Func�ons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 578 52 Examples 591 53 Numbers 609 53.1 Standard Numeric Types . . . . . . . . . . . . . . . . . . . . . . . . . . . U+1D58F \bfrakj Mathema�cal Bold Fraktur Small J U+1D590 \bfrakk Mathema�cal Bold Fraktur Small K U+1D591 \bfrakl Mathema�cal Bold Fraktur Small L U+1D592 \bfrakm Mathema�cal Bold Fraktur Small M U+1D593 (BigFloat only) • RoundUp • RoundDown source Base.Rounding.RoundNearest – Constant. RoundNearest 591 592 CHAPTER 52. EXAMPLES The default rounding mode. Rounds to the nearest integer, with �es (frac�onal

Set-Like Collections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 42.8 Dequeues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 • WeakKeyDict Partially implemented by: • BitSet • Set • EnvDict 42.7. SET-LIKE COLLECTIONS 591 • Array • BitArray • ImmutableDict • Iterators.Pairs 42.7 Set-Like Collections Base.AbstractSet

41.14 Errors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.15 Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 601 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 v"1.2.3" julia> a >= v"1.2" true julia> b = VersionNumber("2.0.1-rc1") CHAPTER 41. ESSENTIALS 591 v"2.0.1-rc1" julia> b >= v"2.0.1" false source Base.@v_str – Macro. @v_str String macro used

574 41.11 Missing Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.12 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 julia> @deprecate old(x) new(x) false old (generic function with 1 method) CHAPTER 41. ESSENTIALS 591 Calls to @deprecate without explicit type-annotations will define deprecated methods accepting any

574 41.11 Missing Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.12 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 julia> @deprecate old(x) new(x) false old (generic function with 1 method) CHAPTER 41. ESSENTIALS 591 Calls to @deprecate without explicit type-annotations will define deprecated methods accepting any

574 41.11 Missing Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.12 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 julia> @deprecate old(x) new(x) false old (generic function with 1 method) CHAPTER 41. ESSENTIALS 591 Calls to @deprecate without explicit type-annotations will define deprecated methods accepting any

574 41.11 Missing Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.12 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 julia> @deprecate old(x) new(x) false old (generic function with 1 method) CHAPTER 41. ESSENTIALS 591 Calls to @deprecate without explicit type-annotations will define deprecated methods accepting any

574 41.11 Missing Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 41.12 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 \bfrakj Mathematical Bold Fraktur Small J U+1D590 \bfrakk Mathematical Bold Fraktur Small K U+1D591 \bfrakl Mathematical Bold Fraktur Small L U+1D592 \bfrakm Mathematical Bold Fraktur Small M U+1D593 the process. To prevent old from being exported, set export_old to false. CHAPTER 41. ESSENTIALS 591 Julia 1.5 As of Julia 1.5, functions defined by @deprecate do not print warning when julia is run

U+1D58F \bfrakj Mathema�cal Bold Fraktur Small J U+1D590 \bfrakk Mathema�cal Bold Fraktur Small K U+1D591 \bfrakl Mathema�cal Bold Fraktur Small L U+1D592 \bfrakm Mathema�cal Bold Fraktur Small M U+1D593 meth- ods. source ==(a::AbstractString, b::AbstractString) -> Bool 51.1. MATHEMATICAL OPERATORS 591 Test whether two strings are equal character by character (technically, Unicode code point by code

U+1D58F \bfrakj Mathema�cal Bold Fraktur Small J U+1D590 \bfrakk Mathema�cal Bold Fraktur Small K U+1D591 \bfrakl Mathema�cal Bold Fraktur Small L U+1D592 \bfrakm Mathema�cal Bold Fraktur Small M U+1D593 exponen�al of x, in other words 2x. Examples julia> exp2(5) 32.0 source 51.2. MATHEMATICAL FUNCTIONS 591 Base.exp10 – Func�on. exp10(x) Compute the base 10 exponen�al of x, in other words 10x. Examples