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Analytic cohomology groups in top degrees of Zariski open sets in $${\mathbb{P}^n}$$

Gabriel Chiriacescu, Mihnea Colţoiu, Cezar Joiţa
2009 Mathematische Zeitschrift  
Matsumoto [13] in the study of cohomologic convexity of some open sets in complex manifolds which are finite intersection of q-complete open sets.  ...  It follows from Proposition 1 that the canonical comparison map in degree n − 2, between the algebraic and analytic cohomology, is surjective.  ... 
doi:10.1007/s00209-009-0484-0 fatcat:xtr6wxwbanfr7hr72xwgqrdrw4

Are the Validities of Modal Logic Analytic? Or Analyticity Again, through Information, Proof, Modal Logic and Hintikka

Francesca Poggiolesi
2015 Philosophia Scientiæ  
Hence, for each basic maximal consistent set, there is exactly one modal constituent of degree 1 that is a logical consequence of it.  ...  sets.  ... 
doi:10.4000/philosophiascientiae.1110 fatcat:5cigo4ctmnejhgmebtojwfd3pa

A Duality in Interpolation to Analytic Functions by Rational Functions

J. L. Walsh
1933 Proceedings of the National Academy of Sciences of the United States of America  
However, the prospects of carrying this treatment to a higher degree of approximation are not very favorable.  ...  If the function f(z) is analytic for z I < R, then the sequence of VOL. 19, 1933VOL. 19, 1049  ...  (z), and that a function q(t) analytic on the complementary set can be developed in terms of the q. (t).  ... 
doi:10.1073/pnas.19.12.1049 pmid:16587824 pmcid:PMC1086281 fatcat:p745x7thpzf4ngfaxrfcbo4uiu

On semialgebraic points of definable sets

Artur Piękosz
1998 Banach Center Publications  
We prove that the semialgebraic, algebraic, and algebraic nonsingular points of a definable set in o-minimal structure with analytic cell decomposition are definable.  ...  Moreover, the operation of taking semialgebraic points is idempotent and the degree of complexity of semialgebraic points is bounded.  ...  Krzysztof Kurdyka, Janusz Gwoździewicz, Andrzej Lenarcik and Wies law Paw lucki for their valuable remarks, and The Fields Institute for invitation and supporting his stay in Toronto, where definability of  ... 
doi:10.4064/-44-1-189-193 fatcat:iywvqe6ufbdxhep6lg5cipivd4

On Compact Complex Analytic Varieties

Wei-Liang Chow
1949 American Journal of Mathematics  
Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission.  ...  The Johns Hopkins University Press is collaborating with JSTOR to digitize, preserve and extend access to American Journal of Mathematics.  ...  Since, according to Theorem I, each set U(I) is an everywhere dense open set in P, it follows that (2 is also an everywhere dense set in P. J=1 evidently the degree of the analytic cycle Zr.  ... 
doi:10.2307/2372375 fatcat:mfvjxyufavggnho27rlwcnrkuu

Representations of Analytic Functions and Weihrauch Degrees [chapter]

Arno Pauly, Florian Steinberg
2016 Lecture Notes in Computer Science  
-Dbnd C ω (D) , that is: Given an analytic function which is a polynomial, find an upper bound of its degree. deg C ω (D) : Given an analytic function which is a polynomial, find its degree. Proof.  ...  -Dbnd C(D) : Given an analytic function which is a polynomial, find an upper bound of its degree.  ... 
doi:10.1007/978-3-319-34171-2_26 fatcat:aukiezj5obew7cm5htanszvziy

Page 495 of Mathematical Reviews Vol. , Issue 80B [page]

1980 Mathematical Reviews  
This relationship, the boldface version of Kleene’s relative re- cursiveness, defines a degree structure on the analytic sets, and the equivalence classes are called S-degrees.  ...  The author’s main theorem is that if S and‘T are analytic sets with S<T then there are 2° analytic non-Borel sets whose S-de- grees are intermediate between the S-degrees of S and T and which are pairwise  ... 

Page 82 of Mathematical Reviews Vol. 37, Issue 1 [page]

1969 Mathematical Reviews  
Let M be a set of type (A). Consider a function f(z) which is continuous on M and analytic in the interior of M.  ...  If P is effective and if f is analytic on #,, then the co- efficients A, in (*) are unique. Let {S,} be a sequence of polynomials (S,, is of degree n).  ... 

