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Decapitalize prep docs
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kwankyu committed Feb 2, 2025
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12 changes: 6 additions & 6 deletions src/doc/en/prep/index.rst
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Expand Up @@ -35,10 +35,10 @@ Contents:
.. toctree::
:maxdepth: 2

Prelude - Getting Logged In <Logging-On>
Introductory Tutorial <Intro-Tutorial>
Basic Symbolics and Plotting <Symbolics-and-Basic-Plotting>
Calculus <Calculus>
Introductory Programming <Programming>
Advanced 2D Plotting <Advanced-2DPlotting>
Prelude - Getting Logged In <logging-on>
Introductory Tutorial <intro-tutorial>
Basic Symbolics and Plotting <symbolics-and-basic-plotting>
Calculus <calculus>
Introductory Programming <programming>
Advanced 2D Plotting <advanced-2D-plotting>
Quickstart Tutorials <quickstart>
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Expand Up @@ -14,8 +14,8 @@ by NSF DUE 0817071). It is licensed under the Creative Commons
Attribution\-ShareAlike 3.0 license (`CC BY\-SA
<http://creativecommons.org/licenses/by-sa/3.0/>`_).

If you are unsure how to log on to a Sage server, start using a local
installation, or to create a new worksheet, you might find the
If you are unsure how to log on to a Sage server, start using a local
installation, or to create a new worksheet, you might find the
:doc:`prelude on logging in <Logging-On>` helpful.

Otherwise, you can continue with this tutorial, which has the
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Expand Up @@ -19,7 +19,7 @@ This document describes how to get into a Sage worksheet in the first
place. If you already feel comfortable with this process, or at least
comfortable enough to see how to actually use Sage, the main content of
the tutorials begins with :doc:`the introductory tutorial
<Intro-Tutorial>`.
<intro-tutorial>`.

There are three main types of worksheets for Sage, all of which have
somewhat similar behavior.
Expand All @@ -46,7 +46,7 @@ Sage you may see a screen like this.

There are three actions you can take, each of which is highlighted
in the next picture. Note that if you have no previous worksheets,
the third option to "export" them will not make sense.
the third option to "export" them will not make sense.

.. image:: media/NotebookExportDetails.png
:align: center
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20 changes: 10 additions & 10 deletions src/doc/en/prep/quickstart.rst
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Expand Up @@ -19,20 +19,20 @@ reference manual.

Finally, the last tutorial is a special one introducing the reader to
creation of interactive material in Sage. It's highly recommended that
you study the :doc:`Programming tutorial <Programming>` before tackling
you study the :doc:`Programming tutorial <programming>` before tackling
this one.

Contents:

.. toctree::
:maxdepth: 2

Abstract Algebra <Quickstarts/Abstract-Algebra>
Differential Equations <Quickstarts/Differential-Equations>
Graph Theory/Discrete Math <Quickstarts/Graphs-and-Discrete>
Linear Algebra <Quickstarts/Linear-Algebra>
Multivariable Calculus <Quickstarts/Multivariable-Calculus>
Numerical Analysis <Quickstarts/NumAnalysis>
Number Theory/Cryptography <Quickstarts/Number-Theory>
Statistics and Distributions <Quickstarts/Statistics-and-Distributions>
Creating Interacts <Quickstarts/Interact>
Abstract Algebra <quickstarts/abstract-algebra>
Differential Equations <quickstarts/differential-equations>
Graph Theory/Discrete Math <quickstarts/graphs-and-discrete>
Linear Algebra <quickstarts/linear-algebra>
Multivariable Calculus <quickstarts/multivariable-calculus>
Numerical Analysis <quickstarts/numerical-analysis>
Number Theory/Cryptography <quickstarts/number-theory>
Statistics and Distributions <quickstarts/statistics-and-distributions>
Creating Interacts <quickstarts/interact>
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Expand Up @@ -253,7 +253,7 @@ Cryptography (for education)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This is also briefly mentioned in the :doc:`Number theory quickstart
<Number-Theory>`. Sage has a number of good pedagogical resources
<number-theory>`. Sage has a number of good pedagogical resources
for cryptography.

.. skip
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Expand Up @@ -45,7 +45,7 @@ This was important because it allowed you to step back and think about
what you would really be doing.

Now for the technical part. We make this a ``def`` function \- see the
:doc:`programming tutorial <../Programming>`.
:doc:`programming tutorial <../programming>`.

::

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Expand Up @@ -17,7 +17,7 @@ Linear algebra underpins a lot of Sage's algorithms, so it is fast,
robust and comprehensive. We've already seen some basic linear algebra,
including matrices, determinants, and the ``.rref()`` method for
row-reduced echelon form in the :doc:`Programming Tutorial
<../Programming>`, so the content here continues from there to some
<../programming>`, so the content here continues from there to some
extent.

Matrices and Vectors
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sage: H.eigenvalues() # random
[-10.08361801792048?, -2.682220984496031?, 4.739405672111427?, -1.320116668180795? - 10.88676412262347?*I, -1.320116668180795? + 10.88676412262347?*I]

According to the :doc:`Numerical analysis quickstart <NumAnalysis>`,
According to the :doc:`Numerical analysis quickstart <numerical-analysis>`,
the question marks indicate that the actual
number is inside the interval found by incrementing and
decrementing the last digit of the printed number. So 9.1? is a number
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Expand Up @@ -105,7 +105,7 @@ substitute explicitly.

Here we compute the arclength between :math:`t=0` and :math:`t=1` by
integrating the normalized derivative. As pointed out in the
:doc:`calculus tutorial <../Calculus>`, the syntax for
:doc:`calculus tutorial <../calculus>`, the syntax for
``numerical_integral`` is slightly nonstandard -- we just put in the
endpoints, not the variable.

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