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Complex Function Differentiability [PDF]

open access: yesFormalized Mathematics, 2009
Complex Function Differentiability For a complex valued function defined on its domain in complex numbers the differentiability in a single point and on a subset of the domain is presented. The main elements of differential calculus are developed. The algebraic properties of differential complex functions are shown.
Chanapat Pacharapokin   +3 more
openaire   +3 more sources

hSSB1 interacts directly with the MRN complex stimulating its recruitment to DNA double-strand breaks and its endo-nuclease activity [PDF]

open access: yes, 2011
hSSB1 is a recently discovered single-stranded DNA binding protein that is essential for efficient repair of DNA double-strand breaks (DSBs) by the homologous recombination pathway.
Dinoop Menon   +16 more
core   +3 more sources

Exploration of the Conformational Dynamics of Major Histocompatibility Complex Molecules

open access: yesFrontiers in Immunology, 2017
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
doaj   +1 more source

$\alpha$-Differentiable functions in complex plane

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
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
doaj   +1 more source

On the Complexity of Classification Functions [PDF]

open access: yes38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008
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 ...
openaire   +2 more sources

On Complex Gamma-Function Integrals [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2020
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
openaire   +5 more sources

The analyticity of double complex variables functions

open access: yes上海师范大学学报. 自然科学版, 2023
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
doaj   +1 more source

hSSB1 rapidly binds at the sites of DNA double-strand breaks and is required for the efficient recruitment of the MRN complex [PDF]

open access: yes, 2010
hSSB1 is a newly discovered single-stranded DNA (ssDNA)-binding protein that is essential for efficient DNA double-strand break signalling through ATM. However, the mechanism by which hSSB1 functions to allow efficient signalling is unknown.
Cubeddu, Liza (R16726)   +33 more
core   +2 more sources

Intermediate rings of complex-valued continuous functions

open access: yesApplied General Topology, 2021
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
doaj   +1 more source

On the Complexity of Real Functions [PDF]

open access: yes46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05), 2005
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 ...
openaire   +4 more sources

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