Основные математические понятия в английском языке. Прокошева И.И. - 27 стр.

UptoLike

Составители: 

delta x taken from x sub k equal to a to x sub k equal to b minus delta x
equals the integral from a to b of small f of xdx equals capital F of x
between limits a and b equals capital F of minus capital F of a equals
capital A
x approaches x nought; or x tends to x nought
the logarithm of c to the base b is equal to n
the limit of f of x tends to x nought is not equal to f of x nought
11.1.5. Insert a proper word
1. Open interval can be shown by . . . .
a) parentheses
b) brace
c) point
2. Closed interval can be shown by . . . .
a) square brackets
b) brace
c) round brackets
3. Half open interval can be shown by . . . .
a) brackets
b) round brackets on the left and square brackets on the right
a) infinity
Tasks.
1. Analyse and memorize
()
(
)
+=
12
1/ mm
m
c
z
bz
ϕ
a)
ϕ
of z is equal to b, square brackets, parenthesis, z divided by c sub m plus
two, close parenthesis, to the power of m over m minus 1, minus 1, close
square brackets.
b)
ϕ
 оf z is equal to b, multiplied by the whole quantity: the quantity two plus z
over c sub m, to the power m over minus 1, minus 1.
() ()
Μ
j
t
j
ttt
ii
ββ
ϕϕ
2121
The absolute value of the quantity
ϕ
sub j of t sub one, minus
ϕ
sub j of t sub two
is less than or equal to the absolute value of the quantity M of t sub one minus
β
over j, minus M of t sub two minus
β
over j
()
[]
njbattak
n
i
ij
j
....2,1;,;max
1
==
=
27
     delta x taken from x sub k equal to a to x sub k equal to b minus delta x
     equals the integral from a to b of small f of xdx equals capital F of x
     between limits a and b equals capital F of minus capital F of a equals
     capital A
   • x approaches x nought; or x tends to x nought
   • the logarithm of c to the base b is equal to n
   • the limit of f of x tends to x nought is not equal to f of x nought

11.1.5. Insert a proper word
      1. Open interval can be shown by . . . .
              a) parentheses
              b) brace
              c) point
      2. Closed interval can be shown by . . . .
          a) square brackets
          b) brace
          c) round brackets
      3. Half open interval can be shown by . . . .
          a) brackets
          b) round brackets on the left and square brackets on the right
          a) infinity

                                           Tasks.
                                     1. Analyse and memorize
                                                         m / ( m −1)
                                                   z                 
                                 ϕ ( z ) = b  2 +               − 1
                                                 cm                 


a) ϕ of z is equal to b, square brackets, parenthesis, z divided by c sub m plus
   two, close parenthesis, to the power of m over m minus 1, minus 1, close
   square brackets.
b) ϕ
     оf z is equal to b, multiplied by the whole quantity: the quantity two plus z
   over c sub m, to the power m over minus 1, minus 1.

                                                          β            β
                         ϕ i (t1 ) − ϕ i (t2 ) ≤  t1 −     − Μ  t2 − 
                                                          j            j


The absolute value of the quantity ϕ   sub j of t sub one, minus ϕ sub j of t sub two
is less than or equal to the absolute value of the quantity M of t sub one minus β
over j, minus M of t sub two minus β over j
                                       n
                         k = max ∑ aij (t ) ;          t ∈ [a, b];    j = 1,2....n
                                 j
                                      i =1



                                                                                       27