Results 31 to 40 of about 117,870 (310)
Differentiation of sets – The general case
In recent work by Khmaladze and Weil (2008) and by Einmahl and Khmaladze (2011), limit theorems were established for local empirical processes near the boundary of compact convex sets $K$ in $\R$. The limit processes were shown to live on the normal cylinder $Σ$ of $K$, respectively on a class of set-valued derivatives in $Σ$.
Khmaladze, E. V., Weil, W.
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Generalized integrals and differential equations [PDF]
The paper contains proofs of theorems previously stated by the author \textit{H. Lewy} [Proc. Natl. Acad. Sci. USA 22, 377--381 (1936; Zbl 0014.21704)], which are quoted as theorems 1., 2., and 3. The last theorem may be stated here in detail: Given the system \[ \begin{array}{lr} \sum_{j=1}^{n} a_{i j}\left(\Phi_{1}, \ldots, \Phi_{n}\right) \frac ...
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A Note on Wright-type Generalized q-hypergeometric Function
In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
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Introduction: First episode and drug naive schizophrenia (SZ) patients comorbid with major depressive episode and generalized anxiety disorder (GAD) comorbid with major depressive disorder (MDD) are common in clinical practice, overlapping symptomatology
Lingming Kong +3 more
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Diversity and complexity in neural organoids
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
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In this paper, the direct differentiation of generalized-α time integration is derived, equations are introduced and results are shown. Although generalized-α time integration has found usage, the derivation and the resulting equations for the analytical
Erich Wehrle, Veit Gufler
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ITERATIVE ALGORITHMS FOR NUMERICAL SOLUTION OF TRANSFER BASED GENERALIZED DIFFERENTIAL OPERATORS
The new approach to construction of the operator of generalized differentiation and development on the basis of the iterative algorithm for the model of substance transport in the atmosphere.
Igor Eduardovich Naac +1 more
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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