Results 41 to 50 of about 37,103 (224)
Nodal domains of the equilateral triangle billiard
We characterise the eigenfunctions of an equilateral triangle billiard in terms of its nodal domains. The number of nodal domains has a quadratic form in terms of the quantum numbers, with a non-trivial number-theoretic factor.
Jain, Sudhir R., Samajdar, Rhine
core +1 more source
Tiling Convex Polygons with Congruent Equilateral Triangles [PDF]
The authors of this paper establish some results for tiling convex polygons with congruent equilateral triangles. They give a complete characterization under the assumption of the generalized Riemann hypothesis.
Hertel, Eike, Richter, Christian
openaire +1 more source
A high‐density wearable body‐surface potential mapping array reveals how gravity reshapes cardiac conduction in real time. By resolving spatiotemporal delay patterns invisible to conventional ECG, the platform uncovers posture‐dependent electrophysiological adaptations across the thorax.
Ruben Ruiz‐Mateos Serrano +4 more
wiley +1 more source
ISOSCELES TRIANGLES ON THE SIDES OF A TRIANGLE
Famous construction of Fermat-Toricelly point of a triangle leads to the question is there a similar way to construct other isogonic centers of a triangle in a similar way.
Sead Rešić +2 more
doaj +1 more source
Primordial non-Gaussianity and the CMB bispectrum [PDF]
We present a new formalism, together with efficient numerical methods, to directly calculate the CMB bispectrum today from a given primordial bispectrum using the full linear radiation transfer functions.
E. P. S. Shellard +2 more
core +2 more sources
Equilateral Triangles in Finite Metric Spaces [PDF]
In the context of finite metric spaces with integer distances, we investigate the new Ramsey-type question of how many points can a space contain and yet be free of equilateral triangles. In particular, for finite metric spaces with distances in the set $\{1,\ldots,n\}$, the number $D_n$ is defined as the least number of points the space must contain ...
openaire +2 more sources
Autonomous Locomotion of Tensegrity Structure on Low‐Temperature Surfaces
A low‐temperature responsive tensegrity structure (LRTS) is constructed by integrating low‐responsive temperature liquid crystal elastomer (LCE) cables, nonresponsive cables, and stiff rods. The low phase transition temperature of LCE is achieved by introducing a new liquid crystal mesogen.
Changyue Liu +5 more
wiley +1 more source
Optimizing Node Localization in Wireless Sensor Networks Based on Received Signal Strength Indicator
In order to improve the precision of inside localization and optimize the allocation of node resources in wireless sensor networks (WSNs), an equal-arc trilateral localization algorithm based on received signal strength indicator (RSSI) is proposed from ...
Wei Wang +4 more
doaj +1 more source
Using electron scattering data, the diffraction pattern off $$^{3}$$ 3 He shows it to be an equilateral triangle possessing dihedral D $$_{3}$$ 3 point group symmetry (PGS). Previous work showed that $$^{4}$$ 4 He is a 3-base pyramid with C $$_{3v}$$ 3 v
P. D. Morley
doaj +1 more source
The Angular Resolution of Space-Based Gravitational Wave Detectors
Proposed space-based gravitational wave antennas involve satellites arrayed either in an equilateral triangle around the earth in the ecliptic plane (the ecliptic-plane option) or in an equilateral triangle orbiting the sun in such a way that the plane ...
C. Cutler +6 more
core +1 more source

