Results 81 to 90 of about 14,137 (301)
Torus–Connected Cycles: A Simple and Scalable Topology for Interconnection Networks
International Journal of Applied Mathematics and Computer Science, 2015 Supercomputers are today made up of hundreds of thousands of nodes. The interconnection network is responsible for connecting all these nodes to each other.
Bossard Antoine, Kaneko Keiichi
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Yang–Mills Measure on the Two-Dimensional Torus as a Random Distribution [PDF]
Communications in Mathematical Physics, 2019 AbstractWe introduce a space of distributional 1-forms$$\Omega ^1_\alpha $$Ωα1on the torus$$\mathbf {T}^2$$T2for which holonomies along axis paths are well-defined and induce Hölder continuous functions on line segments. We show that there exists an$$\Omega ^1_\alpha $$Ωα1-valued random variableAfor which Wilson loop observables of axis paths coincide ...
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Advanced Materials, EarlyView.Drawing inspiration from the layered hard‐soft architecture found in sea sponges, this work establishes a new framework for architected cementitious composites (ACC) through multi‐material additive manufacturing (MMAM) process. The integration of mortar and elastomer phases into layered architectures enables synergistic toughening mechanisms, including
Aimane Najmeddine +5 more
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High-dimensional near-critical percolation and the torus plateau [PDF]
, 2022 We consider percolation on $\mathbb{Z}^d$ and on the $d$-dimensional discrete torus, in dimensions $d \ge 11$ for the nearest-neighbour model and in dimensions $d>6$ for spread-out models.
Hutchcroft, Tom +2 more
core +1 more source
A Geometrically Transient Platform for Bioelectronic Implants
Advanced Materials, EarlyView.Minimally invasive bioelectronic implants often compromise performance for smaller sizes. To resolve this optimization dilemma, a wireless bioelectronic implant with a transient geometry is introduced (MiFi). The origami‐inspired device miniaturizes up to sixfold for syringe insertion and autonomously unfolds post‐implantation.
Selin Olenik +13 more
wiley +1 more source
Phase reduction of limit-torus solutions to partial differential algebraic equations
Physical Review Research, 2019 A limit-torus solution describes a traveling and oscillating solution. It is characterized by two phase variables, spatial phase and temporal phase, which indicate the position and oscillation of the solution, respectively. Here, we develop a theoretical
Yoji Kawamura
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TWO DIMENSIONAL ARRAYS FOR ALEXANDER POLYNOMIALS OF TORUS KNOTS
Communications of the Korean Mathematical Society, 2017 Summary: Given a pair \(p\), \(q\) of relative prime positive integers, we have uniquely determined positive integers \(x\), \(y\), \(u\) and \(v\) such that \(vx-uy=1\), \(p= x+y\) and \(q= u+v\). Using this property, we show that \[ \sum_{1\leq i\leq x,1\leq j\leq v} t^{(i-1)q+(j-1)p}-\sum_{1\leq k\leq y,1\leq l\leq u} t^{1+(k-1)q+(l-1)p} \] is the ...
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Photo‐ and Thermally‐Induced Huge Layer Decoupling in Twisted Bilayer WSe2
Advanced Materials, EarlyView.A newly developed automated dark‐field tomography visualizes twist‐angle‐dependent structural relaxation and quantifies 3D structures in twisted bilayer WSe2. This approach reveals the evolution of local stacking configurations, thermally induced sub‐ångström interlayer decoupling, and light‐driven interlayer expansion on picosecond timescales ...
A. Nakamura +10 more
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Two-dimensional conformal invariant theories on a torus
Nuclear Physics B, 1986 The study of unitary conformal invariant theories on a torus reveals two important properties: the partition function and correlation functions may be expressed in terms of free (gaussian) field modes, and the modular invariance dictates the operator content of the theory: for a generic value of the central charge c = 1−/m(m + 1), there exist at least ...
C. Itzykson, J.-B. Zuber
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Soft Skins With Reversible Thickness Morphing: Materials, Mechanisms, and Applications
Advanced Materials, EarlyView.Evolution of electronic skin (e‐skin) technologies toward adaptive, multifunctional soft skins. Phase I highlights early rigid and discrete sensory interfaces. Phase II shows the transition toward flexible, stretchable, and large‐area e‐skin. Phase III captures the emergence of computational e‐skin.
Oliver Ozioko +2 more
wiley +1 more source