Results 71 to 80 of about 4,689,287 (347)

A Functional Calculus for Quotient Bounded Operators [PDF]

open access: yesSurveys in Mathematics and its Applications, 2006
If (X, P) is a sequentially locally convex space, then a quotient bounded operator T beloging to QP is regular (in the sense of Waelbroeck) if and only if it is a bounded element (in the sense of Allan) of algebra QP.
Sorin Mirel Stoian
doaj  

Functional Calculus in Hölder-Zygmund Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 2002
In this paper we characterize those functions f f of the real line to itself such that the nonlinear superposition operator T f T_{f} defined by T f [ g ] := f ∘ g T_{f}[ g]:
BOURDAUD G.   +1 more
openaire   +3 more sources

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

open access: yesFEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka   +11 more
wiley   +1 more source

Beyond the spectral theorem: Spectrally decomposing arbitrary functions of nondiagonalizable operators

open access: yesAIP Advances, 2018
Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
doaj   +1 more source

Typing weak MSOL properties [PDF]

open access: yesLogical Methods in Computer Science, 2017
We consider lambda-Y-calculus as a non-interpreted functional programming language: the result of the execution of a program is its normal form that can be seen as the tree of calls to built-in operations.
Sylvain Salvati, Igor Walukiewicz
doaj   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

open access: yesFEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva   +10 more
wiley   +1 more source

The Fractional Differential Polynomial Neural Network for Approximation of Functions

open access: yesEntropy, 2013
In this work, we introduce a generalization of the differential polynomial neural network utilizing fractional calculus. Fractional calculus is taken in the sense of the Caputo differential operator.
Rabha W. Ibrahim
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Global Exponential Stability of Delayed Cohen-Grossberg BAM Neural Networks with Impulses on Time Scales

open access: yesJournal of Inequalities and Applications, 2009
Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium ...
Yongkun Li, Yuchun Hua, Yu Fei
doaj   +2 more sources

Enabling quaternion derivatives: the generalized HR calculus [PDF]

open access: yesRoyal Society Open Science, 2015
Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective
Dongpo Xu   +3 more
doaj   +1 more source

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