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36
Integrals with Coalescing Saddles
Properties
36.3
Visualizations of Canonical Integrals
36.3
Visualizations of Canonical Integrals
36.4
Bifurcation Sets
Figure 36.3.9
(See
in context
.)
3D
Help
(a) Density plot.
(b) 3D plot.
Figure 36.3.9:
Modulus of hyperbolic umbilic canonical integral function
|
Ψ
(
H
)
(
x
,
y
,
0
)
|
.
3D
Help
ⓘ
Annotations:
Symbols:
Ψ
(
H
)
(
𝐱
)
: hyperbolic umbilic canonical integral function
,
y
: real parameter
and
x
: real parameter
Keywords:
hyperbolic umbilic canonical integral
,
pictures of modulus
Permalink:
http://dlmf.nist.gov/36.3.F9.mag
Encodings:
Magnified png
,
Magnified png
,
Vizualization
,
pdf
,
pdf
Errata (effective with 1.0.14):
Scales were corrected. The interval
−
8.4
≤
x
−
y
2
≤
8.4
was replaced by
−
12.0
≤
x
−
y
2
≤
12.0
and
−
12.7
≤
x
+
y
2
≤
4.2
replaced by
−
18.0
≤
x
+
y
2
≤
6.0
.
Reported 2016-09-12 by Dan Piponi
See also:
Annotations for
§36.3
and
Ch.36