Additive vs Multiplicative - What's the difference?

In mathematics of a function, etc. terms the difference between additive and multiplicative

is that additive is distributive over addition while multiplicative is distributive over multiplication.

In algebra terms the difference between additive and multiplicative

is that additive is having addition as an operator while multiplicative is having multiplication as an operator.

In grammar terms the difference between additive and multiplicative

is that additive is a word or phrase that adds something, such as also, even, or nor while multiplicative is a grammatical adverbial case in Finnish.

As adjectives the difference between additive and multiplicative

is that additive is pertaining to addition; that can be, or has been, added while multiplicative is of or pertaining to multiplication.

As nouns the difference between additive and multiplicative

is that additive is a substance added to another substance or product for its ability to alter its properties while multiplicative is a grammatical adverbial case in Finnish.

additive

English

Adjective

(en adjective)

(mathematics) Pertaining to addition; that can be, or has been, added.

over addition.

Matrix multiplication is additive in that $M\vec v+M\vec w=M(\vec v+\vec w)$ .

(algebra) Having addition as an operator.

It is natural to look at a finite cyclic group as an additive group.

(chemistry) Pertaining to chemical addition.

(genetics) Describing genes (or the interaction etc. of such genes) which govern the same trait and whose effects work together on the phenotype.

Antonyms

* subtractive

Derived terms

* additive function * additive inverse * additive identity * additive group * additive color

Noun

(en noun)

A substance added to another substance or product for its ability to alter its properties.

Oil may be used as an additive in gasoline to improve the lubrication of a small engine.

(grammar) A word or phrase that adds something, such as also'', ''even'', or ''nor .

External links

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multiplicative

English

Adjective

(-)

Of or pertaining to multiplication.

over multiplication.

Matrix determinants are multiplicative ; if $A$ and $B$ are square matrices of the same size, then $\mbox{det} (A B) = \mbox{det} (A) \, \mbox{det} (B)$ .

(algebra) Having multiplication as an operator.

Noun

(grammar) A grammatical adverbial case in Finnish.

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