expression types
| Type | Description | Input Example |
|---|---|---|
| Integer | integer numbers | 42 |
| Rational | rational numbers | 13/17 |
| Complex | complex numbers | 2+I*1/3 |
| Real | double values | 0.5 |
| Complex Real | complex double values | 0.5-I*0.25 |
| Evaluation Precedence | control precedence with (...)
|
(a+b)*c |
| Lists | comma separated list of elements which are surrounded by { ... }
|
{a, b, c, d} |
| Vectors | vectors are like list, but cannot contain sub-lists { ... }
|
{1, 2, 3, 4} |
| Matrices | a matrix contains the rows as sub-lists | {{1, 2}, {3, 4}} |
| Associations | comma separated list of rules which are surrounded by <| ... |> and create a dictionary or map |
<|a->x, b->y, ...|> |
| Predefined Functions | predefined function names start with an upper case character and the arguments are enclosed by ( ... )
|
Sin(0), PrimeQ(13) |
| Predefined Constants | predefined constant names start with an upper case character | Degree, E, Pi, False, True, ... |
| User-defined variables | identifiers which you would like to assign a value start with a $ character in the server environment |
$a=42 |
| User-defined variables | in the Symja console app user-defined variables can be defined without a preceding $ character |
a=42 |
| User-defined rules | identifiers which you would like to assign a rule start with a $ character in the server environment |
$f(x_,y_):={x,y} |
| User-defined rules | in the Symja console app user-defined rules can be defined without a preceding $ character |
f(x_,y_):={x,y} |
| Pattern Symbols | patterns end with an appended _ character and could have a constraint |
$f(x_Integer):={x} |
| Strings | character strings are enclosed by double quote characters | "Hello World" |
| Slots | a # character followed by an optional integer number |
# or #2
|
| Pure Functions | pure functions can be expressed with the & operator |
(#^3)&[x] gives x^3
|
| Parts of an expression | expr[[index]] |
{a, b, c, d}[[2]] gives b
|
