Under selection on lactose medium for the increased production of beta-galactosidase from the weakly-function lac gene, the amplification might allow extensive DNA replication.
The following theorem shows the relationship between interval-valued invex functions and weakly invex functions.
If a particular sort of function is dispensable (what Lawrence and Roth [ 78] called a weakly selected function), and if the function can be performed by many different genes (and maybe even many different families of genes), there will be competition among such genes.
Since the definition of interval-valued invex functions defined in [20] considered the end-point functions, we call them weakly invex functions in this paper.
Functioning correlated weakly with symptoms (with cognitive and affective symptom clusters: r range,.09 .19; P<.001).
In this paper, we first introduce the concepts of weakly transmitted functions and -strongly transmitted functions.
It is routine to verify that the function f is a weakly contractive function, i.e., that p max | [ 0, 1 ] ( f ( x ), f ( y ) ) ≤ α ¯ ( x, y ) p max | [ 0, 1 ] ( x, y ). for all x, y ∈ [ 0, 1 ].
We begin with a common fixed point theorem for two pairs of partially weakly increasing functions on an ordered modular function spaces.
However, the function f is not a weakly contractive function with respect to the metric p max | [ 0, 1 ] s (i.e., that f is not weakly contractive with respect to the metric p max | [ 0, 1 ] s for any choice of a function α ¯ satisfying all the requirements in Definition 7).
We denote by L w 1 the space of all weakly integrable functions with respect to ν, where functions which are equal ν-a.e. are identified, which is a Banach space when endowed with the norm ∥ ⋅ ∥ ν.
