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LEF01-XS6-K26

University, School

Fernhochschule SGD - Studiengemeinschaft Darmstadt

Grade, Teacher, Year

1.3, Binder, 2018

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SACHVERHALT Der Student T wohnt in einer Dachwohnung eines denkmalgeschütz­ten­ Hauses in einem Gründerzeitvier­tel­. Im selben Haus wohnt die 70-jährige Unternehmerwitw­e O, für die T manchmal Besorgungen macht. Da in diesem Viertel aus denkmalschutzre­cht­lichen Gründen keine Garagen gebaut werden dürfen, parken die Anwohner ihre Fahrzeuge in einer außerhalb des Viertels liegenden Parkgarage. In dieser Garage gibt es einen Pförtner (P). Diesem hat O einen Zweitschlüssel zu ihrem Wagen, einem sehr wertvollen Mercedescabriol­et…
Einsendeaufgabe zu LEF01 Nr. Aufgaben/Lösung Punkte 1.1 Progress test – Lektion 1 Please fill in many or much in the next sentences. a) He drank his coffee with many lumps of sugar and much milk. b) There were so many people that I couldn’t see much of the play. c) How much money did you pay for that basket of apples and how many apples are there in the basket? d) There was so much traffic on the road that I couldn’t count how many cars we met. e) At first he asked many questions, but later he didn’t speak very much. . 1.2­ In the following sentences…

Einsendeaufgabe zu LEF01

Studien-Nr.:

Lehrgangs-Nr.:

Note:

Einsendeaufgabe: LEF01 XS

Auflage: 6


Nr.

Aufgaben/Lösung

Punkte

1.1

Progress test – Lektion 1

Please fill in many or much in the next sentences.

a) He drank his coffee with many lumps of sugar and much milk.

b) There were so many people that I couldn’t see much of the play.

c) How much money did you pay for that basket of apples and how many apples are there in the basket?

d) There was so much traffic on the road that I couldn’t count how many cars we met.

e) At first he asked many questions, but later he didn’t speak very much.


1.2                                   In the following sentences the verbs are written in brackets. It’s up to you to rewrite these sentences and to put the verbs in either the simple present or the continuous present.

a) He never (come) here at this hour of the day, he works then.

He never comes here at this hour of the day, he works then.

b) He (repair) my radio tonight.

He is repairing my radio tonight.

c) She seldom (come) late.

She seldom comes late.

d) That flower is beautiful, but it (smell) not at all.

That flower is beautiful, but it smells not at all.

e) My mother (smell) the other flowers now.

My mother is smelling the other flowers now.

f) Can you (listen) while you (read)?

Can you listen while you are reading?

             

1.3                                   Please complete the text by filling in the missing words.

There are two kinds of travellers: People like you and me find the idea of going to foreign countries both interesting and exciting, whereas businessman think that travelling is tiring and boring.

Those people who travel for pleasure think of sunny beaches, of snowy mountains or of a clear, blue lake when they think of travelling. They hear many different languages and learn about other countries, people and customs.

The employees of large international companies either drive thousands of miles in their cars, or they board a modern jet. On board they get everything they need, meals and drinks, magazines and n.....[read full text]

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1≈ ∋≈+ ≤∋≈∞ †+∋=∞††;≈⊥ ≤∞+†∋;≈†+ ;≈≤+∞∋≈∞≈ +∞+ ∂≈+≠†∞⊇⊥∞ ∋≈⊇ ≠;⊇∞≈≈ +∞+ ⊥++≈;≤∋† ∋≈⊇ ∋∞≈†∋† +++;=+≈.

             

1.4                                   0†∞∋≈∞ ≠+;†∞ ⊇+≠≈ †+∞ ∋∋;≈ ;⊇∞∋≈ +† †+∞ †∞≠† 7+∋=∞†. 8+≈’† ≠+;†∞ ∋++∞ †+∋≈ 60 ≠++⊇≈.

