Results 71 to 80 of about 849,592 (288)

Exponential Formulas and Lie Algebra Type Star Products

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Given formal differential operators $F_i$ on polynomial algebrain several variables $x_1,...,x_n$, we discuss finding expressions $K_l$ determined by the equation $exp(sum_i x_i F_i)(exp(sum_j q_j x_j)) = exp(sum_l K_l x_l)$ and their applications.
Dragutin Svrtan, Zoran Škoda, Stjepan Meljanac, Stjepan Meljanac, Zoran Škoda, Dragutin Svrtan   +5 more
doaj   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Solvability of multipoint differential operators of first order

Electronic Journal of Differential Equations, 2015
Based on methods of operator theory, we describe all boundedly solvable extensions of the minimal operator generated by a linear multipoint functional differential-operator expression of first order, in a direct sum of Hilbert space of vector ...
Zameddin I. Ismailov, Pembe Ipek
doaj  

A New Symmetric Expression of Weyl Ordering

, 2004
For the creation operator $\adag $ and the annihilation operator $a$ of a harmonic oscillator, we consider Weyl ordering expression of $(\adag a)^n$ and obtain a new symmetric expression of Weyl ordering w.r.t. $\adag a \equiv N$ and $a\adag =N+1$ where $
Green H. S., Hirshfeld A. C., Jordan C., Kashiwa T., KAZUYUKI FUJII, Omori H., Riordan J., TATSUO SUZUKI   +7 more
core   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Accretive and nonnegative perturbations of an abstract analogy for the operator of the third boundary problem and corresponding variational problems(in Ukrainian) [PDF]

Математичні Студії, 2011
In the paper the role of initial object is played by the positively definite operator L_0 acting in a Hilbert space H. The main object of the investigation is operator L B: It is interpreted as a perturbation of some proper extension of L0. Using methods
H. M. Kachurivska, O. G. Storozh
doaj  

Expressive Power and Intensional Operators

Journal of Logic, Language and Information
AbstractIn Entities and Indices, M. J. Cresswell argued that a first-order modal language can reach the expressive power of natural-language modal discourse only if we give to the formal language a semantics with indices containing infinite possible worlds and we add to it an infinite collection of operators $${{\varvec{actually}}}_n$$
Pablo Cubides Kovacsics, David Rey
openaire   +1 more source

Functions of linear operators: Parameter differentiation

, 1999
We derive a useful expression for the matrix elements $[\frac{\partial f[A(t)]}{\partial t}]_{i j}$ of the derivative of a function $f[A(t)]$ of a diagonalizable linear operator $A(t)$ with respect to the parameter $t$. The function $f[A(t)]$ is supposed
Constantino Tsallis, Domingo Prato, Poincare H.   +2 more
core   +2 more sources

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

FEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas, Porter L. Tomsick, Alicia M. Pickrell, Paul D. Morton   +3 more
wiley   +1 more source

Operational semantics: Concepts and their expression [PDF]

Information Processing Letters, 2003
One of the earliest approaches to giving formal semantics for programming languages was ``operational semantics''. Enthusiasm for this approach has waxed and waned. The main objective of this paper is to tease apart some concepts involved in writing such operational descriptions and (as separately as possible) to discuss useful notations.
openaire   +2 more sources