Sentence examples for continuity type from inspiring English sources

The continuity type condition imposed on (H_{i}) is weaker than the notion upper semi-continuity.

This permits us to obtain existence results with a weaker continuity type condition.

These results are based on the nonlinear term f that satisfies a "uniform continuity" type condition combined with Schauder's fixed point theorem.

An example is provided to explain our abstract results, where the condition of "uniform continuity" type is satisfied but the condition of "Lipschitz" type failed.

A function ω̃ of modulus of continuity type on the interval ([0,2pi]) satisfies the following condition: delta_{2}^{-1}widetilde{omega} ( delta _{2} ) leq2delta_{1}^{-1}widelta_{{omega} ( delta_{1} ) quadtextit{for } delta_{2}geqdelta _{1}>0.

Moreover, if a function ω̃ of the modulus of continuity type and a matrix A satisfy the following conditions: (14) with (rin mathbb{N} ) and (gammain ( frac{1}{p},frac{1}+betaeta ) ), (15) with (rin mathbb{N} ), (9) and (10), then the estimate (16) is also true.

The Ellenberg values and hemerophoby degrees of the indicator species in forest continuity types were compared.

The proof used, without mention, a nontrivial equivalence between two continuity types for completely positive semigroups.

The aim of the study was to find associations between biophysical factors (absolute elevation, geographical location), forests' historical land use (forest continuity types) and present floristic composition on the islands of Saaremaa and Muhu in western Estonia.

The continuity types studied were: macropore open at the soil surface open at the bottom of the column (O O), open closed (O C), closed open (C O), and closed closed (C C).

and continuity-type conditions (e.g., reciprocal, weak reciprocal, g-reciprocal, conditionally reciprocal, subsequential and sequential continuity of type ( A g ) and ( A f ) ) in the context of existence of common fixed points of a pair of maps.