Rational design and additive manufacturing of alumina-based lattice structures for bone implant
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Rhombus
Simulated body fluid
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We question the use of rhombus silicate networks and rhombus oxide networks in some papers by the count of the included oxygen atoms and oxygen ions.
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Silicates are the largest, the most complicated and the most interesting class of minerals by far. Kulli introduced the Banhatti indices of a graph. In this paper the general K-Banhatti indices, first and second K-Banhatti indices, K hyper Banhatti indices and modified K Banhatti indices for triangular silicate network, triangular oxide network, rhombus oxide network and rhombus silicate networks are computed.
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Silicate glass
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The Algorithm for univalent inner radius of rhombus with the inequality of complex modulus was studied.A calculation formula was found,which simplify the calculation method of univalent inner radius of rhombus proposed by Zhu Huacheng.With the method,it proves that rhombus is Nehari disk.
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This paper presents an example of how paper folding can be used in a geometry class to support conceptual understanding. Specifically, it explains an activity that constructs a rhombus and explores its attributes by using paper folding. The steps of constructing a rhombus are described and some discussion questions are given to consolidate understanding.
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Folding (DSP implementation)
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A multiband rhombus-shaped patch antenna with rhombus slots is presented in this paper. The dimensions of the proposed antenna are 50x48x1.2mm 3 at the operating frequency is 5.54GHz. The rhombus patch antenna with rhombus slots results in a multiband operation operating in a bandwidth of 80MHz (6.60GHz to 6.68GHz), 80MHz (8.36GHz to 8.44GHz), 400MHz (12.65GHz to 13.05GHz), 450MHz (14.76GHz to 15.21GHz), and 990MHz (16.73GHz to 17.72GHz) with a peak gain of 6.02dBi at 12.88GHz and exhibits circular polarization at the frequency range of 15.56GHz to 15.77GHz. The proposed antenna is suitable for C, X, and Ku-band applications. Simulations are carried out using Ansys HFSS software.
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HFSS
Patch antenna
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We compute the number of rhombus tilings of a hexagon with side lengths a,b,c,a,b,c which contain the central rhombus and the number of rhombus tilings of a hexagon with side lengths a,b,c,a,b,c which contain the `almost central` rhombus above the centre.
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Enumeration
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This study aims at evaluation of crashworthiness of rhombus concept car by comparing the response of related parameters in different collision conditions. For this objective the numerical method was used to simulate the dynamic responses of the rhombus concept car in frontal and small overlap collisions. The dynamic response parameters was analyzed and discussed in terms of the invasion quantity of rhombus car, accelerations, and impact force-displacement curves from both front impact and small overlap impact. The results from simulations of rhombus car impacts were compared with the results from simulations of ordinary passenger car. The results of the study demonstrate that: in the case of front impact and small overlap impact, rhombus car has good crashworthiness, which indicated also a good performance in protecting the integrity of its own body structure.
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Crashworthiness
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We compute the number of rhombus tilings of a hexagon with sides $N,M,N,N,M,N$, which contain a fixed rhombus on the symmetry axis. A special case solves a problem posed by Jim Propp.
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