The phrase "after a first order" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or processes that involve sequential steps or levels of order.
Example: "The results were analyzed after a first order of operations was applied to the data set."
Alternatives: "following a primary order" or "subsequent to a first order".
After being transformed to a first order in time system on a Banach space X, a general equation with constant delay can be written as dot{u}(t) = Hbigl t, u(t), u_{t}bigr) quad text{for } t > 0, qquad u(0) = u^{0},qquad u_{0} = varphi.
Simulations also indicated that the rate at which the catalyst bed becomes more uniform from one pulse to the next is sensitive to reaction order: the desired uniformity is established for a second order adsorption after smaller amount of pulses than for a first order adsorption.
We calculated decay rates of Pol II after Trp treatment using a first order exponential decay model, and found high confidence decay rates for 3181 genes (standard deviation <0.5 times the decay rate).
We use a first order model obtained after a suitable change of variables.
It was removed after the family complained, although a second order was put in place after talks with the family.
The method can also apply to general nonlinear limit-state functions after they are approximated by a second order Taylor expansion.
"After practice, he would return for a second order".
Figure 5 shows a model of Smo reaction with a small molecule agonist in a second order reaction after transport facilitated by Ptc1.
After a first-order correction of the energy in the main high-frequency microseism range, the noise reaches a maximum of about 10 −1 n ε on HGSB signal whereas CHMB exhibits a noise level smaller by 1 order of magnitude (see Table 2 for details).
To correctly complete this mathematical analysis, additional verifications are inevitable - after a second-order condition test, we define intervals of feasible outputs because we exclude intervals of outputs for which cost functions do not have an economic interpretation.
Here, we use uv t) directly as x i, or after passing through a second-order one-way low-pass Butterworth filter of 3 Hz in this analysis.