Optical in-band crosstalk monitor placement using Partial Set Cover model

H. Vosough, S. C. Tan, C. K. Ho
2012 IEICE Communications Express  
The numerical results showed that heuristic parameters, Interference Rate (IR) and Highest Crosstalk Analytical Value which are computed during network operation, outperform parameters, highest degree  ...  In this paper, switch induced in-band crosstalk impairment is used for evaluating the number of monitoring devices with respect to the amount of reported monitoring information in items of optical signal  ...  Given set of node's Crosstalk Analytical Value as input, the algorithm returns a covering set whose elements have highest Crosstalk Analytical Value.  ... 
doi:10.1587/comex.1.78 fatcat:btukzwm72zckfffzf77koxvpga

Page 1622 of Neural Computation Vol. 8, Issue 8 [page]

1996 Neural Computation  
As expected, the cell has a CD of 1 degree, which is marked by the vertical line in the figure. The above set of parameters was chosen for illustrative purposes.  ...  Other sets of parameters work equally well. For example, to model a parafoveal cell with small RFs, we could scale down the above set of parameters by a factor of, say, 10.  ... 

Page 673 of Annals of Mathematics Vol. 37, Issue 3 [page]

1936 Annals of Mathematics  
Given any function f of class C’ in R, set (29.1) ey(c)= DO a (x — a); Zz. kl This is the polynomial of degree S s approximating to f most closely at a.  ...  Then there is an analytic linear (R, Ey, r, A, ¢)- functional &; moreover, & is defined for any polynomial P of degree < s, and ep = P.  ... 

Dominating Scale-Free Networks Using Generalized Probabilistic Methods

F. Molnár,, N. Derzsy, É. Czabarka, L. Székely, B. K. Szymanski, G. Korniss
2014 Scientific Reports  
We analyze both analytical upper bounds of dominating sets and numerical realizations for applications.  ...  One of them obtains the smallest probabilistic dominating set and also outperforms the deterministic degree-ranked method.  ...  Nguyen for preparing the network-structure files used in this research from the Flickr and Foursquare data sets. This work was supported in part by grant No.  ... 
doi:10.1038/srep06308 pmid:25200937 pmcid:PMC4158322 fatcat:edwcb5ivl5dx5kdlfh6tufcd4e

Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables [article]

Michael A. Dritschel
2022 arXiv   pre-print
at most 2d_2 analytic polynomials with degrees at most (d_1, 2d_2-1).  ...  It is shown using Schur complement techniques that a non-negative operator valued trigonometric polynomial in two variables with degree (d_1,d_2) can be written as a finite sum of hermitian squares of  ...  ) is an outer analytic operator of the same degree d as T .  ... 
arXiv:1811.06005v3 fatcat:isrcirgqdvg6bg2syv4f2qhvai

Rational interpolation and best rational approximation

Johan Karlsson
1976 Journal of Mathematical Analysis and Applications  
A relation between the degree of convergence (in capacity) of Pad& approximants and the degree of best rational approximation is derived for functions in GonEar's class R, .  ...  THEOREM 1 . 1 Let f E R,@(n)) and let f be analytic on a compact set E somewhere in the domain of generalized analytic continuation off.  ...  As we have already pointed out, the class R, contains all functions analytic except on a set of zero capacity.  ... 
doi:10.1016/0022-247x(76)90143-8 fatcat:di7e6zchv5hmvdft5dn2ns3otq

On Convergence of Interpolation to Analytic Functions

Du Jinyuan, Liu Hua
2002 Journal of Approximation Theory  
In the present paper, both the perfect convergence for the Lagrange interpolation of analytic functions on [ − 1, 1] and the perfect convergence for the trigonometric interpolation of analytic functions  ...  n , where T n f is the Taylor polynomial of degree (n − 1) of f at the point x 0 .  ...  ||L P n f − T n f||=0 where T n f is the Taylor polynomial of degree (n − 1) of f at x 0 , then f| [ − 1, 1) has an analytic continuation into B(x 0 , 1+|x 0 |) for x 0 ¥ [ − 1, 0), f| (−1, 1] has an analytic  ... 
doi:10.1006/jath.2001.3633 fatcat:oqn75xzzmfbyfbit5chty4cwte
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