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-\lyxformat 221
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+#LyX 2.2 created this file. For more info see http://www.lyx.org/
+\lyxformat 508
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin /systemlyxdir/examples/
+\textclass aastex6
\begin_preamble
\newcommand{\vdag}{(v)^\dagger}
\newcommand{\myemail}{skywalker@galaxy.far.far.away}
\shorttitle{Djorgovski et al.}
\shortauthors{Collapsed Cores in Globular Clusters}
\end_preamble
+\use_default_options false
+\maintain_unincluded_children false
\language english
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+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
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+\paragraph_indentation default
\quotes_language english
-\quotes_times 2
\papercolumns 1
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\paperpagestyle default
+\tracking_changes false
+\output_changes false
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+\html_be_strict false
+\end_header
+
+\begin_body
+
+\begin_layout Standard
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+\noindent
+\align left
+Sample document for contributions to journals of the American Astronomical
+ Society (AAS).
+ Please consult the
+\begin_inset CommandInset href
+LatexCommand href
+name "AASTeX user guide"
+target "http://journals.aas.org/authors/aastex/aasguide.html"
+
+\end_inset
+
+ for details on how to use AASTeX.
+
+\end_layout
+
+\begin_layout Plain Layout
+\noindent
+\align left
+An up-to-date sample LaTeX article using AASTeX is available under
+\begin_inset Flex URL
+status open
+
+\begin_layout Plain Layout
+
+http://journals.aas.org/authors/aastex/aastex.html#_download
+\end_layout
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+\noindent
+\align left
+The AASTeX document class uses a different name since version 6.0 (2016/02/16).
+ Depending on the version installed on your system, set the document class
+ to American Astronomical Society (AASTeX v.
+ 6) or American Astronomical Society (AASTeX v.
+ 5).
+
+\end_layout
+
+\begin_layout Plain Layout
+\noindent
+\align left
+New features (cf.
+
+\begin_inset Flex URL
+status collapsed
+
+\begin_layout Plain Layout
+
+http://journals.aas.org/authors/aastex/revisionhistory.html
+\end_layout
+
+\end_inset
+
+) are only partially supported by LyX (see
+\begin_inset Flex URL
+status collapsed
+
+\begin_layout Plain Layout
+
+http://www.lyx.org/trac/ticket/10027
+\end_layout
-\layout Title
+\end_inset
-Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
-Examples
-\layout Author
+).
+\end_layout
+\end_inset
+
+
+\end_layout
+
+\begin_layout Title
+Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AAS\SpecialChar TeX
+ Examples
+\end_layout
+
+\begin_layout Author
S.
Djorgovski
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status open
-\layout Standard
+\begin_layout Plain Layout
+1,2,3
+\end_layout
-\backslash
-altaffilmark{1,2,3}
-\end_inset
+\end_inset
and Ivan R.
King
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+1
+\end_layout
-\backslash
-altaffilmark{1}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
Astronomy Department, University of California, Berkeley, CA 94720
-\layout Author
+\end_layout
+\begin_layout Author
C.
D.
Biemesderfer
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+4,5
+\end_layout
-\backslash
-altaffilmark{4,5}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
National Optical Astronomy Observatories, Tucson, AZ 85719
-\layout Email
+\end_layout
+\begin_layout Email
aastex-help@aas.org
-\layout And
+\end_layout
+
+\begin_layout And
-\layout Author
+\end_layout
+\begin_layout Author
R.
J.
Hanisch
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+5
+\end_layout
-\backslash
-altaffilmark{5}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
Space Telescope Science Institute, Baltimore, MD 21218
-\layout Standard
+\end_layout
+\begin_layout Altaffilation
+\begin_inset Argument 1
+status open
-\begin_inset ERT
-status Collapsed
+\begin_layout Plain Layout
+1
+\end_layout
-\layout Standard
+\end_inset
-\backslash
-altaffiltext{1}{Visiting Astronomer, Cerro Tololo Inter-American Observatory.
