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1: 34.9 Graphical Method
§34.9 Graphical Method
The graphical method establishes a one-to-one correspondence between an analytic expression and a diagram by assigning a graphical symbol to each function and operation of the analytic expression. …For specific examples of the graphical method of representing sums involving the 3 j , 6 j , and 9 j symbols, see Varshalovich et al. (1988, Chapters 11, 12) and Lehman and O’Connell (1973, §3.3).
2: 5.3 Graphics
§5.3 Graphics
See accompanying text
Figure 5.3.1: Γ ( x ) and 1 / Γ ( x ) . … Magnify
See accompanying text
Figure 5.3.3: ψ ( x ) . Magnify
In the graphics shown in this subsection, both the height and color correspond to the absolute value of the function. …
See accompanying text
Figure 5.3.6: | ψ ( x + i y ) | . Magnify 3D Help
3: 6.3 Graphics
§6.3 Graphics
See accompanying text
Figure 6.3.1: The exponential integrals E 1 ( x ) and Ei ( x ) , 0 < x 2 . Magnify
See accompanying text
Figure 6.3.2: The sine and cosine integrals Si ( x ) , Ci ( x ) , 0 x 15 . Magnify
See accompanying text
Figure 6.3.3: | E 1 ( x + i y ) | , - 4 x 4 , - 4 y 4 . … Magnify 3D Help
4: 4.29 Graphics
§4.29 Graphics
§4.29(i) Real Arguments
See accompanying text
Figure 4.29.6: Principal values of arccsch x and arcsech x . … Magnify
§4.29(ii) Complex Arguments
5: Qiming Wang
Web-based 3D graphics and visualization are her main research and development interests. … She is a developer of 2D and 3D graphics for the DLMF project.
6: Need Help?
  • Graphics

  • 7: 7.3 Graphics
    §7.3 Graphics
    See accompanying text
    Figure 7.3.1: Complementary error functions erfc x and erfc ( 10 x ) , - 3 x 3 . Magnify
    See accompanying text
    Figure 7.3.2: Dawson’s integral F ( x ) , - 3.5 x 3.5 . Magnify
    See accompanying text
    Figure 7.3.5: | erf ( x + i y ) | , - 3 x 3 , - 3 y 3 . … Magnify 3D Help
    See accompanying text
    Figure 7.3.6: | erfc ( x + i y ) | , - 3 x 3 , - 3 y 3 . … Magnify 3D Help
    8: Viewing DLMF Interactive 3D Graphics
    Viewing DLMF Interactive 3D Graphics
    WebGL is a JavaScript API (application programming interface) for rendering 3D graphics in a web browser without the use of a plugin. Our WebGL code is based on the X3DOM framework which allows the building of the WebGL application around X3D, an XML based graphics code. … ” VRML (Virtual Reality Modeling Language) is a standard file format for viewing 3D graphics on the web and X3D is its successor. …
    9: 4.3 Graphics
    §4.3 Graphics
    See accompanying text
    Figure 4.3.1: ln x and e x . … Magnify
    In the graphics shown in this subsection height corresponds to the absolute value of the function and color to the phase. …
    See accompanying text
    Figure 4.3.3: ln ( x + i y ) (principal value). … Magnify 3D Help
    See accompanying text
    Figure 4.3.4: e x + i y . Magnify 3D Help
    10: 11.3 Graphics
    §11.3 Graphics
    See accompanying text
    Figure 11.3.1: H ν ( x ) for 0 x 12 and ν = 0 , 1 2 , 1 , 3 2 , 2 , 3 . Magnify
    See accompanying text
    Figure 11.3.2: K ν ( x ) for 0 < x 16 and ν = 0 , 1 2 , 1 , 3 2 , 2 , 3 . Magnify
    See accompanying text
    Figure 11.3.3: H ν ( x ) for 0 x 12 and ν = - 3 , - 2 , - 3 2 , - 1 , - 1 2 . Magnify
    See accompanying text
    Figure 11.3.4: K ν ( x ) for 0 < x 16 and ν = - 4 , - 3 , - 2 , - 1 , 0 . … Magnify