- •Введение
- •Unit 1.Ordinal and relation signs
- •1.1 Assignments
- •Unit 2.Operation signs and terms
- •2.1 Assignments
- •Unit 3.Operating with fractions
- •3.1Assignments
- •Unit 4.Decimal fractions
- •4.1 TEXT (Read the text and do the tasks that follow.)
- •4.2 Assignments
- •Unit 5.Roots
- •5.1 Assignments
- •Unit 6.Powers.
- •6.1 Assignments
- •Unit 7.Logarithms
- •7.1 Assignments
- •Unit 8.Some algebraic expressions and formulas
- •8.1 Assignments
- •Unit 9.Fundamental symbols and expressions concerning the theory of sets
- •9.1 Assignments
- •Unit 10.Classification of the elementary functions
- •10.1 Assignments
- •Unit 11.Expressions concerning intervals and limits
- •Tasks.
- •1. Analyse and memorize
- •2. Practice reading the following expressions by yourself, check your answer using the keys
- •APPENDIX.
- •KEYS.
- •Список использованной литературы.
- •Приложение Б
- •Приложение В
- •Приложение Г
- •Приложение Д
Unit 9.Fundamental symbols and expressions concerning the theory of sets
Look through the table and try to memorize it.
symbols |
Reading |
α Μ |
a is an element of M; or: a belongs to M |
α Μ |
a is not element of M; or: a does not belong to M |
Μ = {2,4,6} |
M is the set with the elements 2,4,6 |
Μ = 0/ |
M is an empty set (or: a null set) |
Μ Β |
M is a subset of B |
Μ Β |
M is proper subset of B |
Α ΥΒ |
the union of A and B |
Α Ι Β |
the intersection of A and B |
Α×Β |
the Cartesian product A and B are equivalent to each other |
9.1 Assignments
9.1.1.Memorize the following words and word-groups:
fundamental symbols |
[`fAndq`mentl |
основные символы |
|
`sImbqlz] |
|
fundamental expressions |
[`fAndq`mentl ` |
основные выражения |
|
Iks`preSqnz] |
|
the theory of sets |
[`TIqrI qv `sets] |
теория множеств |
the set |
[set] |
ряд; совокупность; |
|
|
множество; семейство |
|
[` emptI `set] |
(кривых) |
an empty set |
пустое множество |
|
a subset |
[`sAb `set] |
подмножество |
a proper subset |
[`prOpq `sAb `set] |
собственное |
|
[`jHnjqn ] |
подмножество |
union of sets |
объединение множеств |
|
the intersection of sets |
[`Intq`sekSqn] |
пересечение множеств |
the Cartesian product |
[kR`tJzjqn `prOdqkt] |
прямое произведение |
to be equivalent to |
[I`kwIvqlqnt] |
Быть эквивалентным |
|
|
(равным, |
|
|
соответствующим) |
|
|
чему -либо |
9.1.2. Translate into Russian:
•a is an element of M; or: a belongs to M
•a is not element of M; or: a does not belong to M
•M is the set with the elements 2,4,6
•M is an empty set (or: a null set)
•M is a subset of B
•M is proper subset of B
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•the union of A and B
•the intersection of A and B
•the Cartesian product A and B are equivalent to each other
9.1.3. Read these symbols:
•Ι
•×
9.1.4. Match the columns
1 |
α Μ |
a) |
a does not equal m |
2 |
Μ = {2,4,6} |
b) |
2,4,6, and so on infinity |
|
|
|
|
3 |
n |
c) |
the union of A and B |
|
∑Ai |
|
|
|
l=n |
|
|
4 |
2,4,6Λ ∞ |
d) |
M is the set with the elements 2,4,6 |
5 |
a ≠ m |
e) |
a does not belong to M |
6 |
Α ΥΒ |
f) |
Summing over A sub i from one to n |
9.1.5. Insert a word instead of a symbol.
1.α Μ a)is an element; b) is a subset c) is proper subset of
2.Μ Β a)is an element; b) is a subset of c) is proper subset of
3.Μ = 0/ a) is an empty; b) does not belong to c) is proper subset of
4.Α ΥΒ a) the union of; b) are equivalent to each other; c) is proper
subset of
5. Α Ι Β a) the union of; b) the intersection of; c) is proper subset of
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