Sentence examples for by calculating the second from inspiring English sources
By calculating the second partial derivations of TCb, we get h 11 = ∂ 2 TC b ∂ r 2 = h b + π Q e − λ D r, h 12 = h 21 = ∂ 2 TC b ∂ Q ∂ r = D h b + π λ Q 2 e − λ D r − h Q D λ Q + 1 e − λ D Q Open image in new window h 22 = ∂ 2 TC b ∂ Q 2 = 2 A b D Q 3 + 2 D 2 h b + π λ 2 Q 3 e − λ D r + 2 D h b λ Q r − D λ 1 Q 2 + λ D Q + λ 2 2 D 2 e − λ D Q Open image in new window.
We determined the crossing points of the amplification curves for the variable and the common DNA tag region for each sample by calculating the second derivative maximum (LCS480 1.5.0.39 software).
The second quantity, the dispersion of mRNA, is measured by calculating the second moment μ2 of RNA positions: μ 2 = 1 N ∑ i − 1 N { (x i − x ‒ R N A ) 2 + (y − y ‒ R N A ) 2 + (z i − z ‒ R N A ) 2 = σ x 2 + σ y 2 + σ z 2 where N is the total number of mRNA molecules, xi, yi, zi are the coordinates of the ith mRNA, and σ x 2, σ y 2, σ z 2 are the variances of the positions.
The contrast-enhancement performance is measured by calculating the second-order entropy and a new contrast metric proposed in the article.
By calculating the first Lyapunov coefficient, the stable periodical oscillation is shown.
Then, a numerical routine is used to determine the storage modulus by calculating the first zero of the nonlinear equation.
Equilibrium configurations are derived by calculating the first variation of a generalized Helfrich energy, and their stability is examined by means of the second variation.
We can obtain the equation by calculating the first derivative of ( f(x) ), and obtain its singularity set by setting ( f"(x) = 0 ).
The method is demonstrated by calculating the first ten natural frequencies and the corresponding mode shapes for an open truss helicopter tail-boom structure.
The efficiency of the method is demonstrated by calculating the first-excursion probabilities for a linear oscillator subjected to white noise excitation and for a five-story nonlinear hysteretic shear building under uncertain seismic excitation.
