: characterized by, being, or producing effects (such as drug responses or gene products) that when the causative factors act together are the sum of their individual effects. Examples are …

In mathematics, an additive set function is a function mapping sets to numbers, with the property that its value on a union of two disjoint sets equals the sum of its values on these sets, namely, If this additivity property holds for any two sets, then it also holds for any finite number of sets, namely, the function value on the union of k dis...

Additivity is essential when calculating the probability of multiple mutually exclusive events occurring, allowing for straightforward summation of their probabilities. The formula for additivity can be expressed as: if A and B are mutually exclusive events, then P (A ∪ B) = P (A) + P (B).

2025年1月3日 · The principle of addition of probabilities is that, if A1, A2,…, An are events with Ai ∩ Aj = Ø for all pairs i ≠ j, then.

In algebra, an additive map, -linear map or additive function is a function that preserves the addition operation: [1] (+) = + for every pair of elements and in the domain of . For example, any linear map is additive. When the domain is the real numbers, this is Cauchy's functional equation.For a specific case of this definition, see additive polynomial. ...

A substance added in small amounts to something else to improve, strengthen, or otherwise alter it. 1. Marked by, produced by, or involving addition. 2. Of or being any of certain primary colors of wavelengths that may be mixed with one another to produce …

Additivity implies \[(\forall i, k) \quad s X_{i}=\sum_{k=1}^{n} s\left(X_{i} \cap Y_{k}\right) \text { and } s Y_{k}=\sum_{i=1}^{m} s\left(X_{i} \cap Y_{k}\right).\] (Verify!) Hence \[\sum_{i=1}^{m} s X_{i}=\sum_{i, k} s\left(X_{i} \cap Y_{k}\right)=\sum_{k=1}^{n} s Y_{k}.\]

Additivity is one of the core axioms of probability, alongside non-negativity and normalization, and forms the basis for further concepts in probability theory. Understanding additivity is essential for solving complex problems involving multiple events and their associated probabilities.

Additivity allows the Poisson distribution to model the number of events occurring in a fixed interval of time or space, where the events occur independently and at a constant average rate.

ADDITIVITY definition: the state of being additive | Meaning, pronunciation, translations and examples