Sentence examples for expressions in brackets from inspiring English sources
The hydrogen ion concentration of the buffer solution is given by the expression: in which Ka is the ionization constant of acetic acid and the expressions in brackets are the concentrations of the respective substances.
where [ A2] denotes the concentration of CheA2 and all other expressions in brackets follow this notation.
This matrix is given by an infinite series, and the typical summand in this series is given by the expression in brackets in (11).
It should be noted that the expression in brackets in (2) is doubled, because there are two symmetric cracks in the beam considered (Fig. 1).
The first expression in brackets [3.5 − 2.5M u /V u d] in Eq. (2) is the increase in shear strength over the inclined cracking shear and should be more than 2.5 (ACI 318 1999).
In the case of traffic approximations neglecting differences among traffic patterns of working and weekend days realized with seven and 24 time periods, the expression in brackets is multiplied by C1 and C2 transformation factors (C1 = 0.03 1/month C2 = 0 1/month).
Altogether, when applied to λ a h c, the expression in brackets in the basic formula above is replaced by ( α + β ( 1 + σ v H ˆ − β v B ˆ − c κ σ v − c κ v H ˆ B ˆ.
(2) Assuming that are known, the observation is a linear function of and the optimum can easily be calculated with the derivative of the expression in brackets in (35) with respect to and setting the result to 0, yielding (36) which, from (29), yields.
A formal use of the Maclaurin formula for the first integral in (7) will lead to the following result: (K_{a}, varphi =frac{1}{2pi^{2} }sum _{k=0}^{infty}frac{b^{k}}{k!} int _{-N}^{+N}varphi^{ k)}_{xi_{2}}( xi_{1},0) biggl( int_{-N}^{+N}frac{t^{k},dt}{xi_{1}^{2}-t^{2}} biggr),d xi_{1}, (8) and we need to give a certain meaning to the expression in brackets.
