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Microlocal analysis of scattering data for nested conormal potentials [article]

Suresh Eswarathasan
2011 arXiv   pre-print
We utilize the microlocal analysis of the wave operator =∂_t^2 - _x and multiplication by a nested conormal distribution in order to study their action on spaces of conormal-like distributions.  ...  Working in the time domain, we show that the location of the singularities and the principal symbol of a potential that is conormal to nested submanifolds S_2 ⊂ S_1 ⊂R^n, for n ≥ 3, can be recovered from  ...  A portion of this work was supported by NSF grant DMS-0853892.  ... 
arXiv:1103.6015v2 fatcat:cakifxo7o5e6fjtrjjes4ujgva

Microlocal analysis of scattering data for nested conormal potentials

Suresh Eswarathasan
2012 Journal of Functional Analysis  
We utilize the microlocal analysis of the wave operator = ∂ 2 t − x and multiplication by a nested conormal distribution in order to study their action on spaces of conormal-like distributions. Crown  ...  Working in the time domain, we show that the location of the singularities and the principal symbol of a potential that is conormal to nested submanifolds S 2 ⊂ S 1 ⊂ R n , for n 3, can be recovered from  ...  A portion of this work was supported by NSF grant DMS-0853892.  ... 
doi:10.1016/j.jfa.2011.12.013 fatcat:rwbjwahplzfupndhwpqhhb6fre

Microlocal Analysis of Scattering Data for Nested Conormal Potentials [chapter]

Suresh Eswarathasan
2012 Microlocal Methods in Mathematical Physics and Global Analysis  
This work is a fairly straightforward generalization of the theory of nested conormal distributions.  ...  the previous lemma for nested conormal distributions.  ... 
doi:10.1007/978-3-0348-0466-0_20 fatcat:p5o4euv7avalpifewb6qkrjbwu

Operations with Nested Named Sets as a Tool forArtificial Intelligence

Mark Burgin
2022 Big Data and Cognitive Computing  
Computing tools of AI include nested levels of parentheses in arithmetical expressions; different types of recursion; nesting of several levels of subroutines; nesting in recursive calls; multilevel nesting  ...  in information hiding; a variety of nested data structures, such as records, objects, and classes; and nested blocks of imperative source code, such as nested repeat-until clauses, while clauses, if clauses  ...  Conflicts of Interest: The author declares no conflict of interest.  ... 
doi:10.3390/bdcc6020037 fatcat:5ht3y4o5szd2bcmqrwfysalmfu

Ordinal Sums of De Morgan Triples

Ivan Mezzomo, Benjamin Bedregal
2018 TEMA  
In this paper we consider the ordinal sum of the summands (a_i, b_i, T_i) ((a_i, b_i, S_i)), where (T_i)_{i\in I}$ $((S_i)_{i\in I}) are a family of t-(co)norms and $(]a_i, b_i[)_{i\in I}$ a family of  ...  In addition, we prove if (T_i, S_i, N_i) is a De Morgan triple satisfy some specific conditions, then (T, S, N) is a semi De Morgan triple.  ...  using t-norms and t-conorms theory.  ... 
doi:10.5540/tema.2018.019.02.181 fatcat:im5ttkekezcnvcrntuwpkuuqra

Page 5969 of Mathematical Reviews Vol. , Issue 97J [page]

1997 Mathematical Reviews  
., there are more than 50 graphs of different t-norms and t-conorms.  ...  It explains the basic notions of fuzzy set theory, such as fuzzy sets, a-levels, t-norms, t-conorms, fuzzy real numbers, fuzzy logic, and the relationship between fuzzy logic and proba- bility (fuzzy sets  ... 

On data fusion in information retrieval using different aggregation operators

Julien Ah-Pine
2011 Web Intelligence and Agent Systems  
This paper is concerned with the problem of unsupervised rank aggregation in the context of metasearch in information retrieval.  ...  In this paper we investigate whether aggregation operators defined in the fields of multi-sensor fusion and multicriteria decision making are of interest for metasearch problems or not.  ...  Then, departing from a t-norm T , we can define its related triangular conorm T * (t-conorm) as follows: T * (a, b) = 1 − T (1 − a, 1 − b) (6) Similarly to t-norms, t-conorms allow one to extend the disjunction  ... 
doi:10.3233/wia-2011-0204 fatcat:cqrkwjdbfzewtp6ye3dgkklleu

Conormal Spaces and Whitney Stratifications [article]

