Sentence examples for obtain a limit from inspiring English sources

That is, in order to obtain a limit the sequence of partitions usually consists of ever finer sets and the number of populations diverges.

Theorem 1.6 Suppose that K, L and Q are convex bodies in R n that contain the origin in their interiors, then for real λ ∈ [ 0, 1 ], we have V ¯ 0 ( Q, ( 1 − λ ) ⋅ K + 0 λ ⋅ L ) ≤ V ¯ 0 ( Q, K ) 1 − λ V ¯ 0 ( Q, L ) λ. Combining the famous variant (proved in [4]) of Aleksandrov's lemma and the representation of (1.4), we obtain a limit form of V ¯ 0 ( K, L ) in the following theorem.

Even if computing power bottleneck could be alleviated, it can only obtain a limited performance improvement.

Tyler Winklevoss, CEO of Gemini, said "we didn't apply for a BitLicense because we wanted to build an exchange that both Main Street and Wall Street could use and trust, so we decided to obtain a limited liability trust company charter in order to do so".

Under suitable assumptions on the magnetic field and on the perturbations, we obtain a limiting absorption principle, we prove the absence of singular continuous spectrum in certain intervals and state properties of the point spectrum.

These properties conspire to guarantee a modularity property for influence networks that allows us to lift an emulation of a subnetwork to an emulation of a full network.As an example, in Figure  5(A) we have wired two AM networks to obtain a limit-cycle oscillator (the gray links between the AM's have half the rate of the black links within the AM's).

The result there is used earlier in our paper to obtain a boundary limit theorem for sturdy harmonic functions and continuous linear maps.

The experimental parameters involved in each step of the immunosensor design were studied and optimized, obtaining a limit of detection of 30 U/mL CA125.

In order to obtain a detection limit as low as possible, the ELISA part of the procedure was optimised as well.

For the determination of trace elements, tube conditions and counting times were optimized automatically up to 4 kW and 400 s per element, to obtain a detection limit of ~3 ppm (3σ).

In order to obtain a detection limit as low as possible for a quantitative enterovirus specific RT-PCR ELISA assay, optimal reaction conditions, which give rise to the highest response, need to be determined.