+Visiting Astronomer, Cerro Tololo Inter-American Observatory.
CTIO is operated by AURA, Inc.
-\backslash
- under contract to the National Science Foundation.}
-\layout Standard
+\begin_inset space \space{}
+\end_inset
-\backslash
-altaffiltext{2}{Society of Fellows, Harvard University.}
-\layout Standard
+under contract to the National Science Foundation.
+\end_layout
-\backslash
-altaffiltext{3}{present address: Center for Astrophysics, 60 Garden Street,
- Cambridge, MA 02138}
-\layout Standard
+\begin_layout Altaffilation
+\begin_inset Argument 1
+status open
-\backslash
-altaffiltext{4}{Visiting Programmer, Space Telescope Science Institute}
-
-\layout Standard
+\begin_layout Plain Layout
+2
+\end_layout
+
+\end_inset
+
+Society of Fellows, Harvard University.
+\end_layout
+
+\begin_layout Altaffilation
+\begin_inset Argument 1
+status open
+
+\begin_layout Plain Layout
+3
+\end_layout
+
+\end_inset
+
+present address: Center for Astrophysics, 60 Garden Street, Cambridge, MA
+ 02138
+\end_layout
+
+\begin_layout Altaffilation
+\begin_inset Argument 1
+status open
-\backslash
-altaffiltext{5}{Patron, Alonso's Bar and Grill}
-\end_inset
+\begin_layout Plain Layout
+4
+\end_layout
+
+\end_inset
+
+Visiting Programmer, Space Telescope Science Institute
+\end_layout
+
+\begin_layout Altaffilation
+\begin_inset Argument 1
+status open
+\begin_layout Plain Layout
+5
+\end_layout
-\layout Abstract
+\end_inset
+Patron, Alonso's Bar and Grill
+\end_layout
+
+\begin_layout Abstract
This is a preliminary report on surface photometry of the major fraction
of known globular clusters, to see which of them show the signs of a collapsed
core.
We also explore some diversionary mathematics and recreational tables.
-\layout Keywords
+\end_layout
-clusters: globular, peanut---bosons: bozos
-\layout Section
+\begin_layout Keywords
+clusters: globular, peanut—bosons: bozos
+\end_layout
+\begin_layout Section
Introduction
-\layout Standard
+\end_layout
+\begin_layout Standard
A focal problem today in the dynamics of globular clusters is core collapse.
It has been predicted by theory for decades
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep{hen61,lyn68,spi85}
-\end_inset
+\end_layout
+
+\end_inset
, but observation has been less alert to the phenomenon.
For many years the central brightness peak in M15
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{kin75,new78}
-\end_inset
+\end_layout
+
+\end_inset
seemed a unique anomaly.
Then
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citet{aur82}
-\end_inset
+\end_layout
+
+\end_inset
suggested a central peak in NGC 6397, and a limited photographic survey
of ours
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep[Paper I]{djo84}
-\end_inset
+\end_layout
+
+\end_inset
found three more cases, including NGC 6624, whose sharp center had often
been remarked on
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{can78}
-\end_inset
+\end_layout
+
+\end_inset
.
-\layout Section
+\end_layout
+\begin_layout Section
Observations
-\layout Standard
+\end_layout
+\begin_layout Standard
All our observations were short direct exposures with CCD's.
At Lick Observatory we used a TI 500
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
500 chip and a GEC 575
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
385, on the 1-m Nickel reflector.
The only filter available at Lick was red.
At CTIO we used a GEC 575
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
385, with
-\begin_inset Formula \( B,V, \)
-\end_inset
+\begin_inset Formula $B,V,$
+\end_inset
and
-\begin_inset Formula \( R \)
-\end_inset
+\begin_inset Formula $R$
+\end_inset
filters, and an RCA 512
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
320, with
-\begin_inset Formula \( U,B,V,R, \)
-\end_inset
+\begin_inset Formula $U,B,V,R,$
+\end_inset
and
-\begin_inset Formula \( I \)
-\end_inset
+\begin_inset Formula $I$
+\end_inset
filters, on the 1.5-m reflector.
