Results 71 to 80 of about 1,286,443 (317)

Higher-Loop Integrability in N=4 Gauge Theory [PDF]

open access: yes, 2004
The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of novel integrable
Beisert, N.
core   +1 more source

Applications of Hilbert Module Approach to Multivariable Operator Theory

open access: yes, 2014
A commuting $n$-tuple $(T_1, \ldots, T_n)$ of bounded linear operators on a Hilbert space $\clh$ associate a Hilbert module $\mathcal{H}$ over $\mathbb{C}[z_1, \ldots, z_n]$ in the following sense: \[\mathbb{C}[z_1, \ldots, z_n] \times \mathcal{H ...
A. Arias   +70 more
core   +1 more source

Evolutionary interplay between viruses and R‐loops

open access: yesFEBS Letters, EarlyView.
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi   +4 more
wiley   +1 more source

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

open access: yesJournal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen   +2 more
doaj   +1 more source

Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device

open access: yesFractal and Fractional, 2023
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus.
Ryota Kochi, Mingcong Deng
doaj   +1 more source

On dilatation operator for a renormalizable theory

open access: yes, 2007
Given a renormalizable theory we construct the dilatation operator, in the sense of generator of RG flow of composite operators. The generator is found as a differential operator acting on the space of normal symbols of composite operators in the theory.
A. Zaffaroni   +19 more
core   +1 more source

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

open access: yesMolecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini   +11 more
wiley   +1 more source

On modified Dunkl generalization of Szász operators via q-calculus

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen   +2 more
doaj   +1 more source

New Ansatz for Metric Operator Calculation in Pseudo-Hermitian Field Theory

open access: yes, 2009
In this work, a new ansatz is introduced to make the calculations of the metric operator in Pseudo-Hermitian field theory simpler. The idea is to assume that the metric operator is not only a functional of the field operators $\phi$ and its conjugate ...
Shalaby, Abouzeid M.
core   +1 more source

KRAS and GNAS mutations in cell‐free DNA and in circulating epithelial cells in patients with intraductal papillary mucinous neoplasms—an observational pilot study

open access: yesMolecular Oncology, EarlyView.
This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke   +12 more
wiley   +1 more source

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