Results 41 to 50 of about 36,928 (235)
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
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
Electromagnetic modes in dielectric equilateral triangle resonators
Resonant electromagnetic modes are analyzed inside a dielectric cavity of equilateral triangular cross section and refractive index n, surrounded by a uniform medium of refractive index n'.
Braun +15 more
core +1 more source
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
On a Covering Problem for Equilateral Triangles [PDF]
Let $T$ be a unit equilateral triangle, and $T_1,\dots,T_n$ be $n$ equilateral triangles that cover $T$ and satisfy the following two conditions: (i) $T_i$ has side length $t_i$ ($0 < t_i < 1$); (ii) $T_i$ is placed with each side parallel to a side of $T$.
Dumitrescu, Adrian, Jiang, Minghui
openaire +2 more sources
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
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Optical properties and single-electron states of the nanosystem that contains three quantum dots
The quantum molecule consisting of three quantum dots that forms a triangle with its centers is studied. The electron wave function in the nanosystem is written using the linear combination of orbital quantum wells.
I.V. Bilynskyi +2 more
doaj +1 more source

