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As a simple example, note dy/dx + Py = Q, in which P and Q can be constants or may be functions of the independent variable, x, but do not involve the dependent variable, y.

The ordinary differential equation (26) may then be solved to give begin{aligned} bar{c} (x, s) =& frac{c_{0}}{s} + A(s) exp biggl[frac{x}{2delta} bigl(nu+ sqrt{nu^{2} + 4sdelta} bigr) biggr] &+B(s) exp biggl[frac{x}{2delta} bigl(nu- sqrt{nu^{2} + 4s delta } bigr) biggr], end{aligned} where (A s)) and (B s)) are independent of x, but may be functions of the Laplace transform variable, s.

These results suggest that there may be functions compensating for miscoding when there is loss-of -function in one of the alleles but such compensatory mechanisms may not keep pace with the loss of both functions and thus result in an increased error rate observed with the double mutant.

Similarly, the coefficients may be functions of the parameters and/or of the control inputs.

Therefore the upregulation of Aggrecan and COL2A1 mRNA may be functions of PPARγ which are independent of mTOR.

We find that classical measures of potency such as the IC50 may be functions of viral life-cycle kinetics.

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Similar(51)

Thus, while inequality abating policies may be functioning well, it may not be showing due to the rich becoming rich faster than the poor.

We also may be functioning in one and not in another.

All of this provides a background suggesting that consumer behavior and brand loyalty may be functioning psychologically in a manner similar to religion.

This suggests that alternative mechanisms for presenting mycobacterial antigens may be functioning in vivo.

The binding of the C/H3 to p53 may be functioning as a dominant negative factor.

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