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- •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
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Unit 1.Ordinal and relation signs |
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Look through the table and try to memorize it. |
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signs |
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reading |
examples |
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1. |
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Firstly; or: in the first place |
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2. |
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Secondly; or in the second |
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place |
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Point; or: decimal point |
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… |
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And so on to |
1, 2, 3… 25 (read: one, two, three |
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and so on to twenty five |
Λ ∞ |
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And so on to infinity |
1, 2, 3… (read: one, two, three and |
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so on to infinity |
Θ |
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I: since, because |
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x1 |
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x one, or : x sub one |
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x → ∞ |
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x approaches infinity or: x |
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tends to infinity |
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= |
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is equal to, or: does not equal |
a=b; a equals b or: a is equal to ; or: |
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a is b |
≠ |
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is not equal to; or: does not |
a ≠ b ; a does not equal b; or: a is not |
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equal |
equal to b; or: a is not b |
α , ~ |
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(is) directly proportional to |
p~ q |
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≈ |
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approximately equals |
a=b; |
~ |
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or : is approximately equal to |
a approximately equals b, |
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or ; a is approximately equal to b |
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:: |
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as (in proportions) |
p:q :: s:t, read p(is) to q as s (is) to t |
≡ |
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Is identical with, or is always |
F(x)= 0 f of x(is) identical with zero |
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equal to |
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( |
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Parentheses; or : round |
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brackets |
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[ |
] |
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Brackets; or: square brackets |
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{ } |
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braces |
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< |
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(is) less than |
p<q; p (is) less than q |
> |
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(is) greater than |
p>q; p (is) greater than q |
≤ |
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(is) not greater than |
p, q stands for p=x=q |
> |
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(is) greater than of equals |
The closed interval p q stands x not |
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less than |
≥ |
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(is) not greater than of equals |
a ≥ b a (is) greater than or equals b |
</,≥,≥ |
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(is) not less than |
a ≥ b; a ≥ b';a </ b; a is not less than b |
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1.1 Assignments
1.1.1Memorize the following words and word-groups.
ordinal sign |
[`O:dInl `saIn] |
простой знак |
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relation sign |
[rI`leIS(q)n `saIn ] |
знак соотношения |
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point; |
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[poInt] |
точка |
decimal |
[`desIm(q)l] |
n. десятичная дробь, |
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[`desIm(q)l poInt] |
a десятичный |
decimal point |
точка, отделяющая |
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десятичную дробь от |
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целого числа |
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(соответствует запятой в |
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[In`fInItI] |
русском языке) |
infinity |
бесконечность |
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approximately |
[q`prOks(I)mItlI] |
приблизительно |
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proportion |
[prq`pO:Sqn] |
пропорция, |
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количественное |
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соотношение, |
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пропорциональность, |
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[prq`pO:Sqnl] |
часть, доля |
proportional |
пропорциональный |
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identical with |
[aI`dentIk(q)l wID] |
соответствующий чему - |
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[`raund `brxkIts] |
либо |
round brackets / |
круглые скобки |
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parentheses |
[pq`renTIsI:z] |
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square brackets / brackets |
[`skwFq `brxkIts] |
квадратные скобки |
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braces |
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[`breIsIz] |
фигурные скобки |
is equal to, equals |
[`I:kw(q)l] |
равно, равняется |
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less than |
[les Dxn] |
меньше чем |
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greater than |
[`greItq Dxn] |
больше чем |
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since |
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[sIns] |
так как, |
approach / tend |
[q`prouC] [tend] |
достигать значения; |
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приближаться, стремиться |
1.1.2 Read the following signs: |
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[ ] |
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x → ∞ |
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p:q :: s:t |
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a>b |
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50,150,1500Λ ∞ |
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s </ t |
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d + b </ a |
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y1 |
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