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Complete listing of order parameters for a crystalline phase transition: A solution to the generalized inverse Landau problem

Dorian M. Hatch, Harold T. Stokes
2001 Physical Review B (Condensed Matter)  
Examples are given for a variety of phase transitions showing the application and utility of the procedure. It is shown that a unique selection of primary order parameters is not always possible.  ...  The task of obtaining all order-parametric distortions for a group-subgroup pair is a long standing problem.  ...  This example is of interest because of its large number of OP's, and because the primary OP arises from a line of symmetry ⌺, in the Brillouin zone.  ... 
doi:10.1103/physrevb.65.014113 fatcat:u4p76qyt35h5xnkbpq4aselxvy

A solution thermodynamic study of soybean oil/solvent systems by inverse gas chromatography

Jerry W. King, Gary R. List
1990 Journal of the American Oil Chemists Society  
ACKNOWLEDGMENTS The assistance of K. Strum and J. Woerner is gratefully acknowledged.  ...  A Solution Thermodynamic Study of Soybean Oil/Solvent Systems by Inverse Gas Chromatography' . . ^ : Jerry W. King* and Gary R.  ...  A convenient experimental method for measuring the above parameters at conditions approaching infinite dilution is the technique of inverse gas chromatography (IGC).  ... 
doi:10.1007/bf02638953 fatcat:hkprmjd4uvdg5avxggiul5xlie

Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars

Charles R. Johnson, António Leal Duarte, Carlos M. Saiago
2003 Linear Algebra and its Applications  
We characterize the possible lists of ordered multiplicities among matrices whose graph is a generalized star (a tree in which at most one vertex has degree greater than 2) or a double generalized star  ...  Here, the inverse eigenvalue problem (IEP) for symmetric matrices whose graph is a generalized star is settled.  ...  We further solve the inverse eigenvalue problem (IEP) for matrices whose graph is a given generalized star T , and we note that the IEP is equivalent to determining which lists of ordered multiplicities  ... 
doi:10.1016/s0024-3795(03)00582-2 fatcat:ialevj5ytrh77ldptrnbjc5agi

Counting Inversions Adaptively [article]

Amr Elmasry
2015 arXiv   pre-print
We give a simple and efficient algorithm for adaptively counting inversions in a sequence of $n$ integers.  ...  Our algorithm runs in $O(n + n \sqrt{\lg{(Inv/n)}})$ time in the word-RAM model of computation, where $Inv$ is the number of inversions.  ...  While passing by the header of a list, the count of its elements is added to the inversions count.  ... 
arXiv:1503.01192v1 fatcat:url3d2uwyvcojcqg2lysmbna4u

Automatic inversion generates divide-and-conquer parallel programs

Kazutaka Morita, Akimasa Morihata, Kiminori Matsuzaki, Zhenjiang Hu, Masato Takeichi
2007 Proceedings of the 2007 ACM SIGPLAN conference on Programming language design and implementation - PLDI '07  
Our idea is to reduce extraction of list homomorphisms to derivation of weak right inverses.  ...  Among others, list homomorphisms are a class of recursive functions on lists, which match very well with the divide-and-conquer paradigm.  ...  This work was partially supported by Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B) 17300005, and the Ministry of Education, Culture, Sports, Science and Technology  ... 
doi:10.1145/1250734.1250752 dblp:conf/pldi/MoritaMMHT07 fatcat:zolwahhzr5abve4vs6a5wkhzxq

Automatic inversion generates divide-and-conquer parallel programs

Kazutaka Morita, Akimasa Morihata, Kiminori Matsuzaki, Zhenjiang Hu, Masato Takeichi
2007 SIGPLAN notices  
Our idea is to reduce extraction of list homomorphisms to derivation of weak right inverses.  ...  Among others, list homomorphisms are a class of recursive functions on lists, which match very well with the divide-and-conquer paradigm.  ...  This work was partially supported by Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B) 17300005, and the Ministry of Education, Culture, Sports, Science and Technology  ... 
doi:10.1145/1273442.1250752 fatcat:zug3lyznanfcpnu6eg7evd5vgi

Page 13592 of The Federal Register / FIND Vol. 73, Issue 50 [page]

2008 The Federal Register / FIND  
Inverse Fund Shares seek to provide investment results, before fees and expenses, that correspond to the inverse (opposite) of the percentage performance on a given day of a particular foreign, domestic  ...  ^ Accordingly, this proposal will enable the Exchange to list and trade Multiple Fund Shares and Inverse Fund Shares pursuant to Rule 19b—4(e) of the Act, 17 CFR 240.19b-4(e), if each of the conditions  ... 