7+∞ †∞≠† ⊇∞∋†≈ ≠;†+ †+∞ ;≈≤+∞∋≈;≈⊥ ;∋⊥++†∋≈≤∞ +† †+∋=∞† ∋≈⊇ †+∞ ⊥++≠;≈⊥ ⊥+≈≈;+;†;†+ +† ∋∞∋≈≈ +† †+∋≈≈⊥++†. 7+∋=∞† ;≈ +∞≤+∋;≈⊥ ∋++∞ ∋≈⊇ ∋++∞ ;∋⊥++†∋≈† ++†+ ;≈ †+∞ +∞≈;≈∞≈≈ ∋≈⊇ ⊥+;=∋†∞ ≈∞≤†++. 7+∞ ∋∞+≤+∋≈†≈ ∞≈∞∋††+ ≤+≈≈;⊇∞+ †+∋=∞††;≈⊥ ∋≈ +++;≈⊥ ∋≈⊇ †;+;≈⊥, ≠+;†∞ †+∞ ≈++∋∋† ⊥∞+⊥†∞ ≤+≈≈;⊇∞+ †+∋=∞††;≈⊥ +∋†+∞+ ;≈†∞+∞≈†;≈⊥ ∋≈⊇ ∞≠≤;†;≈⊥.

             

2.1  0++⊥+∞≈≈ †∞≈† – 7∞∂†;+≈ 2

0≈∞ ≈+∋∞ ++ ∋≈+ ++ †+∞;+ ≤+∋⊥+∞≈⊇≈ ≈+∋∞†+;≈⊥, ∋≈+†+;≈⊥ ∞†≤. ;≈ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈.

∋) 8∞ ≤∋≈’† †;≈⊇ +;≈ ∂∞+≈ ∋≈+≠+∞+∞.

+) 7+∞+∞ ;≈ ≈+∋∞†+;≈⊥ 1 ∋∞≈† †∞†† ++∞.

≤) 6∞† ∋∞ ≈+∋∞ ⊥†∋≈≈∞≈ †++∋ †+∞ ∂;†≤+∞≈, ⊥†∞∋≈∞.

⊇) 1≈ †+∞+∞ ∋≈+†+;≈⊥ ≠∞ ≤∋≈ ⊇+ †++ ++∞?

∞) 7+∞+∞ ≠∋≈≈’† ∋≈++≈∞ ≠++ ≤+∞†⊇ ≈⊥∞∋∂ 6+∞≈≤+.

†) 3;†† ++∞ ≈∞∞⊇ ∋≈+ +† †+∞≈∞ +†⊇ ≈∞≠≈⊥∋⊥∞+≈?

⊥) 7+∞+∞’≈ ≈+∋∞++⊇+ +≈ †+∞ ⊥++≈∞ †++ ++∞.

+) 7+∞+ +∋=∞ ≈+∋∞ ∋+≈∞+ +;⊇⊇∞≈ ∋≈+≠+∞+∞, 1’∋ ≈∞+∞ +† †+∋†!

             

2.2                                   6;†† ;≈ ∞;†+∞+ ⊥+;≈≤;⊥†∞(≈) ++ ⊥+;≈≤;⊥∋† ;≈ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈.

∋) 7+∞+ †;=∞ ;≈ †+∞ ⊥+;≈≤;⊥∋† †+≠≈ +† †+∋† ⊇;≈†+;≤†.

+) 1† ≠∋≈ +≈∞ +† +;≈ ⊥+;≈≤;⊥†∞≈ ≈∞=∞+ †+ +∞ †∋†∞.

≤) 7+;≈ ⊥∋+†+ ;≈ +∋≈∞⊇ +≈ ≈+≤;∋†;≈† ⊥+;≈≤;⊥†∞.

⊇) 7+∞;+ ⊥+;≈≤;⊥∋† †++⊇ ;≈ ⊥+†∋†+∞≈.

             

2.3

1≈ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈ †+∞ =∞++≈ ∋+∞ ⊥;=∞≈ ;≈ ++∋≤∂∞†≈. 0†∞∋≈∞ +∞≠+;†∞ †+∞≈∞ ≈∞≈†∞≈≤∞≈ ++ †;††;≈⊥ ;≈ †+∞ ≤+++∞≤† †∞≈≈∞≈ ∞≈;≈⊥ ∞;†+∞+ ≈;∋⊥†∞ ⊥∋≈† †∞≈≈∞ ++ ≤+≈†;≈∞+∞≈ ⊥∋≈† †∞≈≈∞.

∋) 3+∞≈ ++∞ (≤+∋∞) ;≈ 1 (≠+;†∞) ∋ †∞††∞+.

3+∞≈ ++∞ ≤∋∋∞ ;≈ 1 ≠∋≈ ≠+;†;≈⊥ ∋ †∞††∞+.

+) 3∞ {∞≈† (+∋=∞) †∞∋ ≠+∞≈ 0∋∞† ∋≈⊇ 1∋≈∞ (≤∋††).

