Julia can be started in parallel mode with either the -p or the --machine-file op�ons. -p n will launch an addi- �onal n worker processes, while --machine-file file will launch a worker for each line in file the result -L, --load Load immediately on all processors -p, --procs {N|auto} Integer value N launches N addi�onal local worker processes; auto launches as many workers as the number of local equivalent (specifically, Julia iden�fiers are NFC-normalized). The Unicode char- acters (U+025B: La�n small le�er open e) and µ (U+00B5: micro sign) are treated as equivalent to the corresponding Greek

Julia can be started in parallel mode with either the -p or the --machine-file op�ons. -p n will launch an addi- �onal n worker processes, while --machine-file file will launch a worker for each line in file the result -L, --load Load immediately on all processors -p, --procs {N|auto} Integer value N launches N addi�onal local worker processes; auto launches as many workers as the number of local equivalent (specifically, Julia iden�fiers are NFC-normalized). The Unicode char- acters (U+025B: La�n small le�er open e) and µ (U+00B5: micro sign) are treated as equivalent to the corresponding Greek

inv(::Missing) has now been added and returns missing (#31451). • nextfloat(::BigFloat, n::Integer) and prevfloat(::BigFloat, n::Integer) methods have been added (#31310). 17 18 CHAPTER 7. STANDARD LIBRARY CHANGES Julia can be started in parallel mode with either the -p or the --machine-file op�ons. -p n will launch an addi- �onal n worker processes, while --machine-file file will launch a worker for each line in file the result -L, --load Load immediately on all processors -p, --procs {N|auto} Integer value N launches N addi�onal local worker processes; auto launches as many workers as the number of local

inv(::Missing) has now been added and returns missing (#31451). • nextfloat(::BigFloat, n::Integer) and prevfloat(::BigFloat, n::Integer) methods have been added (#31310). • Support for Unicode 12.0.0 (#31561) Julia can be started in parallel mode with either the -p or the --machine-file op�ons. -p n will launch an addi- �onal n worker processes, while --machine-file file will launch a worker for each line in file the result -L, --load Load immediately on all processors -p, --procs {N|auto} Integer value N launches N addi�onal local worker processes; auto launches as many workers as the number of local

-2^63 2^63 - 1 UInt64 64 0 2^64 - 1 Int128 ✓ 128 -2^127 2^127 - 1 UInt128 128 0 2^128 - 1 Bool N/A 8 false (0) true (1) • Floating-point types: Additionally, full support for Complex and Rational representable by T. • x % T converts an integer x to a value of integer type T congruent to x modulo 2^n, where n is the number of bits in T. In other words, the binary representation is truncated to fit. • exponential function at x expm1(x) accurate exp(x)-1 for x near zero ldexp(x,n) x*2^n computed efficiently for integer values of n log(x) natural logarithm of x log(b,x) base b logarithm of x log2(x) base

-2^63 2^63 - 1 UInt64 64 0 2^64 - 1 Int128 ✓ 128 -2^127 2^127 - 1 UInt128 128 0 2^128 - 1 Bool N/A 8 false (0) true (1) • Floating-point types: 15 CHAPTER 5. INTEGERS AND FLOATING-POINT NUMBERS representable by T. • x % T converts an integer x to a value of integer type T congruent to x modulo 2^n, where n is the number of bits in T. In other words, the binary representation is truncated to fit. • exponential function at x expm1(x) accurate exp(x) - 1 for x near zero ldexp(x, n) x * 2^n computed efficiently for integer values of n log(x) natural logarithm of x log(b, x) base b logarithm of x log2(x)

-2^63 2^63 - 1 UInt64 64 0 2^64 - 1 Int128 ✓ 128 -2^127 2^127 - 1 UInt128 128 0 2^128 - 1 Bool N/A 8 false (0) true (1) • Floating-point types: 15 CHAPTER 5. INTEGERS AND FLOATING-POINT NUMBERS representable by T. • x % T converts an integer x to a value of integer type T congruent to x modulo 2^n, where n is the number of bits in T. In other words, the binary representation is truncated to fit. • exponential function at x expm1(x) accurate exp(x) - 1 for x near zero ldexp(x, n) x * 2^n computed efficiently for integer values of n log(x) natural logarithm of x log(b, x) base b logarithm of x log2(x)

-2^63 2^63 - 1 UInt64 64 0 2^64 - 1 Int128 ✓ 128 -2^127 2^127 - 1 UInt128 128 0 2^128 - 1 Bool N/A 8 false (0) true (1) • Floating-point types: 15 CHAPTER 5. INTEGERS AND FLOATING-POINT NUMBERS representable by T. • x % T converts an integer x to a value of integer type T congruent to x modulo 2^n, where n is the number of bits in T. In other words, the binary representation is truncated to fit. • exponential function at x expm1(x) accurate exp(x) - 1 for x near zero ldexp(x, n) x * 2^n computed efficiently for integer values of n log(x) natural logarithm of x log(b, x) base b logarithm of x log2(x)

dot, which conflicts with that in LinearAlgebra (#31838). • diagm and spdiagm now accept op�onal m,n ini�al arguments to specify a size (#31654). • Hessenberg factoriza�ons H now support efficient shi�ed SparseMatrixCSC(m,n,colptr,rowval,nzval) perform consistency checks for arguments: colptr must be properlypopulated and lengths of colptr, rowval, and nzval must be compa�blewith m, n, and eltype(colptr) eltype(colptr). • sparse(I, J, V, m, n) verifies lengths of I, J, V are equal and compa�ble with eltype(I) and m, n. 17 18 CHAPTER 7. STANDARD LIBRARY CHANGES Dates • DateTime and Time forma�ng/parsing now supports

dot, which conflicts with that in LinearAlgebra (#31838). • diagm and spdiagm now accept op�onal m,n ini�al arguments to specify a size (#31654). • Hessenberg factoriza�ons H now support efficient shi�ed SparseMatrixCSC(m,n,colptr,rowval,nzval) perform consistency checks for arguments: colptr must be properlypopulated and lengths of colptr, rowval, and nzval must be compa�blewith m, n, and eltype(colptr) eltype(colptr). • sparse(I, J, V, m, n) verifies lengths of I, J, V are equal and compa�ble with eltype(I) and m, n. 17 18 CHAPTER 7. STANDARD LIBRARY CHANGES Dates • DateTime and Time forma�ng/parsing now supports