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Microlocal analysis of scattering data for nested conormal potentials
[article]
2011
arXiv
pre-print
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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
2012
Journal of Functional Analysis
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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]
2012
Microlocal Methods in Mathematical Physics and Global Analysis
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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
2022
Big Data and Cognitive Computing
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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
2018
TEMA
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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
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., 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
2011
Web Intelligence and Agent Systems
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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]
2021
arXiv
pre-print
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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
2007
Zenodo
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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
2009
Journal of Statistical Software
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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
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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
2020
Journal of Intelligent & Fuzzy Systems
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2020 pre-print arXiv:2003.07549v1 fatcat:bukwzy7jyncmle5hy7h5puecxmOther Versions
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
1990
Journal of Functional Analysis
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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
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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
2011
The Pure and Applied Mathematics
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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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