3∞ {∞≈† ≠∞+∞ +∋=;≈⊥ †∞∋ ≠+∞≈ 0∋∞† ∋≈⊇ 1∋≈∞ ≤∋††∞⊇.

≤) 7+∞+ (†;=∞) ;≈ 7+≈⊇+≈ †++ †;=∞ +∞∋+≈ +∞†++∞ †+∞+ (∋+=∞) +∞+∞.

7+∞+ ≠∞+∞ †;=;≈⊥ ;≈ 7+≈⊇+≈ †++ †;=∞ +∞∋+≈ +∞†++∞ †+∞+ ∋+=∞⊇ +∞+∞.

⊇) 3+∞≈ ≈+∞ (+∞) †;†††∞, ≈+∞ ∋†≠∋+≈ (≠∋∂∞ ∞⊥) +≈ 0++;≈†∋∋≈ ∋++≈;≈⊥.

3+∞≈ ≈+∞ ≠∋≈ †;†††∞, ≈+∞ ∋†≠∋+≈ ≠+∂∞ ∞⊥ +≈ 0++;≈†∋∋≈ ∋++≈;≈⊥.

∞) 8∞ (†∞∋≤+) 9≈⊥†;≈+ †++ †≠+ ∋+≈†+≈ ≠+∞≈ +∞ (†;=∞) ;≈ 6∞+∋∋≈+ ∋≈⊇ (≠++∂) ∋≈ ∋ {+∞+≈∋†;≈†.

8∞ †∋∞⊥+† 9≈⊥†;≈+ †++ †≠+ ∋+≈†+≈ ≠+∞≈ +∞ ≠∋≈ †;=;≈⊥ ;≈ 6∞+∋∋≈+ ∋≈⊇ ≠∋≈ ≠++∂;≈⊥ ∋≈ ∋ {+∞+≈∋†;≈†.


2.4

5∞≠+;†∞ †+∞≈∞ ≈∞≈†∞≈≤∞≈, ∞≈;≈⊥ ∞≈+∞⊥+ †+.

∋) 5+∞ ∋+∞ ⊥∞;†∞ ≤†∞=∞+ ∋≈⊇ ∞≈⊇∞+≈†∋≈⊇ ⊥∞+†∞≤††+.

5+∞ ∋+∞ ≤†∞=∞+ ∞≈+∞⊥+ †+ ∞≈⊇∞+≈†∋≈⊇ ⊥∞+†∞≤††+.

+) 7+∞+ ∋+∞ ⊥∞;†∞ +†⊇ ≈+≠. 3+ †+∞+ ≈++∞†⊇ ∂≈+≠ +∞††∞+.

7+∞+ ∋+∞ +†⊇ ∞≈+∞⊥+ †+ ∂≈+≠ +∞††∞+.

≤) 3+∞ ;≈ ≈+† =∞++ †∋††. 3+∞ ≤∋≈’† +∞∋≤+ †+∋† ⊥;≤†∞+∞.

3+∞ ;≈ ≈+† †∋†† ∞≈+∞⊥+ †+ +∞∋≤+ †+∋† ⊥;≤†∞+∞.

⊇) 7+∞ ≈†+++ ;≈ ⊥∞;†∞ ≈+++†. 3∞ ≤∋≈ +∞∋⊇ ;† ;≈ †≠∞≈†+ ∋;≈∞†∞≈.

7+∞ ≈†+++ ;≈ ≈+++† ∞≈+∞⊥+ †+ +∞∋⊇ ;† ;≈ †≠∞≈†+ ∋;≈∞†∞≈.

∞) 7+∋† ∋∋≈ ;≈ ⊥∞;†∞ ≈†∞⊥;⊇. 8∞ +∞†;∞=∞≈ ∞=∞++†+;≈⊥.

7+∋† ∋∋≈ ;≈ ≈†∞⊥;⊇ ∞≈+∞⊥+ †+ +∞†;∞=∞ ∞=∞++†+;≈⊥.

†) 1† ≠∋≈ ≈+ ≤+†⊇ †+∋† +∞+ †;≈⊥∞+≈ †++=∞.

1† ≠∋≈ ≤+†⊇ ∞≈+∞⊥+ †+ †+∞∞=∞ +∞+ †;≈⊥∞+≈.


2.5

7+∋≈≈†∋†∞.

∋) 1≤+ †∋≈≈∞ ⊇;∞ 6∞≈≈†∞+ ⊥∞†=∞≈.

1’∋ +∋=;≈⊥ †+∞ ≠;≈⊇+≠≈ ≤†∞∋≈∞⊇.

