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"evolving through time" is correct and usable in written English.
You can use it to describe a process in which changes occur gradually over a long period of time. For example: "The human race has been evolving through time since the dawn of history."
Exact(6)
Horse comes from successive issues of the same racehorse catalogue over the past 30 years, and effectively shows the ideal horse evolving through time, jittery and tense on its exquisite legs.
Over the years, this conception would be substantially enriched, e.g., by Geiger's idea of "dynamic essences" (cf. Geiger 1924), evolving through time and being characteristically instantiated in artworks (e.g., in essences like the tragic).
Finally, mechanists have found it necessary to distinguish between stable mechanisms, which rely fundamentally upon the more or less fixed arrangement of parts and activities, and ephemeral mechanisms, which involve a process evolving through time without fixed spatial and temporal arrangement (Glennan 2009).
The other thing I learned is that everyone has a different story of survival, and his or her own way of coping (or not) with a confusing array of feelings and emotions evolving through time: incredulity, closeness with strangers, sadness, rage, resignation, hope and, sometimes, indifference.
The stochastic process, by nature, involves non-deterministic trials evolving through time and abiding by miscellaneous characteristics with probability distributions.
Pappas et al make the observation that the cumulative results of their review indicate that seroprevalence rates are evolving through time in a varying manner: a general trend towards lower rates is observed in the Western world, but concern should be raised by the potential effect of the increasing influx of immigrants from developing T. gondii endemic countries into the industrialised world.
Similar(53)
The Game of Life is a two dimensional universe in which patterns evolve through time.
Dr. Meyerowitz shows how mutable the words "male," "female," "sex" and "gender" have become, and how their meanings have evolved through time.
However, not all behaviours can be eradicated, so it's helpful to have an understanding of the ways cats have evolved through time.
In short, Darwin's theory of natural selection states that complex organisms evolved through time because of replication, mutation, and replication of mutations.
Kierkegaard's own time was characterised by an accelerated expansion of knowledge – particularly of historical knowledge, including the history of the bible and of Christian doctrine, which came more and more to be viewed as human phenomena that, despite claims to articulate eternal truths, evolved through time just like other ideas, customs and institutions.
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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