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单词 modulus
释义

Definition of modulus in English:

modulus

nounPlural moduli ˈmɒdjʊləsˈmɑdʒələs
Mathematics
  • 1

    another term for absolute value
    1. 1.1 The positive square root of the sum of the squares of the real and imaginary parts of a complex number.
      Example sentencesExamples
      • The concept of the modulus of a complex number is also due to Argand but Cauchy, who used the term later, is usually credited as the originator this concept.
  • 2A constant factor or ratio.

    Example sentencesExamples
    • A cost from a cost function is calculated according to a constant modulus algorithm.
    • For example, in this case, it is easier to try to factor the modulus N than to perform an exhaustive key search on all possible decryption keys.
    • Such a material can be characterized by simple moduli (ratios of stress to strain): Young's modulus, E, and Poisson's ratio,.
    • Thus, they are characterized by two elastic constants, Young modulus E and Poisson ratio v.
    1. 2.1 A constant indicating the relation between a physical effect and the force producing it.
      the modulus of elasticity
      Example sentencesExamples
      • While heat treatment had little, if any effect of the modulus of elasticity of the composites, it did affect the transition into plastic flow.
      • The modulus of elasticity in shear, or modulus of rigidity, is about 16 GPa, while Poisson's ratio is 0.35.
      • It is interesting to note that a considerable group of important structural materials have nearly the same ratio of modulus of elasticity to density.
      • Flexible carbon fiber electrode with low modulus and high electrical conductivity, battery employing the carbon fiber electrode, and method of manufacture
      • The crosshatched regions in Fig.1 indicate the modulus of resilience for each steel.
  • 3A number used as a divisor for considering numbers in sets, numbers being considered congruent when giving the same remainder when divided by a particular modulus.

    Example sentencesExamples
    • This is known as using arithmetic modulo 26, and 26 is known as the modulus.
    • His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory.
    • Daemen and Rijmen picked x 8 + 1 as the modulus polynomial because it was simple-as simple as one could get.

Origin

Mid 16th century (denoting an architectural unit of length): from Latin, literally 'measure', diminutive of modus.

 
 

Definition of modulus in US English:

modulus

nounˈmäjələsˈmɑdʒələs
Mathematics
  • 1

    another term for absolute value
    1. 1.1 The positive square root of the sum of the squares of the real and imaginary parts of a complex number.
      Example sentencesExamples
      • The concept of the modulus of a complex number is also due to Argand but Cauchy, who used the term later, is usually credited as the originator this concept.
  • 2A constant factor or ratio.

    Example sentencesExamples
    • Thus, they are characterized by two elastic constants, Young modulus E and Poisson ratio v.
    • Such a material can be characterized by simple moduli (ratios of stress to strain): Young's modulus, E, and Poisson's ratio,.
    • For example, in this case, it is easier to try to factor the modulus N than to perform an exhaustive key search on all possible decryption keys.
    • A cost from a cost function is calculated according to a constant modulus algorithm.
    1. 2.1 A constant indicating the relation between a physical effect and the force producing it.
      the modulus of elasticity
      Example sentencesExamples
      • The crosshatched regions in Fig.1 indicate the modulus of resilience for each steel.
      • Flexible carbon fiber electrode with low modulus and high electrical conductivity, battery employing the carbon fiber electrode, and method of manufacture
      • It is interesting to note that a considerable group of important structural materials have nearly the same ratio of modulus of elasticity to density.
      • While heat treatment had little, if any effect of the modulus of elasticity of the composites, it did affect the transition into plastic flow.
      • The modulus of elasticity in shear, or modulus of rigidity, is about 16 GPa, while Poisson's ratio is 0.35.
  • 3A number used as a divisor for considering numbers in sets, numbers being considered congruent when giving the same remainder when divided by a particular modulus.

    Example sentencesExamples
    • Daemen and Rijmen picked x 8 + 1 as the modulus polynomial because it was simple-as simple as one could get.
    • His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory.
    • This is known as using arithmetic modulo 26, and 26 is known as the modulus.

Origin

Mid 16th century (denoting an architectural unit of length): from Latin, literally ‘measure’, diminutive of modus.

 
 
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更新时间:2024/12/24 2:45:26