Sentence examples for by using the limit from inspiring English sources
Since, for all and has closed graph, by using the limit presented above, we get that, that is,.
By using the limit properties of the time map, we prove that the given equation has at least one 2π periodic solution.
We mainly study the strong limit theorems for the log-optimal portfolio in the stock investment by using the limit properties for arbitrary random variables.
Furthermore, by using the limit transition from little q-Jacobi polynomials to the third q-Bessel function and from q-Laguerre to the second q-Bessel function we construct a q-Bessel version of the Askey-Wilson (AW(3)) algebra.
Although solutions (14)–(16) are found for the case of the resonant membrane, an 'LRC' circuit can be naturally turned into a 'RC' circuit by using the limit r → ∞ which gives γ 2 = ( 1 / τ + ω ) / D. In the case of purely passive membrane, it is possible to make extra progress and find analytical forms of the solutions in the time domain (see Appendix A).
We modified the method by using the limit for a minimum of 40 registrations similar to what we have been using in previous experiments (Åkesson, 1994; Åkesson et al., 2001), enabling us to compare the activity levels among tests.
In the high-resolution regime, asymptotic quantizer designs for distributed estimation were derived in[8, 9] by using the limiting density of quantizer partitions.
Malaria parasite cloning is traditionally carried out mainly by using the limiting dilution method, which is laborious, imprecise, and unable to distinguish multiply-infected RBCs.
After FACS sorting, ALDH1+ and ALDH1− cells were inoculated into Ultra-low attachment 96-well plates (Fisher Scientific, Loughborough, UK) by using the limiting dilution method.
In addition, we limited each search to a specific year by using the "Limits" function, which is incorporated in the search engine.
