switches for Julia . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542 42 The World Age mechanism 544 42.1 World age in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1901 106.10 Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . 1907 106.11 SubArrays . . . . . . . . . . . . . . . . generally not recommended unless no other method works. For example, there is no automatic update mechanism for Juliaup with this installation method. The 64 bit version of the MSI installer can be downloaded

switches for Julia . . . . . . . . . . . . . . . . . . . . . . . . . . . . 543 42 The World Age mechanism 545 42.1 World age in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1898 106.10 Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . 1904 106.11 SubArrays . . . . . . . . . . . . . . . . generally not recommended unless no other method works. For example, there is no automatic update mechanism for Juliaup with this installation method. The 64 bit version of the MSI installer can be downloaded

switches for Julia . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542 42 The World Age mechanism 544 42.1 World age in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1898 106.10 Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . 1904 106.11 SubArrays . . . . . . . . . . . . . . . . generally not recommended unless no other method works. For example, there is no automatic update mechanism for Juliaup with this installation method. The 64 bit version of the MSI installer can be downloaded

switches for Julia . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542 42 The World Age mechanism 544 42.1 World age in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1898 106.10 Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . 1904 106.11 SubArrays . . . . . . . . . . . . . . . . generally not recommended unless no other method works. For example, there is no automatic update mechanism for Juliaup with this installation method. The 64 bit version of the MSI installer can be downloaded

. . . . . . . . . . . . . . . . . . . . . . . . 1187 103.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1191 103.11SubArrays . . . . . . . . par�cipate in arithme�c with all other numeric types thanks to Julia's type promo�on and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> parse(BigInt, "123456789012345678901234567890") 5im)^2 -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promo�on mechanism ensures that combina�ons of operands of different types just work: julia> 2(1 - 1im) 2 - 2im julia>

. . . . . . . . . . . . . . . . . . . . . . . . 1189 104.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1193 104.11SubArrays . . . . . . . . par�cipate in arithme�c with all other numeric types thanks to Julia's type promo�on and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> parse(BigInt, "123456789012345678901234567890") 5im)^2 -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promo�on mechanism ensures that combina�ons of operands of different types just work: julia> 2(1 - 1im) 2 - 2im julia>

. . . . . . . . . . . . . . . . . . . . . . . . 1152 101.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1156 101.11SubArrays . . . . . . . . par�cipate in arithme�c with all other numeric types thanks to Julia's type promo�on and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> parse(BigInt, "123456789012345678901234567890") 5im)^2 -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promo�on mechanism ensures that combina�ons of operands of different types just work: julia> 2(1 - 1im) 2 - 2im julia>

. . . . . . . . . . . . . . . . . . . . . . . . 1150 101.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1154 101.11SubArrays . . . . . . . . par�cipate in arithme�c with all other numeric types thanks to Julia's type promo�on and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> parse(BigInt, "123456789012345678901234567890") 5im)^2 -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promo�on mechanism ensures that combina�ons of operands of different types just work: julia> 2(1 - 1im) 2 - 2im julia>

. . . . . . . . . . . . . . . . . . . . . . . . 1303 98.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . 1307 98.11SubArrays . . . . . . . . . . . participate in arithmetic with all other numeric types thanks to Julia's type promotion and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> big"123456789012345678901234567890" -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promotion mechanism ensures that combinations of operands of different types just work: julia> 2(1 - 1im) 2 - 2im

. . . . . . . . . . . . . . . . . . . . . . . . 1307 98.10Talking to the compiler (the :meta mechanism) . . . . . . . . . . . . . . . . . . . . . . . . . . 1311 98.11SubArrays . . . . . . . . . . . participate in arithmetic with all other numeric types thanks to Julia's type promotion and conversion mechanism: julia> BigInt(typemax(Int64)) + 1 9223372036854775808 julia> big"123456789012345678901234567890" -63 - 60im julia> 3(2 - 5im)^-1.0 0.20689655172413796 + 0.5172413793103449im The promotion mechanism ensures that combinations of operands of different types just work: julia> 2(1 - 1im) 2 - 2im