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The phrase "a series of mutually" is correct and usable in written English.
It can be used when discussing concepts or elements that are interdependent or have a reciprocal relationship.
Example: "The project involves a series of mutually beneficial agreements between the two companies."
Alternatives: "a set of interrelated" or "a collection of reciprocal".
Exact(7)
A series of mutually advantageous meetings followed.
My own five-point plan to achieve this goal begins with a call for the NPT parties to pursue negotiations in good faith – as required by the treaty – on nuclear disarmament, either through a new convention or through a series of mutually reinforcing instruments backed by a credible system of verification.
The UWB's operating band is divided into band groups (BGs), each of which contains two or three subbands (SBs), and each SB consists of a series of mutually orthogonal subcarriers, which facilitates the design of dynamic spectrum access (DSA -based methoDSA -based
Both the random perturbations and the missing measurements are addressed in the system model, where the random perturbations are characterized by the multiplicative noises and the addressed phenomena of the missing measurements are modeled by a series of mutually independent Bernoulli random variables with individual occurrence probability.
There would be a plan to assess progress, based on a series of mutually acceptable milestones accomplished by Geron.
The prototypes acquired through clinical experience do not, then, derive simply from an averaging over time of a series of mutually independent sensory experiences.
Similar(51)
Our research points to a series of not mutually exclusive explanations for this under-achievement at both the demand and the supply side of health care delivery.
A series of not mutually exclusive strategies have been suggested, which differ mainly in the extent to which they do (or do not) involve causal information in addition to reliance on learned perceptual cues.
Independent component analysis (ICA) is a blind source separation method proposed in the 1990s, which can transform the observed mixed signals into a series of signals with mutually independent components in the statistical sense (Comon 1994).
The normal pressure or Winkler elastic foundation parameter is approximated as a series of closely spaced, mutually independent, vertical linear elastic springs where the foundation modulus is assumed equivalent to stiffness of the springs.
A series of field works, mutually supported by artillery, machine guns and rifles, extended from Gaza eastwards to within 4 mile of Beersheba.
More suggestions(15)
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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