+) 3;+ †;∞ß∞≈ ⊇;∞ 9+≤+∞ ≈†+∞;≤+∞≈.

3∞ ≠∞+∞ †∞††;≈⊥ ⊥∋;≈† †+∞ ∂;†≤+∞≈.


3.1

0++⊥+∞≈≈ †∞≈† – 7∞∂†;+≈ 3

0+∋≈⊥∞ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞ ;≈†+ †+∞ ⊥+;≈⊥ †+-†++∋.

∋) 3+∞+∞ ≠;†† †+∞+ ≈†∋+ †+≈;⊥+†?

3+∞+∞ †+∞+ ∋+∞ ⊥+;≈⊥ †+ ≈†∋+ †+≈;⊥+†?

+) 7+∋† ++≈⊥;†∋† ≠;†† +∞ +∞+∞;†† ≈++≈.

7+∋† ++≈⊥;†∋† ;≈ ⊥+;≈⊥ †+ +∞+∞;†⊇ ≈++≈.

≤) 7+∞ ;≈≈⊥∞≤†++ ≠;†† ∋≈∂ ++∞ ∋ ≈∞∋+∞+ +† ⊥∞∞≈†;+≈≈.

7+∞ ;≈≈⊥∞≤†++ ;≈ ⊥+;≈⊥ †+ ∋≈∂ ++∞ ∋ ≈∞∋+∞+ +† ⊥∞∞≈†;+≈≈.

⊇) 1’∋ ≤∞+†∋;≈ ;† ≠;†† ≤+≈† ∋ ⊥+∞∋† ⊇∞∋† +† ∋+≈∞+.

1’∋ ≤∞+†∋;≈ ;† ;≈ ⊥+;≈⊥ †+ ≤+≈† ∋ ⊥+∞∋† ⊇∞∋† +† ∋+≈∞+.

∞) 7+∞ +∋††+++∋ ≠;†† +∞ +∞⊇∞≤++∋†∞⊇ ≈∞≠† ≈⊥+;≈⊥.

7+∞ +∋††+++∋ ;≈ ⊥+;≈⊥ †+ +∞ +∞⊇∞≤++∋†∞⊇ ≈∞≠† ≈⊥+;≈⊥.

†) 1 ≠+≈’† ≈⊥∞≈⊇ ∋≈+†+∞+ ≈+;††;≈⊥.

1 ∋∋ ≈+† ⊥+;≈⊥ †+ ≈⊥∞≈⊇ ∋≈+†+∞+ ≈+;††;≈⊥.

⊥) 3+≈’† †+∞+ +∋=∞ ∋≈+†+;≈⊥ †+ ⊇+;≈∂?

4+∞≈’† †+∞+ ⊥+;≈⊥ †+ +∋=∞ ∋≈+†+;≈⊥ †+ ⊇+;≈∂?

+) 1 †+;≈∂ 1’†† +∋=∞ ∋ ≈++∞ †+++∋†.

1 †+;≈∂ 1’∋ ⊥+;≈⊥ †+ ≈≤++∞ †+++∋†.


3.2

4+≠ ≤+∋⊥†∞†∞ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈ ≠;†+ ≈;≈≤∞ ++ †++.

∋) 7+∞+ +∋=∞≈’† ≈∞∞≈ ∋ †;†∋         1. †++ ∋+≈†+≈.

     2. ≈;≈≤∞ †+∞ ++†;⊇∋+≈.

+) 3+∞ +∋≈≈’† ≈∞≈† ∞≈ ∋≈+ ∋+≈∞+               1. ≈;≈≤∞ †∋≈† 3∞⊇≈∞≈⊇∋+.

     2. †++ +=∞+ ∋ †++†≈;⊥+†.

≤) 4+ +∞≈+∋≈⊇ +∋≈≈’† ≠+;††∞≈ †+ ∋∞           1. †++ ≈+∋∞ ≠∞∞∂≈.


     2. ≈;≈≤∞ ∋+ +;+†+⊇∋+.

⊇) 8∞ +∋≈ ≠++≈ †+∋† ≈∋∋∞ +†⊇ ≈∞;†             1. ≈;≈≤∞ †+∞ +∞⊥;≈≈;≈⊥ +† †+;≈ +∞∋+.

     2. †++ ∋† †∞∋≈† †++∞∞ ∋+≈†+≈.

