• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.979-982
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• 2022

This paper covers some important operator inequalities connected with traces of matrices, from the classical inequalities we obtained new inequalities connected with traces of matrices which are better than the others.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.7 no.5
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• pp.430-439
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• 1996

In printed circuit board (PCB) design, it is necessary to predict the crosstalk effect among traces on the circuitary behavior. In this paper, crosstalk between parallel or crossing traces was treated by the finite difference time domain (FDTD) method. They are the typical models of PCB traces and the crosstalk is a major contributor in the creation of electromagnetic interference (EMI). The crosstalk effect was computed for the variation of distance spacing and length of parallel traces and crossing traces. The results in time and frequency domain are discussed and compared with those using MDS(microwave design system) and HFSS(high frequency structure simulator). The comparison shows that the FDTD method can be of wide application in analysis model and save the time required for calculation.

• Journal of Institute of Control, Robotics and Systems
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• v.4 no.2
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• pp.246-255
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• 1998

This paper presents a novel method for real-time malfunction detection of plasma etching process using EPD signal traces. First, many reference EPD signal traces are collected using monochromator and data acquisition system in normal etching processes. Critical points are defined by applying differentiation and zero-crossing method to the collected reference signal traces. Critical parameters such as intensity, slope, time, peak, overshoot, etc., determined by critical points, and frame attributes transformed signal-to symbol of reference signal traces are saved. Also, UCL(Upper Control Limit) and LCL(Lower Control Limit) are obtained by mean and standard deviation of critical parameters. Then, test EPD signal traces are collected in the actual processes, and frame attributes and critical parameters are obtained using the above mentioned method. Process malfunctions are detected in real-time by applying SPC(Statistical Process Control) method to critical parameters. the Real-time malfunction detection method presented in this paper was applied to actual processes and the results indicated that it was proved to be able to supplement disadvantages of existing quality control check inspecting or testing random-selected devices and detect process malfunctions correctly in real-time.

• Journal of Plant Biology
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• v.28 no.4
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• pp.285-296
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• 1985

To examine the differentiation and transition of vascular system in Prunus davidiana FR., the mature embyro and developing seedlings were embedded in paraplast and treated by clearing method. In mature embryo, the procambium was connected with the epicotyl-hypocotyl-radicle axis and cotyledons, whereas protophloem and protoxylem were restricted primarily to the mid-vein and two lateral veins of the cotyledonary base. With the onset of germination, protophloem and protoxylem were differentiated both acropetally and basipetally from the cotyledonary base. The first and second leaf traces appeared in the cotyledonary node, and then differentiated bidirectionally toward the epicotyl and the root tip. The 3rd to 6th leaf traces were connected with the cotyledonary traces in hypocotyl. At the part of the root tip, the xylem was a diarch. As the first and second leaf traces were superimposed at the middle part of the root, the diarch xylem was changed to a tetrarch. As the cotyledonary traces were diverged below the root base, the tetrarch xylem was changed to an octarch. It was suggested that the vascular system of the epicotyl might be superimposed on that of the cotyledon-hypocotyl-root during the formation of the primary vascular system of Prunus davidiana.

• Korean Journal of Mathematics
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• v.16 no.1
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• pp.115-122
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• 2008

In the present article, we give a set of axioms for determinants and traces of the l-tuples of commuting operators on a fixed finite dimensional vector space over a field when $l{\geq}2$. We describe them with or without a coherence assumption especially when k is the field of real numbers. Under the coherence assumption, it turns out that there are only a trivial determinant and trace over arbitrary field k. This leads us to formulate a more appropriate definition of the determinants. In this case, the set of determinants can be described in terms of the Milnor's K-theory. As for the traces, it is not clear to us how to correctly formulate a definition except for certain cases.

• Tribology and Lubricants
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• v.21 no.1
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• pp.39-45
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• 2005

Investigation of the mass effect on the journal traces in the clearance of engine bearing has been performed for better design of mass distribution of crank system components such as crank pin, piston, con-rod, balance weight, crank throw weight, etc. as well as for better oil reaction behaviors to the applied forces from the cylinder pressures on the bearing. In this preliminary study, crank pin traces in the engine bearing clearance are computed by varying the equivalent magnitude of crank pin mass that includes the masses of crank pin, piston, con-rod. etc.. while most previous studies regarding journal traces in the bearing clearance neglect the inertia effects of crank pin mass. Although the inertia effect of pill mass is negligibly small compared to viscous force by ${\pi}bearing$ theory, it is found that it gives a great amount of influences on the journal traces in full bearing computation $(2\pi\;bearing\;theory)$ under the dynamic loading conditions.

