Основные математические понятия в английском языке. Прокошева И.И. - 19 стр.

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2
2
dx
zd
the second derivative of y with respect to x
n
n
dx
zd
the n-th derivative of y with respect to x
()
xfy =
y is a function of x ; or: y equals f of x
→
approaches; or: approaches the limit; or: tends to
a
x
→
x approaches the limit a
0
xx →
x approaches x nought; or: x tends to x naught
∫
⋅⋅⋅
m
n
integral of … from n to m; or: integral of … between
limits n and m
2
2 xdxx =
∫
the integral of 2x dx is x
2
∫
x
x
lxdx
dx
d
0
d over dx of the integral from x sub 0 (or: from x zero-
th) to x of capital Lxdx
()
()
22
111
axP
axPxRm
−−
−−=
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; or: m equals R
first x minus P first multiplied by the difference between
x and a sub one minus P second multiplied by the
difference between x and a sub two
∑
the sum
∑
=
n
nl
i
x
Summing over x sub i from one to n
8.1 Assignments
8.1.1. Memorize the following words and word-groups:
a prime
[praIm]
штрих, со штрихом
a double prime
[`dAbl `praIm]
двойной штрих; два
штриха
a triple prime
[`trIpl `praIm]
тройной штрих; три
штриха
a first prime
[`fq:st `praIm]
modulus
pl moduli
[`mOdjulqs]
[`mOdjulaI]
абсолютное значение
(числа), модуль
derivative of
[dI`rIvqtIv qv]
производная;
производное число от
with respect to
[wID rIs`pekt tq]
что касается, по
approach
[q`prouC]YUU
приближаться,
подходить; достигать
значения
integral of
[`IntIgrql ]
интеграл от
19
            d 2z                      the second derivative of y with respect to x
            dx 2
            d nz                       the n-th derivative of y with respect to x
            dx n
          y = f (x )                     y is a function of x ; or: y equals f of x
             →                     approaches; or: approaches the limit; or: tends to
           x→a                                    x approaches the limit a
           x → x0                    x approaches x nought; or: x tends to x naught
                 m
                                 integral of … from n to m; or: integral of … between
             ∫n
                     ⋅⋅⋅
                                                       limits n and m
        ∫ 2 xdx = x
                           2
                                                 the integral of 2x dx is x2
          d
                 x
                                d over dx of the integral from x sub 0 (or: from x zero-
          dx x∫0
                 lxdx
                                                th) to x of capital Lxdx
   m = R1 x − P1 ( x − a1 )       m equals R sub one multiplied by x minus P sub one
   − P2 ( x − a 2 )                 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; or: m equals R
                               first x minus P first multiplied by the difference between
                                   x and a sub one minus P second multiplied by the
                                          difference between x and a sub two
                  ∑                                      the sum
              n
                                          Summing over x sub i from one to n
            ∑x
             l =n
                       i




        8.1 Assignments

8.1.1. Memorize the following words and word-groups:
a prime                    [praIm]                  штрих, со штрихом
a double prime             [`dAbl `praIm]           двойной штрих; два
                                                    штриха
a triple prime             [`trIpl `praIm]          тройной штрих; три
                                                    штриха
a first prime              [`fq:st `praIm]
modulus                    [`mOdjulqs]              абсолютное значение
pl moduli                  [`mOdjulaI]              (числа), модуль

derivative of                    [dI`rIvqtIv qv]             производная;
                                                             производное число от
with respect to                  [wID rIs`pekt tq]           что касается, по
approach                         [q`prouC]YUU                приближаться,
                                                             подходить; достигать
                                                             значения
integral of                      [`IntIgrql ]                интеграл от

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