summability

1 9.8

A property that shows if a long list of numbers or a function can be added to give a number

noun
/ˌsʌməˈbɪlɪti/

Specialized

: sumabilidad

In mathematics, summability is crucial for determining whether an infinite series converges to a finite value.
summability and homogeneity
summability and symmetry

Examples

Homogeneity, summability, and symmetry conditions are imposed in a straightforward manner on the budget-constrained demand.

Academic text (1992)
To be more consistent with consumer behavior, the constraints of homogeneity, summability, symmetry, and negativity are considered in the budget-constrained demand function.

Academic text (1992)
The demand functions of a flexible double-logarithmic form, after we impose homogeneity, summability, and symmetry conditions, are the following: 7

Academic text (1992)
The concept of summability helps mathematicians decide if they can add up the terms of a function effectively.
Understanding summability is important for analyzing the behavior of certain functions in calculus.

Surface Forms

summability singular

summabilities plural

Morphology

summability = summable (transparent) = sum + able + ity

Formed by adding '-ity' to 'summable' (sum + -able), yielding the noun meaning 'the quality or state of being summable'.

Etymology

Summability comes from the everyday word sum meaning 'total', plus -able ('can be') and -ity (a noun ending). So, summability is the quality of something that 'can be summed', which explains why it means whether a series or function can be added up to make a total.