sinusoidally

Thân thiện

The voltage varies sinusoidally over time.

Definition

Adverb: In a manner that follows or resembles a sine wave; varying in a smooth, periodic, wave-like pattern characterized by the mathematical function of a sinusoid.

Usage

The adverb "sinusoidally" describes an action or process that changes or oscillates with the specific, regular pattern of a sine wave. It is primarily used in technical and scientific contexts.

Examples

• The current in an AC circuit alternates sinusoidally with time.
• The pendulum's displacement from the center decreased sinusoidally as it came to a stop.
• The data showed that the temperature varied sinusoidally over the course of the 24-hour period.

Advanced Usage

• Mathematical/Physical Description: Used to precisely describe a quantity whose value is a function of the sine of another variable (e.g., time, angle).
  • The voltage across the resistor varies sinusoidally, reaching a peak positive value, then a peak negative value.
• Figurative Use: Can be used metaphorically to describe any smoothly alternating pattern, though this is less common.
  • His mood seemed to swing sinusoidally between extreme optimism and deep pessimism.

Variants and Related Words

• Sinusoidal (Adjective): Having the form or characteristics of a sine wave.
  • The oscillator produces a pure sinusoidal signal.
• Sinusoid (Noun): A curve having the form of a sine wave; the graph of the sine function.
  • The data points traced out a perfect sinusoid on the graph.

Synonyms

• Periodically: Recurring at regular intervals.
• Rhythmically: With a regular, repeated pattern of movement or sound.
• Oscillating: Moving or swinging back and forth at a regular rate.

Antonyms

• Linearly: In a straight-line or proportional manner.
• Randomly: Without a definite pattern or rule.
• Erratically: In an unpredictable or irregular way.

Học thuật

Adverb

1. in a sinusoidal manner