In this paper, we have discussed an unsolved problem in [1], which is that if v_1 and v_2 are two valuations on quasi—valuation ring R, the extensions of v_1 and v_2 on R's quotient field F aren't equivalent, whether are v_1 and v_2 equivalent on R?
By using valuation theorem and Sperner lemma in topology,a result having a close relation with Stein's conjecture is obtained,that is, for any special polygon P , there are a family of special polygons { P n|n ∈N} such that lim n→∞P n=P , lim h→∞A(P n)=A(P) ,and P n can not be cut into an odd number of triangles of equal areas.
For a Petri net ∑ = (S, T'; F, M), |S| = m, |T'| = n, a list of prime numbers As = {p1,p2, ... ,pm } which are called assignment are assigned to place set.
Basic probability assignment function(BPAF) is constructed by Grey Association Analysis in each sensor, and evidences are combined by D-S Theory from multisensor sources in fusion center.
Based on two basic indefinite equations:x~2+y~2=z~2和x~2-dy~2=1 and their relevant theorems,the positive integer solutions of indefinite equationx~2+(x+1)~2=z~2 was discussed. Assignment calculation was conducted with n as a special value. Accordingly,general term formula for all positive integer solutions was verified.
Accuracy of ink transfer experiment on coated paper and newspaper is proved to be according with ink tranfer equation mathematical model by value assignment,this the field of application of the equation is expanded.
GIS technology makes quantitative, digital, and scientific urban green space system planning become possible and plays an important role in the existing green space classification data value assignment and analysis, green space planning maps operations and spatial analysis, and the establishment of green space planning system.
Based on existed research experiences, problems of selection of influence factors and value assignment for single factor in comprehensive index method are further studied and four feasible calculating schemes are drawn up in this paper.
To discriminate correctly the burning-through point in sintering process,a fuzzy control system of sintering process is modeled and a new value assignment method is proposed for the burning-through point to enable a more reasonable design for the discrimination of burning-through point in sintering process with a real-time control ensured.
In this paper, we have discussed an unsolved problem in [1], which is that if v_1 and v_2 are two valuations on quasi—valuation ring R, the extensions of v_1 and v_2 on R's quotient field F aren't equivalent, whether are v_1 and v_2 equivalent on R?
Suppose that R is a commutative Artinian chain ring, A is an m × m matrix over R, and S is a discrete valuation ring such that R is a homomorphic image of S.
These components embed efficient Operations Research algorithms computing the optimal solution of the relaxed problem and a gradient function representing the estimated cost of each variable-value assignment.
The basic constraint on such structures is the Kochen and Specker 'no-go' hidden-variables theorem, which demonstrates that no value assignment to certain finite sets of observables can preserve the functional relations between commuting observables.
In a vague-set-based fuzzy multi-objective decision making model, different valuations for upper and lower bounds of satisfaction usually lead to distinct ranking results.
An unrecognized problem arises in recent inter-mural Christian constructions of the settings for interpreting Paul's polemic, wherein negative valuations of Jewishness persist in the discourse, regardless of stated intentions to avoid that outcome.
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