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  2. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    Note that the arctan functions implemented in computer languages only produce results between −π/2 and π/2, which is why atan2 is used to generate all the correct orientations. Moreover, typical implementations of arctan also might have some numerical disadvantages near zero and one. Some implementations use the equivalent expression: [3]

  3. List of common coordinate transformations - Wikipedia

    en.wikipedia.org/wiki/List_of_common_coordinate...

    As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range of 180°, running from 0° to 180°, and does not pose any problem when calculated from an arccosine, but beware for an arctangent.

  4. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    The two figures below show 3D views of respectively atan2(y, x) and arctan(⁠ y / x ⁠) over a region of the plane. Note that for atan2(y, x), rays in the X/Y-plane emanating from the origin have constant values, but for arctan(⁠ y / x ⁠) lines in the X/Y-plane passing through the origin have constant

  5. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The inverse tangent denoted in φ = arctan ⁠ y / x ⁠ must be suitably defined, taking into account the correct quadrant of (x, y), as done in the equations above. See the article on atan2 .

  6. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. [1] (This convention is used throughout this article.) This notation arises from the following geometric relationships: [ citation needed ] when measuring in radians, an angle of θ radians will correspond to an arc ...

  7. List of PDF software - Wikipedia

    en.wikipedia.org/wiki/List_of_PDF_software

    Supports merging, splitting, and extracting pages from PDFs. Also rotating, deleting and reordering pages. Converts PDF to Word, Excel, PowerPoint, raster images. Soda PDF: Proprietary: Yes Yes Yes Modular PDF software. Solid Converter PDF: Proprietary: Yes Yes Yes PDF to Word, Excel, HTML and Text; supports passwords, text editing, and batch ...

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