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The Complexity of Partition Functions
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Andrei A. Bulatov, Martin Grohe
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Exploration of the Conformational Dynamics of Major Histocompatibility Complex Molecules
Major histocompatibility complex (MHC) molecules are loaded with a wide variety of self- and non-self-peptides in their binding grooves and present these to T cell receptors (TCRs) in order to activate the adaptive immune system.
Saeko Yanaka, Kenji Sugase
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$\alpha$-Differentiable functions in complex plane
In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei +3 more
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On the Complexity of Classification Functions [PDF]
A classification function is a multiple-valued input function specified by a set of rules, where each rule is a conjunction of range functions. The function is useful for packet classification for internet, network intrusion detection system, etc. This paper considers the complexity of range functions and classification functions represented by sum-of ...
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The analyticity of double complex variables functions
Due to the complexity of complex functions, many textbooks focus on the nature of univariate variable complex functions, but just simply mention multi-complex variables functions.
GENG Yongcai, CHEN Ling
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Intermediate rings of complex-valued continuous functions
For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection of all the rings that lie between C ...
Amrita Acharyya +3 more
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On Complex Gamma-Function Integrals [PDF]
It was observed recently that relations between matrix elements of certain operators in the ${\rm SL}(2,\mathbb R)$ spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with ${\rm SL}(2,\mathbb C)$ symmetry group and ${\rm L}_2(\mathbb C)$ as a local Hilbert space give rise to a new type of $Γ ...
Derkachov, Sergey É. +1 more
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Functions correspond to one of the key concepts in mathematics and science, allowing the representation and modeling of several types of signals and systems. The present work develops an approach for characterizing the coverage and interrelationship between discrete signals that can be fitted by a set of reference functions, allowing the definition of ...
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Topologies of Complex Networks: Functions and Structures [PDF]
During the last decade, significant efforts have been made toward improving our understanding of the topological structures underlying complex networks and illuminating some of the intriguing large-scale properties exhibited by these systems.
Li, Lun
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On the Complexity of Real Functions [PDF]
We develop a notion of computability and complexity of functions over the reals, which seems to be very natural when one tries to determine just how "difficult" a certain function is. This notion can be viewed as an extension of both BSS computability [Blum, Cucker, Shub, Smale 1998], and bit computability in the tradition of computable analysis ...
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