Sentence examples for exists by assuming from inspiring English sources

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One can determine the range of velocities c for which such a solution exists by assuming that A ≈ e - λ ξ for sufficiently large ξ. Figure 1 Plots of firing rate function.

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While potential bias in selecting community controls does exist by assuming all cases have the same access to the district hospital referral and enrolment site, this is minimised by standard Malaysian Ministry of Health malaria health policies.

Moreover, (lim _{nrightarrow infty }dleft( x_{n},uright) ) exists by Lemma 4. Assume (xne u).

This periodicity could be explained by assuming that a second planet, designated 47 Ursae Majoris c, existed in the system with an orbital period close to 7 years.

The new machine, which is to have a $500,000 contribution from the United States, would almost certainly be powerful enough to see the Higgs, assuming that it exists, by 2005 or 2006.

By assuming there exists a positive integer m such that the grid norm h ≤ 1 2 m for X = { x 1, x 2, …, x N } is taken from S q, we deduce that the L p ( p = + ∞ ) approximation via the minimal norm must satisfy sup x ∈ S q | f ( x ) − S N ( x ) | ≤ C ( ∑ n = m + 1 ∞ d n q A n 2 ) ∥ f ∥ (1.1).

That is a precondition to follow Estonia into the euro zone, planned for 2014 (assuming the common currency still exists by then).

First of all, the explicit feedback controller is developed for a nonlinear multiple-input affine system by assuming that there exists a control Lyapunov function.

We consider the pneumatic chambers do not charge and exhaust air at the same time by assuming no leakage exists in pneumatic chambers.

Precisely, they start by assuming that there exists a sequence of sets (E_j), converging in measure to the unit ball, for which the quantitative inequality does not hold.

(d) Proceed by contradiction by assuming that there exists a finite t ∗ = t R ∈ [ 0, t 1 ) such that R ( t ) ≥ 0 ∀ t ∈ [ 0, t R ), R ( t R ) = 0 and R ( t R + ) < 0 with min { S ( t ), E ( t ), I ( t ) } ≥ 0 ∀ t ∈ [ 0, t R ].

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