nonlinear

Thân thiện

The graph shows a nonlinear curve on the coordinate plane.

Definition

1. Adjective:
   • Not linear; not arranged in a straight line or following a sequential, proportional progression: Describes a relationship, process, or system where change in one variable does not produce a constant or proportional change in another. It often involves curves, loops, or sudden shifts.
   • In mathematics, involving terms that are not of the first degree: Pertaining to an equation containing variables raised to a power other than one, or involving products of variables.

Usage Examples

• Adjective:
  • The artist created a nonlinear sculpture with twisting metal forms. (The artwork did not follow a straight line.)
  • The film's plot was nonlinear, jumping between different time periods. (The narrative was not in chronological order.)
  • Studying nonlinear dynamics helps us understand chaotic systems like the weather. (It involves complex, unpredictable relationships.)

Advanced Usage

• "nonlinear system": A system where the output is not directly proportional to the input, often exhibiting complex behavior like chaos or feedback loops.
  • Engineers must account for the effects of a nonlinear system in their control designs.
• "nonlinear narrative": A storytelling technique where events are portrayed out of chronological order.
  • The novel uses a nonlinear narrative to reflect the protagonist's fragmented memories.

Variants and Related Words

• Nonlinearity (n): The state or quality of being nonlinear.
  • The nonlinearity of the data made it difficult to model with a simple equation.
• Linearly (adv): In a linear manner. (This is the antonymic adverb form).
• Linear (adj): Arranged in or extending along a straight line; sequential and proportional. (This is the direct antonym).

Synonyms

• Curvilinear: Consisting of or bounded by curved lines.
• Complex: Consisting of many interconnected parts; not simple or straightforward.
• Disproportional: Not in proportion.

Antonyms

• Linear: Arranged in or extending along a straight line; involving a sequential, proportional relationship.
• Sequential: Forming or following a logical order or sequence.
• Proportional: Corresponding in size or amount to something else.

Học thuật

Adjective

1. designating or involving an equation whose terms are not of the first degree