bounded

Thân thiện

The children played within the bounded area of the park.

Definition

1. Adjective:
   • Having defined limits or boundaries; confined within a specific area or set of points. This describes something that is finite and does not extend infinitely. It is a formal term often used in mathematics, geography, and general descriptions to indicate restriction or definition.

Usage

The word "bounded" is primarily used as an adjective. It describes a noun by stating that the noun has clear, established limits. - It is often used in technical or formal contexts (e.g., mathematics, science, formal writing). - It can describe physical spaces, abstract concepts, or sets of values. - It is frequently followed by the preposition "by" to specify what constitutes the boundary (e.g., "bounded by rivers").

Examples

• Adjective:
  • The national park is bounded by mountains to the north and a river to the south.
  • In mathematics, a bounded function is one whose values are confined within a fixed range.
  • Her ambitions were not bounded by the traditional expectations of her community.

Advanced Usage

• "Bounded rationality": A concept in economics and decision theory where individuals make decisions within the constraints of limited information, time, and cognitive capacity.

  • The model accounts for bounded rationality, assuming managers cannot process all available information.

• "Bounded set": In mathematics, a set of numbers that has both an upper and a lower limit.

  • The interval [0, 10] is a classic example of a bounded set.

Variants and Related Words

• Bound (verb, noun, adjective): The base form. As a verb: to limit or to leap. As a noun: a boundary or a leap. As an adjective: certain or obligated (e.g., "He is bound to succeed").
• Boundary (noun): A real or imaginary line that marks the limits of an area.
• Unbounded (adjective): Having no limits or boundaries; infinite.

Synonyms

• Limited: Restricted within certain bounds.
• Confined: Kept within limits; enclosed.
• Circumscribed: Restricted or limited, often within a narrow scope.
• Finite: Having limits or bounds.

Antonyms

• Unbounded: Having no limits.
• Infinite: Limitless or endless in space, extent, or size.
• Boundless: Without limits.
• Unlimited: Not restricted or confined.

Học thuật

Adjective

1. having the limits or boundaries established
   • a delimited frontier through the disputed region

Từ đồng nghĩa

• delimited