Chapitre 4 : applications Flashcards by Max Pellerin

Q

definition de l’application

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

l’ensemble image

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

définition de deux applications égales

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition de l’application idendité

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

définition de l’image directe

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Définition de la préimage ou de l’image réciproque

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

la restriction d’une implication

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

définition du prolongement d’une implication

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition de la composee gof

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

composée d’applications

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition ho(gof)

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

composee d’une application avec identité

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition de l’injection

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

la composée de deux injections

A

est une injection

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition de la surjectivité

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

application de E et F(E)

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

la composée de deux surjection s

A

est une surjection

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

definition de la bijection

A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

f est bijective ssi

A

f est injective et bijective

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

la composée de deux bijections

A

est une bijection

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

si f est une application injective de E dans F , alors

A

elle réalise une bijection de E dans F(E)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

F est fini et Card(E) = Card(F)

A

si f est une bijection de E dans F et si E est un ensemble fini

Q

theoreme sur une application qui est a la fois injective, surjective et bijective

A

Q

définition de l’application réciproque d’une bijection

A

théorème différentes égalités entre une bijection et son application réciproque

Théorème sur la reciproque fe la composée de bijection

théorème de la bijection monotone

théorème sur l’unique solution

démonstration

démonstration

démonstration

démonstration

démonstration

démonstration

d’apres th 11: (gof)^-1 = f^-1 o g^-1

f(E) =

consequence

consequence