• Journal of applied mathematics & informatics
• /
• 제42권3호
• /
• pp.625-634
• /
• 2024

The thrust of this paper is to extend the notion of Plithogenic vertex domination to the basic operations in Plithogenic product fuzzy graphs (PPFGs). When the graph is a complete PPFG, Plithogenic vertex domination numbers (PVDNs) of its Plithogenic complement and perfect Plithogenic complement are the same, since the connectivities are the same in both the graphs. Since extra edges are added to the graph in the case of perfect Plithogenic complement, the PVDN of perfect Plithogenic complement is always less than or equal to that of Plithogenic complement, when the graph under consideration is an incomplete PPFG. The maximum and minimum values of the PVDN of the intersection or the union of PPFGs depend upon the attribute values given to P-vertices, the number of attribute values and the connectivities in the corresponding PPFGs. The novelty in this study is the investigation of the variations and the relations between PVDNs in the operations of Plithogenic complement, perfect Plithogenic complement, union and intersection of PPFGs.

• The Pure and Applied Mathematics
• /
• 제8권1호
• /
• pp.61-69
• /
• 2001

The purpose of this paper is to introduce the Nielsen root number for the complement N(f:X-A,c) which shares such properties with the Nielsen root number N(f;c) as lower bound and homotopy invariance.

• Journal of Elementary Mathematics Education in Korea
• /
• 제20권2호
• /
• pp.193-213
• /
• 2016

This study has two goals. The First is to develop and apply a step-by-step program and the degree to which students' mathematical skills. The second is to analyze mathematical attitude change around the first grade students was done. The program for learning complement number is composed of series of 5 steps and 11 classes. Play for learning complement number, taking into account the difficulty of the learning steps 1-5 are organized. First step is composed of the classes which fragmented pieces of shapes to complete the entire geometry with fun activities for the entire part of the concept of learning and it maintenance concepts and can naturally learn by associating step. In second step, tools to take advantage of the real world and collecting the conservative concept. 3rd steps is to repair the mathematical concept of the parish in the learning stage of expansion. 4th step is halrigalri, number cards, making ten games etc. 5th step is to verify the concept of complement number and number operation ability. The concept of complement number through fun activities can improve students' mathematical skills, and mathematical attitude change. Early in the program, students use the finger to throw acid in the process. Simple addition and subtraction calculations may take a long time and error, but more and more we progress through the program using the fingers is eliminated and a more complex form calculations was not difficult to act out.

• Education of Primary School Mathematics
• /
• 제14권3호
• /
• pp.303-316
• /
• 2011

The purpose of this study was to analyze a first grader's number sense in playing the searching complement of ten game. For this purpose, the researcher conducted the game with a first-year student and analyzed her number sense based on conversations in playing games. The results obtained in this study were as follows: First, the student had a very big interested in the game and it was easily converted into additional situations. Second, she fully understood the rules of the game and made the complement of the given number. However, she was not good at making complement of twelve. Third, she made new rules like using three or four cards. She easily made the number 10 with two cards, but she didn't easily understand how to make 10 with more than three cards.

• Korean Journal of Animal Reproduction
• /
• 제12권1호
• /
• pp.31-36
• /
• 1988

There studies were conducted using inbred ICR mice to examine the sex of preimplantation mouse embryo. The morphological normality of mice embryos treated with the culture medium containing rat H-Y antiserum(10%, v/v) plus complement(20%,v/v) was observed and also the sexing of embryos was investigated by chromosomal analysis. The results obtained were summarized as follows: 1. The viability of preimplantation mouse embryos, which were incubated in vitro with different media condition, was scored 68.9-85.5% in control group. However, 151 embryos normally developed up to blastocyst and 160 embryos were retarded growth or destroyed out of total 311 embryos treated in the medium containing H-Y antiserum(10%, v/v) plus complement(20%,v/v). 2. H-Y antiserum was prepared from inb red rats (Wistar and Donryu strain) with different immunization times (4, 5 and 6th) to examine the specific titer of embryos by the number of immunization. Precentage of normally developed embryos incubated either in the medium containing the antiserum of Wistar plus complement or Donryu plus complement was revealed 50.9, 47.4 and 50.0% (4, 5 and 6th immunization and 47.8, 41.2 and 48.7%, respectively. 3. Twenty two females and five males were identified out of fourty-eight normally developed embryos incubated in the medium containing H-Y antiserum plus complement by chromosomal analysis.

