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Generic degrees are complemented

1993
*
Annals of Pure and Applied Logic
*

For a

doi:10.1016/0168-0072(93)90096-v
fatcat:l533jd3bkbdoxkcireg46avnku
*degree*a, we say D(%z) is*complemented*if for every b < a there is a c such that b fl c = 0 and b U c = a. We prove that D(<u) is*complemented*for any 2-*generic**degree*a. ... For each n a 2, any n-*generic**degree*a, and any nonrecursive*degree*b < a, there*are*n-*generic**degree*c < a and n-*generic**degree*d < b such that e U f = a and e tl f = 0 for any nonrecursive*degree*e s ...##
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Reformulated Reciprocal Degree Distance and Reciprocal Degree Distance of the Complement of the Mycielskian Graph and Generalized Mycielskian

2019
*
Mathematical Problems in Engineering
*

In this paper, we present the reciprocal

doi:10.1155/2019/3764981
fatcat:itji4ewr45ah3kpenjysdk6dwm
*degree*distance index of the*complement*of Mycielskian graph and*generalize*the corresponding results to the*generalized*Mycielskian graph. ... The reformulated reciprocal*degree*distance is defined for a connected graph G as R¯t(G)=(1/2)∑u,υ∈VG((dG(u)+dG(υ))/(dG(u,υ)+t)),t≥0, which can be viewed as a weight version of the t-Harary index; that ...*Complement*of the*Generalized*Mycielskian Graph In this section, we obtain the reformulated reciprocal*degree*distance and reciprocal*degree*distance of the graph ( ). ...##
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Ideals of curves given by points
[article]

2012
*
arXiv
*
pre-print

In particular if I can be

arXiv:1202.6493v1
fatcat:6o3y6hlkebhlld6whnt6yjcwse
*generated*by polynomials of*degree*at most m and we*are*given md + 1 points on C, then we can find a set of*generators*for I. ... We wish to compute*generators*for I, assuming we*are*given sufficiently many points on the curve C. ... In particular if I can be*generated*by polynomials of*degree*at most m and we*are*given at least md+ 1 points on C, then we can find a set of*generators*for I. ...##
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Properties of the jump classes

2010
*
Journal of Logic and Computation
*

All

doi:10.1093/logcom/exq047
fatcat:xapd32zx3fbonpqyupmvvb3udi
*generalized*high*degrees*satisfy the*complementation*property. ... While it is immediately clear that no ∆ 0 2*degree*can*complement*all other nonzero and incomplete ∆ 0 2*degrees*, one might hope that some version of this theorem might hold for the ∆ 0 2*degrees*in*general*...##
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Lattice Complements and the Subadditivity of Syzygies of Simplicial Forests
[article]

2016
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arXiv
*
pre-print

For such an ideal I, if the i-th Betti number is nonzero and i=a+b, we show that there

arXiv:1605.07727v1
fatcat:5fbjjzfckbhqxaxeib2adeglyu
*are*monomials in the lcm lattice of I that*are**complements*in part of the lattice, each supporting a nonvanishing ... We prove the subadditivity property for the maximal*degrees*of the syzygies of facet ideals simplicial forests. ... 1, 2, 3 for a monomial ideal*generated*in*degree*2 (Abedelfatah and Nevo [AN] ). ...##
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Hyperbolic surfaces in P^3: examples
[article]

2004
*
arXiv
*
pre-print

This is a recent conference report on the Kobayashi Problem on hyperbolicity of

arXiv:math/0311394v3
fatcat:enh3kehhrjgk5kfbyhw45b6goy
*generic*projective hypersurfaces. ... Thus the hyperbolicity of the*complement*of a*generic*plane curve of*degree*d is still to be established for 5 ≤ d ≤ 12. ... THEOREM , d ≥ 10 6 ; El Goul [EG] ): For a very*generic*curve C ⊂ P 2 of*degree*d ≥ 13 the*complement*P 2 \ C is hyperbolic. ...##
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Obstructions on fundamental groups of plane curve complements
[article]

2007
*
arXiv
*
pre-print

Also included

arXiv:math/0703008v1
fatcat:qxcpdxmpznfahcrmjr6aq4xfnu
*are*some new computations of higher-order*degrees*of curves, which*are*invariants defined in a previous paper of the authors. ... We survey various Alexander-type invariants of plane curve*complements*, with an emphasis on obstructions on the type of groups that can arise as fundamental groups of*complements*to complex plane curves ... It follows that all higher-order*degrees**are*trivial for curves whose*complements*have the above fundamental groups. ...##
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A Modified Intuitionistic Fuzzy Clustering Approach for Sclera Segmentation

