Results 81 to 90 of about 481,122 (286)
Modular anomaly of BPS black holes
Journal of High Energy PhysicsGenerating functions of BPS indices, counting states of D4-D2-D0 black holes in Calabi-Yau compactifications of type IIA string theory and identified with rank 0 Donaldson-Thomas invariants, are examples of mock modular forms.
Sergei Alexandrov, Khalil Bendriss
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On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions
Axioms, 2015 In this article, we move back almost 200 years to Christoph Gudermann, the great expert on elliptic functions, who successfully put the twelve Jacobi functions in a didactic setting. We prove the second hyperbolic series expansions for elliptic functions
Thomas Ernst
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FEBS Open Bio, EarlyView.Clinical analysis reveals significant dysregulation of FGFRL1 in esophageal cancer (EC) patients. RNAi‐coupled next‐generation sequencing (NGS) and in vitro study reveal FGFRL1‐mediated EC progression via EMT, PI3K/Akt, and Notch pathways. Functional assays confirm its role in tumor growth, migration, and invasion.
Aprajita Srivastava +3 more
wiley +1 more source
Theory of multivariable Bessel functions and elliptic modular functions
Le Matematiche, 1998 The theory of multivariable Bessel functions is exploited to establish further links with the elliptic functions. The starting point of the present investigations is the Fourier expansion of the theta functions, which is used to derive an analogous ...
G. Dattoli, A. Torre, S. Lorenzutta
doaj
Modularity in d > 2 free conformal field theory
Journal of High Energy PhysicsWe derive new closed form expressions for the partition functions of free conformally-coupled scalars on S 2D−1 × S 1 which resum the exact high-temperature expansion.
Yang Lei, Sam van Leuven
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Functional Annotation of Hierarchical Modularity
PLoS ONE, 2012 In biological networks of molecular interactions in a cell, network motifs that are biologically relevant are also functionally coherent, or form functional modules. These functionally coherent modules combine in a hierarchical manner into larger, less cohesive subsystems, thus revealing one of the essential design principles of system-level cellular ...
Kanchana Padmanabhan +2 more
openaire +4 more sources
FEBS Open Bio, EarlyView.CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point +7 more
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Constraining quantum fields using modular theory
Journal of High Energy Physics, 2019 Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states.
Nima Lashkari
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On $b$-Whittaker functions [PDF]
, 2018 The $b$-Whittaker functions are eigenfunctions of the modular $q$-deformed $\mathfrak{gl}_n$ open Toda system introduced by Kharchev, Lebedev, and Semenov-Tian-Shansky.
Schrader, Gus, Shapiro, Alexander
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FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source