Quaternion

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In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore also a domain. In fact, the quaternions were the first noncommutative division algebra to be discovered. The algebra of quaternions is often denoted by H (for Hamilton), or in blackboard bold by H{\displaystyle \mathbb {H} } (Unicode U+210D, ℍ). It can also be given by the Clifford algebra classifications Cl0,2(ℝ) ≅ Cl+3,0(ℝ). The algebra ℍ holds a special place in analysis since, according to the Frobenius theorem, it is one of only two finite-dimensional division rings containing the real numbers as a proper subring, the other being the complex numbers. These rings are also Euclidean Hurwitz algebras, of which quaternions are the largest associative algebra. Further extending the quaternions yields the non-associative octonions, which is the last normed division algebra over the reals (the extension of the octonions, sedenions, has zero divisors and so cannot be a normed division algebra).

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Quaternion - Wikipedia
Quaternion - Wikipedia picture
Quaternion - Wikipedia
Quaternion - Wikipedia picture
Quaternion for beginner - Mathematics Stack Exchange
Quaternion for beginner - Mathematics Stack Exchange picture
quaternion.m - File Exchange - MATLAB Central
quaternion.m - File Exchange - MATLAB Central picture
Create a quaternion array - MATLAB
Create a quaternion array - MATLAB picture
Understanding Quaternions | 3D Game Engine Programming
Understanding Quaternions | 3D Game Engine Programming picture
Understanding Quaternions | CH Robotics
Understanding Quaternions | CH Robotics picture
Understanding Quaternions | 3D Game Engine Programming
Understanding Quaternions | 3D Game Engine Programming picture
Understanding Quaternions | 3D Game Engine Programming
Understanding Quaternions | 3D Game Engine Programming picture
Quaternion Properties and Interactive Rotations with ...
Quaternion Properties and Interactive Rotations with ... picture
Quaternion group - Wikipedia
Quaternion group - Wikipedia picture
The Center of Math Blog: Throwback Fact: Quaternions
The Center of Math Blog: Throwback Fact: Quaternions picture
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ios - Rotation angles from Quaternion - Stack Overflow picture
Maths - Alternative Quaternion Notations Axis Angle ...
Maths - Alternative Quaternion Notations Axis Angle ... picture
[ROS Q&A] Treating quaternions for 2D navigation
[ROS Q&A] Treating quaternions for 2D navigation picture
Understanding Quaternions | 3D Game Engine Programming
Understanding Quaternions | 3D Game Engine Programming picture
quaternion vs euler rotation - YouTube
quaternion vs euler rotation - YouTube picture
Quaternions
Quaternions picture
Quaternion - Second Life Wiki
Quaternion - Second Life Wiki picture
Maths - Dual Quaternions - Martin Baker
Maths - Dual Quaternions - Martin Baker picture
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Quaternion Slerp v.s. Matrix Lerp - YouTube picture
File:Versor action on Hurwitz quaternions.svg - Wikimedia ...
File:Versor action on Hurwitz quaternions.svg - Wikimedia ... picture
From Quaternion to 3D Rotation - YouTube
From Quaternion to 3D Rotation - YouTube picture
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quaternions - the analytic poem picture
Quaternion
Quaternion picture
The Center of Math Blog: Throwback Fact: Quaternions
The Center of Math Blog: Throwback Fact: Quaternions picture
Visualizing quaternions (4d numbers) with stereographic ...
Visualizing quaternions (4d numbers) with stereographic ... picture
Quaternion Rotation - JCCC MATH/PHYS 191
Quaternion Rotation - JCCC MATH/PHYS 191 picture
Quaternion Julia Sets | Softology's Blog
Quaternion Julia Sets | Softology's Blog picture
Quaternion rotation visualization
Quaternion rotation visualization picture
Cool fractal program - AOA Forums
Cool fractal program - AOA Forums picture
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Maths - Using vectors with quaternions - Martin Baker picture
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4D Quaternion Julia Set Ray Tracer • subblue picture
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math - Global Quaternion conversion to Local Quaternion ... picture
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Quaternion Julia Set Shape Optimization picture
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Quaternion Julia Fractals picture
transformation - Rotation in 3D space using Quaternion ...
transformation - Rotation in 3D space using Quaternion ... picture
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Cameras on OpenGL ES 2.x - The ModelViewProjection Matrix picture
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Understanding Quaternions3D Game Engine Programming picture
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OpenSCAD::Quaternions picture
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4D Quaternion Julia Set Ray Tracer • subblue picture
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-source: http://commons.wikimedia.org/wiki/Image ... picture
Rotating 4D Quaternion Julia set - YouTube
Rotating 4D Quaternion Julia set - YouTube picture
ELI5: what do quaternions represent and why do they work ...
ELI5: what do quaternions represent and why do they work ... picture
unity3d - What is z rotation in unity 2D? - Stack Overflow
unity3d - What is z rotation in unity 2D? - Stack Overflow picture
Quaternions and 3d rotation, explained interactively - YouTube
Quaternions and 3d rotation, explained interactively - YouTube picture
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MPU6050 Flip Orientation - MPU-6050 6-axis accelerometer ... picture
Quaternion Julia Fractals
Quaternion Julia Fractals picture
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Sensors | Free Full-Text | Improving the Precision and ... picture
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Fractals picture
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Legendre's ODE III: Verifying/'Proving' Rodrigues' Formula ... picture
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Sensors | Free Full-Text | Quaternion-Based Gesture ... picture
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OpenGL 2.1 Demopack for GeeXLab | HackLAB picture
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Briefe – Wikisource picture
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DIY Wood Cutting Boards Free Designs Wooden PDF wooden ... picture

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