometimes you
+ might want to use two images with separate subcaptions.
+ This can be done by inserting image floats into existing image floats.
+ Note that only the main caption of the float is added to the List of Figures
+ as described in section
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:List-of-Figures"
+
+\end_inset
+
+.
+ Figure
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "fig:Two-distorted-images"
+
+\end_inset
+
+ is an example of a figure float with two images set side by side.
+ You can also set the images one below the other.
+ Figure
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "fig:Undefinable"
+
+\end_inset
+
+ and
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "fig:Platypus"
+
+\end_inset
+
+ are the subfigures.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Float figure
+wide false
+sideways false
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:Undefinable"
+
+\end_inset
+
+Undefinable
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Graphics
+ filename clipart/escher-lsd.eps
+ width 45col%
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Float figure
+wide false
+sideways false
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:Platypus"
+
+\end_inset
+
+Platypus
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Graphics
+ filename clipart/platypus.eps
+ lyxscale 60
+ width 45col%
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:Two-distorted-images"
+
+\end_inset
+
+Two distorted images.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Table Floats
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Floats ! Table floats
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Table floats can be inserted using the menu
+\family sans
+Insert\SpecialChar menuseparator
+Float\SpecialChar menuseparator
+Table
+\family default
+ or the toolbar button
+\begin_inset Info
+type "icon"
+arg "float-insert table"
+\end_inset
+
+.
+ They have the same properties as figure floats except that the table in
+ the float is normally placed below the caption and not above like for figures
+ and that the label begins with “tab:”.
+ Table
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tab:Table-float"
+
+\end_inset
+
+ is a table float.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "tab:Table-float"
+
+\end_inset
+
+A table float.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="3">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+1
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+2
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+3
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+Joe
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+Mary
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+Ted
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+\begin_inset Formula $\int x^{2}dx$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+\begin_inset Formula $\left[\begin{array}{cc}
+a & b\\
+c & d
+\end{array}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\noun off
+\color none
+\begin_inset Formula $1+1=2$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+More Information
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Floats ! Details
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\SpecialChar LyX
+ offers you further float types as well as rotated floats.
+ It also allows you to change the float numbering scheme, to control the
+ float placement and to change the formatting and placement of the float
+ caption.
+ All these features are explained in detail with many examples in the chapter
+
+\emph on
+Floats
+\emph default
+ in the
+\emph on
+Embedded
+\begin_inset space ~
+\end_inset
+
+Objects
+\emph default
+ manual.
+\end_layout
+
+\begin_layout Section
+Minipages
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Minipages
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\SpecialChar LaTeX
+ provides a mechanism essentially to produce a page within a page, called
+ a minipage.
+ Within a minipage, all the usual rules of indentation, line wrapping, etc.
+\begin_inset space \space{}
+\end_inset
+
+apply.
+
+\end_layout
+
+\begin_layout Standard
+Minipages in \SpecialChar LyX
+ have their own collapsible box inserted via the menu
+\family sans
+Insert\SpecialChar menuseparator
+Box
+\family default
+.
+ Right-clicking on the box label allows you to alter the width of the minipage
+ and its alignment within the page.
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Box Frameless
+position "t"
+hor_pos "c"
+has_inner_box 1
+inner_pos "t"
+use_parbox 0
+use_makebox 0
+width "30col%"
+special "none"
+height "1pt"
+height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
+status collapsed
+
+\begin_layout Plain Layout
+
+\shape italic
+This is a minipage.
+ The text is set in an italic style.
+\end_layout
+
+\begin_layout Plain Layout
+
+\shape italic
+Minipages are often used for text in another language or text that needs
+ another formatting.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+If you place two minipages side-by-side, you can use
+\family sans
+Horizontal Fills
+\family default
+ as described in section
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Horizontal-Space"
+
+\end_inset
+
+:
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Box Frameless
+position "t"
+hor_pos "c"
+has_inner_box 1
+inner_pos "t"
+use_parbox 0
+use_makebox 0
+width "1.5in"
+special "none"
+height "1pt"
+height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
+status open
+
+\begin_layout Plain Layout
+This is a minipage with some stupid dummy text.
+ This dummy text is used to increase the size of the minipage.
+\end_layout
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Box Frameless
+position "t"
+hor_pos "c"
+has_inner_box 1
+inner_pos "t"
+use_parbox 0
+use_makebox 0
+width "1.5in"
+special "none"
+height "1pt"
+height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
+status open
+
+\begin_layout Plain Layout
+This is a minipage with some stupid dummy text.
