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"unbounded range" is a correct and usable phrase in written English.
You could use it to refer to a very large scope of something. For example, "The internet offers an unbounded range of possibilities for communication."
Exact(3)
In this paper, we present hierarchical bi-material lattices that are stiff and can be designed to attain a theoretically unbounded range of thermal expansion without (i) impact onto elastic moduli and (ii) severe penalty in specific stiffness.
Several new and surprising features were found such as the occurence of multiple solutions for two parallel endothermic reactions and the existence of steady state multiplicity over an unbounded range of Damköhler numbers.
To evaluate the extent to which a population evolves to such a barrier, stochastic computer simulations were performed on clonal populations in which the genome-wide deleterious mutation rate was subject to modification through an unbounded range of alternative states, with the mutation rates (U) of adjacent allelic classes differing by a constant factor, 1 + λ.
Similar(53)
For many studies (n = 11), the midpoint of the highest exposure category had to be estimated because an unbounded upper range was reported, and this point could be highly influential with regard to the KL slope.
Separation may lead to impredicativity in case the formula φ contains unbounded quantifiers ranging over the whole universe of sets; in fact, in defining the new set by separation we may thus refer to this very set, contradicting Russell's VCP.
Stupidity is so unbounded in its range and unsounded in its depths that it is inescapable.
The first uses a linear model based on the logit transformation to convert the bounded soil water response range to unbounded form.
Extending results in [L.A. Coburn, The measure algebra of the Heisenberg group, J. Funct. Anal. 161 (1999) 509 525; L.A. Coburn, On the Berezin Toeplitz calculus, Proc. Amer. Math. Soc. 129 (11 200101) 3331 3338] we derive composition formulas for Berezin Toeplitz operators with i.g. unbounded symbols in the range of certain integral transforms.
It was almost as if you could taste the contentment of an unbounded life on the open range.
The second line of research suggests that representations of abstract concepts, such as same and different that can range over an unbounded set of stimulus properties, are rooted in experienced examples coupled with analogical processes.
Assuming the availability of a Green's function, G r, r′, λ) for the operator ∇ 2 + k 0 2 as is the case for an unbounded medium as well as range of bounded problems [ 25], we rewrite Eq. (3) as (4) Φ s (r, λ ) = ∫ G (r, r ′, λ ) Φ (r ′, λ ) Δ k 2 (r ′, λ ) d r ′.
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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