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"For the initial time" is a correct and usable phrase in written English
It is typically used to describe something as happening for the first time. Here is an example sentence: For the initial time since our marriage, my husband and I had a meaningful conversation about our future.
Exact(17)
For the initial time (0 h), cells were embedded in agarose and irradiated in ice-cold PBS followed by an immediate lysis as described (Okayasu et al, 1998).
For the initial time period at least, still generally better overall than the short-acting methods of oral contraceptives and injectables.
The results of subjective preference test using the rank order method showed that the subjects preferred 24·25 ms for the initial time delay gap (ITDG) and the smallest value of the inter-aural cross-correlation (IACC).
Any equilibrium point also satisfies the following constraints from (5.1)–(5.4), and (1.3) after performing the replacements (for the initial time instant), for the final time instant, for any given, and taking limits as,,,,, and.
If this system is particularized for the initial time conditions, doing the following variable change, w 1= cos(s 5),w 2= sin(s 5), yields a linear system which can be solved using standard techniques (recall that (w_{1}^{2}+w_{2}^{2}=1)).
Green bars show number concentrations in a regional model simulation using the ALICIS module based on Iguchi et al. (2008); the concentrations are calculated at grid points near the site (averaged within an area of 126.0° E–126.4° E and 33.1° N–33.5° N at the model bottom level) for the initial time step of the simulation.
Similar(43)
The farmer's management strategy was simulated using a stochastic approach allowing for the generation of the initial time of each irrigation at each hydrant.
The influence of the meniscus on the determination of the initial time for diffusion is discussed for the first time.
Sensitivity of the probabilistic procedure for calculating the initial time of steady state evolution of temperature depending on variation of guess initial time.
Given any solution of system (1.3), we have (3.2). for all where is the initial time.
If we take more effective control measures for infectious diseases at the initial time of the diseases' spread, then the diseases go to extinction more quickly.
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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