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Exact(12)
Denote by the expression in brackets, then (3.7).
This matrix is given by an infinite series, and the typical summand in this series is given by the expression in brackets in (11).
By equating with zero, the expression in brackets is ln 2 + 1 k = 0 ⇒ k 0 = - 1 ln 2 ≈ - 1, 44269.
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).
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.
Similar(48)
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.
which is the expression in curly brackets in (4).
The task is now to obtain that the expression in the brackets is null.
end{aligned}Thus it suffices to proof that the expression in the brackets is positive.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com