+ This dummy text is used to increase the size of the minipage.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+When you right-click on a minipage box, you can transform the box to another
+ box type.
+ All box types and their settings are explained in detail in chapter
+\emph on
+Boxes
+\emph default
+ of the
+\emph on
+Embedded
+\begin_inset space ~
+\end_inset
+
+Objects
+\emph default
+ manual.
+\end_layout
+
+\begin_layout Chapter
+Mathematical Formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formulas | see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
+
+\end_inset
+
+Math
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "chap:Mathematical-Formulas"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+The issues of this chapter are described in detail in the
+\emph on
+Math
+\emph default
+ manual.
+ There you will also find tips and tricks for special cases.
+\end_layout
+
+\begin_layout Section
+Basic Math Editing
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Basics
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+To create a math formula, you can just click on the toolbar icon
+\begin_inset Info
+type "icon"
+arg "math-mode on"
+\end_inset
+
+ (shortcut
+\begin_inset Info
+type "shortcut"
+arg "math-mode"
+\end_inset
+
+).
+ That will create a little blue rectangle, with purple markers around its
+ corners.
+ That blue rectangle is the formula itself; the purple markers indicate
+ what level of nesting within the formula you are at.
+ You can also choose a particular formula type to insert via the
+\family sans
+Insert\SpecialChar menuseparator
+Math
+\family default
+ menu.
+\end_layout
+
+\begin_layout Standard
+Editing the parameters of a formula and adding math constructs can be done
+ with the
+\family sans
+math
+\begin_inset space ~
+\end_inset
+
+toolbar
+\family default
+, that appears if the cursor is in a formula.
+\end_layout
+
+\begin_layout Standard
+There are two main types of formulas, inline formulas and display formulas.
+ Inline formulas appear within a text line, like this one:
+\end_layout
+
+\begin_layout Standard
+This is a line with an inline formula
+\begin_inset Formula $A=B$
+\end_inset
+
+ in it.
+\end_layout
+
+\begin_layout Standard
+Displayed formulas appear outside the text like if they were in a separate
+ paragraph, like this one:
+\begin_inset Formula
+\[
+A=B
+\]
+
+\end_inset
+
+You can only number and reference displayed formulas.
+\end_layout
+
+\begin_layout Standard
+\SpecialChar LyX
+ also supports many \SpecialChar LaTeX
+ math commands.
+ For example, typing
+\begin_inset Quotes eld
+\end_inset
+
+
+\series bold
+
+\backslash
+alpha
+\series default
+
+\begin_inset Quotes erd
+\end_inset
+
+, followed by a space, in a formula will create the Greek letter
+\begin_inset Formula $\alpha$
+\end_inset
+
+.
+ Typing commands might sometimes be faster than using the
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Panel
+\family default
+.
+\end_layout
+
+\begin_layout Subsection
+Navigating in Formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Navigating
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+The best control over the cursor position within an existing formula is
+ achieved with the arrow keys.
+ \SpecialChar LyX
+ uses small rectangles to indicate places where something can be inserted.
+ The arrow keys can be used to navigate between parts of a formula.
+ Pressing
+\family sans
+Space
+\family default
+ will leave a formula construct (a square root
+\begin_inset Formula $\sqrt{2}$
+\end_inset
+
+, or parentheses
+\begin_inset Formula $\left(f\right)$
+\end_inset
+
+, or a matrix
+\begin_inset Formula $\left[\begin{array}{cc}
+1 & 2\\
+3 & 4
+\end{array}\right]$
+\end_inset
+
+).
+ Pressing
+\family sans
+Escape
+\family default
+ will leave the formula, placing the cursor after the formula.
+
+\family sans
+Tab
+\family default
+ can be used to move horizontally in a formula; for example, through the
+ cells of a matrix or the positions in a multi-line equation.
+\end_layout
+
+\begin_layout Standard
+
+\family sans
+Space
+\family default
+, printed in this document as
+\begin_inset Quotes eld
+\end_inset
+
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset Quotes erd
+\end_inset
+
+, seems to do nothing in a formula, since it does not add a space between
+ characters, but it does exit a nested structure.
+ For this reason, you have to be careful about using
+\family sans
+Space
+\family default
+.
