Quotient graphs for power graphs

In a previous paper of the first author a procedure was developed for counting the components of a graph through the knowledge of the components of its quotient graphs. We apply here that procedure to the proper power graph $\mathcal{P}_0(G)$ of a finite group $G$, finding a formula for the number $c(\mathcal{P}_0(G))$ of its components which is particularly illuminative when $G\leq S_n$ is a fusion controlled permutation group. We make use of the proper quotient power graph $\widetilde{\mathcal{P}}_0(G)$, the proper order graph $\mathcal{O}_0(G)$ and the proper type graph $\mathcal{T}_0(G)$. We show that all those graphs are quotient of $\mathcal{P}_0(G)$ and demonstrate a strong link between them dealing with $G=S_n$. We find simultaneously $c(\mathcal{P}_0(S_n))$ as well as the number of components of $\widetilde{\mathcal{P}}_0(S_n)$, $\mathcal{O}_0(S_n)$ and $\mathcal{T}_0(S_n)$

Resolving the fine-scale structure in turbulent Rayleigh-Benard convection

We present high-resolution direct numerical simulation studies of turbulent Rayleigh-Benard convection in a closed cylindrical cell with an aspect ratio of one. The focus of our analysis is on the finest scales of convective turbulence, in particular the statistics of the kinetic energy and thermal dissipation rates in the bulk and the whole cell. The fluctuations of the energy dissipation field can directly be translated into a fluctuating local dissipation scale which is found to develop ever finer fluctuations with increasing Rayleigh number. The range of these scales as well as the probability of high-amplitude dissipation events decreases with increasing Prandtl number. In addition, we examine the joint statistics of the two dissipation fields and the consequences of high-amplitude events. We also have investigated the convergence properties of our spectral element method and have found that both dissipation fields are very sensitive to insufficient resolution. We demonstrate that global transport properties, such as the Nusselt number, and the energy balances are partly insensitive to insufficient resolution and yield correct results even when the dissipation fields are under-resolved. Our present numerical framework is also compared with high-resolution simulations which use a finite difference method. For most of the compared quantities the agreement is found to be satisfactory.Comment: 33 pages, 24 figure

Waterbath Calibrator with Nine Channels Sensor

Water bath is a laboratory equipment that contains water or special liquid that can maintain the temperature under certain conditions during the specified time interval. For this reason, calibration is needed so that the temperature in the chamber waterbath is stable or not. calibration is carried out by comparing measuring instruments and measuring materials to be calibrated to traceable standards that are traceable to national and / or International standards. Based on the results of the identification of the problems mentioned above, the author makes a waterbath calibrator entitled "Waterbath Calibrator (9 channel)" which is very practical, and easy to operate. .This calibration tool uses a K type thermocouple sensor and also the output is displayed to the character LCD to make it easier for users to retrieve data, the reason for choosing a thermocouple sensor is because the error rate is +/- 1,1C while the LM35 is +/- 1,4C. The thermocouple temperature sensor can detect the chamber temperature quite well where the biggest error is obtained with a comparator of 2%, and the lowest error is 0%

Improve Capability Process to Optimizing Productivity: Case Study Line Process Packing Assembly in Electronic Manufacturing Company

Six sigma is a method for improving processes that focus on reducing process variations using statistical approaches and effective problem solving. The purpose of this method is calculating the impact of six sigma applications to company productivity. Six sigma not only aims to achieve zero defect, with the Six Sigma method optimizing production (Productivity), Six sigma, supporting the proper procedures in line with business goals both system and process. With the DMAIC method, we get as much information as possible and as soon with the smallest sample unit of the experiment. From the results of the paper, Takt Time reduce, 9.2s à 8.5s proved by DMAIC analysis to get effective and efficient improvement that ultimately can improve the company\u27s efficiency

Elastic Correlations in Nucleosomal DNA Structure

The structure of DNA in the nucleosome core particle is studied using an elastic model that incorporates anisotropy in the bending energetics and twist-bend coupling. Using the experimentally determined structure of nucleosomal DNA [T.J. Richmond and C.A. Davey, Nature {\bf 423}, 145 (2003)], it is shown that elastic correlations exist between twist, roll, tilt, and stretching of DNA, as well as the distance between phosphate groups. The twist-bend coupling term is shown to be able to capture these correlations to a large extent, and a fit to the experimental data yields a new estimate of G=25 nm for the value of the twist-bend coupling constant

