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Discover LudwigThe phrase "at a first order" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to refer to the first level of approximation or analysis.
Example: "At a first order, we can assume that the system behaves linearly under small perturbations."
Alternatives: "at a primary level" or "in a first approximation".
Exact(4)
Cyanide was oxidized at a first order with respect to hydroxyl ion and at zero with respect to cyanide ion on the rate determining step.
For example, just to interpret this, focus on the interpretation of this as a filter, let's look at a first order difference equation, which we've talked about and generated the solution to previously.
We show that in networks with a finite mean number z2 of the second-nearest neighbours, the emergence of a k-core is a unique hybrid phase transition with a jump emergence of the k-core as at a first order phase transition but also with a critical singularity as at a continuous phase transition.
From these observations, at a first order, F-rich and F-poor TiChu are easily identified by their FTIR spectra in OH regions.
Similar(56)
One key reason is the fact that Pagerank does not take into consideration the out degree (or out weight) of the nodes, at least as a first order.
Hydrogen exchange proceeded as a first order process at a modest rate (k540 = 1.0 h−1 m−2) with an apparent activation energy of 67kJmol−1−1.
And so now let's take a look at the result of a first order hold applied to the original samples.
The results show that the reaction in scCO2 showed a first order kinetic at low concentrations with yields from 75% up to 86%.
Let's now look at a second order system and the differential equation that I picked in this case.
For both sets of material properties, the true solutions appear to possess sufficient smoothness for the method to converge at a second order rate for fully resolved computations.
The basis of RG is that exactly at a second order phase transition, a critical state, the equations describing the system are independent of scale and details become irrelevant.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com