multiplier

/'mʌltiplaiə/

Thân thiện

Definition

1. Noun:
   • A number by which another number (the multiplicand) is multiplied: In arithmetic, a multiplier is the factor that indicates how many times the multiplicand is to be added to itself.
   • A device or mechanism that increases or amplifies something: In fields like economics or electronics, a multiplier is a factor, device, or principle that causes a proportional increase in an effect or quantity.

Examples of Usage

• Noun:
  • In the equation 5 × 3 = 15, the number 5 is the multiplier.
  • The government hopes the tax cut will act as an economic multiplier, stimulating further investment and job creation.
  • This circuit uses a frequency multiplier to generate a higher output signal.

Advanced Usage

• "Multiplier effect": An economic concept where an initial injection of spending leads to a larger overall increase in national income.

  • The construction of the new airport had a significant multiplier effect on the local economy.

• "Lagrange multiplier": A mathematical strategy used in optimization problems with constraints.

  • The method of Lagrange multipliers is essential for solving constrained optimization in calculus.

Variants and Related Words

• Multiply (verb): To increase in number or to perform the mathematical operation of multiplication.

  • Cells multiply rapidly during growth.

• Multiplication (noun): The mathematical operation or process of multiplying.

  • Children learn multiplication tables in elementary school.

• Multiplicand (noun): The number that is to be multiplied by the multiplier.

  • In 7 × 4, the number 7 is the multiplicand.

Synonyms

• Amplifier: A device that increases the strength of a signal (specific to electronics/engineering contexts).
• Coefficient: A numerical or constant factor in an algebraic term (a related mathematical concept).

Related Phrases

• "Force multiplier": A factor or system that dramatically increases the effectiveness or impact of a group or capability, often used in military or strategic contexts.

  • Advanced technology serves as a force multiplier for the modern army.

• "Earnings multiplier": A financial ratio used in valuation, such as the price-to-earnings (P/E) ratio.

  • Analysts use the earnings multiplier to assess whether a stock is overvalued.

Học thuật

Noun

1. the number by which a multiplicand is multiplied

Từ đồng nghĩa

• multiplier factor