In the CTIO observations we tried to concentrate on the shortest practicable
wavelengths; but faintness, reddening, and poor short-wavelength sensitivity
often kept us from observing in
-\begin_inset Formula \( U \)
-\end_inset
+\begin_inset Formula $U$
+\end_inset
or even in
-\begin_inset Formula \( B \)
-\end_inset
+\begin_inset Formula $B$
+\end_inset
.
All four cameras had scales of the order of 0.4 arcsec/pixel, and our field
sizes were around 3 arcmin.
-\layout Standard
+\end_layout
+\begin_layout Standard
The CCD images are unfortunately not always suitable, for very poor clusters
or for clusters with large cores.
Since the latter are easily studied by other means, we augmented our own
CCD profiles by collecting from the literature a number of star-count profiles
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{kin68,pet76,har84,ort85}
-\end_inset
+\end_layout
+
+\end_inset
, as well as photoelectric profiles
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{kin66,kin75}
-\end_inset
+\end_layout
+
+\end_inset
and electronographic profiles
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep{kro84}
-\end_inset
+\end_layout
+
+\end_inset
.
In a few cases we judged normality by eye estimates on one of the Sky Surveys.
-\layout Section
+\end_layout
+\begin_layout Section
Helicity Amplitudes
-\layout Standard
+\end_layout
+\begin_layout Standard
It has been realized that helicity amplitudes provide a convenient means
for Feynman diagram
\begin_inset Foot
-collapsed true
-
-\layout Standard
+status collapsed
+\begin_layout Plain Layout
Footnotes can be inserted like this.
-\end_inset
+\end_layout
+
+\end_inset
evaluations.
These amplitude-level techniques are particularly convenient for calculations
amplitude squared becomes unwieldy.
Our calculations use the helicity techniques developed by other authors
-\begin_inset LatexCommand \cite{hag86}
+\begin_inset CommandInset citation
+LatexCommand cite
+key "hag86"
-\end_inset
+\end_inset
; we briefly summarize below.
-\layout Subsection
+\end_layout
+\begin_layout Subsection
Formalism
-\layout Standard
+\end_layout
+\begin_layout Standard
+\begin_inset CommandInset label
+LatexCommand label
+name "bozomath"
-\begin_inset LatexCommand \label{bozomath}
+\end_inset
-\end_inset
+\end_layout
-\layout Standard
-
+\begin_layout Standard
A tree-level amplitude in
-\begin_inset Formula \( e^{+}e^{-} \)
-\end_inset
+\begin_inset Formula $e^{+}e^{-}$
+\end_inset
collisions can be expressed in terms of fermion strings of the form
-\begin_inset Formula \begin{equation}
-\bar{v}(p_{2},\sigma _{2})P_{-\tau }\hat{a}_{1}\hat{a}_{2}\cdots \hat{a}_{n}u(p_{1},\sigma _{1}),
+\begin_inset Formula
+\begin{equation}
+\bar{v}(p_{2},\sigma_{2})P_{-\tau}\hat{a}_{1}\hat{a}_{2}\cdots\hat{a}_{n}u(p_{1},\sigma_{1}),
\end{equation}
-\end_inset
+\end_inset
where
-\begin_inset Formula \( p \)
-\end_inset
+\begin_inset Formula $p$
+\end_inset
and
-\begin_inset Formula \( \sigma \)
-\end_inset
+\begin_inset Formula $\sigma$
+\end_inset
label the initial
-\begin_inset Formula \( e^{\pm } \)
-\end_inset
+\begin_inset Formula $e^{\pm}$
+\end_inset
four-momenta and helicities
-\begin_inset Formula \( (\sigma =\pm 1) \)
-\end_inset
+\begin_inset Formula $(\sigma=\pm1)$
+\end_inset
,
-\begin_inset Formula \( \hat{a}_{i}=a^{\mu }_{i}\gamma _{\nu } \)
-\end_inset
+\begin_inset Formula $\hat{a}_{i}=a_{i}^{\mu}\gamma_{\nu}$
+\end_inset
and
-\begin_inset Formula \( P_{\tau }=\frac{1}{2}(1+\tau \gamma _{5}) \)
-\end_inset
+\begin_inset Formula $P_{\tau}=\frac{1}{2}(1+\tau\gamma_{5})$
+\end_inset
is a chirality projection operator
-\begin_inset Formula \( (\tau =\pm1 ) \)
-\end_inset
+\begin_inset Formula $(\tau=\pm1)$
+\end_inset
.
