Основные математические понятия в английском языке. Прокошева И.И. - 26 стр.

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11.1 Assignments
11.1.1. Memorize the following words and word-groups:
open interval
[`oupqn `Intqvql]
открытый интервал
closed interval
[`klouzd `Intqvql]
закрытый интервал,
half – open interval
[`hRf `oupqn `Intqvql]
наполовину открытый
интервал
infinite
[`InfInIt]
бесконечный,
бесконечно большой
infinity
[In`fInItI]
бесконечность
11.1.2. Read the signs
•
(
]
ba,
half – open interval a b, open on the left and closed on the
right
• X =
(
10;+∞−
)
Capital x equals the open interval minus infinite plus ten
• Y=tg x
y equals the tangent of x
•
Lxf
xx
=
→
)(lim
1
the limit of f x as x tends to x one is capital L
•
()(lim
0
0
xfxf
xx
≠
→
the limit of f of x tends to x nought is not equal to f of x
nought
•
0lim =
∞→
n
x
a
the limit of a sub n is zero as n tends to infinity
11.1.3. Match the columns
1 23/6
a) x approaches x nought; or x tends to x
nought
2
[]
ba,
b) improper fraction
3
(a, b)
c) closed interval
4
x=
()
+∞;
0
x
d) x equals the open interval x nought plus
infinite
5
X
0
x→
e) open interval a b
6
Lxf
xx
=
→
)(lim
1
f) the limit of f x as x tends to x one is capital
L
7
)()(lim
0
0
xfxf
xx
≠
→
g) the limit of f of x tends to x nought is not
equal to f of x nought
8
0lim =
∞→
n
x
a
h) the limit of a sub n is zero as n tends to
infinity
11.1.4. Translate into Russian
• m equals R sub one multiplied by x minus P sub one round brackets
opened, x minus a sub one, round brackets closed, minus P sub two
round brackets opened, x minus a sub two, round brackets closed
• a is directly proportional to b
• The limit for delta x tending to zero, of the sum of small f of x sub k
26
     11.1 Assignments

11.1.1. Memorize the following words and word-groups:
open interval              [`oupqn `Intqvql]       открытый интервал
closed interval            [`klouzd `Intqvql]      закрытый интервал,
half – open interval       [`hRf `oupqn `Intqvql]  наполовину открытый
                                                   интервал
infinite                   [`InfInIt]              бесконечный,
                                                   бесконечно большой
infinity                   [In`fInItI]             бесконечность

     11.1.2. Read the signs
        • (a, b]           half – open interval a b, open on the left and closed on the
                           right
        • X = (− ∞;+10) Capital x equals the open interval minus infinite plus ten
        • Y=tg x           y equals the tangent of x
        • xlim
             →x
                f ( x) = L the limit of f x as x tends to x one is capital L
                     1


         •       lim f ( x) ≠ f ( x0 the limit of f of x tends to x nought is not equal to f of x
                 x → x0
                                  nought
         • lim a n = 0            the limit of a sub n is zero as n tends to infinity
                 x →∞



     11.1.3. Match the columns
     1       23/6                          a)   x approaches x nought; or x tends to x
                                                nought
     2 [a, b]                              b)   improper fraction
     3 (a, b)                              c)   closed interval
     4 x= (x0 ;+∞ )                        d)   x equals the open interval x nought plus
                                                infinite
     5 X → x0                              e)   open interval a b
     6 xlim f ( x) = L                     f)   the limit of f x as x tends to x one is capital
         →x  1
                                                L
     7 xlim f ( x) ≠ f ( x0 )              g)   the limit of f of x tends to x nought is not
         →x  0
                                                equal to f of x nought
     8 lim  an = 0                         h)   the limit of a sub n is zero as n tends to
       x →∞
                                                infinity

     11.1.4. Translate into Russian
        • m equals R sub one multiplied by x minus P sub one round brackets
           opened, x minus a sub one, round brackets closed, minus P sub two
           round brackets opened, x minus a sub two, round brackets closed
        • a is directly proportional to b
        • The limit for delta x tending to zero, of the sum of small f of x sub k
26

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