Changeset f9da761 for doc/theses/jiada_liang_MMath/intro.tex

Timestamp:

Feb 16, 2024, 1:26:46 PM (7 months ago)

Author:

Peter A. Buhr <pabuhr@…>

Branches:

master

Children:

38f5006

Parents:

38f4953

Message:

change text to use macros \eg amd \ie

File:

• doc/theses/jiada_liang_MMath/intro.tex (modified) (3 diffs)

doc/theses/jiada_liang_MMath/intro.tex

@@ -1 +1 @@
 \chapter{Introduction}
 
-Naming values is a common practice in mathematics and engineering, e.g., $\pi$, $\tau$ (2$\pi$), $\phi$ (golden ratio), MHz (1E6), etc.
+Naming values is a common practice in mathematics and engineering, \eg $\pi$, $\tau$ (2$\pi$), $\phi$ (golden ratio), MHz (1E6), etc.
 Naming is also commonly used to represent many other numerical phenomenon, such as days of the week, months of a year, floors of a building (basement), specific times (noon, New Years).
 Many programming languages capture this important software-engineering capability through a mechanism called an \Newterm{enumeration}.
@@ -8 +8 @@
 
 Specifically, an enumerated type restricts its values to a fixed set of named constants.
-While all types are restricted to a fixed set of values because of the underlying von Neumann architecture, and hence, to a corresponding set of constants, e.g., @3@, @3.5@, @3.5+2.1i@, @'c'@, @"abc"@, etc., these values are not named, other than the programming-language supplied constant names.
+While all types are restricted to a fixed set of values because of the underlying von Neumann architecture, and hence, to a corresponding set of constants, \eg @3@, @3.5@, @3.5+2.1i@, @'c'@, @"abc"@, etc., these values are not named, other than the programming-language supplied constant names.
 
 Fundamentally, all enumeration systems have an \Newterm{enumeration} type with an associated set of \Newterm{enumerator} names.
@@ -25 +25 @@
 Here, the \Newterm{enumeration} @Weekday@ defines the ordered \Newterm{enumerator}s @Monday@, @Tuesday@, @Wednesday@, @Thursday@, @Friday@, @Saturday@ and @Sunday@.
 By convention, the successor of @Tuesday@ is @Monday@ and the predecessor of @Tuesday@ is @Wednesday@, independent of the associated enumerator constant values.
-Because an enumerator is a constant, it cannot appear in a mutable context, e.g. @Mon = Sun@ is meaningless, and an enumerator has no address, it is an \Newterm{rvalue}\footnote{
+Because an enumerator is a constant, it cannot appear in a mutable context, \eg @Mon = Sun@ is meaningless, and an enumerator has no address, it is an \Newterm{rvalue}\footnote{
 The term rvalue defines an expression that can only appear on the right-hand side of an assignment.}.
+
+\section{Contributions}