defini- tion of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: CHAPTER 11. TYPES 120 struct Rational{T<:Integer} Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line and has been serialized by a compatible implementation of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

defini- tion of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: CHAPTER 11. TYPES 120 struct Rational{T<:Integer} Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line and has been serialized by a compatible implementation of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

defini- tion of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: CHAPTER 11. TYPES 120 struct Rational{T<:Integer} Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line and has been serialized by a compatible implementation of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

defini- tion of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: CHAPTER 11. TYPES 120 struct Rational{T<:Integer} Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line and has been serialized by a compatible implementation of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

actual defini�on of Julia's Rational immutable type (except that we omit the constructor here for simplicity), represen�ng an exact ra�o of integers: struct Rational{T<:Integer} <: Real num::T den::T end Square Bracket U+023B6 \bbrktbrk Bo�om Square Bracket Over Top Square Bracket U+023B7 \sqrtbo�om Radical Symbol Bo�om U+023B8 \lvboxline Le� Ver�cal Box Line U+023B9 \rvboxline Right Ver�cal Box Line correct and has been serialized by a compa�ble implementa�on of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

actual defini�on of Julia's Rational immutable type (except that we omit the constructor here for simplicity), represen�ng an exact ra�o of integers: struct Rational{T<:Integer} <: Real num::T den::T end Square Bracket U+023B6 \bbrktbrk Bo�om Square Bracket Over Top Square Bracket U+023B7 \sqrtbo�om Radical Symbol Bo�om U+023B8 \lvboxline Le� Ver�cal Box Line U+023B9 \rvboxline Right Ver�cal Box Line correct and has been serialized by a compa�ble implementa�on of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

actual defini�on of Julia's Rational immutable type (except that we omit the constructor here for simplicity), represen�ng an exact ra�o of integers: struct Rational{T<:Integer} <: Real num::T den::T end Square Bracket U+023B6 \bbrktbrk Bo�om Square Bracket Over Top Square Bracket U+023B7 \sqrtbo�om Radical Symbol Bo�om U+023B8 \lvboxline Le� Ver�cal Box Line U+023B9 \rvboxline Right Ver�cal Box Line correct and has been serialized by a compa�ble implementa�on of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

actual defini�on of Julia's Rational immutable type (except that we omit the constructor here for simplicity), represen�ng an exact ra�o of integers: struct Rational{T<:Integer} <: Real num::T den::T end Square Bracket U+023B6 \bbrktbrk Bo�om Square Bracket Over Top Square Bracket U+023B7 \sqrtbo�om Radical Symbol Bo�om U+023B8 \lvboxline Le� Ver�cal Box Line U+023B9 \rvboxline Right Ver�cal Box Line correct and has been serialized by a compa�ble implementa�on of serialize. It has been designed with simplicity and performance as a goal and does not validate the data read. Malformed data can result in process

Only values, not variables, have types – variables are simply names bound to values, although for simplicity we may say "type of a variable" as shorthand for "type of the value to which a variable refers" actual definition of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: struct Rational{T<:Integer} <: Real num::T den::T Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line

Only values, not variables, have types – variables are simply names bound to values, although for simplicity we may say "type of a variable" as shorthand for "type of the value to which a variable refers" actual definition of Julia's Rational immutable type (except that we omit the constructor here for simplicity), representing an exact ratio of integers: struct Rational{T<:Integer} <: Real num::T den::T Square Bracket U+023B6 \bbrktbrk Bottom Square Bracket Over Top Square Bracket U+023B7 \sqrtbottom Radical Symbol Bottom U+023B8 \lvboxline Left Vertical Box Line U+023B9 \rvboxline Right Vertical Box Line