# visualizations of modulus

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## 6 matching pages

##### 1: 36.3 Visualizations of Canonical Integrals

##### 2: 36.5 Stokes Sets

###### §36.5(iv) Visualizations

… ►##### 3: 9.9 Zeros

##### 4: 28.33 Physical Applications

##### 5: Errata

Scales were corrected in all figures. The interval $-8.4\le \frac{x-y}{\sqrt{2}}\le 8.4$ was replaced by $-12.0\le \frac{x-y}{\sqrt{2}}\le 12.0$ and $-12.7\le \frac{x+y}{\sqrt{2}}\le 4.2$ replaced by $-18.0\le \frac{x+y}{\sqrt{2}}\le 6.0$. All plots and interactive visualizations were regenerated to improve image quality.

(a) Density plot. | (b) 3D plot. |

Figure 36.3.9: Modulus of hyperbolic umbilic canonical integral function $|{\mathrm{\Psi}}^{(\mathrm{H})}\left(x,y,0\right)|$.

(a) Density plot. | (b) 3D plot. |

Figure 36.3.10: Modulus of hyperbolic umbilic canonical integral function $|{\mathrm{\Psi}}^{(\mathrm{H})}\left(x,y,1\right)|$.

(a) Density plot. | (b) 3D plot. |

Figure 36.3.11: Modulus of hyperbolic umbilic canonical integral function $|{\mathrm{\Psi}}^{(\mathrm{H})}\left(x,y,2\right)|$.

(a) Density plot. | (b) 3D plot. |

Figure 36.3.12: Modulus of hyperbolic umbilic canonical integral function $|{\mathrm{\Psi}}^{(\mathrm{H})}\left(x,y,3\right)|$.

*Reported 2016-09-12 by Dan Piponi.*