• Geomechanics and Engineering
• /
• 제3권1호
• /
• pp.61-81
• /
• 2011

In this paper, a complement to the Hoek-Brown criterion is proposed in order to derive the strength of anisotropic rock from strength of the corresponding truly intact rock. The complement is a decay function, which unlike other modifications or suggestions made in the past, is multiplied to the function of the original Hoek-Brown failure criterion for intact rock. This results in a combined and extended form of the criterion which describes the strength of anisotropic rock as a varying fraction of the corresponding truly intact rock strength. Statistical procedures and in particular regression analyses were conducted into data obtained in experiments conducted in the current research program and those collected from the literature in order to define the Hoek-Brown's criterion complement. The complement function was best described by a simple polynomial including only three constants to be empirically evaluated. Further investigations also showed that these constants can be related to the other readily available parameters of rock material which further facilitate determining the constants. A great and prime advantage of the proposed complement is that it is mathematically simple including the least possible number of empirical constants which are easily estimated with minimum experimental effort. Moreover, proposed concept does not suggests any change to the original Hoek-Brown criterion itself or its constants and serves whenever anisotropy does exist in the rock. This further implies on the possibility of using any other failure criterion for intact rock in conjunction with the compliment to reach the strength of anisotropic rock.

• Journal of the Institute of Electronics and Information Engineers
• /
• 제50권1호
• /
• pp.97-101
• /
• 2013

There is a growing need for optical communication systems that convert large volumes of data to optical signals and that accommodate and transmit the signals across long distances. Digital optical communication consists of a master unit (MU) and a slave unit (SU). The MU transmits data to SU using digital optical signals. However, digital optical units that are commercially available or are under development transmit data using two's complement representation. At low input levels, a large number of SSOs (simultaneous switching outputs) are required because of the high rate of bit switching in two's complement, which thereby increases the power noise. This problem reduces the overall system capability because a DSP (digital signal processor) chip (FPGA, CPLD, etc.) cannot be used efficiently and power noise increases. This paper proposes a change from two's complement to a more efficient method that produces less SSO noise and can be applied to existing digital optical units.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• 제15권7호
• /
• pp.628-637
• /
• 1990

In this paper we present on architecture for a high sppeed CMOS multiplier which can be used for real-time digital signal processing. And a synthesis method for designing highly parallel algorithms in VLSI is presented. A parallel multiplier design based on the modified Booth's algorithms and Ling's algorthm. This paper addresses the design of multiplier capable of accpting data in 2's complement notation and coefficients in 2's complement notation. Multiplier consists of an interative array of sequential cells, and are well suited to VLSI implementation as a results of their modularity and regularity. Booth's decoders can be fully tested using a relatively small number af test vector.

• Macromolecular Research
• /
• 제12권1호
• /
• pp.46-52
• /
• 2004

In a continuation of our previous studies on blood compatibility profiles of anion-substituted poly(vinyl alcohol) (PVA) membranes, in which hydroxyl groups have been replaced with carboxymethyl (C-PVA) and sulfonyl groups (S-PVA), we have studied the activation of complement components and the changes in white cell and platelet count in vitro and compared them with those of unmodified PVA, Cuprophane, and low-density polyethylene. Complement activation of fluid phase components, C3a, Bb, iC3b, and SC5b-9, and of bound phases, C3c, C3d, and SC5b-9, were assessed by enzyme-linked immunosorbent assay (ELISA) and immunoblot, respectively. The changes in the number of white cells and platelets following complement activation were counted using a Coulter counter. C-PVA and S-PVA activated C3 to a lesser extent than did PVA, which we attribute to the diminished level of surface nucleophiles of the samples. In addition, C- and S-PVA exhibit increased inhibition of Bb production, resulting in a decrease in the extent of C5 activation. Consequently, because of the reduced activation of C3 and C5, C- and S-PVA samples cause marked decreases in the SC5b-9 levels in plasma. We also found that the negatively charged sulfonate and carboxylate groups of the samples cause a greater extent of adsorbtion of the positively charged anaphylatoxins, C3a and C5a, because of strong electrostatic attraction, which in turn provides an inhibition of chemotaxis and activation of leukocytes. The ability to inhibit complement production, together with the binding ability of anaphylatoxins of the C- and S-PVA samples, leads to a prominent decrease in lysis of leukocytes as well as activation of platelets.

• Journal of the Korean Mathematical Society
• /
• 제47권1호
• /
• pp.113-122
• /
• 2010

In [4], we gave a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement. In this paper we prove the corresponding result for tunnel number one knots.