Results 81 to 90 of about 212,516 (270)

Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions

Journal of Applied Mathematics, 2012
Based on the theories of Ramanujan's elliptic functions and the (p, k)-parametrization of theta functions due to Alaca et al. (2006, 2007, 2006) we derive certain Eisenstein series identities involving the Borweins' cubic theta functions with the help of
Ernest X. W. Xia, Olivia X. M. Yao
doaj   +1 more source

Shaping of Biohybrid Functional Living Materials

Advanced Functional Materials, EarlyView.
This work demonstrates a strategy for shaping living mycelium into functional materials by directing its natural growth. Nanoparticles armor hyphae, micron‐scale particles entangle within the network, and printed hydrogel architectures steer expansion, creating defined geometries.
Sarah Schyck, Mark Ablonczy, Sourav Patranabish, Kunal Masania   +3 more
wiley   +1 more source

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj   +1 more source

Thermo‐Mechanically Recyclable Smart Textiles from Circularly Knitted Liquid Crystal Elastomer Fibers

Advanced Functional Materials, EarlyView.
Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan, Tongxiang Deng, Linda Plaude, Bo Gao, Siyao Chen, Fabien Sorin, Kaspar M. B. Jansen, Kun Zhou, Albert P. H. J. Schenning   +8 more
wiley   +1 more source

Parallel 3D Bioprinting on SLIPS‐Microarrays

Advanced Functional Materials, EarlyView.
This work introduces the first truly parallel 3D bioprinting method, enabling both the simultaneous fabrication of hundreds of cell laden hydrogel 3D structures and their HTS in individual liquid compartments. By integrating Digital Light Processing (DLP) stereolithography with functional micropatterns, the platform decouples printing time from array ...
Julius von Padberg, Julian A. Serna, Maike Schliephake, Pavel A. Levkin   +3 more
wiley   +1 more source

Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism

Journal of High Energy Physics, 2018
We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms, we construct our set of integration kernels ensuring that they have ...
Johannes Broedel, Claude Duhr, Falko Dulat, Lorenzo Tancredi   +3 more
doaj   +1 more source

Amyloidogenic Peptide Fragments Designed From Bacterial Collagen‐like Proteins Form Hydrogel

Advanced Functional Materials, EarlyView.
This study identified amyloidogenic sequence motifs in bacterial collagen‐like proteins and exploited these to design peptides that self‐assemble into β‐sheet fibers and form hydrogels. One hydrogel supported healthy fibroblast growth, showing promise for biocompatible materials. Our work demonstrates that bacterial sequences can be harnessed to create
Vamika Sagar, Xuen J Ng, Lukas Lechel, Ashish Chand Rajwar, Hendrik Bargel, Abhishek A. Jalan   +5 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  

Structure Formation in Butterfly Scales: Interplay of Genetic Control, Mechanical Instabilities, and Dynamic Material Properties

Advanced Functional Materials, EarlyView.
Butterfly wing scales are intricate cuticular functional nanosctructures. This perspective suggests that spatially varying material properties, cytoskeletal constraints, and growth‐driven mechanical instabilities shape the resulting nanoscale architectures created from single cells.
Anupama Prakash, Victoria Lloyd, Yi Yang, Anna‐Lee Jessop, Anthony McDougal, Primož Pirih, Guillaume Duclos, Andrew Parnell, Mathias Kolle, Nicola J. Nadeau, Bodo D. Wilts   +10 more
wiley   +1 more source

Squashed toric manifolds and higher depth mock modular forms

Journal of High Energy Physics, 2019
Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region.
Rajesh Kumar Gupta, Sameer Murthy, Caner Nazaroglu   +2 more
doaj   +1 more source