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Bi-continuous Valuations

Klaus Keimel
1998 Electronical Notes in Theoretical Computer Science  
Shorina consider valuations on topological spaces that are continuous, co-continuous and strongly non-degenerate 2].  ...  In a recent paper Partial Metrics and Co-continuous Valuations, M. A. Bukatin and S. Yu.  ...  Scott) there are bi-continuous valuations.  ... 
doi:10.1016/s1571-0661(05)80218-x fatcat:ji4dzwpusvbdng35vde44i2g6y

On Hadwiger-Alesker finiteness theorem [article]

Ercüment Ortaçgil
2022 arXiv   pre-print
The space of continuous valuations which are only translation invariant is infinite dimensional.  ...  Then the dimension of O(H, O(n))-invariant continuous valuations on R(w) is n + 1 = dim H + 1 with a canonical basis µ 0 , µ 1 , ..., µ n .  ... 
arXiv:2206.12872v2 fatcat:nf2klmdzcjg73ety5xiijjc3bu


Mona Khare, Soni Guptah
2008 Demonstratio Mathematica  
In the present paper we have derived some properties of the pseudo-metric introduced by Riecanová on a lattice effect algebra E corresponding to a valuation ω on E, which turns out to be a metric if ω  ...  (ii) If, in addition, L is a σ-complete lattice and μ is upper continuous, then ai = bi(mod μ), ζ G Ν implies VSi α « = (V£i bi)(mod μ). Proof, (i) Let a,b,a\,bi G L.  ...  Let a¿ | a and bi | 6. TVien a = b(mod μ), provided L is infinitely distributive and μ is upper continuous. Proof. Since a¿ | a, bi | b and a¿ = bi(mod μ) for all ieN, i.e.  ... 
doi:10.1515/dema-2008-0202 fatcat:jqwcyyfrevcd3oegrupyncxjye

Page 937 of Mathematical Reviews Vol. , Issue 2000b [page]

2000 Mathematical Reviews  
As an application, the connectedness of the H(A) unit interval (ZL) and the H(A) real line R(L) are proved.” 2000b:06023 06B35 06B23 Keimel, Klaus (D-DARM; Darmstadt) Bi-continuous valuations.  ...  There are obvious obstructions to the existence of bi-continuous valuations in the case of non-trivial 7\-spaces X; on the other hand, Bukatin and Shorina have recently shown that they exist on complete  ... 

Reputation-Aware Continuous Double Auction

Yuan Liu, Jie Zhang, Han Yu, Chunyan Miao
Truthful bidding is a desirable property for continuous double auctions (CDAs). Many incentive mechanisms have been proposed to elicit truthful bids.  ...  In this situation, buyers may become unwilling to bid their true valuations in the future to compensate for their risks of being cheated, thereby rendering CDAs ineffective.  ...  Proof 1 For a buyer i with true valuation b i for an item, and a seller j with true cost a j for the same item, we need to show that among all possible bids bi from buyer i, setting bi = b i maximizes  ... 
doi:10.1609/aaai.v28i1.9090 fatcat:p52bmunt6jg4dnnuqwlor4asoy

A Search-Based Theory of the On-the-Run Phenomenon

Pierre-Olivier Weill, Dimitri Vayanos
2006 Social Science Research Network  
There is a continuous flow F of average-valuation agents who switch to high valuation, and a continuous flow F who switch to low valuation.  ...  Thus, ν i µ bo µ i = κµ si + κµ si + λµ bi µ si . (B.5) Low-valuation non-searchers ni: The inflow is λµ bi µ si from the low-valuation sellers.  ... 
doi:10.2139/ssrn.669821 fatcat:wbqlvj2isfex3e32yfl5isyaiy

A Search-Based Theory of the On-the-Run Phenomenon

2008 Journal of Finance  
There is a continuous flow F of average-valuation agents who switch to high valuation, and a continuous flow F who switch to low valuation.  ...  Thus, ν i µ bo µ i = κµ si + κµ si + λµ bi µ si . (B.5) Low-valuation non-searchers ni: The inflow is λµ bi µ si from the low-valuation sellers.  ... 
doi:10.1111/j.1540-6261.2008.01360.x fatcat:v3awp2jjfvavzpkd5xrhskk62a

Valuation rings in finite-dimensional division algebras

H.H Brungs, Joachim Gräter
1989 Journal of Algebra  
In this case T= n Bi, Bi in 9.  ...  Such a ring is called an extension of the valuation ring B of K, the centre of D, if B' n K= B.  ...  This process is continued until finally B1/MZ is the x1-adic valuation ring of B,/M2 E L(x,), B,/M1 z L.  ... 
doi:10.1016/0021-8693(89)90190-7 fatcat:vk55li2wzfc55ogqgizskmd42m

