अंकीय संख्या एक आहेत आणि एक आणि एक ची बेरीज,

ternions's Usage Examples:

interesting thing to note is that this expression is identical under relabelling to the extended Euler formula for quaternions.

ReferencesExternal linksCounty websiteCounty and township map of OhioDetailed Logan County mapTownships in Logan County, OhioTownships in Ohio1841 establishments in OhioPopulated places established in 1841 Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions.

is isomorphic to the group of quaternions of norm 1, and is thus diffeomorphic to the 3-sphere.

map homomorphism from SU(2) × SU(2) to SO(4) given by quaternion multiplication; see quaternions and spatial rotation.

Hamilton invented quaternions, a mathematical entity in 1843.

Actually this simple use of quaternions was first presented by Euler some seventy years earlier than Hamilton to solve the problem of magic squares.

Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three.

gives an elementary introduction to quaternions to elucidate the Hopf fibration as a mapping on unit quaternions.

I regard it as an inelegance, or imperfection, in quaternions, or rather in the state to which it has.

Other widely used methods include rotation quaternions, Euler angles, or rotation matrices.

In mathematics, quaternions are a non-commutative number system that extends the complex numbers.

"Fundamental representations and algebraic properties of biquaternions or complexified quaternions", Advances in Applied Clifford Algebras, 21 (3): 1–30, arXiv:1001.

Synonyms:

3, triplet, terzetto, trinity, trio, III, tierce, tercet, trine, deuce-ace, digit, ternary, leash, triad, trey, troika, three, threesome, figure,

Antonyms:

ordinal, single, untie, integrate, differentiate,