Page 53472 of The Federal Register / FIND Vol. 73, Issue 180 [page]

2008 The Federal Register / FIND  
multiple (“Multiple Fund Shares”) or that correspond to the inverse (opposite) of the performance of a specified index by a specified multiple (“Inverse Fund Shares”) (collectively, “Fund Shares”).  ...  Inverse Fund Shares seek to provide investment results, before fees and expenses, that correspond to the inverse (opposite) of the percentage performance on a given day of a particular foreign or domestic  ... 

Transforming interpreters into inverse interpreters by partial evaluation

Robert Glück, Youhei Kawada, Takuya Hashimoto
2003 SIGPLAN notices  
The experiments in this paper apply the idea of prototyping programming language tools from robust semantics: we used a partial evaluator (Similix) to turn interpreters into inverse interpreters.  ...  Limiting factors of offline partial evaluation were the polyvariant specialization scheme with its lack of generalization; advantages were the availability of higher-order values to specialize a breadthfirst  ...  to Takeshi Takeuchi for testing some of the programs.  ... 
doi:10.1145/966049.777391 fatcat:iymfman5ofhtjdbdiz364fwvg4

Transforming interpreters into inverse interpreters by partial evaluation

Robert Glück, Youhei Kawada, Takuya Hashimoto
2003 Proceedings of the 2003 ACM SIGPLAN workshop on Partial evaluation and semantics-based program manipulation - PEPM '03  
The experiments in this paper apply the idea of prototyping programming language tools from robust semantics: we used a partial evaluator (Similix) to turn interpreters into inverse interpreters.  ...  Limiting factors of offline partial evaluation were the polyvariant specialization scheme with its lack of generalization; advantages were the availability of higher-order values to specialize a breadthfirst  ...  to Takeshi Takeuchi for testing some of the programs.  ... 
doi:10.1145/777388.777391 dblp:conf/pepm/GluckKH03 fatcat:ik3heqwf4zg2vablulu7q3hxfu

The list update problem and the retrieval of sets

Fabrizio d'Amore, Vincenzo Liberatore
1994 Theoretical Computer Science  
Liberatore, The list update problem and the retrieval of sets, Theoretical Computer Science 130 (1994) 101-123. 0304-3975/94/$07.00 0 1994-Elsevier Science B.V.  ...  Acknowledgment We wish to thank the anonymous I-ct'erees for their criticism and helpful comments that allowed the authors to substantially improve the presentation of the paper.  ...  In phase A, the adversary H pays a unit cost to carry out each of its paid exchanges. Because of Lemma 4.5, half the time H creates a type 1 inversion, and half the time a type 2 inversion.  ... 
doi:10.1016/0304-3975(94)00010-7 fatcat:nldvd5urnvb3jaimjsdtnge3ri

Page 2149 of The Federal Register / FIND Vol. 74, Issue 9 [page]

2009 The Federal Register / FIND  
for Multiple Fund Shares and Inverse Fund Shares.’ ^ With respect to the listing and trading of a series of Inverse Fund Shares that seek to provide investment results that exceed 300% of the percentage  ...  Inverse Funds and Leveraged Inverse Funds); 52553 (October 3, 2005), 70 FR 59100 (October 11, 2005) (SR-Amex-2004-62) (approving the listing and trading of the ProShares Ultra Funds and Short Funds): 54040  ... 

Page 63758 of The Federal Register / FIND Vol. 73, Issue 208 [page]

2008 The Federal Register / FIND  
to the listing and trading of a series of Inverse Fund Shares that seek to provide investment results that exceed — 300% of the percentage performance of an underlying benchmark index, the Commission  ...  for Inverse Fund Shares that correspond inversely up to - 200% of the percentage performance of a particular underlying benchmark index).  ... 

An improved optimal algorithm for bubble-sorting-based non-Manhattan channel routing

Jin-Tai Yan
1999 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
, proposed, where n is the number of terminals and k is the number of routing tracks in a channel.  ...  However, the time complexity of the two algorithms is in O(n 3 ) time in the worst case.  ...  Proof: For a vector , let and be a left-swap list and a right-swap list of , respectively. For the inversion values in a and . . .  ... 
doi:10.1109/43.743726 fatcat:tvohybd6rrespkplym2ljloyze

Page 21393 of The Federal Register / FIND Vol. 73, Issue 77 [page]

2008 The Federal Register / FIND  
The Exchange will then determine on a case-by-case basis whether a default of a particular Financial Instrument justifies a trading halt of the Multiple and/or Inverse Fund Shares.  ...  Generic Listing Standards Pursuant to Section 19(b) of the Act and Rule 19b—4 thereunder,^^ the listing and trading of a new derivative secmities product is a proposed rule change that must be filed with  ... 
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