The
-\begin_inset Formula \( a^{\mu }_{i} \)
-\end_inset
+\begin_inset Formula $a_{i}^{\mu}$
+\end_inset
may be formed from particle four-momenta, gauge-boson polarization vectors
or fermion strings with an uncontracted Lorentz index associated with final-sta
te fermions.
-\layout NoteToEditor
+\end_layout
+\begin_layout NoteToEditor
Figures 1 and 2 should appear side-by-side in print
-\layout Standard
+\end_layout
+\begin_layout Standard
In the chiral representation the
-\begin_inset Formula \( \gamma \)
-\end_inset
+\begin_inset Formula $\gamma$
+\end_inset
matrices are expressed in terms of
-\begin_inset Formula \( 2\times 2 \)
-\end_inset
+\begin_inset Formula $2\times2$
+\end_inset
Pauli matrices
-\begin_inset Formula \( \sigma \)
-\end_inset
+\begin_inset Formula $\sigma$
+\end_inset
and the unit matrix 1 as
-\begin_inset Formula \begin{eqnarray}
-\gamma ^{\mu } & = & \left( \begin{array}{cc}
-0 & \sigma ^{\mu }_{+}\\
-\sigma ^{\mu }_{-} & 0
-\end{array}\right) ,\gamma ^{5}=\left( \begin{array}{cc}
+\begin_inset Formula
+\begin{eqnarray*}
+\gamma^{\mu} & = & \left(\begin{array}{cc}
+0 & \sigma_{+}^{\mu}\\
+\sigma_{-}^{\mu} & 0
+\end{array}\right),\gamma^{5}=\left(\begin{array}{cc}
-1 & 0\\
0 & 1
-\end{array}\right) ,\nonumber \\
-\sigma ^{\mu }_{\pm } & = & ({\textbf {1}},\pm \sigma ),\nonumber
-\end{eqnarray}
+\end{array}\right),\\
+\sigma_{\pm}^{\mu} & = & ({\textbf{1}},\pm\sigma),
+\end{eqnarray*}
-\end_inset
+\end_inset
giving
-\begin_inset Formula \begin{equation}
-\hat{a}=\left( \begin{array}{cc}
+\begin_inset Formula
+\begin{equation}
+\hat{a}=\left(\begin{array}{cc}
0 & (\hat{a})_{+}\\
(\hat{a})_{-} & 0
-\end{array}\right) ,(\hat{a})_{\pm }=a_{\mu }\sigma ^{\mu }_{\pm },
+\end{array}\right),(\hat{a})_{\pm}=a_{\mu}\sigma_{\pm}^{\mu},
\end{equation}
-\end_inset
+\end_inset
The spinors are expressed in terms of two-component Weyl spinors as
-\begin_inset Formula \begin{equation}
-u=\left( \begin{array}{c}
+\begin_inset Formula
+\begin{equation}
+u=\left(\begin{array}{c}
(u)_{-}\\
(u)_{+}
-\end{array}\right) ,v={\textbf {(}}\vdag _{+}{\textbf {,}}\vdag _{-}{\textbf {)}}.
+\end{array}\right),v={\textbf{(}}\vdag_{+}{\textbf{,}}\vdag_{-}{\textbf{)}}.
