orthogonality

Vectors at ninety

Orthogonality is the quality of being perpendicular or independent.

In geometry, orthogonal lines meet at right angles.

The concept extends to mathematics and computing, where orthogonal elements don't affect each other—changing one variable or component has no effect on others.

In programming, orthogonal design means features can be combined freely without unexpected interactions: The language's orthogonality makes it easy to learn.

mathematics

vector

Quantity with direction

projection · matrix · eigenvector · coordinate · subspace · transformation · Cartesian · Gram-Schmidt · orthonormal · normalization

unrelated

uncorrelated

Lacking statistical relationship

disconnected · separate · distinct · unconnected · tangential · irrelevant · extraneous · decoupled · isolated

perpendicular

right angle

Exactly ninety degrees

vertical · horizontal · axis · plane · tangent · geometry · coordinate · transversal · bisect · rectilinear

design

modularity

Divisibility into independent units

loose coupling · independence · non-interference · compartmentalization · reusability · maintainability · flexibility

independence

decoupling

Removal of interdependence

non-interference · distinctness · compartmentalization · self-contained · autonomy · partitioning · encapsulation · loose coupling · factorization · decomposition

Opposites
geometric relationship

orthogonalityparallelism

Matching structural elements

collinearity · parallel · alignment · coincidence · same direction

statistical/mathematical independence

orthogonalitydependence

State of needing another

correlation · collinearity · interdependence · covariance · colinearity

conceptual/design separation

orthogonalitycoupling

Joint between systems

interdependence · entanglement · dependency · side effects · interconnection

Family

orthodoxy, orthography, orthodontist, orthogonal, orthopedics, orthogonally

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