For example, it is well known within the context of PDEs that fluctuations can enlarge the parameter regime over which time-periodic (limit cycles) or spatially periodic (Turing patterns) can occur.
The probability of finding a random substring that is identical to one of the terminal fragments increases as we enlarge the parameter Max _ D_ Size(Fig. 4a g).
His shortsightedness is interesting, but it shouldn't obscure the bigger truth, that by enlarging the parameters of what was presented in his galleries he helped broaden American minds.
In particular, we show how noise enlarges the parameter regime over which patterns occur, in an analogous fashion to PDEs.
In detail, the fractional-order derivative enlarges the parameter region of the stability in comparison with its corresponding first-order system.
The joint use of group kinship and individual grouping enlarged the parameter space for the CMLM.
Additionally, an increase in H+ ions, principally responsible for altering the solution's pH and protonation of amine-based surfactants, will enlarge the "a" parameter by increasing the ionic repulsion among molecules, leading to a decrease in "P".
Moreover, we enlarge the value range of parameters λ of the generalized ZK-Burgers equation so that the parameter λ can be an arbitrary constant ((lambdane-1,-2,-4)). ({{u}_{j}} ( x,t ) ) ((j=1,ldots,6 )) are exact traveling wave solutions of the generalized ZK-Burgers equation.
The method allows, in its execution mode, the flexibility to modify, adjust and enlarge the input set of parameters.
More recently however, there have been attempts to enlarge the definition to include parameters of "decent life", rather than mere survival, such as the capacity to support families, maintain self-respect and be free to participate in the civic life of the country concerned (Glickman 1999; Brenner 2002).
