Changed layout for more manageable volumes

1 files changed, 199 insertions, 0 deletions

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+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 620
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass book
+\begin_preamble
+\input defs
+\end_preamble
+\use_default_options true
+\maintain_unincluded_children no
+\language english
+\language_package default
+\inputencoding utf8
+\fontencoding auto
+\font_roman "default" "default"
+\font_sans "default" "default"
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+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
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+\end_header
+
+\begin_body
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+rexerc1[M21]
+\end_layout
+
+\end_inset
+
+In Section 2.3.4 we saw that trees are special cases of the 
+\begin_inset Quotes eld
+\end_inset
+
+classical
+\begin_inset Quotes erd
+\end_inset
+
+ mathematical concept of a directed graph.
+ Can Lists be described in graph-theoretic terminology?
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+answer 
+\end_layout
+
+\end_inset
+
+Yes,
+ we can consider Lists as ordered trees where,
+ in general,
+ only the leaves have labels.
+ If we allow Lists to be referenced from multiple places,
+ then we can consider them as graphs where outgoing arcs from a given node are ordered and such that there is a distinguished vertex 
+\begin_inset Formula $R$
+\end_inset
+
+ such that there is at least one path from 
+\begin_inset Formula $R$
+\end_inset
+
+ to any other vertex.
+ These Lists can be used to reason about computer memory in higher level programming languages.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+exerc6[00]
+\end_layout
+
+\end_inset
+
+The quantitative discussion at the end of this section says that the cost of garbage collection is approximately 
+\begin_inset Formula $c_{1}\mathtt{N}+c_{2}\mathtt{M}$
+\end_inset
+
+ units of time;
+ where does the 
+\begin_inset Quotes eld
+\end_inset
+
+
+\begin_inset Formula $c_{2}\mathtt{M}$
+\end_inset
+
+
+\begin_inset Quotes erd
+\end_inset
+
+ term come from?
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+answer 
+\end_layout
+
+\end_inset
+
+From scanning the memory in search of nodes to collect.
+\end_layout
+
+\end_body
+\end_document