Complex Number Calculations (Cmplx); Using Calc; Using A Command To Specify The Calculation Result Format - Casio fx-115ES PLUS User Manual

~
To detennine the greatest common divisor of 28 and 35
~ IKI
(GCD)281!!i1
en (,)35m §
To detennine the least common multiple of 9 and 15
~ IE(LCM)91!!i1 m(,) 15 m §
&
To extract the integer part of -3.5
~ ~ (Int)ffjJ 3.5 m §
~
To detennine the largest integer that does not exceed -3.5
~EI(lntg)1B3.5en§
-4
,Complex Number Calculatie»ns TC-MPLXLJ
To perform complex number calculations, first press
I!!ID
m (CMPLX) t o
enter the CMPLX Mode. You can use either rectangular coordinates (a+b,)
or polar coordinates (r L8) to input complex numbers. Complex number
calculation results are displayed in accordance with the complex number
fonnat selling on the setup menu.
/
(2 + 6') + (2') = 3
-
i (Complex number fonnat: a + b,)
m2~6(@(,)enlEm2ffijg)(,)en§ 3-i
/
2 L 45 = .f2 + .f2i ED_ (Complex number f onnat:a + b,)
21!!i1
ffjJ
(L)45§ v'2 +v'2i
/
.f2 + .f2i = 2 L 45 ED_ (Complex n umber ' onnat:rL8)
~2@~GSJ2@~(')§ 2L45
Note:
.
If you are planning to perfonn input and display of the calculation
resultin polarcoordinate fonnat,specifythe angleunitbeforestartingthe
calculation.
.
The () value of the calculation result is displayed in the range
of -180. < () :; 180.. . Display of the calculation result while Linear Display
is selected will show a and bi (or rand () on separate lines.
CMPLX Mode Calculation Examples
/
(1
- ,)-' = t+ti ED (Complex n umber f onnat:a + bi)
m
1EI(@(,)en~§
/
(1H)'+(1-')'=0 ED
m 11E(@(')IIJ~~m1 EI(@(,)en~§
To obtain the conjugate complex number of 2 + 3i (Complex number
fonnat: a + b,)
I!!iI m (CMPLX) m (Conjg) 2~ 3(!!g(')
e n§ 2-3i
/
To obtain the absolute value and argument of 1 + i
ED_
Absolute Value: I!!ilI!iI(Abs) 1 ~ (@(,)§ v'2
Argument: I!!iI m(CMPLX)II) (arg)1 ~~(,)en § 45
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7
Using a Command to Specify the Calculation Result
Format
Eitherof twospecial c ommands
(~rL() or ~a+b,) can be input at the end
of a calculation to specify the display fonnat of the calculation results. The
command overrides the calculato(s complex number fonnat selling.
/
.f2+.f2i=2L45, 2L45=.f2+.f2i
ED_
~
2 @ ~ GSJ2@~(')1!!iI m(CMPLX)(!](~rL()§
21!!i11B1(L)451!!i1 m(CMPLX)(!J(~a+b,)§
45
-3
2L45
v'2+v'2i
o
Using~L!L-__ _ _ _ ..
CALC lets you save calculationexpressions that contain variables, which you
can Ihen recall and execute in the COMP Mode
(I!!ID
II) andtheCMPLX
Mode(@IDm).
The following describes the types of expressions you can
save with CALC.
.
Expressions: 2X + 3Y, 2AX + 3BY + C, A + Bi
. Multi-statements: X + Y : X (X + Y)
.
Equalities with a single variable on the left and an expression including
variables on the right: A = B + C, Y = X' + X + 3
(Use
~ @!£I(=)
to input the equals sign of the equality.)
/
To store 3A + B and then substitute the following values to perfonn
the calculation: (A, B) = (5, 10), (7, 20)
3~ffjJ(A)~~E3(B)13A+EI
m...
\
~
·
-
01
I
Prompts
for input of a value for A Currant
value of A
5§10§\3A+B
9
-:5\
I
m
1
I
@!£I(or §) A? 5
7§20§ 13A+B
II
-:1\
To exit CALC: €£I
E-26
I