A National Survey of the Perceived Monetary Value of Public Library Service for Norwegians: Contingent Valuation Approach Reveals a 1:4 Cost-Benefit Ratio

Steph Hall
2007 Evidence Based Library and Information Practice  
Design – Four sets of 2 questions were included in a bi-monthly omnibus telephone survey conducted by a private agency. Setting – Norway.  ...  Conclusions – The 1:4 cost-benefit ratio provides a rationale for continued government funding of the public library in Norway as a cost-effective and much-valued service at the national level.  ...  As Aabø and her scholarly colleagues continue their work in this area, it is to be hoped that best practices for credible valuations of library service will emerge, simplifying the task of replicating  ... 
doi:10.18438/b8pc7d fatcat:5w6tckrujvgerfhppzbtvt3bqy

A characterization of partial metrizability: domains are quantifiable

M.P. Schellekens
2003 Theoretical Computer Science  
As an application, we show that ω-continuous dcpo's are quantifiable in the sense of [O'N97], i.e. the Scott topology and partial order are induced by a partial metric.  ...  The characterization yields a powerful tool which establishes a correspondence between partial metrics and special types of valuations, referred to as Q-valuations (cf. also [Sch00] ).  ...  A continuous dcpo with a countable basis is called ω-continuous. An ω-continuous dcpo is also simply referred to as a domain.  ... 
doi:10.1016/s0304-3975(02)00705-3 fatcat:qeryzby3tjcflk2sll3e3apune

Payment Measures, Interest, and Discounting

Ragnar Norberg
1990 Scandinavian Actuarial Journal  
Additional regularity requirements lead to valuating any payment stream by the integral of a positive discount function with respect to the payment measure.  ...  Each Bi is absolutely continuous with respect to B. Since B is a-finite, the Radon-Nikodym derivative bi=dBJdB exists for each i.  ...  A comparison of (2.3) and (2.4) illustrates why continuous payment streams may serve as convenient ap proximations to discrete ones. Valuation of payment streams A. Consistent valuations.  ... 
doi:10.1080/03461238.1990.10413870 fatcat:6rhq5k53vbdvrcwjobdgltug3y

Page 663 of Annals of Mathematics Vol. 40, Issue 3 [page]

1939 Annals of Mathematics  
The valuation B is said to be an extended valuation of Bi , if B induces in K(x, y) the valuation B,;.  ...  These relations continue to hold (and are trivial) if we replace in them the ring $* by the ring 2 (and wi by the prime ideal Q(z, y)).  ... 

Graceful 2-regular graphs and Skolem sequences

Jaromir Abrham
1991 Discrete Mathematics  
An cu-valuation 1~ of a graph G is a graceful numbering of G which satisfies the following additional condition: There exists a number r (OS r s ]E(G)]) such that for any edge e = (v, w),  ...  Now we choose (at this moment arbitrarily) one of the pairs (ai, aj+k), (bi, bi+& (q+kr hi), (g, bi+k) 2nd assign the value k to both its terms.  ...  If we allow only the pairs of the type (ai, ai+j), (bi, bi+j), this becomes impossible for cycles of odd length.  ... 
doi:10.1016/0012-365x(91)90247-y fatcat:o4l4ikoicjhbvmfmg344ja6soa

Page 93 of American Mathematical Society. Transactions of the American Mathematical Society Vol. 97, Issue 1 [page]

1960 American Mathematical Society. Transactions of the American Mathematical Society  
them with respect to the resulting metric, thereby obtaining the lattices of the second kind, which are of course continuous geometries.  ...  Our lattices do possess a positive valuation, but when the valuation is normal- ized by assigning the value 1 to the unit element, then there are no elements taking the values 1/n, n=2, 3, 4, - - -.  ... 

Warrant Pricing: A Review of Empirical Research

Chris H. Veld
2001 Social Science Research Network  
The most important conclusions that can be drawn from reviewing these studies are: (1) it is not necessary to make a correction on opdon valuation madels for the dilution effect; (2) there is no conclusive  ...  . 6 valuation model4.  ...  These results imply that all option valuation models used in their study undervalue warrant prices. This outcome is especially remarkable for the BIS-model.  ... 
doi:10.2139/ssrn.5818 fatcat:ml26n5k7ynacvjxnikzzw2p4dq
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