Sentence examples for dependence on the second from inspiring English sources
If one examines the dynamics of the mean fields in such systems, one typically finds that they include a dependence on the second moments.
As we said in the Introduction, we begin by considering a particular case of problem (1.1) where dependence on the second variable is dropped, that is, left { textstylebegin{array}l} mathscr {L}[u]"(x)=f x,mathscr {L}[u](x),mathscr {L}[u] tau(x))) quadmbox{for a.a. }x in I, u(x)=phi_{1}(x quad mbox{for all }x in I_,qquad u(x)=phi_{2}(x) quadmbox{for all }x in I_. end{array}displaystyle right.
For example, Tyr radicals in PSII show a dependence on the second H-bonding partner of histidine (His).
In the case of the high-temperature gaseous ammonia treatment followed by attritor milling, the increase in the monomeric sugar yield upon saccharification shows a negative linear dependence on the second or third power of the cellulose crystalline coherent domain size, implying that the surfaces as well as the ends of the cellulose fibrils are accessible to cellulolytic enzymes.
However, unlike the negative linear dependence of the monomeric sugar yields, following 72 h of saccharification, on the first power of the coherent domain size, observed in Fig. 3 for milling in the absence of ammonia pretreatment, the sugar yields now show a negative linear dependence on the second and third powers of the coherent domain size.
We observe that the dependence of the second gradient moduli on these two parameters is similar to the dependence of the classical moduli on the same parameters.
The squeeze of the cap on a group of players who'd been steadily earning pay rises with their performances left RSL short of serviceable depth and it showed in a dependence on the first 13 or 14 players.
The problem with this technique is its total dependence on the third party.
In this paper, we have discussed boundary value problems for second-order differential equations with deviating arguments and with dependence on the first-order derivative.
This paper is concerned with the two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order q-derivative.
A new fixed point theorem in a cone is applied to obtain the existence of positive solutions of some fourth-order beam equation boundary value problems with dependence on the first-order derivative where is continuous.
