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42
b
∫ ƒ(x) dx
a
the definite integral of ƒ(x)with respect to x from a to b
(between limits a and b)
c(s)= K
ab
c of s is equal to K sub ab
x
a-b
= c x sub a minus b is equal to c
a ∝ b
a varies directly as b
a : b :: c : d;
a : b = c : d
a is to b as (equals) c is to d
x × 6 = 42
x times six is forty two; x multiplied by six is forty two
10 ÷ 2 = 5
ten divided by two is equal to five; ten over two is five
a
c
2
= b
a squared over c equals b
a
5
= c a raised to the fifth power is c; a to the fifth degree is equal to
c
ab
ab
+
−
= c
a plus b over a minus b is equal to c
a
3
= log
c
b a cubed is equal to the logarithm of b to the base c
log
a
b = c the logarithm of b to the base a is equal to c
x
a-b
= c x sub a minus b is equal to c
∂
∂
u
t
2
= 0
the second partial derivative of u with respect to t equals zero
c : d = e : l c is to d as e is to l
15 : 3 = 45 : 9 fifteen is to three as forty five is to nine; the ratio of fifteen to
three is equal to the ratio of forty five to nine
p Т fxi X
i
n
()Δ
=
−
∑
0
1
p is approximately equal to the sum of x sub i delta x sub i and
it changes from zero to n minus one
⎜√a
2
+b
2
- √a
2
+b
1
2
⎜#⎪b - b
1
⎪
the square root of a squared plus b squared minus the square
root of a squared plus b sub one squared by absolute value is
less or equal to b minus b sub one by absolute value (by
modulus)
lim a
z
n
a
z
n
#
n
→ ∞
a to the power z sub n is less or equal to the limit a to the
power z sub n where n tends (approaches) the infinity
j
n
=
∑
1
a
j
; j = 1,2 … n
The sum of n terms a sub j, where j runs from 1 to n
b the definite integral of ƒ(x)with respect to x from a to b
∫ ƒ(x) dx
a (between limits a and b)
c(s)= Kab c of s is equal to K sub ab
xa-b = c x sub a minus b is equal to c
a∝b a varies directly as b
a : b :: c : d; a is to b as (equals) c is to d
a:b=c:d
x × 6 = 42 x times six is forty two; x multiplied by six is forty two
10 ÷ 2 = 5 ten divided by two is equal to five; ten over two is five
a2 a squared over c equals b
=b
c
a5 = c a raised to the fifth power is c; a to the fifth degree is equal to
c
a+b a plus b over a minus b is equal to c
=c
a−b
a3 = logcb a cubed is equal to the logarithm of b to the base c
logab = c the logarithm of b to the base a is equal to c
xa-b = c x sub a minus b is equal to c
the second partial derivative of u with respect to t equals zero
∂u
2
=0
∂t
c:d=e:l c is to d as e is to l
15 : 3 = 45 : 9 fifteen is to three as forty five is to nine; the ratio of fifteen to
three is equal to the ratio of forty five to nine
n −1 p is approximately equal to the sum of x sub i delta x sub i and
p Т ∑ f ( xi )ΔX it changes from zero to n minus one
i=0
⎜√a2+b2 - √a2+b12 ⎜#⎪b - b1⎪ the square root of a squared plus b squared minus the square
root of a squared plus b sub one squared by absolute value is
less or equal to b minus b sub one by absolute value (by
modulus)
zn
lim a a to the power z sub n is less or equal to the limit a to the
azn # power z sub n where n tends (approaches) the infinity
n→ ∞
n
∑ j =1
aj; j = 1,2 n
The sum of n terms a sub j, where j runs from 1 to n
42
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