Casio Fx 991es Manual
E-36
To input the scientific constant C
0
Demonstration of the use of the Casio fx-991ES PLUS calculator in matrix mode. Using the equation mode for an augmented matrix solving a system of equations. Using the matrix mode for creating.
(speed of light in a vacuum), and
display its value
000e00050016(CONST)
00110017(C
0
)
001b
To calculate C
0
=
1
0001
0
0001
0
0019
000e0006 1 A
0
)
00050016(CONST)00120012(
μ
0
)
001b
The following shows the two-digit numbers for each of the scientific
constants.
01: (mp) proton mass
02: (mn) neutron mass
03: (me) electron mass
04: (m
μ
) muon mass
05: (a
0
) Bohr radius
06: (h) Planck constant
07: (
μ
N) nuclear magneton
08: (
μ
B) Bohr magneton
09: (
+) Planck constant,
rationalized
10: (
A) fine-structure constant
11: (re) classical electron radius
12: (
Lc) Compton wavelength
13: (
Gp) proton gyromagnetic ratio
14: (
Lcp) proton Compton
wavelength
15: (
Lcn) neutron Compton
wavelength
16: (R
d) Rydberg constant
17: (u) atomic mass constant
18: (
μ
p) proton magnetic
moment
19: (
μ
e) electron magnetic moment
20: (
μ
n) neutron magnetic
moment
21: (
μμ
) muon magnetic moment
22: (F) Faraday constant
23: (e) elementary charge
24: (NA) Avogadro constant
25: (k) Boltzmann constant
26: (Vm) molar volume of ideal
gas
27: (R) molar gas constant
28: (C
0
) speed of light in vacuum
29: (C
1
) first radiation constant
30: (C
2
) second radiation
constant
31: (
S) Stefan-Boltzmann constant
32: (
E
0
) electric constant
0001000200040003
0001000200040003
0001000200040003
0001000200040003
E-18
To generate random integers in the range of 1 to 6
(RanInt) 1 0005(,) 6 001c
2
001c
6
001c
1
(Results shown here are for illustrative purposes only. Actual results will differ.)
To determine the number of permutations and combinations
possible when selecting four people from a group of 10
Permutations:
10
0005 (nPr) 4 001c
5040
Combinations:
10
0005000e(nCr) 4 001c
210
To perform the following calculations when Fix 3 is selected for the
number of display digits: 10 ÷ 3
s 3 and Rnd(10 ÷ 3) s 3 1
0005001b(SETUP)0015(Fix)0012
10
000e 3 3 001b
10.000
0005000f(Rnd) 10 000e 3 3 001b
9.999
Complex Number Calculations
(CMPLX)
To perform complex number calculations, first press
001b0011(CMPLX) to
enter the CMPLX Mode. You can use either rectangular coordinates (
a
+
bi
)
or polar coordinates (
r
θ) to input complex numbers. Complex number
calculation results are displayed in accordance with the complex number
format setting on the setup menu.
(2 + 6
i
) ÷ (2
i
) = 3 –
i
(Complex number format:
a
+
bi
)
0007 2 6 $(
i
)
000e0007 2 $(
i
)
001b
3–
i
2
'
2 +
'
2
i
0019B (Complex number format:
a
+
bi
)
2
0005() 45 001b
'
2 +
'
2
i
'
2 +
'
2
i
= 2
r
θ
)
i
)
001b
2
45
Note: • If you are planning to perform input and display of the calculation
result in polar coordinate format, specify the angle unit before starting the
calculation. • The
θ
value of the calculation result is displayed in the range
of –180°
θ
is selected will show
a
and
bi
(or
r
and
θ
) on separate lines.
CMPLX Mode Calculation Examples
(1
–
i
)
–1
= 1
2
1
2
+
i
0019 (Complex number format:
a
+
bi
)
0007 1 $(
i
)
0014001b
1
2
1
2
+
i
(1
+
i
)
Casio Fx 991es Manual
2
+ (1 –
i
)
2
= 0
0019
0007 1 $(
i
)
70007 1 $(
i
)
7001b
0
15
15
16
16
17
17