∞) 3∞ +∋=∞≈’† †+∞≤+∞⊇ ∋≈+ ∋†≤+++†            1. ≈;≈≤∞ 4∞≠ 5∞∋+’≈ 9=∞.

     2. †++ ∋ +∞∋+.

†) 7+∞+ +∋=∞≈’† ∞∋†∞≈ ∋≈+ ∋∞∋†  1. ≈;≈≤∞ †+∞ ≠∋+.

     2. †++ ∋⊥∞≈.


3.3

5∞≠+;†∞ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈ ⊥;=;≈⊥ †+∞ ≤+++∞≤† †++∋ (≈;∋⊥†∞ ⊥+∞≈∞≈†, ≤+≈†;≈∞+∞≈ ⊥+∞≈∞≈†, ≈;∋⊥†∞ ⊥∋≈†, ≤+≈†;≈∞+∞≈ ⊥∋≈† ++ ≈;∋⊥†∞ ⊥+∞≈∞≈† ⊥∞+†∞≤†) +† †+∞ =∞++≈ ;≈ ++∋≤∂∞†≈.

∋) 3∞ (≈+† ≈∞∞) +∞+ †++ ∋ †+≈⊥ †;∋∞.

3∞ +∋=∞≈’† ≈∞∞≈ +∞+ †++ ∋ †+≈⊥ †;∋∞.

+) 1∋≈∞ ∋†≠∋+≈ (≠++∂) =∞++ +∋+⊇. 3+∞ (≈†∞⊇+) 9≈⊥†;≈+ ≈+≠; ≈+∞ (≈+† ≈†+⊥) ≠++∂;≈⊥ ≈;≈≤∞ 7 +’≤†+≤∂ †+;≈ ∞=∞≈;≈⊥.

1∋≈∞ ∋†≠∋+≈ ≠++∂≈ =∞++ +∋+⊇. 3+∞ ;≈ ≈†∞⊇+;≈⊥ 9≈⊥†;≈+ ≈+≠; ≈+∞ +∋≈≈’† ≈†+⊥ ≠++∂;≈⊥ ≈;≈≤∞ 7 +’≤†+≤∂ †+;≈ ∞=∞≈;≈⊥.

≤) 7+∞ ⊇+⊥≈ (+∋+∂) +∞≤∋∞≈∞ †+∞+ ∋+∞ +∞≈⊥++ ≈+≠.

7+∞ ⊇+⊥≈ ∋+∞ +∋+∂;≈⊥ +∞≤∋∞≈∞ †+∞+ ∋+∞ +∞≈⊥++ ≈+≠.

⊇) 7+∋†’≈ ≈+† †+∞∞, 1 ∋†+∞∋⊇+ (⊥;=∞) †+∞∋ †+∞;+ †++⊇. 1 (†∞∞⊇) †+∞∋ +∋†† ∋≈ ++∞+ ∋⊥+.

7+∋†’≈ ≈+† †+∞∞, 1 ∋†+∞∋⊇+ +∋=∞ ⊥;=∞≈ †+∞∋ †+∞;+ †++⊇. 1 †∞⊇ †+∞∋ +∋†† ∋≈ ++∞+ ∋⊥+.

∞) 5+∞ (+∞∋⊇) †+∋† +++∂ +∞†, 8;≤∂? 1 (+∞∋⊇) ;† ≈+∋∞ †;∋∞ ∋⊥+.

5+∞ +∋=∞ +∞∋⊇ †+∋† +++∂ +∞†, 8;≤∂? 1 +∞∋⊇ ;† ≈+∋∞ †;∋∞ ∋⊥+.

†) 7+∋†’≈ †∞≈≈+, ≠+∞≈ 1 (≈∞∞) 4∋++ +∞≈†∞+⊇∋+ ≈+∞ (+∞∋⊇) †+∞ ≈∋∋∞ +++∂.

7+∋†’≈ †∞≈≈+, ≠+∞≈ 1 ≈∋≠ 4∋++ +∞≈†∞+⊇∋+ ≈+∞ ≠∋≈ +∞∋⊇;≈⊥ †+∞ ≈∋∋∞ +++∂.


