scholarly journals Resolutions of Newton non-degenerate mixed polynomials of strongly polar non-negative mixed weighted homogeneous face type

2021 ◽  
Vol 44 (3) ◽  
Author(s):  
Sachiko Saito ◽  
Kosei Takashimizu
Keyword(s):  
1996 ◽  
Vol 28 (2) ◽  
pp. 331-331
Author(s):  
Richard Cowan ◽  
Simone Chen

Consider a connected planar graph. A bounded face is said to be of type k, or is called a k-face, if the boundary of that face contains k edges. Under various natural rules for randomly dividing bounded faces by the addition of new edges, we investigate the limiting distribution of face type as the number of divisions increases.


2018 ◽  
Vol 53 (10) ◽  
pp. 1347-1359 ◽  
Author(s):  
Erdem Selver ◽  
Gaye Kaya

This study aims to enhance the flexural properties of sandwich composites made from glass or carbon face and glass and carbon fibre Z-pin inserted extruted-polystyrene (XPS) foam cores. Carbon and glass pins were placed through XPS foams with two different column and row densities (15 and 30 mm). Results indicated that flexural loads, strength and modulus of glass/XPS and carbon/XPS sandwich composites significantly increased after inserting of glass and carbon rods. Core shear strengths and facing stresses of glass/XPS and carbon/XPS increased by increasing of carbon or glass rod densities. The rod type, rod density and face type of the sandwich composites are considered as significant parameters which affect the flexural behaviour of sandwich composites while using carbon rods enhanced flexural properties more than that of using glass rods due to better interfacial bonding.


2018 ◽  
Vol 24 (1) ◽  
pp. 56-61
Author(s):  
О.О. Kotsyura

Restoration of missing teeth should be done as close as possible to the natural anatomical features of the person's tooth-jaw apparatus. That is why the problem of aesthetics in dentistry has ceased to be only orthopedic and has shifted towards a constitutional and ethnic odontology. The purpose of the study is to construct and carry out analyzes obtained by regression analysis, models of computed-tomographic size of molars, depending on the features of cephalometric indices of practically healthy men of the Western and Eastern regions of Ukraine. A computed-tomographic study of molars with the following odontometry and cephalometry of 36 practically healthy men of the Western region of Ukraine – residents of Volyn, Rivne, Lviv, Chernivtsi, Ternopil, Khmelnytskyi, Transcarpathian and Ivano-Frankivsk regions and 35 men of the Eastern region of Ukraine - residents of Kharkiv, Donetsk and Luhansk regions was performed with the help of the Dental Cone-ray Tomography Veraviewepocs-3D (Morita, Japan). Regression models of linear sizes of molars, depending on cephalometric indices, were conducted using the statistical software package Statistica 6.1. As a result of the conducted research, reliable models of computed-tomographic size of the upper and lower jaws molars were constructed in practically healthy men of the Western [7 models of mesio-distal dimensions (R2 = 0.532-0.646), most of which include sagittal arc (12.5%), outer-eye width, nose depth, distance between nasion and inter-cutter point, body length of the lower jaw on the left, largest head circumference and maximum head length (by 7.5%); 6 models of vestibular-tongue dimensions (R2 = 0.527-0.646), which most often include nasal depth (20.0%), body length of the lower jaw to the left (16.0%), physiological face length and morphological face length (by 12.0%); 1 model of crown height (R2 = 0.579)] as well as Eastern [3 models of crown height (R2 = 0.538-0.682), which most often include nose depth (15.0%), face type, physiological face length, morphological face length, smallest width head and sagittal arc (by 10.0%); 2 models of mesio-distal sizes (R2 = 0.572 and 0.556), which most often include inter eye fossa width (15.4%)] regions of Ukraine. Thus, in practically healthy men from the Western and Eastern administrative-territorial regions of Ukraine, based on the specifics of cephalometric indicators and face type, reliable regression models (with determination coefficient R2 greater than 0.5) of computed-tomographic size of molars of the upper and lower jaws (out of 40 possible 14 for the western and 5 for the eastern regions of Ukraine).


2017 ◽  
Vol 17 (10) ◽  
pp. 1011
Author(s):  
Sarah Williams ◽  
Alesha Bond ◽  
Corey Bohil ◽  
Heather Kleider-Offutt
Keyword(s):  

1996 ◽  
Vol 28 (02) ◽  
pp. 331
Author(s):  
Richard Cowan ◽  
Simone Chen

Consider a connected planar graph. A bounded face is said to be of type k, or is called a k-face, if the boundary of that face contains k edges. Under various natural rules for randomly dividing bounded faces by the addition of new edges, we investigate the limiting distribution of face type as the number of divisions increases.


1968 ◽  
Vol 90 (4) ◽  
pp. 709-721
Author(s):  
L. W. Winn ◽  
R. L. Thorkildsen ◽  
D. F. Wilcock

Performance of advanced air-breathing propulsion systems can be significantly improved through the utilization of effective sealing devices. One of the areas in which immediate benefits are realizable from improvements in sealing efficiency is the high-pressure compressor end area. This paper describes the design of a face-type flexible seal and a face-type rigid seal for a compressor end seal based upon the cruise conditions expected in one version of the supersonic transport (SST) jet engine. The seals, non-contacting during operation, operate on air films achieved through the employment of hybrid gas-bearing geometries on the seal faces. The design procedure discussed consists primarily of the selection of the most applicable seal-face geometries force and moment balance, determination of seal tracking capability, establishment of leakage characteristics, thermal gradients, and stress and deflection calculations. The design results indicate that satisfactory seal performance can be obtained with either of the two configurations. Leakage reductions of an order of magnitude compared to that encountered with labyrinth seals commonly used in existing jet-engine systems can be achieved.


2003 ◽  
Vol 76 (5) ◽  
pp. 1009-1010 ◽  
Author(s):  
Yûji Miyasato ◽  
Yoshihiro Nogami ◽  
Masaaki Ohba ◽  
Hiroshi Sakiyama ◽  
Hisashi Okawa

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