quaternion
Rotation math tool
A quaternion is a mathematical object extending complex numbers into four dimensions, consisting of one real part and three imaginary components.
Quaternions are used in computing and physics to represent rotations and orientations in three-dimensional space, avoiding certain problems that arise with other methods.
The term also appears in archaic or literary contexts meaning a set of four things.
First Treasury secretary
- associativeConnecting by relationship
- realTruly existing, not fake
- imaginaryExisting only in thought
- scalarQuantity with magnitude only
vector · basis · unit · identity · inverse · conjugate · norm · multiplication
Number after three
Position relative to surroundings
- axisRotation reference line
- angleGeometric measure of rotation
- spinRapid rotation around axis
- yawRotational side deviation
pitch · roll · interpolation · attitude · pose · transform · kinematics · aerospace
Collection of people meeting
- quireTwenty-four sheets
- signatureHandwritten name for verification
- sectionDistinct divided part
- folioSingle-fold page format
leaf · sheet · fold · codex · fascicle · collation · sewing · binding
Rapid rotation around axis
- wavefunctionQuantum state's mathematical representation
- DiracTheoretical physicist, antimatter predictor
- relativityHow observers differ
- spacetimeMerged dimensional framework
Hamilton
First Treasury secretary
- associativeConnecting by relationship
- realTruly existing, not fake
- imaginaryExisting only in thought
scalar · vector · basis · unit · identity · inverse · conjugate · norm · multiplication · addition
four
Number after three
group · set · collection
orientation
Position relative to surroundings
yaw · pitch · roll · interpolation · attitude · pose · transform · kinematics · aerospace · animation
gathering
Collection of people meeting
folio · leaf · sheet · fold · codex · fascicle · collation · sewing · binding · octavo
spin
Rapid rotation around axis
- wavefunctionQuantum state's mathematical representation
- DiracTheoretical physicist, antimatter predictor
- relativityHow observers differ
spacetime · electromagnetism · inertia · torque · dynamics
quaternionscalar
Quantity with magnitude only
real number · complex number · integer · rational number · natural number