Difference Forms

Difference Forms

Currently, there is much interest in the development of geometric integrators, which retain analogues of geometric properties of an approximated system. This paper provides a means of ensuring that finite difference schemes accurately mirror global properties of approximated systems. To this end, we introduce a cohomology theory for lattice varieties, on which finite difference schemes and othe...

Nillsen Difference Spaces and Invariant Linear Forms

The weighted difference substitutions and Nonnegativity Decision of Forms

In this paper, we study the weighted difference substitutions from geometrical views. First, we give the geometric meanings of the weighted difference substitutions, and introduce the concept of convergence of the sequence of substitution sets. Then it is proven that the sequence of the successive weighted difference substitution sets is convergent. Based on the convergence of the sequence of t...

Enzymatic characterization and interspecies difference of phenol sulfotransferases, ST1A forms.

Cytosolic sulfotransferases, which mediate activation and detoxification of both endogenous and exogenous compounds, consist of at least five different gene families (ST1 to ST5) in mammals. Several cDNAs corresponding to ST1A forms have been reported, but their functional properties are not well characterized. In addition, only a single form of ST1A sulfotransferase has been reported in each e...

Difference distance map data of alternative crystal forms of UlaA

We introduce the value of information obtained by comparing alternative crystal forms of the same sub-state (of outward open UlaA, our example protein), which is found in the same lattice configuration but different space groups. We compare instability estimates obtained using this new method (alternative crystal forms) with temperature factors. Using a transport assay result, we correlate obse...