Relationen und deren Eigenschaften

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Question statement

Auf $\mathbb{N}\times\mathbb{N}$ betrachten wir zwei Relationen $x\mathbf{R}y$ , deren Graphen im Bereich $x,y\leq 12$ so ausschauen:

Beachten Sie: Anders als auf den Folien ist hier $x\mathbf{R}y$ und nicht $y\mathbf{R}x$ dargestellt.
Bitte etwas Geduld beim Laden der Graphen.

A	B
{apps[0]}	{apps[1]}

Give any introductory information the student needs.

			Name	Type	Generated Value

a	list	Nested 144×2 list
Graphs	list	List of 2 items
GraphsAsVectors	list	List of 2 items
defs	list	List of 2 items
apps	list	List of 2 items
a2	list	Nested 78×2 list
a1	list	Nested 78×2 list

			Name	Type	Generated Value

Auswahl	list	List of 6 items
Auswahltex	list	List of 6 items
what	list	List of 6 items
test	string	mod(x[0]-x[1],5)=mod(x[1]-x[0]
reflex	list	Nested 6×3 list
sym	list	Nested 6×3 list

			Name	Type	Generated Value

rando	list	[ 3, 4, 0, 2, 1, 5 ]
n	integer	5
m	integer	9

			Name	Type	Generated Value

Test1	integer	1
Test2	integer	1
Tester	boolean	true

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
distinct(a1+a2)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 1, 7 ], [ 1, 8 ], [ 1, 9 ], [ 1, 10 ], [ 1, 11 ], [ 1, 12 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 2, 7 ], [ 2, 8 ], [ 2, 9 ], [ 2, 10 ], [ 2, 11 ], [ 2, 12 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 3, 7 ], [ 3, 8 ], [ 3, 9 ], [ 3, 10 ], [ 3, 11 ], [ 3, 12 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 4, 7 ], [ 4, 8 ], [ 4, 9 ], [ 4, 10 ], [ 4, 11 ], [ 4, 12 ], [ 5, 5 ], [ 5, 6 ], [ 5, 7 ], [ 5, 8 ], [ 5, 9 ], [ 5, 10 ], [ 5, 11 ], [ 5, 12 ], [ 6, 6 ], [ 6, 7 ], [ 6, 8 ], [ 6, 9 ], [ 6, 10 ], [ 6, 11 ], [ 6, 12 ], [ 7, 7 ], [ 7, 8 ], [ 7, 9 ], [ 7, 10 ], [ 7, 11 ], [ 7, 12 ], [ 8, 8 ], [ 8, 9 ], [ 8, 10 ], [ 8, 11 ], [ 8, 12 ], [ 9, 9 ], [ 9, 10 ], [ 9, 11 ], [ 9, 12 ], [ 10, 10 ], [ 10, 11 ], [ 10, 12 ], [ 11, 11 ], [ 11, 12 ], [ 12, 12 ], [ 2, 1 ], [ 3, 1 ], [ 4, 1 ], [ 5, 1 ], [ 6, 1 ], [ 7, 1 ], [ 8, 1 ], [ 9, 1 ], [ 10, 1 ], [ 11, 1 ], [ 12, 1 ], [ 3, 2 ], [ 4, 2 ], [ 5, 2 ], [ 6, 2 ], [ 7, 2 ], [ 8, 2 ], [ 9, 2 ], [ 10, 2 ], [ 11, 2 ], [ 12, 2 ], [ 4, 3 ], [ 5, 3 ], [ 6, 3 ], [ 7, 3 ], [ 8, 3 ], [ 9, 3 ], [ 10, 3 ], [ 11, 3 ], [ 12, 3 ], [ 5, 4 ], [ 6, 4 ], [ 7, 4 ], [ 8, 4 ], [ 9, 4 ], [ 10, 4 ], [ 11, 4 ], [ 12, 4 ], [ 6, 5 ], [ 7, 5 ], [ 8, 5 ], [ 9, 5 ], [ 10, 5 ], [ 11, 5 ], [ 12, 5 ], [ 7, 6 ], [ 8, 6 ], [ 9, 6 ], [ 10, 6 ], [ 11, 6 ], [ 12, 6 ], [ 8, 7 ], [ 9, 7 ], [ 10, 7 ], [ 11, 7 ], [ 12, 7 ], [ 9, 8 ], [ 10, 8 ], [ 11, 8 ], [ 12, 8 ], [ 10, 9 ], [ 11, 9 ], [ 12, 9 ], [ 11, 10 ], [ 12, 10 ], [ 12, 11 ] ]

← Depends on:

→ Used by:

Graphs

This variable doesn't seem to be used anywhere.

Parts

Explore mode options

Relation identifizieren Match choices with answers
Eigenschaften untersuchen Gap-fill

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Maximum mark

(sum of objective limits)

Objectives

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Name	Limit

Penalties

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Advice

Zu Aufgabenteil a):

Die Lösung findet man durch Überprüfen der Werte einzelner Zahlenpaare $(x\mid y)$, die in der Relation enthalten sein sollten oder nicht und bei denen man dann schaut, ob die entsprechenden Punkte in den Graphen enthalten sind oder nicht.

Zu Aufgabenteil b):

(i) Reflexivität:

reflexiv: Alle Punkte der Diagonalen müssen markiert sein.

irreflexiv: Kein Punkt der Diagonalen darf markiert sein.

weder reflexiv, noch irreflexiv: es gibt Punkte auf der Diagonalen, die markiert sind und solche, wo das nicht der Fall ist.

(ii) Symmetrie

symmetrisch: Alle Punkte auf oder unterhalb von $y=x$ haben Spiegelunkte an $y=x$ auf oder unterhalb der Geraden (und umgekehrt).

antisymmetrisch: Das stimmt zwar nicht, aber alle Punkte auf der Geraden $y=x$ sind markiert.

asymmetrisch: selbst das, was bei antisymmetrisch steht, ist nicht richtig.

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This question is used in the following exam:

Weitere Übungen (Lektion 4) by Andreas Vohns in EDM (2020W).

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Checkpoint description

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

A

B

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Objectives

Penalties

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Relationen und deren Eigenschaften

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

A

B

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Objectives

Penalties

Generated value: `list`