• Journal of Plant Biology
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• v.26 no.4
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• pp.207-216
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• 1983

Mature embryo and developing seedlings of Ginkgo biloba L. were embedded in a paraplast and serially sectioned at 10${\mu}{\textrm}{m}$ to examine vascular differentiation and vascular transition. Procambium and protophloem formed a continuous system along the epicotylhypocotyl root axis and cotyledons in mature embryo, whereas protoxylem was differentiated discontinuously in the cotyledons and rarely in the upper hypocotyl. The traces of the first and second leaf primordia apeared almost at the same time oppositely to each otehr at the epicotyl and alternately with the cotyledon traces in the upper hypocotyl. The trace differentiated bidirectionally toward the epicotyl and root tips. the young root initially formed a diarch xylem. Then, as the traces of the first and second leaves were superimposed, the diarch xylem. Then, as the traces of the first and second leaves were superimposed, the diarch xylem of the root was changed totriarch and tetrarch xylem, respectively. On the formation of primary vascular system of Ginkgo biloba, it is suggested that the primary phloem forms a continuous system throughout the seedling, whereas the primary xylem of the epicotyl is formed independently from that of the root-hypocotyl cotyledon system.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.2
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• pp.183-188
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• 2008

We will derive recursion formulas satisfied by the traces of singular moduli for the higher level modular function.

• Journal of Forest and Environmental Science
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• v.31 no.4
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• pp.261-266
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• 2015

We investigated habitat characteristics of the yellow-throated marten Martes flavigula (Carnivora : Mustelidae) using geographic information system (GIS). GPS coordinates of the target mammal traces and seven habitat factors were used for the GIS analysis. The Odaesan National Park (ONP) is selected as a study area for GIS analysis of the habitat characteristics. According to the GIS analysis of whole area of ONP, main forest type was broadleaf trees which occupy 72% of forests. Trees of 4th to 6th age-calss account for 93% of the ONP forests. The mean elevation and slope of ONP was 901 m and $22.1^{\circ}$, respectively. According to the GIS analysis of M. flavigula habitats in ONP, most M. flavigula traces were found in borad-leaf forests and coniferous forests which are main forest types of ONP. In addition, the yellow-throated marten recorded a relatively high appearance rate of 7% in unstocked forests, which account for much less than 1% of the area of ONP. Most of the marten traces were found in forests with trees of 4th to 6th age-classes. The traces were found in the forest types in higher elevation (1,080.3 m) and lower slope ($15.0^{\circ}$) on average, compared with those of ONP. Appearance rate of the marten traces was 96% in range less than 600 m from the water. The traces were frequently found in areas far distantly beyond 1,400 m range from human residental areas and cultivated areas.

• The Journal of Advanced Prosthodontics
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• v.12 no.1
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• pp.1-8
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• 2020

PURPOSE. To investigate the influence of crown material (lithium-disilicate, 3Y-TZP zirconia) and abutment type (rigid implant, resin tooth with artificial periodontium) on wear performance of their antagonist teeth and adjacent teeth. MATERIALS AND METHODS. A mandibular left first molar (#36) with adjacent human teeth (mandibular left second premolar: #35, mandibular left second molar: #37) and antagonistic human teeth (maxillary left second premolar: #25, maxillary left first molar: #26, maxillary left second molar: #27) was prepared simulating a section of the jaw. Samples were made with extracted human molars (Reference), crowned implants (Implant), or crowned resin tooth analogues (Tooth). Crowns (tooth #36; n = 16/material) were milled from lithium-disilicate (Li, IPS e.max CAD) or 3Y-TZP zirconia (Zr, IPS e.max ZirCAD, both Ivoclar Vivadent). Thermal cycling and mechanical loading (TCML) in the chewing simulator were applied simulating 15 years of clinical service. Wear traces were analyzed (frequency [n], depth [㎛]) and evaluated using scanning electron pictures. Wear results were compared by one-way-ANOVA and post-hoc-Bonferroni (α = 0.05). RESULTS. After TCML, no visible wear traces were found on Zr. Li showed more wear traces (n = 30-31) than the reference (n = 21). Antagonistic teeth #26 showed more wear traces in contact to both ceramics (n = 27-29) than to the reference (n = 21). Strong wear traces (> 350 ㎛) on antagonists and their adjacent teeth were found only in crowned groups. Abutment type influenced number and depth of wear facets on the antagonistic and adjacent teeth. CONCLUSION. The clinically relevant model with human antagonistic and adjacent teeth allowed for a limited comparison of the wear situation. The total number of wear traces and strong wear on crowns, antagonistic and adjacent teeth were influenced by crown material.