For instance, mutants with a double knockout of the synthase genes (SN*, signal negative; the terms "signal negative" (SN) and "signal blind" (SB) were originally introduced by Diggle and associates [7] to designate ΔlasI and ΔlasR mutants, respectively, while we use the term for double lasI/rhlI and lasR/rhlR knock out mutants, respectively).
In the latter case the number of the resolved exponential terms for the double mutants was the same as the number of the exponential terms for either single-Trp-containing protein.
Hence for the observed co-occurrences: o_{alphabeta}=biggl 1-frac{delta_{alphabeta}}{2}biggr)sum _{i,j}o_{alphabeta}=biggl 1-frac{delta_{alphabeta}ted term accounts for double counting when the classes considered are the same.
To account for the effect of the walls the Green's functions are modified and all terms for the double-layer potential are derived.
Compared with some previous analytical solutions, which still require a numerical inversion of Laplace transform, our solutions, written in terms of double integral for the case of Parisian options but multiple integrals for the case of Parasian options, are both of explicit form; numerical evaluation of these integrals is straightforward.
Recently, Chen et al. [15] extended the traditional condition equation to the arbitrary matrix equation and established the rational solutions and complexitons in terms of double Wronskian forms for the AKNS system.
We discuss the problem of a representation for operator differences (f(A -f(B)) in terms of double operA -f integrals.
Eastern's near-term plan calls for doubling the size of the student center, to 92,000 square feet, starting next year, and building a second parking garage, which will be put out to bid soon, Ms. Tinker said.
The government responded by rushing through legislation to double prison terms for rape, and by criminalising voyeurism, stalking and the trafficking of women.
In response to the 2012 attack and the widespread public protests it provoked, India's government rushed through legislation doubling prison terms for rapists to 20 years and criminalizing voyeurism, stalking and the trafficking of women.
