symmetrization

Creating mirror equivalence

Symmetrization is the process of making something symmetric or balanced.

In mathematics, it refers to operations that transform an object or expression into a symmetric form—averaging a function with its reflection, for instance, or converting a matrix so it equals its transpose.

The term appears in physics and statistics with similar meaning: imposing or restoring symmetry where it was absent.

process

equalization

Making things uniform

regularization · rectification · equilibration · homogenization · standardization · adjustment · calibration · alignment · optimization · transformation

uniformity

standardization

Implementing uniform technical specifications

evenness · conformity · sameness · equivalence · invariance · leveling · orderliness · similarity · homogeneity · replication

balance

equilibrium

State of balance

stabilization · centering · leveling · parity · proportion · distribution · adjustment · calibration · homeostasis · steadiness

Opposites
mathematical/structural transformation direction

symmetrizationalternation

Sequential interchange of elements

skewing · differentiation

preservation vs. elimination of asymmetry

symmetrizationpolarization

Separation into opposing extremes

differentiation · imbalancing · biasing

mathematical/structural transformation

symmetrizationskewing

Causing asymmetrical distortion

diagonalization · decomposition

Family

symmetry, asymmetrical, symmetrical, symmetric, asymmetry, asymmetric, symmetrically, asymmetrically, symmetrize

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