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Z
S
sec()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the secant of this complex number
z
.
sec()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the secant of this octonion
o
.
sec()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the secant of this quaternion
q
.
sec()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the secant of this sedenion
s
.
sec()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the secant of this trigintaduonion
s
.
sech()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the hyperbolic secant of this complex number
z
.
sech()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the hyperbolic secant of this octonion
o
.
sech()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the hyperbolic secant of this quaternion
q
.
sech()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the hyperbolic secant of this sedenion
s
.
sech()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the hyperbolic secant of this trigintaduonion
s
.
Sedenion
- Class in
ca.uwaterloo.alumni.dwharder.Numbers
A class implementing sedenions using sixteen doubles.
Sedenion(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double)
- Constructor for class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Generates the sedenion
a
0
+
ia
1
+
ja
2
+
ka
3
+
e'a
4
+
i'a
5
+
j'a
6
+
k'a
7
+
e''a
8
+
i''a
9
+
j''a
10
+
k''a
11
+
e'''a
12
+
i'''a
13
+
j'''a
14
+
k'''a
15
.
Sedenion(double)
- Constructor for class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Generates the sedenion
a
0
+
i
0 +
j
0 +
k
0 +
e'
0 +
i'
0 +
j'
0 +
k'
0 +
e''
0 +
i''
0 +
j''
0 +
k''
0 +
e'''
0 +
i'''
0 +
j'''
0 +
k'''
0.
Sedenion(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double)
- Constructor for class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Generates the imaginary sedenion
ia
1
+
ja
2
+
ka
3
+
e'a
4
+
i'a
5
+
j'a
6
+
k'a
7
+
e''a
8
+
i''a
9
+
j''a
10
+
k''a
11
+
e'''a
12
+
i'''a
13
+
j'''a
14
+
k'''a
15
.
Sedenion(double[])
- Constructor for class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Generates a sedenion based on the entries of the array
v
.
Sedenion(double, double[])
- Constructor for class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Generates the sedenion
x
+
iv
1
+
jv
2
+
kv
3
+
e'v
4
+
i'v
5
+
j'v
6
+
k'v
7
+
e''v
8
+
i''v
9
+
j''v
10
+
k''v
11
+
e'''v
12
+
i'''v
13
+
j'''v
14
+
k'''v
15
.
signum()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns a normalized form of this complex number
z
when it is non-zero and
z
otherwise.
signum()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns a normalized form of this octonion
o
when it is non-zero and
o
otherwise.
signum()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns a normalized form of this quaternion
q
when it is non-zero and
q
otherwise.
signum()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns a normalized form of this sedenion
s
when it is non-zero and
s
otherwise.
signum()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns a normalized form of this trigintaduonion
s
when it is non-zero and
s
otherwise.
sin()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the sine of this complex number
z
.
sin()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the sine of this octonion
o
.
sin()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the sine of this quaternion
q
.
sin()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the sine of this sedenion
s
.
sin()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the sine of this trigintaduonion
s
.
sinh()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the hyperbolic sine of this complex number
z
.
sinh()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the hyperbolic sine of this octonion
o
.
sinh()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the hyperbolic sine of this quaternion
q
.
sinh()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the hyperbolic sine of this sedenion
s
.
sinh()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the hyperbolic sine of this trigintaduonion
s
.
sqr()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the square of this complex number
z
.
sqr()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the square of this octonion
o
.
sqr()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the square of this quaternion
q
.
sqr()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the square of this sedenion
s
.
sqr()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the square of this trigintaduonion
s
.
sqrt()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the square root of this complex number
z
.
sqrt()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the square root of this octonion
o
.
sqrt(Octonion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the square root of this octonion
o
.
sqrt()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the square root of this quaternion
q
.
sqrt(Quaternion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the square root of this quaternion
q
.
sqrt()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the square root of this sedenion
s
.
sqrt(Sedenion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the square root of this sedenion
s
.
sqrt()
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the square root of this trigintaduonion
s
.
sqrt(Trigintaduonion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the square root of this trigintaduonion
s
.
subtract(Complex)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Complex
Returns the difference between this complex number
z
and the complex number
w
=
c
+
id
.
subtract(Octonion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Octonion
Returns the difference between this octonion
o
and the octonion
p
=
b
0
+
ib
1
+
jb
2
+
kb
3
+
e'b
4
+
i'b
5
+
j'b
6
+
k'b
7
.
subtract(Quaternion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Quaternion
Returns the difference between this quaternion
q
and the quaternion
r
=
e
+
if
+
jc
+
kd
.
subtract(Sedenion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Sedenion
Returns the difference between this sedenion
s
and the sedenion
t
=
b
0
+
ib
1
+
jb
2
+
kb
3
+
e'b
4
+
i'b
5
+
j'b
6
+
k'b
7
+
e''b
8
+
i''b
9
+
j''b
10
+
k''b
11
+
e'''b
12
+
i'''b
13
+
j'''b
14
+
k'''b
15
.
subtract(Trigintaduonion)
- Method in class ca.uwaterloo.alumni.dwharder.Numbers.
Trigintaduonion
Returns the difference between this trigintaduonion
s
and the trigintaduonion
t
=
b
0
+
ib
1
+
jb
2
+...+
k
(7)
b
31
.
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