non-additive

The total effect of the mixture is non-additive.

Definition

1. Adjective:
   • Not able to be added or combined in a simple additive manner: "non-additive" describes a property, quantity, or system where the whole is not equal to the sum of its parts. This often applies in mathematics, statistics, chemistry, or other sciences where interactions or dependencies prevent simple addition.
   • Lacking the property of additivity: In a formal sense, a function or operation is "non-additive" if it does not satisfy the condition that the result of combining two inputs equals the sum of the results for each input individually.

Usage Examples

• (The variables interact, so their combined effect is not a straightforward sum.)
• (The properties of the mixture are not predictable by adding the properties of the individual substances.)
• (Points are not combined by simple addition.)

Advanced Usage

• "non-additive genetic effects": In genetics, these refer to interactions between genes (epistasis) or between genes and the environment that cannot be predicted by simply adding the effects of individual genes.

  • The inheritance of height is influenced by non-additive genetic effects, making it difficult to predict from parents alone. (Gene interactions complicate the inheritance pattern.)

• "non-additive set function": In measure theory, a function defined on a collection of sets that does not satisfy additivity (i.e., the measure of a union of disjoint sets is not equal to the sum of their measures).

  • The risk measure is a non-additive set function, as the risk of combined events is less than the sum of individual risks. (The measure does not obey simple addition.)

Variants and Related Words

• Additive (adj): relating to or characterized by addition; capable of being added.

  • The additive property of numbers ensures that 2 + 3 equals 5. (Numbers can be combined by addition.)

• Additivity (n): the quality or state of being additive; the principle that the whole equals the sum of its parts.

  • The scientist tested the additivity of the drug's effects. (Whether the effects could be combined by simple addition.)

• Non-additivity (n): the condition or property of being non-additive.

  • The non-additivity of the dataset required a more complex statistical model. (The inability to sum parts directly.)

Synonyms

• Nonlinear: not following a straight line or simple proportional relationship; often used in contexts where additivity fails.

  • The system's nonlinear behavior means it is non-additive. (The response is not proportional to inputs.)

• Interactive: involving mutual or reciprocal action, where components affect each other, preventing simple addition.

  • The interactive effects of the drugs are non-additive. (The drugs influence each other's effects.)

• Noncumulative: not increasing by addition over time; not accumulating in a simple additive way.

  • The noncumulative nature of the data makes it non-additive. (Values do not sum up over time.)

Related Idioms

• There are no common idioms for "non-additive" as it is a technical term. However, in everyday language, one might say:
  • "The whole is greater than the sum of its parts" — This idiom expresses a non-additive property, where synergy creates more than simple addition.

    • Teamwork often shows that the whole is greater than the sum of its parts, a non-additive effect. (Collaboration produces extra value beyond individual contributions.)

Phrasal Verbs

• There are no phrasal verbs directly associated with "non-additive," as it is a technical adjective.