Definition

1. Verb:
   • To make symmetric: The primary meaning of 'symmetrise' is to cause something to become symmetrical or to have symmetry. It involves arranging or altering parts so that they correspond in size, shape, and relative position on opposite sides of a dividing line or around a central point.

Usage and Examples

• Verb:
  • The designer had to symmetrise the layout of the garden. (The designer had to make the garden layout symmetrical.)
  • A mathematical operation can be used to symmetrise the data set. (A mathematical operation can be used to make the data set symmetric.)
  • The goal is to symmetrise the two sides of the equation. (The goal is to make the two sides of the equation symmetrical.)

Advanced Usage

• "to symmetrise a matrix": In mathematics and physics, this is a common technical usage. It refers to transforming a matrix into a symmetric one, where the element at row , column equals the element at row , column .
  • The algorithm is designed to symmetrise the covariance matrix.
• "to symmetrise a function": In mathematical analysis, this can mean constructing a new symmetric function from a given one.
  • We can symmetrise the wave function for the system of identical particles.

Variants and Related Words

• Symmetrize (verb): This is the primary alternative spelling, especially in American English. It has the same meaning as 'symmetrise'.
  • The software can symmetrize the 3D model.
• Symmetrisation/Symmetrization (noun): The process or result of making something symmetric.
  • The symmetrisation of the pattern improved its aesthetic appeal.
• Symmetric (adjective): Having symmetry; being made up of exactly similar parts facing each other or around an axis.
  • The final design was perfectly symmetric.

Synonyms

• Balance: To arrange or adjust parts so that they are in a state of equilibrium.
• Equalize: To make uniform or equal, often in a more general sense than just spatial arrangement.

Antonyms

• Asymmetrise/Asymmetrize (verb): To make or become asymmetric.
• Distort: To pull or twist out of shape, often destroying symmetry.

Technical Notes

'Symmetrise' is a technical verb frequently used in scientific, mathematical, engineering, and design contexts. It implies a deliberate action to impose or create symmetry where it may not have existed before. The spelling 'symmetrise' is common in British English, while 'symmetrize' is standard in American English.

Verb

1. make symmetric
   • symmetrized waves