\end{equation}
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
The Weyl spinors are given in terms of helicity eigenstates
-\begin_inset Formula \( \chi _{\lambda }(p) \)
-\end_inset
+\begin_inset Formula $\chi_{\lambda}(p)$
+\end_inset
with
-\begin_inset Formula \( \lambda =\pm1 \)
-\end_inset
+\begin_inset Formula $\lambda=\pm1$
+\end_inset
by
-\layout MathLetters
-
+\end_layout
-\begin_inset Formula \begin{eqnarray}
-u(p,\lambda )_{\pm } & = & (E\pm \lambda |{\textbf {p}}|)^{1/2}\chi _{\lambda }(p),\\
-v(p,\lambda )_{\pm } & = & \pm \lambda (E\mp \lambda |{\textbf {p}}|)^{1/2}\chi _{-\lambda }(p)
+\begin_layout MathLetters
+\begin_inset Formula
+\begin{eqnarray}
+u(p,\lambda)_{\pm} & = & (E\pm\lambda|{\textbf{p}}|)^{1/2}\chi_{\lambda}(p),\\
+v(p,\lambda)_{\pm} & = & \pm\lambda(E\mp\lambda|{\textbf{p}}|)^{1/2}\chi_{-\lambda}(p)
\end{eqnarray}
-\end_inset
+\end_inset
-\layout Section
+\end_layout
+\begin_layout Section
Floating material and so forth
-\layout Standard
+\end_layout
+\begin_layout Standard
Consider a task that computes profile parameters for a modified Lorentzian
of the form
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
-\end_inset
+\end_inset
where
-\begin_inset Formula \[
-d_{1}=\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{R_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\frac{y_{1}}{R_{min}}
-\end{array}\right) ^{2}}\]
+\begin_inset Formula
+\[
+d_{1}=\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{R_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\frac{y_{1}}{R_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-d_{2}=\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{PR_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\case {y_{1}}{PR_{min}}
-\end{array}\right) ^{2}}\]
+\begin_inset Formula
+\[
+d_{2}=\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{PR_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\case{y_{1}}{PR_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-x_{1}=(x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \]
+\begin_inset Formula
+\[
+x_{1}=(x-x_{0})\cos\Theta+(y-y_{0})\sin\Theta
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-y_{1}=-(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta \]
+\begin_inset Formula
+\[
+y_{1}=-(x-x_{0})\sin\Theta+(y-y_{0})\cos\Theta
+\]
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
In these expressions
-\begin_inset Formula \( x_{0} \)
-\end_inset
+\begin_inset Formula $x_{0}$
+\end_inset
,
-\begin_inset Formula \( y_{0} \)
-\end_inset
+\begin_inset Formula $y_{0}$
+\end_inset
is the star center, and
-\begin_inset Formula \( \Theta \)
-\end_inset
+\begin_inset Formula $\Theta$
+\end_inset
is the angle with the
-\begin_inset Formula \( x \)
-\end_inset
+\begin_inset Formula $x$
+\end_inset
axis.
- Results of this task are shown in table\SpecialChar ~
+ Results of this task are shown in table
+\begin_inset space ~
+\end_inset
-\begin_inset LatexCommand \ref{tbl-2}
-\end_inset
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tbl-2"
+
+\end_inset
.
It is not clear how these sorts of analyses may affect determination of
-\begin_inset Formula \( M_{\sun } \)
-\end_inset
-
-, but the assumption is that the alternate results should be less than 90
-\begin_inset ERT
-status Collapsed
-
-\layout Standard
+\begin_inset Formula $M_{\sun}$
+\end_inset
-\backslash
-degr
-\backslash
-
-\end_inset
-
-out of phase with previous values.
+, but the assumption is that the alternate results should be less than 90°
+ out of phase with previous values.
We have no observations of
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
ion{Ca}{2}
-\end_inset
+\end_layout
+
+\end_inset
.
