Results 71 to 80 of about 69,132 (324)
Convex Equipartitions via Equivariant Obstruction Theory [PDF]
, 2013 We describe a regular cell complex model for the configuration space F(\R^d,n). Based on this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture by Nandakumar and Ramana Rao that every polygon can be partitioned into n
Blagojević, Pavle V. M. +1 more
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The kissing number of the regular polygon
Discrete Mathematics, 1998 Summary: Let \(P_n\) be a regular polygon containing \(n\) sides and \(K(P_n)\) its kissing number. This paper gets \(K(P_n) =6\) for \(n>6\).
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Advanced Photonics Research, EarlyView.Coherent anti‐stokes Raman spectroscopy (CARS) enables high‐resolution vibrational imaging, yet non‐resonant background (NRB) distorts spectral fidelity. This review highlights NRB removal methods—from experimental strategies and numerical algorithms to emerging deep learning techniques.
Rajendhar Junjuri, Thomas Bocklitz
wiley +1 more source
On the Polynomials Orthogonal on Regular Polygons
Journal of Approximation Theory, 1999 The author studies the so called Pastro-Al Salam-Ismail polynomials [\textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 121, 553-561 (1994; Zbl 0835.33011) and J. Math. Anal. Appl. 112, No. 2, 517-540 (1985; Zbl 0582.33010)]: polynomials biorthogonal on the unit circle with continuous weight function (under mild conditions ...
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3D Elastomeric Kirigami for Passively Stretchable Fully Soft Vacuum‐Powered Artificial Muscles
Advanced Robotics Research, EarlyView.The creation of purely soft, passively stretchable artificial muscles has long been a hot topic in robotics research. Here, we present a design approach involving the extension of 2D kirigami to 3D elastomeric kirigami structures. In a biomimetic demonstration of the human upper arm, this approach successfully simulated the driving mechanism ...
Tao Wang +8 more
wiley +1 more source
Pegs and Ropes: Geometry at Stonehenge [PDF]
, 2008 A recent computer-aided-design investigation of the Neolithic 56 Aubrey Hole circuit at Stonehenge has led to the discovery of an astonishingly simple geometrical construction for drawing an approximately regular 56-sided polygon, feasible with a compass
Alberto Pimpinelli, Anthony Johnson
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Regular polygons in Euclidean space
Linear Algebra and its Applications, 1995 The author gives a nice short approach to the construction of regular polygons in Euclidean spaces of arbitrary dimension. The results and examples are well known.
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Advanced Science, EarlyView.The existence of Pin1 and Notch1 crosstalk is identified and verified in HCC, and the crucial function of this crosstalk in sustaining the aggressive phenotypes of CSCs and radioresistance. A biomimetic nanovesicle is now developed to block the crosstalk between Pin1 and Notch1 for inducing CSCs differentiation and sensitizing HCC radiotherapy ...
Hongmei Cao +9 more
wiley +1 more source
Virtual mass of regular polygon at angle of attack [PDF]
, 2016 In case of the accelerating motion like a sinusoidal motion, the virtual mass effect should be taken into account in equation of motion. Generally speaking we should find the appropriate mapping functions while they are restricted in some functions.
Arai, Norio
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Advanced Science, EarlyView.This article presents an insightful review on the exploitable nexus of geometry, folding mechanics and stimuli‐responsive physics for achieving active programmability in tubular origami metamaterials and metastructures, highlighting the broad‐spectrum potential in innovative applications across the length scales, along with critically analysing the ...
A. Sharma, S. Naskar, T. Mukhopadhyay
wiley +1 more source