Common trends in model order reduction of large nonlinear finite-element-discretized systems involve the introduction of a linear mapping into a reduced set of unknowns, followed by Galerkin projection of the governing equations onto a constant reduction basis. Though this reduces the number of unknowns in the system, the computational cost for obtaining the solution could still be high due to ...

Sperm hyper-activation is a dramatic change in sperm behavior where mature sperm burst into a final sprint in the race to the egg. The mechanism of sperm hyper-activation in many metazoans, including humans, consists of a jolt of Ca2+ into the sperm flagellum via CatSper ion channels. Surprisingly, all nine CatSper genes have been independently lost in several animal lineages. In Drosophila, sp...

Brain connectivity network has been used for diagnosis and classification of neurodegenerative diseases, such as Alzheimer's disease (AD) as well as its early stage, i.e., mild cognitive impairment (MCI). However, conventional connectivity network is usually constructed based on the pairwise correlation among brain regions and thus ignores the higher-order relationship among them. Such informat...

We prove an analog of the Tian-Todorov theorem for twisted generalized Calabi-Yau manifolds; namely, we show that the moduli space of generalized complex structures on a compact twisted generalized Calabi-Yau manifold is unobstructed and smooth. We also construct the extended moduli space and study its Frobenius structure. The physical implications are also discussed. CALT-68-2569

Multiple antennas at transmitter and receiver can be used to improve communication efficiency by canceling channel noises using the correlated information among the signals transmitted from different antennas. In this paper, a novel approach is proposed for this problem for another interesting case where multiple symbols are used to make the best use of the multiple antenna channel. Such an iss...

Let W be a closed area enlargeable manifold in the sense of Gromov-Lawson and M noncompact spin manifold, authors show that connected sum M#W admits no complete metric positive scalar curvature. When = Tn, this provides answer to generalized Geroch conjecture setting.

in this paper we will determine the multiple point manifolds of certain self-transverse immersions in euclidean spaces. following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to dold manifold $v^5$ or a boundary. we will show there is an immersion of $s^7times p^2$ in $mathbb{r}^{13...

A self-similar Hessian (special Kähler) manifold is a $$(M,\nabla ,g)$$ endowed with an affine (holomorphic) homothetic vector field $$\xi $$ . Consider action of group G on ,g,\xi )$$ by isometries preserving such that acts the level set $$\{g(\xi ,\xi )=1\}$$ simply transitively. Then, we construct homogeneous conformally Kähler (hyper structure TM $$(T^*M)$$

Reservoir computing is a growing paradigm for simplified training of recurrent neural networks, with high potential hardware implementations. Numerous experiments in optics and electronics yield comparable performance digital state-of-the-art algorithms. Many the most recent works field focus on large-scale photonic systems, tens thousands physical nodes arbitrary interconnections. While this t...