Sentence examples for here there exist from inspiring English sources

As we have shown here, there exist ultradiscrete systems with confined singularities (in the sense of Joshi and Lafortune) and which are nonintegrable.

Also analytic and continuous extensions of solutions to homogeneous Dirac equations are studied, and it is shown that for each cell of harmonicity considered here there exist solutions to each iterate of the Dirac operator which may not be extended beyond any point of the closure of the cell.

Let us restate here: There exist skew-product maps of the form (F t, z) = (frac{t}{1+t}, f_t z))) where (f_t z) = f t,z)) is a polynomial in two variables, and a vertical holomorphic disk (D_m subset {t=t_{m}}) whose (omega) -limit set contains the parabolic fixed point (0, 0) that is in the Julia set of (f_0).

In addition, here there exists γ(t) ∈ S 0, where S 0 is the Segal algebra space, defined as [24] {S}_0:=left{ xin {L}_2left(mathbb{R}right Big|{leftVert xrightVert}_{S_0}={leftVert {V}_{varphi} xrightVert}_{L^1left(mathbb{R}times widehat{mathbb{R}}right)}

It is shown here that there exists a POF gain for sliding mode to occur for any controllable and observable Delta operator system.

It is shown here that there exists a COP function h and an inner function I such that I divides h in H1, but the result is not in COP.

For a review on the proteins involved in mitochondrial dynamics, readers can refer to Ref. 22. To assist in developing intuition describing our approach, we will assume here that there exists a smallest mitochondrial 'unit'unit

Here, we have proved that there exist two distinct positive periodic solutions for equation (1.3), which generalizes and improves the result of [27].

If one specifies ϕ = 0.05 and = 641.6667, then the optimal slenderness will be 0.240618, and the nondimensional constructal system overall temperature difference will be 0.296778, which is the lowest point in Figure 2. Similarly, for the other kinds of building blocks considered here, there also exists such a best-performing slenderness.

Somewhere in a world full of advanced technology that we write about regularly here on TechCrunch, there exists an ancient realm where mainframe computers are still running programs written in COBOL.

You are there, exist there.