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E-21 – Casio fx-115ES PLUS User Manual

Page 22

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E-21

can be specified within the range of –1

× 10

10

a

b

1 × 10

10

. See

10

.

Note: The following cannot be used in

f

(

x

): Pol, Rec, ÷R. The following cannot

be used in

f

(

x

),

a

, or

b

:

∫,

d

/

dx

,

Σ, Π.

9: Determines the product of

f

(

x

) over a given range. The calculation

formula is:

(

f

(

x

))

x=a

b

=

f

(

a

)

×

f

(

a

+1)

×

f

(

a

+2)

Ч ... Ч

f

(

b

). The Natural Display

input syntax is

(

f

(

x

))

x=a

b

, while the Linear Display input syntax is

(

f

(

x

),

a

,

b

).

a

and

b

are integers in the range of

a

1 × 10

10

,

b

1 × 10

10

,

a

b

.

See

11

.

Note: The following cannot be used in

f

(

x

): Pol, Rec, ÷R. The following cannot

be used in

f

(

x

),

a,

or

b

:

∫,

d

/

dx

,

Σ, .

Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while
Rec converts polar coordinates to rectangular coordinates. See

12

.

Pol(

x

,

y

) = (

r

, )

Rec(

r

, ) = (

x

,

y

)

Specify the angle unit before
performing calculations.

The calculation result for

r

and

and for

x

and

y

are each assigned

respectively to variables X and Y.
Calculation result

θ is displayed

in the range of −180°

θ

180°.

Rectangular
Coordinates (Rec)

Polar
Coordinates (Pol)

x

! : Factorial function. See

13

.

Abs : Absolute value function. Note that the input method is different
depending upon whether you are using Natural Display or Linear Display.
See

14

.

Ran# : Generates a 3-digit pseudo random number that is less than 1.
The result is displayed as a fraction when Natural Display is selected.
See

15

.

RanInt# : For input of the function of the form RanInt#(

a

,

b

), which generates

a random integer within the range of

a

to

b

. See

16

.

n

P

r

,

n

C

r

: Permutation (nPr) and combination (nCr) functions. See

17

.

Rnd : The argument of this function is made a decimal value and then rounded
in accordance with the current number of display digits setting (Norm, Fix, or
Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. With
Fix and Sci, the argument is rounded off to the specified digit. When Fix 3
is the display digits setting, for example, the result of 10 ÷ 3 is displayed
as 3.333, while the calculator maintains a value of 3.33333333333333 (15
digits) internally for calculation. In the case of Rnd(10÷3) = 3.333 (with Fix
3), both the displayed value and the calculator’s internal value become
3.333. Because of this a series of calculations will produce different results
depending on whether Rnd is used (Rnd(10ч3)

Ч 3 = 9.999) or not used (10

ч 3

Ч 3 = 10.000). See

18

.

GCD, LCM: GCD determines the greatest common divisor of two values,

while LCM determines the least common multiple. See

19.

Int: Extracts the integer part of a value. See

20

.