Conversion of C2 to C3 compounds is used by nature in abundant processes such as photorespiration but comes at the cost CO2 release. Erb and co-workers recently published an article Nature Catalysis describing a synthetic pathway able convert through carbon fixation step. As climate crisis becomes more urgent, we must tackle major contributors change using collection creative solutions. The con...

The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac’s quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As a result, a new set of Lorentz-invariant canonical variables is constructed, in which a consistent quantization of bosonic open string theory could be done i...

Recently, Kitaev and Remmel [8] refined the well-known permutation statistic “descent” by fixing parity of one of the descent’s numbers. Results in [8] were extended and generalized in several ways in [7, 9, 10, 11]. In this paper, we shall fix a set partition of the natural numbers N, (N1, . . . ,Nt), and we study the distribution of descents, levels, and rises according to whether the first l...

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. O(a 2) improvement of the gauge fixing condition displays the secondary benefit of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. O(a 2) improvement of the gauge fixing condition displays the secondary benefit of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.

A useful choice of gauge when including null infinity in the computational domain is scri-fixing, that is, fixing the spatial coordinate location of null infinity. This choice allows us to avoid the introduction of artificial timelike outer boundaries in numerical calculations. We construct manifestly stationary scri-fixing coordinates explicitly on Minkowski, Schwarzschild and Kerr spacetimes....

Let V ⊆ [n] be a k-element subset of [n]. The uniform distribution on the 2k strings from {0, 1}n that are set to zero outside is called an (n, k)-zero-fixing source. An ϵ-extractor for sources mapping F: → 1}m, some m, such F(X) ϵ-close in statistical distance 1}m every source X. Zero-fixing were introduced by Cohen and Shinkar [7] connection with previously studied extractors bit-fixing sourc...

SUMMARY We have developed U-PRIMER, a primer design program, to compute a minimal primer set (MPS) for any given set of DNA sequences. The U-PRIMER algorithm, which uses automatic variable fixing and automatic redundant constraint elimination to tackle the binary integer programming problem associated with the MPS selection problem. The program has been tested successfully with 32 adipocyte dev...