Martin Helmer, Vidit Nanda
2021 arXiv   pre-print
The main ingredients are (a) an algebraic criterion, due to L\^e and Teissier, which reformulates Whitney regularity in terms of conormal spaces and maps, and (b) a new interpretation of this conormal  ...  We show that this algorithm improves upon the existing state of the art by several orders of magnitude, even for relatively small input varieties.  ...  VN is grateful to Mark Goresky and Robert MacPherson for several valuable discussions on the local geometry of singular spaces; his work was supported by EPSRC grant EP/R018472/1 and by DSTL grant D015  ... 
arXiv:2106.14555v1 fatcat:dek66tqpmbba5b4pgtrkqxpdau

S-Fuzzy Left H-Ideal Of Hemirings

D.R Prince Williams
2007 Zenodo  
on hemirings are discussed.The notion of direct product and S-product are introduced and some properties of the direct product and S-product of S-fuzzy left h-ideal of hemiring are also discussed.  ...  collection of left h-ideals of a hemiring, S-fuzzy left h-ideal of hemirings are established.The notion of a finite-valued S-fuzzy left h-ideal is introduced,and its characterization is given.S-fuzzy relations  ...  Proof: The proof is obtained dually by using the notion of t-conorm S instead of t-norm T in [9] .  ... 
doi:10.5281/zenodo.1331666 fatcat:ghubs22cx5gonntn62kvogmbya

Generalized and Customizable Sets inR

David Meyer, Kurt Hornik
2009 Journal of Statistical Software  
Note that the drastic t-norm and t-conorm are the smallest t-norm and largest t-conorm, respectively.  ...  "Zadeh" Zadeh's logic with T = min and S = max. Note that the minimum t-norm, also known as the Gödel t-norm, is the pointwise largest t-norm, and that the maximum t-conorm is the smallest t-conorm.  ... 
doi:10.18637/jss.v031.i02 fatcat:hqx56bfuyjdbjmjh5uzppyexky

Page 4175 of Mathematical Reviews Vol. , Issue 95g [page]

1995 Mathematical Reviews  
The right-hand side can be expressed as a Mellin transform o> exp(—tz) exp(t{)dt. Put s =exp t, ds/s =dt.  ...  ere is 4175 58G Partial differential equations on manifolds; differential operators a nested sequence of normal subgroups --- Gn) C Gn C--- CG satisfying [G : G,,] finite and (),, G,, trivial.  ... 

A monotonic optimization approach for solving strictly quasiconvex multiobjective programming problems

Tran Ngoc Thang, Vijender Kumar Solanki, Tuan Anh Dao, Nguyen Thi Ngoc Anh, Pham Van Hai
2020 Journal of Intelligent & Fuzzy Systems  
After the algorithm is terminated, with any given tolerance, we obtain an approximation of the weakly efficient solution set, that contains the whole weakly efficient solution set of the problem.  ...  Some computational experiments are reported to show the accuracy and efficiency of the proposed algorithm.  ...  Therefore, the compact conormal set Y can be approximated by a family of copolyblocks. Specifically, a nested sequence of copolyblocks is generated that outer-approximates the outcome set Y , i.e.  ... 
doi:10.3233/jifs-179690 fatcat:kwn5qrao6bdrph64e5zbg242te

Estimates for singular radon transforms and pseudodifferential operators with singular symbols

Allan Greenleaf, Gunther Uhlmann
1990 Journal of Functional Analysis  
The Schwart;, kernel of R is KR(trX,S,y)=6(t-s+S(t,x,y))K(t,x,x-y). (2.18) Since 6( ) is a conormal distribution for the origin on [w', and a Calderon-Zygmunl kernel is conormal for the origin in BB",  ...  Let S2 G S, z X be nested manifolds with dim X= n and S,, SZ of ~odimensions d,, dr + d2 in X, respectively.  ... 
doi:10.1016/0022-1236(90)90011-9 fatcat:dae3lagubvgktefdiyzubqqnx4

Page 3308 of Mathematical Reviews Vol. , Issue 89F [page]

1989 Mathematical Reviews  
A nested sequence (1) F!} c 92 c---c D3 c --- of principal fiber spaces can be considered over M,. A nested sequence 7(M,,) C T?  ...  (M,) C --» C T°(M,) C --- of nested tangent bundles can be interpreted as a sequence of nested adjoined fiber spaces (2) M! c---c M2 c---c Mjc.---.  ... 

(DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES

Sushil Sharma, Bhavana Deshpande, Suresh Chouhan
2011 The Pure and Applied Mathematics  
The aim of this paper is to define a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic  ...  We show that a common fixed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping.  ...  t-conorm.  ... 
doi:10.7468/jksmeb.2011.18.3.201 fatcat:fj6tshmxsfb2pgruz7vmcovrwm
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