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Quaternion conjugate versus complex conjugate

Java Lists (with examples) | Code Underscored

The coupling of a composite number

Is the composite number

Taking the close becomes a composite number, taking its reflection in the true axis.

The multiplication stretches and rotates composite numbers, and a compound translates composite numbers. You can not make the complex plane by any series of extensions, turns and translations.

The situation is different for Quaternions. Quaternion Coupling

he

are you tin Transform the four-dimensional space by a series of extensions, rotations and translations. That is

To prove this equation, let’s first see what happens when you multiply That On both sides by I am:

That is, the effect of multiplication on both sides b I am Is to become the sign of the real component and I am component.

Doubling in both sizes b י or K Works analogically: it becomes the mark of the real component and its component, leaving the other two alone.

It follows

Therefore the result is due to a division in 2.

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