2021
*
SN Computer Science
*

How legitimate these transactions

doi:10.1007/s42979-021-00722-5
fatcat:iap3mi3ltbbhfl5hnccs6ka3ka
*are*, is the question of the hour. Biometric-enabled transactions have gained popularity. ... The experimentation results reveal that the proposed work*complements*the other existing methods and variants of Fuzzy C-Means. ... In literature, there*are*two widely used intuitionistic fuzzy*complement**generators*namely Sugeno's [17] and Yager's [18] . ...##
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The syntactic flexibility of adverbs: French degree adverbs

2003
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Proceedings of the International Conference on Head-Driven Phrase Structure Grammar
*

While French

doi:10.21248/hpsg.2003.2
fatcat:p6mh3amh6jhgxm3dg4eghli52y
*degree*words in French have been assigned several syntactic categories, we show that they*are*rather highy polymorphic adverbs (they occur in all syntactic domains), which select the expression ... Like French adverbs in*general*, they occur both to the left and to the right of the head they modify. ... adverbs The lightness constraint on ordering applies to*complements*in*general*. ...##
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Higher-order Alexander invariants of plane algebraic curves

2006
*
International mathematics research notices
*

We show that for curves in

doi:10.1155/imrn/2006/12976
fatcat:7jk4w5rgi5cpxc7cbkfsvklzsy
*general*position at infinity, the higherorder*degrees**are*finite. ... We define new higher-order Alexander modules A n (C) and higher-order*degrees*δ n (C) which*are*invariants of the algebraic planar curve C. ... The*degrees*δ n (C)*are*integral invariants of the fundamental group G of the*complement*. Indeed, we have (cf. ...##
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Familial occurrence of complement dysfunction in Crohn's disease: correlation with intestinal symptoms and hypercatabolism of complement

1985
*
Gut
*

*Complement*was studied in Crohn's disease probands with early onset and in their first

*degree*relatives. ... As previously shown in patients with Crohn's disease, the subnormal

*generation*was related to decreased utilisation of

*complement*C3 in relatives. ... A similar defect of

*complement*was revealed in six of their 33 first

*degree*relatives. ...

##
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On the Complements of Partial k-Trees
[chapter]

1999
*
Lecture Notes in Computer Science
*

In particular, we show that the

doi:10.1007/3-540-48523-6_35
fatcat:x7zgclwgcfh2jftmqhbzvbamli
*complements*of partial k-trees provide an intuitively-appealing characterization of partial k-tree obstructions. ... k + 4-Obstructions In dealing with*complements*and witnesses for cowidth 4, it is useful to de ne low-*degree*as*degree*2 or less, and high-*degree*as*degree*3 or more. ... It is straightforward to show that these obstruction*complements*contain no degreezero or*degree*-one vertices; the low-*degree*vertices must therefore have*degree*two. ...##
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Excessive Extent in Cognition—A Contrastive Study on Mandarin and English

2011
*
Journal of Language Teaching and Research
*

Afterwards, English excessive

doi:10.4304/jltr.2.5.1015-1022
fatcat:5f3jobjyzfh67gmkreqhhgiz2u
*degree*adverbs would be examined to see if the*generation*works universally. ... Coping with Mandarin excessive construction, the present paper first tries to figure out the possible*generation*linking excessive*complements*with excessive extent. ... The aim of the study is to find out the features shared by the lexical terms which*are*further grammaticalized to excessive*complements*, so the*degree*of*generalization*is not influential. IV. ...##
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Hyperbolic hypersurfaces in $\mathbb P^n$ of Fermat-Waring type

2001
*
Proceedings of the American Mathematical Society
*

Moreover, there

doi:10.1090/s0002-9939-01-06417-6
fatcat:dh4vicpfprfjdhl2jb34breuki
*are*hyperbolic Fermat-Waring hypersurfaces in P n of*degree*4n 2 − 2n + 1 possessing complete hyperbolic, hyperbolically embedded*complements*. ... In this note we show that there*are*algebraic families of hyperbolic, Fermat-Waring type hypersurfaces in P n of*degree*4(n−1) 2 , for all dimensions n ≥ 2. ... Kobayashi that*generic*hypersurfaces in P n of (presumably)*degree*2n − 1*are*hyperbolic (for n = 3, see [DeEl] and [Mc] ). ...##
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Higher-order Alexander invariants of plane algebraic curves
[article]

2005
*
arXiv
*
pre-print

We show that for curves in

arXiv:math/0509462v2
fatcat:kx2ijccbvnhzjm32dbsb2yo4q4
*general*position at infinity, the higher-order*degrees**are*finite. ... We define new higher-order Alexander modules A_n(C) and higher-order*degrees*δ_n(C) which*are*invariants of the algebraic planar curve C. ... The*degrees*δ n (C)*are*integral invariants of the fundamental group G of the*complement*. ...
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