The phrase "absolute convergence" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in relation to series and sequences, to describe a situation where a series converges regardless of the order of its terms.
Example: "The series converges absolutely, which means that the sum of the absolute values of its terms also converges."
Alternatives: "unconditional convergence" or "strong convergence".
The temperature variables at of all nodes converge on the solution where the absolute convergence is less than 10−6.
Convergence and absolute convergence of series.
However, the results suggest that the bigger the event the smaller is the difference, i.e. there is absolute convergence for the two different tree scenarios at higher discharges.
This "complex-plane" MWA, effected via a linear-path detour in the complex plane, results in rapid, absolute convergence of field and potential solutions in multi-layered environments regardless of the source-observer geometry and anisotropy/loss of the media present.
The abscissas of convergence, uniform convergence and absolute convergence of vector valued Dirichlet series with respect to the original topology and with respect to the weak topology σ X,X′) of a locally convex space X, in particular of a Banach space X, are compared.
There exist many tests for the absolute convergence of series.
To determine whether we are in the presence of absolute beta convergence towards a common steady state or conditional beta convergence towards country-specific steady states, we need to test for the presence of sigma convergence, calculated as the coefficient of variation of social expenditure growth.
There would be absolute beta convergence, if economies have diminishing returns in the expansion of social expenditure and, therefore, a downward trend in the coefficient of variation.
As a consequence, differences across Latin American countries reduced rapidly, thereby possibly resulting in an absolute beta convergence toward a common social expenditure steady state.
Behind this idea lies the assumption of an absolute beta convergence to a common upper level of social expenditure, thereby confirming the saturation effect.2. Püss et al. (2005) find the presence of statistically significant beta convergence for total and per capita social expenditure at purchasing power parity (PPP) as a share of GDP for EU countries over the period 1993 2000.
Consequently, the absolute uniform convergence of the series in (5.3) on I implies that ϕ k ( t ) converges uniformly to some function ϕ ( t ) on I. Our objective now is to show that ϕ ( t ) is a solution of (4.1) for all t ∈ I. From the Lipschitz condition ∥ f ( t, ϕ ( t ) ) − f ( t, ϕ m ( t ) ) ∥ ≤ A ∥ ϕ ( t ) − ϕ m ( t ) ∥. for all t ∈ [ θ, θ + a ].