Roughly
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
slantfrac{4}{5}
-\end_inset
+\end_layout
+
+\end_inset
of the electronically submitted abstracts for AAS meetings are error-free.
-\layout Acknowledgements
+\end_layout
-\layout Standard
+\begin_layout Acknowledgements
+\end_layout
+
+\begin_layout Standard
We are grateful to V.
Barger, T.
Han, and R.
J.
N.
- Phillips for doing the math in section\SpecialChar ~
+ Phillips for doing the math in section
+\begin_inset space ~
+\end_inset
+
-\begin_inset LatexCommand \ref{bozomath}
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "bozomath"
-\end_inset
+\end_inset
.
- More information on the AASTeX macros package are available at
+ More information on the AAS\SpecialChar TeX
+ macros package are available at
+\begin_inset Flex URL
+status collapsed
-\begin_inset LatexCommand \url{http://www.aas.org/publications/aastex}
+\begin_layout Plain Layout
-\end_inset
+http://www.aas.org/publications/aastex
+\end_layout
+\end_inset
or the
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
-anchor{ftp://www.aas.org/pubs/}{AAS ftp site}
-\end_inset
+\backslash
+anchor{
+\end_layout
+
+\end_inset
+
+ftp://www.aas.org/pubs/
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+
+AAS ftp site
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
.
-\layout Appendix
+
+\end_layout
-\layout Section
+\begin_layout Software
+IRAF, AIPS, Astropy, ...
+
+\end_layout
+\begin_layout Appendix
+
+\end_layout
+
+\begin_layout Section
Appendicial material
-\layout Standard
+\end_layout
+\begin_layout Standard
Consider once again a task that computes profile parameters for a modified
Lorentzian of the form
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
-\end_inset
+\end_inset
where
-\layout MathLetters
-
+\end_layout
-\begin_inset Formula \[
-d_{1}=\frac{3}{4}\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{R_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\frac{y_{1}}{R_{min}}
-\end{array}\right) ^{2}}\]
+\begin_layout MathLetters
+\begin_inset Formula
+\[
+d_{1}=\frac{3}{4}\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{R_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\frac{y_{1}}{R_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \begin{equation}
-d_{2}=\case {3}{4}\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{PR_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\case {y_{1}}{PR_{min}}
-\end{array}\right) ^{2}}
+\begin_inset Formula
+\begin{equation}
+d_{2}=\case{3}{4}\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{PR_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\case{y_{1}}{PR_{min}}\end{array}\right)^{2}}
\end{equation}
-\end_inset
+\end_inset
-\begin_inset Formula \begin{eqnarray}
-x_{1} & = & (x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \\
-y_{1} & = & -(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta
+\begin_inset Formula
+\begin{eqnarray}
+x_{1} & = & (x-x_{0})\cos\Theta+(y-y_{0})\sin\Theta\\
+y_{1} & = & -(x-x_{0})\sin\Theta+(y-y_{0})\cos\Theta
\end{eqnarray}
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
For completeness, here is one last equation.
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
e=mc^{2}
\end{equation}
-\end_inset
+\end_inset
-\layout References
-\bibitem [Auri\`ere(1982)]{aur82}
+\end_layout
-Auri\i \`{e}
-re, M.
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Auri\\`ere(1982)"
+key "aur82"
+
+\end_inset
+
+Aurière, M.
1982,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
aap
-\end_inset
+\end_layout
+
+\end_inset
, 109, 301
-\layout References
-\bibitem [Canizares et al.(1978)]{can78}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Canizares et al.(1978)"
+key "can78"
+
+\end_inset
Canizares, C.
R., Grindlay, J.
E.
1978,
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
apj
-\end_inset
+\end_layout
+
+\end_inset
, 224, 39
-\layout References
-\bibitem [Djorgovski and King(1984)]{djo84}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Djorgovski and King(1984)"
+key "djo84"
+
+\end_inset
Djorgovski, S., and King, I.
R.
