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2D field visualisation
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Gradient vector ▽f = (∂f/∂x, ∂f/∂y)
Gradient vector ▽f = (∂f/∂x, ∂f/∂y)
9
A z-dimension of zero is added for plotting
A z-dimension of zero is added for plotting
10
Expression 11: "G" Subscript, "r" "a" "d" "i" "e" "n" "t" , Baseline equals left parenthesis, 2 "a" , 2 "b" , 0 , right parenthesis equals left parenthesis, 2.8 , 1.6 , 0 , right parenthesis
G
r
a
d
i
e
n
t
=
2
a
,
2
b
,
0
equals
=
left parenthesis, 2.8 , 1.6 , 0 , right parenthesis
2
.
8
,
1
.
6
,
0
11
Expression 12:
12
Vector field representation
Vector field representation
13
Expression 14: vector left parenthesis, "P" Subscript, "o" "i" "n" "t" , Baseline , "P" Subscript, "o" "i" "n" "t" , Baseline plus "G" Subscript, "r" "a" "d" "i" "e" "n" "t" , Baseline times "S" Subscript, "i" "z" "e" , Baseline , right parenthesis Has graph.
v
e
c
t
o
r
P
o
i
n
t
,
P
o
i
n
t
+
G
r
a
d
i
e
n
t
·
S
i
z
e
14
Expression 15:
15
Adjust arrow size
Adjust arrow size
16
Expression 17: "S" Subscript, "i" "z" "e" , Baseline equals 0.1 9
S
i
z
e
=
0
.
1
9
0
0
1
1
17
18
powered by
powered by
"x"
x
"y"
y
"z"
z
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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