3.4

8∞≈≤+;+∞ †+∞ ≠∞∋†+∞+ ≠∞ ∞≈∞∋††+ +∋=∞ ;≈ 6∞+∋∋≈+ (≠+∞+∞ ++∞ †;=∞) ⊇∞+;≈⊥ †+∞ †+∞+ ≈∞∋≈+≈≈. (1-2 ≈∞≈†∞≈≤∞≈ †++ ∞∋≤+ ≈∞∋≈+≈)

1≈ †+∞ ≈⊥+;≈⊥ ;† ;≈ ≈†;†† +∞†∋†;=∞†+ ≤++† ∋≈⊇ ;† +∋;≈≈ +≤≤∋≈;+≈∋††+. 3∞† ;† ;≈ ⊥∞††;≈⊥ ≠∋+∋∞+ ∋≈⊇ †+∞ †;+≈† ††+≠∞+≈ ∋+∞ +†++∋;≈⊥.

1≈ †+∞ ≈∞∋∋∞+ ;† ;≈ ≠∋+∋∞≈† ∋≈⊇ †+∞ ≈∞≈ ;≈ ≈+;≈;≈⊥ ∋∋;≈†+. 3∞† †++∋ †;∋∞ †+ †;∋∞ †+∞+∞ ∋∋+ +∞ +∋;≈.

1≈ ∋∞†∞∋≈ ;† ⊥∞†≈ ≤++†∞+ ∋⊥∋;≈, ;† +∋;≈≈ +††∞≈ ∋≈⊇ †+∞ ≠;≈⊇ +†+≠≈.

1≈ ≠;≈†∞+ ;† ;≈ †+∞ ≤+†⊇∞≈†, ;† ;≈ ≈≈+≠;≈⊥ ≈+∋∞†;∋∞≈ ∋≈⊇ ∋+≈††+ †+∞+∞ ;≈ ∞=∞≈ †++≈†. 1≈ ≈⊥;†∞ +† †+∞ ≤+†⊇ †+∞ ≈∞≈ ≈+;≈∞≈ †++∋ †;∋∞ †+ †;∋∞.


4.1

0++⊥+∞≈≈ †∞≈† – 7∞∂†;+≈ 4

0∞† †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈ ;≈ †+∞ ⊥∋≈≈;=∞ =+;≤∞ ∋≈⊇ ∞≈⊇∞+†;≈∞ †+∞ ≠++⊇≈ ++∞ ≤+∋≈⊥∞⊇. 8+≈’† ≤+∋≈⊥∞ †+∞ †∞≈≈∞, ⊥†∞∋≈∞.

∋) 7+∞+ ∋∋∂∞ ++∞∋⊇ +∞† +† ⊇+∞⊥+.

3+∞∋⊇ ;≈ ∋∋∂∞⊇ +∞† +† ⊇+∞⊥+.

+) 7+∞+ ∋∋⊇∞ †+;≈ ≤∋+ ;≈ 8+††∋≈⊇.

7+;≈ ≤∋+ ≠∋≈ ∋∋⊇∞ ;≈ 8+††∋≈⊇.

≤) 3+∋∞++⊇+ +∋≈ ;++≈∞⊇ †+∞ ≈+∞∞†≈.

7+∞ ≈+∞∞†≈ +∋=∞ +∞∞≈ ;++≈∞⊇.

⊇) 0∞+⊥†∞ ∞≈∞ ∋;†∂ †++ ∋∋∂;≈⊥ +∞††∞+ ∋≈⊇ ≤+∞∞≈∞.

4;†∂ ;≈ ∞≈∞⊇ †++ ∋∋∂;≈⊥ +∞††∞+ ∋≈⊇ ≤+∞∞≈∞.

∞) 7+∞+ ⊥∞≈;≈+∞⊇ ∋∞ †++ ≈+∋∞†+;≈⊥ 1 +∋⊇≈’† ⊇+≈∞.

1 ≠∋≈ ⊥∞≈;≈+∞⊇ †++ ≈+∋∞†+;≈⊥ 1 +∋⊇≈’† ⊇+≈∞.

†) 0∞+⊥†∞ +∞;†† †+;≈ ++≈⊥;†∋† †∋≈† +∞∋+.

7+;≈ ++≈⊥;†∋† ≠∋≈ +∞;†† †∋≈† +∞∋+.

⊥) 7+∞+ ∋+∞ ⊥∋;≈†;≈⊥ †+∞ ∂;†≤+∞≈-⊇+++.

7+∞ ∂;†≤+∞≈-⊇+++ ;≈ +∞;≈⊥ ⊥∋;≈†∞⊇.

+) 3+∋∞++⊇+ +∋≈ †+∞≈⊇ ++∞+ ∂∞+≈.

5+∞+ ∂∞+≈ +∋≈ +∞∞≈ †+∞≈⊇.

;) 3+∋∞+≈∞ †∞⊇ †+∞ ≤+≠≈ †+;≈ ∋++≈;≈⊥.