1984,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
apjl
-\end_inset
+\end_layout
+
+\end_inset
, 277, L49
-\layout References
-\bibitem [Hagiwara and Zeppenfeld(1986)]{hag86}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Hagiwara and Zeppenfeld(1986)"
+key "hag86"
+
+\end_inset
Hagiwara, K., and Zeppenfeld, D.
1986, Nucl.Phys., 274, 1
-\layout References
-\bibitem [Harris and van den Bergh(1984)]{har84}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Harris and van den Bergh(1984)"
+key "har84"
+
+\end_inset
Harris, W.
E., and van den Bergh, S.
1984,
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
aj
-\end_inset
+\end_layout
+
+\end_inset
, 89, 1816
-\layout References
-\bibitem [H\`enon(1961)]{hen61}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "H\\`enon(1961)"
+key "hen61"
-H\i \'{e}
-non, M.
+\end_inset
+
+Hénon, M.
1961, Ann.d'Ap., 24, 369
-\layout References
-\bibitem [King(1966)]{kin66}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "King(1966)"
+key "kin66"
+
+\end_inset
King, I.
R.
1966,
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
aj
-\end_inset
+\end_layout
+
+\end_inset
, 71, 276
-\layout References
-\bibitem [King(1975)]{kin75}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "King(1975)"
+key "kin75"
+
+\end_inset
King, I.
R.
1975, Dynamics of Stellar Systems, A.
Hayli, Dordrecht: Reidel, 1975, 99
-\layout References
-\bibitem [King et al.(1968)]{kin68}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "King et al.(1968)"
+key "kin68"
+
+\end_inset
King, I.
R., Hedemann, E., Hodge, S.
E.
1968,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
aj
-\end_inset
+\end_layout
+
+\end_inset
, 73, 456
-\layout References
-\bibitem [Kron et al.(1984)]{kro84}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Kron et al.(1984)"
+key "kro84"
+
+\end_inset
Kron, G.
E., Hewitt, A.
H.
1984,
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
pasp
-\end_inset
+\end_layout
+
+\end_inset
, 96, 198
-\layout References
-\bibitem [Lynden-Bell and Wood(1968)]{lyn68}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Lynden-Bell and Wood(1968)"
+key "lyn68"
+
+\end_inset
Lynden-Bell, D., and Wood, R.
1968,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
mnras
-\end_inset
+\end_layout
+
+\end_inset
, 138, 495
-\layout References
-\bibitem [Newell and O'Neil(1978)]{new78}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Newell and O'Neil(1978)"
+key "new78"
+
+\end_inset
Newell, E.
B., and O'Neil, E.
J.
1978,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
apjs
-\end_inset
+\end_layout
+
+\end_inset
, 37, 27
-\layout References
-\bibitem [Ortolani et al.(1985)]{ort85}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Ortolani et al.(1985)"
+key "ort85"
+
+\end_inset
Ortolani, S., Rosino, L., and Sandage, A.
1985,
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
aj
-\end_inset
+\end_layout
+
+\end_inset
, 90, 473
-\layout References
-\bibitem [Peterson(1976)]{pet76}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Peterson(1976)"
+key "pet76"
+
+\end_inset
Peterson, C.
J.
1976,
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
aj
-\end_inset
+\end_layout
+
+\end_inset
, 81, 617
-\layout References
-\bibitem [Spitzer(1985)]{spi85}
+\end_layout
+
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Spitzer(1985)"
+key "spi85"
+
+\end_inset
Spitzer, L.
1985, Dynamics of Star Clusters, J.
Goodman and P.
Hut, Dordrecht: Reidel, 109
-\layout Standard
+\end_layout
+\begin_layout Standard
+\begin_inset Newpage clearpage
+\end_inset
-\begin_inset ERT
-status Collapsed
-\layout Standard
+\end_layout
-\backslash
-clearpage
-\end_inset
+\begin_layout Standard
+\begin_inset Caption FigCaption
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig1"
-\layout FigCaption
+\end_inset
+This is the first figure and it uses sgi9259.eps as its EPS figure file.
