Prime Factorization; Function Calculations; Cases When Remainder Division Becomes Non-Remainder Division - Casio fx-115ES PLUS User Manual

Hide thumbs Also See for fx-115ES PLUS:
Table of Contents

Advertisement

Note:
.
Only the quotient value of a +R caIcUaIion is stored in Ans memory.
.
Assigning the result of a remainder division calculation to a variable
will assign
the quotient value only. Performing
the operation
5
~
lJiH+R)2@I@(STO)m(X)
(which assigns the result of 5+R2 to X)
will assign a value of 2 to X.
.
If a +R calculation is part of a multi-step
calculation, only the quotient is passed on to the next operation. (Example;
10
IE
17 ~1iiI(+R)6
§)
10+ 2) .Operation olthe
~ and 8 keysis
disabled while a remainder division result is on the display.
Cases when Remainder Division becomes
Non-remainder Division
If either of the following cond~ions exists when you pertorm a remainder
division operation, the calculation will be treated as normal (non-remainder)
division.
.
When e~her the dividend or the divisor is a very large value
Example:
20000000000 I!ffii!)
1 .)( +R) 17§)
Calculated as: 20000000000 + 17
.
When the quotient is not a pos~ive integer, or if the remainder is not a
positive integer or positive fractional value
Example;
lEI
5
~
I)IJ(+R)
2 §)
-> Calculatedas; -5 + 2
~Prime Factorization
.~.~.~mv.~.~
:1
--
~:
",~"""".'
~
.....-
In the COMP Mode, you can factor a positive integer up to 10 digits into
prime factors up to three digits.
To pertorm prime factorization on 1014
1014
IE!
[
IS!!J
f3
(FACT)
[
10141
2x3X13z1
When you pertorm prime factorization on a value that includes a factor that
is prime number with more than three dig~s, the part that cannot be factored
will be enclosed in parentheses
on the display.
To pertorm
prime factorization
on 4104676
(=
z2 x 10132)
@f3(FACT)
I
2zx(1026169)
I
Anyone
of the following operations
will exit prime factorization result
display.
.
Pressing 1!!!If3(FACT) or §).
.
Pressing any of the following keys; ~
or f3.
.
Using the setup menu to change the angle unit setting (Deg, Rad, Gra) or
the display digits setting (Fix, SCi, Norm).
Note:
.
You will not be able to execute prime factorization while a decimal
value, fraction, or negative value calculation result is displayed. Trying to
do so will cause a math error (Math ERROR).
.
You will not be able to
execute prime factorization while the result of a calculation that uses Pol,
Rec, +R is displayed.
E-19
For actual operations using each function, see the "Examples' section
following the list below.
1t: 1t is displayed
as
3.141592654, buf 1t
=
3.14159265358980 i sused for
intemal calculations.
e: e is displayed
as 2.718281828,
bute
=
2.71828182845904
is used
for
intemal calculations.
sin, cos, lan, sln-', coso" tan-':
Trigonometric functions. Specify the
angle un~ before pertorming calculations. See LJ..
sinh, cosh, tanh, slnh-'.
cosh-',
tanh-':
Hyperbolic functions. Input a
function from the menu that appears when you press ffiJ. The angle unit
setting does not affect calculations. See Itl..
',',9:
These functions specify the angle unit.
.
specifies degrees, 'radians,
and 9 grads. Input a function from the menu that appears when you pertorm
the following key operation; IS!!JfiW(DRG~). See h.
10., e.: Exponential functions. Note that the input method is different
depending upon whether you are using Natural Display or Unear Display.
Seeh.
log: logarithmic function. Use the
~
key to input log.b as log (a, b). Base
10 is the default
setting
if you do not input anything
for a. The
~
key also
can be used for input, but only while Natural Display is selected. In this
case, you must input a value for the base. See h.
In: Natural logarithm to base e. See h,.
x", x", xl, r.,
'r.,
o.rc;,.r':
Powers, power roots, and reciprocals. Note
that the input methods for x", r., 'r., and o.rc;are different depending upon
whether you are using Natural Display or linear Display. See LJ...
Note:
.
The following functions cannot be input in consecutive sequence;
r, x', x", x-'. If you input
2@1@1,
for example, the final @I will be ignored.
To input 222, input 2@1, press the @ key, and then press @I(ED).
.
r,
x', x-' can be used in complex
number
calculations.
/J.: Function for pertorming numerical integration using the Gauss-Kronrod
method. Natural Display input syntax is
J:f(x),
while linear Display input
syntax is
J(f(x), a, b,
tol). to/ specifies tolerance, which becomes 1 x
1~
when nothing is input for tot. Also see "Integration and Differential
Calculation Precautions" and ''Tips for Successful Integration Calculations"
for more information. See 6.
i;.:
Function for approximation of the derivative based on the central
difference method. Natural Display input syntax
is fx (f(x)) Ixo.'while
linear Display inputsyntaxis fx
(f(x),a, tol).
to/ specifies tolerance,
which becomes 1 x 10-'0 when nothing is input for tot. Also see "Integration
and Differential Calculation Precautions' for more information. See h.
b
~-:
Function that, for a specified
range ofj(x), determines sum
L (f(x))
....
=j(a)
+ j(a+l)
+ j(a+2)
+ ...+j(b). Natural
Display input syntax is L
(f(x)),
while linear
Display input syntax is
I(j(x), a, b).a and b are
inte9~rs that
E-20

Hide quick links:

Advertisement

Table of Contents
loading

This manual is also suitable for:

Fx-991es plus c

Table of Contents