Mathematical Foundations of Data Science Using R by Frank Emmert-Streib

Author:Frank Emmert-Streib
Language: eng
Format: epub
Publisher: De Gruyter
Published: 2020-07-06T13:56:39.983000+00:00

2.

The spherical coordinates of can be obtained as follows:

(12.9)

Conversely the cartesian coordinates can be recovered as follows:

(12.10)

Relationships between cylindrical and spherical coordinates also exist. From cylindrical coordinates, spherical coordinates can be obtained as follows:

(12.11)

Conversely, the cylindrical coordinates can be recovered as follows:

(12.12)

In R, the above coordinate system transformations can be carried out using the scripts in Listing 12.4.

Example 12.1.2.

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