Sentence examples for there exists both from inspiring English sources

Clearly there exists both motive and opportunity for fraud and fabrication in many cases.

The resonant problem of multi-parallel inverters is complex [76, 77], and there exists both a fixed and an unfixed resonant band.

It is well understood, and there exists both exact theory and efficient numerical algorithms for calculation of the distribution of safety related wave characteristics, such as crest height and steepness.

I find this the case both in abstract and in how it plays out in politics and world religion -- within each of the major traditions there exists both those who are aware of the necessity of flexibility, and groups of followers who are less willing to accommodate others or see their position as beliefs vs. singular truth.

That is, there exists both external noise - outside of the nervous system - and neural noise (related to dopamine tone) inside the system.

In that "almost" there exists both the weakly flickering hope and mountainous sorrow that combines so often in Kleist's work, and generates its uncanny power.

Then all solutions are global if λ 1 ≥ 1, and there exist both global and nonglobal solutions if λ 1 < 1. Theorem 1.3 If p > max { m, q }, then there exist both global and nonglobal solutions to (1.1).

We further observe that there exist both a substitution effect and a complementary effect between the concession period and the subsidy level.

Furthermore we establish that, if C X)⊊C X)′, there exist both a C∗-subalgebra properly between C X) and C X)′ which has the aforementioned intersection property, and such a C∗-subalgebra which does not have this property.

Conversely, if the consumption space has low dimension relative to the number of observations, then there exist both rational and irrational preference relations that can never be revealed by choices.

Recalling Proposition 2.3 and Proposition 3.2 in [13], we see that, under some parameter conditions, there exist both positive and negative solitary waves with nonvanishing boundary, whose amplitude is strictly increasing or decreasing with wave speed c.