+ For example, if you want
+\begin_inset Formula $\sqrt{2x+1}$
+\end_inset
+
+, type
+\series bold
+
+\backslash
+sqrt
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+2x+1
+\series default
+ and not
+\series bold
+
+\backslash
+sqrt
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+2x
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++1
+\series default
+, since in the latter case only the
+\family typewriter
+
+\begin_inset Formula $2x$
+\end_inset
+
+
+\family default
+ will be under the square root sign:
+\begin_inset Formula $\sqrt{2x}+1$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+You can leave many parts of a formula, like this matrix, partially filled
+ in, such as:
+\begin_inset Formula
+\[
+\left(\begin{array}{ccc}
+\lambda_{1}\\
+ & \ddots\\
+ & & \lambda_{n}
+\end{array}\right)
+\]
+
+\end_inset
+
+If you leave a fraction only partially filled in, or a subscript with nothing
+ in it, the results will be unpredictable, but most constructs don't mind.
+\end_layout
+
+\begin_layout Subsection
+Selecting Text
+\end_layout
+
+\begin_layout Standard
+You can select text within a formula in two different ways.
+ Place the cursor at one end of the string of text you want, and press
+\family sans
+Shift
+\family default
+ and a cursor movement key to select text.
+ It will be highlighted as with regular text selection.
+ Alternatively, you can select text with the mouse in the usual way.
+ That text can then be cut or copied, and then pasted within any formula,
+ but not in a normal text region in \SpecialChar LyX
+.
+\end_layout
+
+\begin_layout Subsection
+Exponents and Subscripts
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Exponents
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Subscripts
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+You can use the math panel to add super- or subscripts (buttons
+\begin_inset Info
+type "icon"
+arg "math-superscript"
+\end_inset
+
+ and
+\begin_inset Info
+type "icon"
+arg "math-subscript"
+\end_inset
+
+), but it is often much easier to use a command.
+ To get
+\begin_inset Formula $x^{2}$
+\end_inset
+
+, type in a formula
+\series bold
+x^2
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+.
+ The final
+\family sans
+Space
+\family default
+ puts the cursor back down on the base line of the expression.
+ If you type
+\series bold
+x^2y
+\series default
+, you will get
+\begin_inset Formula $x^{2y}$
+\end_inset
+
+, to get
+\begin_inset Formula $x^{2}y$
+\end_inset
+
+, type
+\series bold
+x^2
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+y
+\series default
+.
+ If you use characters in the superscript, that could be accented with the
+ circumflex
+\begin_inset Quotes eld
+\end_inset
+
+^
+\begin_inset Quotes erd
+\end_inset
+
+, you have to use an extra
+\family sans
+Space
+\family default
+ to separate the circumflex and the character.
+ For example, if you want
+\begin_inset Formula $x^{a}$
+\end_inset
+
+, type
+\series bold
+x^
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+a
+\series default
+.
+ Subscripts are similar: To get
+\begin_inset Formula $a_{1}$
+\end_inset
+
+, type
+\series bold
+a_1
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+.
+\end_layout
+
+\begin_layout Subsection
+Fractions
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Fractions
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Create a fraction either with the command
+\series bold
+
+\backslash
+frac
+\series default
+ or by using the icon
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac"
+\end_inset
+
+ in the
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Panel
+\family default
+.
+ You will be presented with an empty fraction.
+ The cursor is above the fraction line.
+ To move it to the bottom, simply press
+\family sans
+Down
+\family default
+.
+ To move back up, press
+\family sans
+Up
+\family default
+.
+ Any math structure can be placed in a fraction, as this example shows:
+\begin_inset Formula
+\[
+\left[\frac{1}{\left(\begin{array}{cc}
+2 & 3\\
+4 & 5
+\end{array}\right)}\right]
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Roots
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Roots
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Roots can be created using the
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Panel
+\family default
+ buttons
+\begin_inset Info
+type "icon"
+arg "math-insert \\sqrt"
+\end_inset
+
+ or
+\begin_inset Info
+type "icon"
+arg "math-insert \\root"
+\end_inset
+
+ or the commands
+\series bold
+
+\backslash
+sqrt
+\series default
+ or
+\series bold
+
+\backslash
+root
+\series default
+.
+ With the command
+\series bold
+
+\backslash
+root
+\series default
+ you can produce roots of higher orders, like cube roots, while
+\series bold
+
+\backslash
+sqrt
+\series default
+ always produces a square root.
+\end_layout
+
+\begin_layout Subsection
+Operators with Limits
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Math ! Sums
+\end_layout