a multiplicative constant factor vs an additive constant factor

Both phrases are correct, but they are used in different contexts. 'A multiplicative constant factor' is used when referring to a factor that multiplies another quantity, while 'an additive constant factor' is used when referring to a factor that is added to another quantity.

Last updated: March 21, 2024

a multiplicative constant factor

This phrase is correct and commonly used in mathematics and other technical contexts.

This phrase is used when referring to a factor that multiplies another quantity, often in mathematical equations or scientific explanations.

Show examples from the web [+]

In computational complexity theory, a speedup theorem is a theorem that considers some algorithm solving a problem and demonstrates the existence of a more ...
Jan 29, 2015 ... ... on the range of d. Also, for d=O(1), the on-line choice number is by at most a multiplicative constant factor larger than the chromatic number.
May 17, 2015 ... Also, for d = O(1), the on-line choice number is by at most a multiplicative constant factor larger than the chromatic number. 1. Introduction.
... depending on the range of d . Also, for d = O ( 1 ) , the on-line choice number is by at most a multiplicative constant factor larger than the chromatic number.

Alternatives:

a factor that multiplies another quantity

an additive constant factor

This phrase is correct and commonly used in mathematics and other technical contexts.

This phrase is used when referring to a factor that is added to another quantity, often in mathematical equations or scientific explanations.

Show examples from the web [+]

sequences, the cost associated with the algorithm is no more than times the cost associ-. ated with the optimal o -line algorithm, up to an additive constant factor.
increase the migration factor within an additive constant factor only as we prove in Lemma 10 below. At the end of K steps we declare the sets S1 and S1 as the ...
and therefore increase the migration factor within an additive constant factor only as we prove in Lemma 6 below. At the end of K steps we declare the sets.
sequences, the cost associated with the algorithm is no more than times the cost associ- ated with the optimal o -line algorithm, up to an additive constant factor.

Alternatives:

a factor that is added to another quantity

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a multiplicative constant factor vs an additive constant factor