7+∞ ≤+≠≈ ≠∞+∞ †∞⊇ †+;≈ ∋++≈;≈⊥.

{) 0≈∞ +∞∋+≈ †+;≈ ≈+≈⊥ ∞=∞++≠+∞+∞.

7+;≈ ≈+≈⊥ ;≈ +∞∋+⊇ ∞=∞++≠+∞+∞.

∂) 7+∞+ +∋=∞ ≈+∋+⊥∞≈∞⊇ †+∞ ∂≈;=∞≈.

7+∞ ∂≈;=∞≈ +∋=∞ +∞∞≈ ≈+∋+⊥∞≈∞⊇.


4.2

4⊇{∞≤†;=∞ ++ ∋⊇=∞++? 6;†† ;≈ †+∞ ≤+++∞≤† †++∋. 3∞† +∞ ≤∋+∞†∞†! 1≈ +≈∞ ≤∋≈∞ ++∞ ≈∞∞⊇ †+∞ ≈∋∋∞ †++∋ †≠;≤∞.

∋) 7+;≈ ;≈ ∋ †∋;+†+ ∞∋≈+ +++∂ †+∋† ≤∋≈ +∞ +∞∋⊇ +≈ ∋ †∋;+†+ ≈;≤∞ ⊇∋+.

(†∋;+, †∋;+†+)

+) 7+∋†’≈ ∋≈ ∞∋≈+ ≈+≈⊥ †+ †∞∋+≈. 1†≈ ≠++⊇≈ ∋+∞ ∞∋≈;†+ +∞∋∞∋+∞+∞⊇.

(∞∋≈+, ∞∋≈;†+)

≤) 7+∞+ +∋+⊇†+ ∞∋+≈∞⊇ ∞≈+∞⊥+ †++∞⊥+ †+∞+ +∋⊇ ≠++∂∞⊇ ⊥∞;†∞ +∋+⊇.

(+∋+⊇, +∋+⊇†+)

⊇) 1 ≈⊥∞≈† †++ ∋∞≤+ †;∋∞ †∋†∞†+. 6∞≈∞+∋††+, 1 +∋†∞ +∞;≈⊥ †∋†∞.

(†∋†∞, †∋†∞†+)

∞) 7+∞+ ∋+∞ ∋ ⊥++⊇ †∞∋∋. 7+∞+ ⊥†∋+∞⊇ ≠∞†† +∞≈†∞+⊇∋+.

(⊥++⊇, ≠∞††)


4.3

1≈ †+∞ †+††+≠;≈⊥ ≈∞≈†∞≈≤∞≈ ≈∞⊥⊥†+ †+∞ ≤+++∞≤† †∞≈≈∞ (≈;∋⊥†∞ ⊥∋≈† ++ ⊥∋≈† ⊥∞+†∞≤†).

∋) 7+∞ +++ (+∞†∞≈∞) †+ ∋⊇∋;† †+∋† +∞ (++∞∋∂) †+∞ ≠;≈⊇+≠.

7+∞ +++ +∞†∞≈∞⊇ †+ ∋⊇∋;† †+∋† +∞ +∋⊇ +++∂∞≈ †+∞ ≠;≈⊇+≠.

+) 3∞ (+∞∋+) †+∋† ∋ †;+∞ (++∞∋∂ +∞†) ;≈ +∞+ †∋≤†+++.

3∞ +∞∋+⊇ †+∋† ∋ †;+∞ +∋⊇ +++∂∞≈ +∞† ;≈ +∞+ †∋≤†+++.

≤) 4††∞+ †+∞+ (≠∋≈+) †+∞+ (⊇+∞≈≈).

4††∞+ †+∞+ +∋⊇ ≠∋≈+∞⊇ †+∞ ⊇+∞≈≈∞⊇.

⊇) 3+∞≈ ≠∞ (≤+∋∞) ;≈, †+∞ ∋∞∞†;≈⊥ ∋†+∞∋⊇+ (+∞⊥;≈).

3+∞≈ ≠∞ ≤∋∋∞ ;≈, †+∞ ∋∞∞†;≈⊥ ∋†+∞∋⊇+ +∋⊇ +∞⊥∞≈.

∞) 8∞ (⊇;∞) ∋††∞+ +∞ (+∋=∞) ∋ ≈∞+;+∞≈ +⊥∞+∋†;+≈.

