Difference between revisions of "Boolean values"
From GeoGebra Manual
(added <code> formatting) |
m |
||
| (13 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{objects|general}} |
| − | {{objects|general}} | ||
You can use the Boolean variables ''true'' and ''false'' in GeoGebra. Just type, for example, | You can use the Boolean variables ''true'' and ''false'' in GeoGebra. Just type, for example, | ||
| − | <code>a = true</code> or <code>b = false</code> into the [[Input Bar]] and press the Enter | + | <code>a = true</code> or <code>b = false</code> into the [[Input Bar]] and press the {{KeyCode|Enter}} key. |
| + | With Boolean variables you can e.g. define the [[Conditional Visibility|conditional visibility]] of an object. | ||
==Check Box and Arrow Keys== | ==Check Box and Arrow Keys== | ||
| − | Free Boolean variables can be displayed as check boxes in the [[Graphics View]] (see tool | + | Free Boolean variables can be displayed as check boxes in the [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]] (see tool |
| − | [[Image: | + | [[Image:Mode showcheckbox.svg|link=|22px]][[Check Box Tool]]). After selecting a Boolean variable in the [[File:Menu view algebra.svg|link=|16px]] [[Algebra View]] you can use the arrow keys to change the value of the Boolean variable (see [[Animation#Manual Animation| Manual Animation]]). |
| + | |||
| + | {{Note|You may also use Boolean variables like numbers (value 0 or 1). This allows you to use a checkbox as the dynamic speed of an animated slider allowing you to start and stop the animation. In this case, the animation button is only shown in the [[File:Menu view graphics.svg|link=|16px]] ''Graphics View'' if there is also an animated slider with static (i.e. non-dynamic) speed.}} | ||
| − | |||
==Operations== | ==Operations== | ||
| Line 24: | Line 25: | ||
|== | |== | ||
|a ≟ b or a == b | |a ≟ b or a == b | ||
| − | |numbers, points, lines, conics a, b | + | |numbers, points, lines, conics, functions (needs CAS), planes, a, b |
|- | |- | ||
| − | | | + | |Not equal |
|≠ | |≠ | ||
|!= | |!= | ||
|a ≠ b or a != b | |a ≠ b or a != b | ||
| − | |numbers, points, lines, conics a, b | + | |numbers, points, lines, conics, functions (needs CAS), planes a, b |
|- | |- | ||
|Less than | |Less than | ||
| − | | | + | | |
|< | |< | ||
|a < b | |a < b | ||
| Line 39: | Line 40: | ||
|- | |- | ||
|Greater than | |Greater than | ||
| − | | | + | | |
|> | |> | ||
|a > b | |a > b | ||
| Line 60: | Line 61: | ||
|&& | |&& | ||
|a ∧ b or a && b | |a ∧ b or a && b | ||
| − | | | + | |booleans a, b |
|- | |- | ||
|Or | |Or | ||
|∨ | |∨ | ||
| − | |<nowiki>| |</nowiki> | + | |<nowiki>||</nowiki> |
|a ∨ b or <nowiki>a || b</nowiki> | |a ∨ b or <nowiki>a || b</nowiki> | ||
| − | | | + | |booleans a, b |
|- | |- | ||
|Not | |Not | ||
| Line 72: | Line 73: | ||
|! | |! | ||
|¬a or !a | |¬a or !a | ||
| − | | | + | |boolean a |
| + | |- | ||
| + | |Exclusive or | ||
| + | | | ||
| + | |{{KeyCode|Alt}}{{KeyCode|+}} | ||
| + | |a ⊕ b | ||
| + | |booleans a, b | ||
| + | |- | ||
| + | |Implication | ||
| + | |→ | ||
| + | |<nowiki>-></nowiki> | ||
| + | |a -> b | ||
| + | |booleans a, b | ||
|- | |- | ||
|Parallel | |Parallel | ||
| Line 85: | Line 98: | ||
|a ⊥ b | |a ⊥ b | ||
|lines a, b | |lines a, b | ||
| + | |- | ||
| + | |Belongs to | ||
| + | |∈ | ||
| + | | | ||
| + | |a ∈ list1 | ||
| + | |number a, list of numbers list1 | ||
| + | |- | ||
| + | |Subset | ||
| + | |⊆ | ||
| + | | | ||
| + | |list1 ⊆ list2 | ||
| + | |lists list1 and list2 | ||
| + | |- | ||
| + | |Proper subset | ||
| + | |⊂ | ||
| + | | | ||
| + | |list1 ⊂ list2 | ||
| + | |lists list1 and list2 | ||
| + | |- | ||
|} | |} | ||
Latest revision as of 15:44, 18 August 2022
You can use the Boolean variables true and false in GeoGebra. Just type, for example,
a = true or b = false into the Input Bar and press the Enter key.
With Boolean variables you can e.g. define the conditional visibility of an object.
Check Box and Arrow Keys
Free Boolean variables can be displayed as check boxes in the 
Graphics View (see tool
Check Box Tool). After selecting a Boolean variable in the 
Algebra View you can use the arrow keys to change the value of the Boolean variable (see Manual Animation).
Note: You may also use Boolean variables like numbers (value 0 or 1). This allows you to use a checkbox as the dynamic speed of an animated slider allowing you to start and stop the animation. In this case, the animation button is only shown in the Graphics View if there is also an animated slider with static (i.e. non-dynamic) speed.
Graphics View if there is also an animated slider with static (i.e. non-dynamic) speed.Operations
You can use the following operations for Boolean variables and conditions in GeoGebra by either selecting them from the list next to the Input Bar or by entering them using the keyboard:
| Operation | List | Keyboard | Example | Object types |
|---|---|---|---|---|
| Equal | ≟ | == | a ≟ b or a == b | numbers, points, lines, conics, functions (needs CAS), planes, a, b |
| Not equal | ≠ | != | a ≠ b or a != b | numbers, points, lines, conics, functions (needs CAS), planes a, b |
| Less than | < | a < b | numbers a, b | |
| Greater than | > | a > b | numbers a, b | |
| Less or equal than | ≤ | <= | a ≤ b or a <= b | numbers a, b |
| Greater or equal than | ≥ | >= | a ≥ b or a >= b | numbers a, b |
| And | ∧ | && | a ∧ b or a && b | booleans a, b |
| Or | ∨ | || | a ∨ b or a || b | booleans a, b |
| Not | ¬ | ! | ¬a or !a | boolean a |
| Exclusive or | Alt+ | a ⊕ b | booleans a, b | |
| Implication | → | -> | a -> b | booleans a, b |
| Parallel | ∥ | a ∥ b | lines a, b | |
| Perpendicular | ⊥ | a ⊥ b | lines a, b | |
| Belongs to | ∈ | a ∈ list1 | number a, list of numbers list1 | |
| Subset | ⊆ | list1 ⊆ list2 | lists list1 and list2 | |
| Proper subset | ⊂ | list1 ⊂ list2 | lists list1 and list2 |
