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Expression syntax are used to describe mathematical operations, functions and conditions in applets.

In the generic framework expressions are used to describe the value of a number or function variables.

Category | Syntax | Examples |
---|---|---|

Numbers | 0-9 | 1+2 |

$\pi$ | pi | pi/2 |

Parentheses | () | (-x+1)*(x+2) |

Standard Operations | +,-,/,*,^ | 1+2, pi/2 |

Absolute value | abs(arg) or |arg| | abs(x), |

Trigonometric functions | sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, asinh, acosh, atanh | sin(2*pi), (cos(x))^2 |

Signum | sign(arg) | sign(x+2) |

Theta | theta(arg) | theta(x) |

Dirac delta function (1 for x = 0, 0 otherwise) | dirac(arg) | dirac(x) |

Exponential function | exp(x) or e^x | exp(2*x) |

This is used to described conditions, such as in \randadjustif or in generic visualization's \IFELSE command

It is basically a relation between the values of two Operations or function from the 1st category

Category | Syntax | Examples | Note |
---|---|---|---|

Equal | left=right | x=0, x=y, |(x)|=1 | is true if the value of the left side equals the value of the right side |

Not equal | left!=right | x!=0, x!=y | |

Greater than | left>right | x > y | |

Less than | left < right | x < y | |

Greater than or equal | left >=right | x >= y | |

Less than or equal | left <=right | x <= y, abs(x)<3, sin(x)<0.5 | |

Grouping brackets | [left>=right] | [abs(x)>3] AND [abs(x)<5] | use to group a relation |

Negation | NOT [left > right] | NOT [x = y] | negate the relation in the brackets, returns true if x != y |

AND | [cond1] AND [cond2] | [x>0] AND [x<3] | |

OR | [cond1] OR [cond2] | [x<0] OR [x>3] |

In a generic visualization, `var(arg)`

can be used in operations or conditions and it will be replaced by the value of

the variable with the name arg. Remember to write var as a function `var(x)`

and *not* as a Tex-command \var{x}.

12345 `\begin{variables}`

` `

`\randint{x}{-5}{5} %create two random integers`

` `

`\randint{y}{-5}{5} `

` `

`\point{p1}{real}{var(x),var(y)} %creates a point on (x,y) depending on the values of x and y.`

`\end{variables}`

Updated by **Greiser**, **7 months ago **– 41bee4e