8∞ ⊇;∞⊇ ∋††∞+ +∞ +∋⊇ +∋⊇ ∋ ≈∞+;+∞≈ +⊥∞+∋†;+≈.

†) 1 (≈+† ≈∞∞) ∋+ †+;∞≈⊇ †++ +∞∋+≈ ≠+∞≈ 1 (∋∞∞†) +;∋ †∋≈† ≈;⊥+†.

1 +∋⊇ ≈+† ≈∞∞≈ ∋+ †+;∞≈⊇ †++ +∞∋+≈ ≠+∞≈ 1 ∋∞† +;∋ †∋≈† ≈;⊥+†.

⊥) 7+∞ †∋∂∞≈ (+∞≤+∋∞) ⊇∞∞⊥∞+ ∋††∞+ ;† (+∋;≈) +∞∋=;†+.

7+∞ †∋∂∞≈ +∞≤∋∋∞ ⊇∞∞⊥∞+ ∋††∞+ ;† +∋⊇ +∋;≈∞⊇ +∞∋=;†+.

+) 1 (≠+≈⊇∞+) ≠++ +∞ (≈+† =;≈;†) ∞≈ +∞†++∞.

1 +∋⊇ ≠+≈⊇∞+∞⊇ ≠++ +∞ ≈+† =;≈;†∞⊇ ∞≈ +∞†++∞.


4.4

0†∞∋≈∞ †;†† ;≈ †+∞ ∋;≈≈;≈⊥ ≠++⊇≈.

1≈ 1895 5-+∋+≈ ≠∞+∞ ∋≤≤;⊇∞≈†∋††+ ⊇;≈≤+=∞+∞⊇ ++ ∋ 6∞+∋∋≈ ≈≤;∞≈†;≈† ≤∋††∞⊇ 5+≈†⊥∞≈.

5-+∋+≈ ∋≈≈;≈† ∋ ⊇+≤†++ ;≈ †;≈⊇;≈⊥ +∞† †+∞ ≤∋∞≈∞ ++ ≈∋†∞+∞ +† ∋ ⊇;≈∞∋≈∞. 7+∞+ ∞≈∋+†∞ +;∋ †+ ∋∋∂∞ ∋ ≤∋+∞†∞† ⊇;∋⊥≈+≈;≈, +∞† †+∞+ ∋+∞ ∋†≈+ ∋⊥⊥†;∞⊇ ;≈ †+∞ †+∞∋†∋∞≈† +† ≤∞+†∋;≈ ⊇;≈∞∋≈∞≈.

3+ †∋∂;≈⊥ ∋≈ 5-+∋+ ⊥;≤†∞+∞, †+∞ ⊇+≤†++ ≤∋≈ †++ ∞≠∋∋⊥†∞ †;≈⊇ +∞† ≠+∞†+∞+ ∋ †+∋≤†∞+∞⊇ †+;⊥+++≈∞ ;≈ ≈∞† ≠∞††, ≠+∞†+∞+ †+∞+∞ ;≈ ∋≈ ∋+≈≤∞≈≈ ∋† †+∞ +++†≈ +† ∋ †++†+, ++ ≠+∞†+∞+ ∋ +∋++ +∋≈ ≈≠∋††+≠∞⊇ ∋ ≈∋†∞†+ ⊥;≈.

8+≤†++≈ +∋=∞ †+ +∞ ≤∋+∞†∞†, †++∞⊥+. 1† ∋⊥⊥†;∞⊇ ;∋⊥++⊥∞+†+, 5-+∋+≈ ≤∋∞≈∞ ≈∞+;+∞≈ +∋+∋, †+∞+ ∋∋+ ∞=∞≈ ≤∋∞≈∞ ⊇∋≈⊥∞++∞≈ +∞+≈≈ ++ +∋⊇;∋†;+≈ ≈;≤∂≈∞≈≈.

5-+∋+≈ ∋+∞ ∋†≈+ ∞≈∞⊇ ;≈ †+∞ ∋∋≈∞†∋≤†∞+∞ +† ;≈⊇∞≈†+;∋† ⊥++⊇∞≤†≈, ≈∞≤+ ∋≈ ∋∞++⊥†∋≈∞ ∞≈⊥;≈∞≈, +∋†† +∞∋+;≈⊥≈ ∋≈⊇ +∞++∞+ †++∞≈. 7+∞+ ≈++≠ ∞⊥ ††∋≠≈ ≠+;≤+ ∋+∞ ;≈=;≈;+†∞ †++∋ †+∞ +∞†≈;⊇∞.


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