On the connection between coordinate and diagonal arrangement complements [PDF]
We study diagonal arrangement complements $D(K)$ in $\mathbb{C}^m$. We consider the class of simplicial complexes $K$ in which any two missing faces have a common vertex, and prove that the coordinate arrangement complement $U(K)$ is the double suspension of the diagonal arrangement complement $D(K)$. In the case of subspace arrangements in $\mathbb{R}^
arxiv
On the Laurent coefficients of the Riemann map for the complement of the Mandelbrot set [PDF]
We straighten a result of [5] about arithmetic properties of the Laurent coefficients of the conformal isomorphism from the complement of the unit disk onto the complement of the Mandelbrot set. This confirms an empirical observation by Don Zagier, see [1]
arxiv
The operator of relative complementation [PDF]
By the operator of relative complementation is meant a mapping assigning to every element x of an interval [a,b] of a lattice L the set x^{ab} of all relative complements of x in [a,b]. Of course, if L is relatively complemented then x^{ab} is non-empty for each interval [a,b] and every element x belonging to it.
arxiv
Cactus Graphs and Graphs Complement Conjecture [PDF]
In this paper we proof that any cactus graph satisfies graph complement conjecture by finding a orthogonal representation of its complement in $\mathbb{R}^5$.
arxiv
Null alleles of human complement C4. Evidence for pseudogenes at the C4A locus and for gene conversion at the C4B locus. [PDF]
Lara Braun+4 more
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Localization of a Hydrophobic Binding Site for Anticoagulant Protein S on the β-Chain of Complement Regulator C4b-binding Protein [PDF]
Joanna H. Webb+3 more
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Hyperbolicity of the complement of plane algebraic curves [PDF]
The paper is a contribution of the conjecture of Kobayashi that the complement of a generic plain curve of degree at least five is hyperbolic. The main result is that the complement of a generic configuration of three quadrics is hyperbolic and hyperbolically embedded as well as the complement of two quadrics and a line.
arxiv
Regulation of Complement Classical Pathway by Association of C4b-Binding Protein to the Surfaces of SK-OV-3 and Caov-3 Ovarian Adenocarcinoma Cells [PDF]
Mikko T. Holmberg+2 more
openalex +1 more source
Convergence of Complementable Operators [PDF]
Complementable operators extend classical matrix decompositions, such as the Schur complement, to the setting of infinite-dimensional Hilbert spaces, thereby broadening their applicability in various mathematical and physical contexts. This paper focuses on the convergence properties of complementable operators, investigating when the limit of sequence
arxiv
Complemented subspaces of locally convex direct sums of Banach spaces [PDF]
We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces of countable subsums. As a corollary we prove that a complemented subspace of a locally convex direct sum of arbitrary collection of $\ell_{1}(\Gamma)$-spaces is isomorphic to a ...
arxiv