Sentence examples for by using methods given from inspiring English sources

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In this study, by using methods given [13], we construct a method for determination of developable orthotomic ruled surfaces and obtain a linear differential equation of first order.

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For significance tests and calculation of 95% confidence intervals (CIs) we used methods given by Breslow and Day (1987).

For the higher number of repeats (4 6 repeats), all polymerases generated fragments that, when analyzed by using method 3, gave apparent sizes lower than expected.

By using the method given by (4.2) we obtain the following: A K-connected proper subset of (mathit{SC}_{K}^{n,l}) is K-contractible.

The functions (u_{i}^{(1)}) and φ (1) can be determined by using the method given by Ciarletta and Iesan (1993).

Second step, by using the method given in Section 3.2.1, we can get the estimation of fractional carrier frequency offset ε F, correcting is operated on the extract N samples of the preamble r ′ n = r n · e − j 2 πn ε F / N, n = 0, …, N − 1 (56).

Heyting shows the independence of his axioms using a method given by Bernays (1926); this use of a non-intended interpretation for metamathematical purposes Heyting accepted without hesitation, but he remarked that such metamathematics is "less important for us [intuitionists]" than the approach where all formulas are considered to be meaningful propositions (Heyting 1930, 43)/(Mancosu 1998, 312).

The major cations, e.g. Ca2+; Mg2+; Na+; K+; Fetotal and anions like HCO3−; Cl−2−; Cl− and SO42− were generated in the laboratory using the standard methods given by the American Public Health Association (APHA 1995).

The water samples collected in the field were analyzed for electrical conductivity, pH, total dissolved solids, major cations like calcium, magnesium, sodium, potassium, and anions SUCH AS bicarbonate, carbonate, chloride, nitrate and sulfate, in the laboratory using the standard methods given by the American Public Health Association.

Three-dimensional elasticity results are obtained using the method given by (Pagano 1970).

Stability of the proposed model in this paper is examined using the method given by Matignon [11].

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