Effects of Fadama III Project on the Income of Dry Season Rice Farmers in Sokoto State, Nigeria

The effects of Fadama III project to the improvement in the income of participating dry season rice farmers inSokoto state was studied. Population of the study comprised of all dry season rice farmers in Sokoto state. Purposivesampling was used to select six Local Government Areas. Purposive sampling was used to ensure the selection ofLGAs with outstanding potentials in the cultivation of dry season crops. Random sampling technique was used toselect 20 project participants and 12 non-project participants from each of the selected LGAs. Descriptive statisticsand gross margin analysis were used for data analysis. Findings of the study revealed that Majority of projectbeneficiaries (71.30%) and non-project beneficiaries (63.38%) did not attain any form of formal education. Cost oflabour (family and hired) dominated the production cost for both the project beneficiaries and non-projectbeneficiaries. Result of the gross margin analysis showed that the project participants made more profit (N319,459.44 Per Hectatre) in dry season rice production compared to N270, 334.61 Per Hectare earned by non-projectparticipants. It was recommended that the Fadama III project should as much as possible expand their area ofoperation so that more farmers can benefit from their services

Effects of Fadama III Project on Dry Season Onion Farmers’ Income in Sokoto State, Nigeria

The effect of Fadama III project to the improvement in the income of participating dry season onion farmers inSokoto State was studied. Population of the study comprised of all dry season onion farmers in Sokoto State.Purposive sampling was used to select six Local Government Areas, while random sampling technique was usedto select 15 respondents each from the project participants and non-project participants in each of the six LocalGovernment Areas. Descriptive statistics and gross margin analysis were used for data analyses. Findings of thestudy revealed that Majority (63.53% and 76.40%) of project beneficiaries and non-project beneficiariesrespectively did not attain any form of formal education. Cost of fertilizer dominated the production cost for boththe project beneficiaries (46.61%) and non-project beneficiaries (55.99%) of total cost. Result of the gross marginanalysis shows that the project participants made more profit in dry season onion production (₦241, 854.89)compared to the non-project participants (₦63,328.59). It was recommended that Fadama III project should as muchas possible expand their area of operation so that more farmers can benefit from their services

Penerapan Model Pembelajaran Inkuiri Terbimbing Dilengkapi Lks Untuk Meningkatkan Keterampilan Proses Sains Dan Prestasi Belajar Pada Materi Pokok Hukum Dasar Kimia Siswa Kelas X Mia 4 SMA N 1 Karanganyar Tahun Pelajaran 2014/2015

Tujuan penelitian ini adalah untuk meningkatkan keterampilan proses sains siswa dan prestasi belajar siswa pada materi hukum dasar kimia kelas kelas X MIA 4 SMA N 1 Karanganyar tahun pelajaran 2014/2015 dengan penerapan model pembelajaran inkuiri terbimbing dilengkapi LKS. Penelitian ini merupakan Penelitian Tindakan Kelas (PTK) yang dilaksanakan dalam dua siklus, dengan tiap siklus terdiri atas perencanaan, tindakan, observasi dan refleksi. Subjek penelitian ini adalah siswa kelas X MIA 4 SMA Negeri 1 Karanganyar tahun pelajaran 2014/2015 yang berjumlah 36 siswa. Sumber data berasal dari guru dan siswa. Teknik pengumpulan data dilakukan dengan tes dan non tes (angket, observasi dan wawancara). Analisis data menggunakan teknik analisis deskriptif kualitatif. Hasil penelitian menunjukan bahwa: (1) penerapan model pembelajaran inkuiri terbimbing dilengkapi LKS dapat meningkatkan keterampilan proses sains siswa pada materi hukum dasar kimia. Hal ini dapat dilihat ketuntasan siklus I yaitu 66,67% meningkat menjadi 77,78% pada siklus II, (2) penerapan model pembelajaran inkuiri terbimbing dilengkapi LKS dapat meningkatkan prestasi belajar siswa pada materi hukum dasar kimia. Prestasi belajar dalam penelitian ini berupa aspek pengetahuan, sikap dan keterampilan (praktik dan tertulis). Persentase prestasi belajar pada aspek pengetahuan untuk siklus I sebesar 69,44% meningkat menjadi 80,56% pada siklus II, ketuntasan penilaian aspek sikap siklus I dan II yaitu sebesar 100% dan ketuntasan pada aspek keterampilan yaitu sebesar 100%