+\end_layout
-\begin_inset LatexCommand \label{fig1}
+\end_inset
-\end_inset
-This is the first figure and it uses sgi9259.eps as its EPS figure file.
-\layout FigCaption
+\end_layout
+\begin_layout Standard
+\begin_inset Caption FigCaption
-\begin_inset LatexCommand \label{fig2}
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig2"
-\end_inset
+\end_inset
This is an example of a long figure caption that must be set as a paragraph.
The processor has to buffer the text of the caption, so it is good not
to be too wordy, but that would make for poor communication as well.
-\layout FigCaption
+\end_layout
+\end_inset
-\begin_inset LatexCommand \label{fig3}
-\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Caption FigCaption
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig3"
+
+\end_inset
This figure has no associated EPS file, so the optional parameter is omitted.
-\layout Standard
+\end_layout
+\end_inset
-\begin_inset ERT
-status Collapsed
-\layout Standard
+\end_layout
-\backslash
-clearpage
-\end_inset
+\begin_layout Standard
+\begin_inset Newpage clearpage
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
\begin_inset Float table
wide false
-collapsed false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
-\layout Caption
-\added_space_bottom medskip
+\begin_layout Plain Layout
Terribly relevant tabular information.
-\begin_inset LatexCommand \label{tbl-2}
+\begin_inset CommandInset label
+LatexCommand label
+name "tbl-2"
+
+\end_inset
-\end_inset
+\end_layout
-\layout Standard
+\end_inset
-\begin_inset Tabular
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="13">
-<features endhead="-1" endfirsthead="-1" endfoot="-1" endlastfoot="-1">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
Star
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
Height
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( d_{x} \)
-\end_inset
+\begin_inset Formula $d_{x}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( d_{y} \)
-\end_inset
+\begin_inset Formula $d_{y}$
+\end_inset
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( n \)
-\end_inset
+\begin_inset Formula $n$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( \chi ^{2} \)
-\end_inset
+\begin_inset Formula $\chi^{2}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( R_{maj} \)
-\end_inset
+\begin_inset Formula $R_{maj}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( R_{min} \)
-\end_inset
+\begin_inset Formula $R_{min}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $P$
+\end_inset
-\begin_inset Formula \( P \)
-\end_inset
+\begin_inset Flex tablenotemark
+status collapsed
+\begin_layout Plain Layout
+a
+\end_layout
-\begin_inset ERT
-status Collapsed
-
-\layout Standard
+\end_inset
-\backslash
-tablenotemark{a}
-\end_inset
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( PR_{maj} \)
-\end_inset
+\begin_inset Formula $PR_{maj}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
-<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-\begin_inset Formula \( PR_{min} \)
-\end_inset
+\begin_inset Formula $PR_{min}$
+\end_inset
+
+\end_layout
-\end_inset
+\end_inset
</cell>
<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $\Theta$
+\end_inset
-\begin_inset Formula \( \Theta \)
-\end_inset
+\begin_inset Flex tablenotemark
+status collapsed
+\begin_layout Plain Layout
+b
+\end_layout
-\begin_inset ERT
-status Collapsed
-
-\layout Standard
+\end_inset
-\backslash
-tablenotemark{b}
-\end_inset
+\end_layout
-\end_inset
+\end_inset
</cell>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
Ref.
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
-
+\begin_layout Plain Layout
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
tableline
-\backslash
+\backslash
tableline
-\end_inset
+\end_layout
+
+\end_inset
1
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
33472.5
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-0.1
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
0.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
53
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
27.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
2.065
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
1.940
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
3.900
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
68.3
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
116.2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-27.639
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
1,2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
27802.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-0.3
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-0.2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
60
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
3.7
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
1.628
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
1.510
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
2.156
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
6.8
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
7.5
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-26.764
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
3
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
3
-\end_inset
+\end_layout
+
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