linearly

Thân thiện

The graph shows that the data increased linearly over time.

Definition

1. Adverb:
   • In a linear manner: In a way that is arranged in or relates to a straight line, or progresses in a sequential, step-by-step fashion with a direct relationship between cause and effect.

Usage

• The adverb "linearly" describes an action or process that occurs in a line or in a direct, proportional sequence. It is often used in mathematical, scientific, and general contexts to describe relationships, growth, or arrangement that is not curved, branched, or exponential.

Examples

• General/Scientific Context:
  • The data points increased linearly over time. (The values rose in a straight-line, proportional relationship as time passed.)
  • Light can be linearly polarized. (Light waves can be oriented to vibrate in a single plane.)
• Mathematical Context:
  • The function grows linearly, not exponentially. (The function's output increases by a constant amount for each unit increase in input.)
• Figurative/Process Context:
  • He argued that history does not progress linearly. (He claimed that historical development does not follow a simple, straight path of cause and effect.)

Advanced Usage

• "To think linearly": To think in a straightforward, sequential manner, focusing on direct cause-and-effect relationships rather than systemic or lateral connections.
  • The engineer's linearly structured approach was perfect for solving the technical problem.

Variants and Related Words

• Linear (adj): Arranged in or extending along a straight or nearly straight line; involving a single dimension.
  • A linear equation.
• Linearity (n): The quality or state of being linear.
  • The linearity of the relationship was confirmed by the graph.

Synonyms

• Proportionally: In a way that corresponds in size or amount to something else.
• Sequentially: In a way that follows a logical order or sequence.
• Directly: In a straight line or manner; without anything intervening.

Antonyms

• Exponentially: At a rate that becomes more and more rapid.
• Laterally: Toward the side; involving sideways movement or thinking.
• Nonlinearly: In a manner that does not form a straight line or involve a direct progression.

Học thuật

Adverb

1. in a linear manner
   • linearly polarized radiation
   • it grew linearly