In this paper, we provide a dynamic geometric imaging of the isosymmetries, which characterize the mutual contact/penetration of paired electron wavepackets in the isostandard model of cooper pairs in superconductors. This is accomplished by modifying the theoretical framework developed by researchers at Howard University. In their model, the Howard group based their approach on the classical H...

Soil extracellular enzyme activity (EA) and its eco-enzyme stoichiometric ratio (ES) are extremely sensitive to environmental change. This study aimed clarify the change law of EA ES in soil with different nitrogen addition levels under plastic film mulching, optimize application amount fertilizer that was used. Based on location experiment mulching fertilization has been ongoing since 2015, sa...

This is an on-line appendix with more details and analysis for the readers of the paper. B.1 Derivation for the A i 's, risk-free rate and market price of risk First, we rewrite the normalized aggregator f defined in Equation (5) as f (C, J) = β 1 − 1 ψ (1 − γ)J[G − 1], where G ≡ (C ((1 − γ)J) 1 1−γ) 1− 1 ψ. (B1) Then, taking partial derivatives of f (C, J) with respect to J and C , we have f J...

High resolution simulations are used to map out the detailed structure of two long-lived stable belts of asteroid orbits in the inner Solar system. The Vulcanoid belt extends from 0.09 to 0.20 astronomical units (au), though with a gaps at 0.15 and 0.18 au corresponding to de-stabilising mean motion resonances with Mercury and Venus. As collisional evolution proceeds slower at larger heliocentr...

The three SAT serotype viruses, endemic in Africa, are well known for their difficulty to adapt to cell culture. The viral mechanism involved in foot-and-mouth disease virus (FMDV) tissue tropism and cell-entry is not well understood. A recombinant, small plaque-forming virus (vSAT1tc), derived from a tissue culture-adapted SAT1 virus (SAR/9/81tc), revealed four amino acid substitutions (VP3 As...

Glucuronidation is a major metabolism process of detoxification for carcinogens, 4-(methylnitrosamino)-1-(3-pyridy)-1-butanone (NNK) and 1,2-dimethylhydrazine (DMH), of reactive oxygen species (ROS). However, intestinal E. coli   β-glucuronidase (eβG) has been considered pivotal to colorectal carcinogenesis. Specific inhibition of eβG may prevent reactivating the glucuronide-carcinogen and prot...

Gauge-Yukawa Unification (GYU) yields a functional relation among the gauge and Yukawa couplings, and it may follow from the usual Grand Unification if it is supplemented with some additional principles. Postulating the principles of finiteness and reduction of couplings, we have achieved Gauge-Yukawa Unification in various supersymmetric unified models leading, among other things, to interesti...

It is proved that a discrete group G is exact if and only if its left translation action on the Stone-Čech compactification is amenable. Combining this with an unpublished result of Gromov, we have the existence of non exact discrete groups. In [KW], Kirchberg and Wassermann discussed exactness for groups. A discrete group G is said to be exact if its reduced group C-algebra C λ(G) is exact. Th...

Without the restriction of metrizability, topological dynamical systems (X, 〈Ts〉s∈G) are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characteri...

Let G := (V,E) be a simple graph; for I ⊆ V we denote by l(I) the number of components of G[I], the subgraph of G induced by I. For V1, . . . , Vn finite subsets of V , we define a function β(V1, . . . , Vn) which is expressed in terms of l `Sn i=1 Vi ́ and l(Vi ∪ Vj) for i ≤ j. If V1, . . . , Vn are pairwise disjoint finite independent subsets of V , the number β(V1, . . . , Vn) can be computed...