Sentence examples for linear spacing between from inspiring English sources

We also introduced a new physical parameter 'a' governing the collective uptake process, a reflecting minimal linear spacing between simultaneously acting neighboring endocytotic pits.

Such large spaces between sites suggest that three-dimensional, domain level proximity, rather than simply linear spacing plays an important role in the processivity of Cdk2.

Let be a mapping between linear spaces.

Theorem 2.2 A mapping f : X → Y with f ( 0 ) = 0 between linear spaces satisfies the functional equation (2) if and only if f is quadratic.

The Jensen equation is 2 f x + y 2 = f ( x ) + f ( y ), where f is a mapping between linear spaces.

A mapping f : X → Y between linear spaces satisfies the functional equation (4) with |k| > 1 if and only if f is quadratic.

A mapping f : X → Y between linear spaces satisfies the functional equation f ( 2 x + y ) + f ( 2 x - y ) = 4 [ f ( x + y ) + f ( x - y ) ] + 2 [ f ( 2 x ) - 4 f ( x ) ] - 6 f ( y ).

Stability of the Jensen functional equation, 2 f x + y 2 = f ( x ) + f ( y ), where f is a mapping between linear spaces, has been investigated by several mathematicians (see [6, 7]).

It is easy to see that a mapping f : X → Y between linear spaces with f(0) = 0 satisfies the Jensen equation if and only if it is additive [26].

Lemma 2.1 A mapping f : X → Y between linear spaces satisfies the functional equation f ( k x + y ) + f ( k x − y ) = k f ( x + y ) + k f ( x − y ) + 2 ( k − 1 ) [ k f ( x ) − f ( y ) ]. for any fixed rational number k with k ≠ 0, 1 if and only if f is quadratic.

In the case where F acts between linear spaces X and Y, stability and convergence have been shown under a list of reasonable properties (see Assumption 4.1).