Multiple Formula Research Articles

The Effect of Teacher’s Professional and Social Competency on Student’s Learning Outcomes

The teacher determines the success of students because of the teacher's strategic position as a guide in learning. In order for a teacher's job to work well, the teacher must be professional in teaching. Professional teachers are believed to be able to make students think, behave and act creatively. This quantitative study aims to measure the effect of professional and social competence of teachers on learning outcomes of elementary school students in the Gelumbang District of Muara Enim Regency, which were analyzed using multiple regression formulas and supported by SPSS For Windows Version 21, data collection techniques including questionnaires, documentation in the form of photographs related to research. The results obtained that the of influence of professional and social competence together contribute to the learning outcomes of elementary school students in Gelumbang District. This paper is different from previous studies, it provides the new paradigm to focus on profesional and social competence where we could have good learning outcomes of student.

PENINGKATAN EDUCATIONAL QUALITY ASSURANCE (EQA) MELALUI SARANA DAN PRASARANA DI LEMBAGA PENDIDIKAN ISLAM MADRASAH TSANAWIYAH NEGERI 4 KARAWANG

IMPROVING EDUCATIONAL QUALITY ASSURANCE THROUGH FACILITIES AND INFRASTRUCTURE AT ISLAMIC EDUCATION INSTITUTIONS MADRASAH TSANAWIYAH NEGERI 4 KARAWANG Educational facilities and infrastructure are an important part of achieving a maximum quality of education, the minimum standard of facilities and infrastructure for MTs or SMP is contained in the Regulation of the Minister of National Education number 19 of 2005. This study aims to empirically determine the effect of management of facilities and infrastructure on quality of education services at Madrasah Tsanawiyah Negeri 4 Karawang. In this study, the authors used the quantitative method with statistical processing using the Spss V.18 software with multiple linear regression formulas, because the independent variables in this study were double or two. Collecting data using observation techniques, documentation and questionnaire instruments / questionnaire with a Likert scale method of 1 to 4. The population of this study were all teachers and staff, totaling 49 people, with a sample size of 44 respondents. Sampling using purposive sampling technique, while the data analysis technique using descriptive statistics, inferential statistics using multiple linear regression consulted using correlative statistics. The results of data processing can be concluded that simultaneously the management of facilities and infrastructure has a significant effect on the quality of education services with the results of the F test of 1228.07 which is interpreted to the F table of 3.2, then F count F table. While the correlation coefficient value obtained is 0.996, if interpreted to the guideline table for the correlation analysis scale, it has a very strong relationship level of 99.6%. Thus it can be argued that the management of facilities and infrastructure greatly affects the quality of education services at MTsN 4 Karawang in the 2020/2021 school year.

Determining normal values for lower trachea and bronchi size in children by computed tomography (CT).

Normative data for central airway dimensions are a prerequisite to objectively assess large airway pathologies. Studies with computed tomography (CT) measurements of normal trachea and bronchi size in children are scarce. The purpose of this study is to establish normal values of central airway dimensions in children by CT. The study included chest CT studies from children aged 0-18 years. Any condition that predisposed the patient to have an abnormal tracheal or bronchial size was excluded. Airway diameters and cross-sectional area (CSA) were measured using double oblique reconstructions at five levels: proximal trachea, mid-trachea, distal trachea, right main bronchus, and left main bronchus. The inclusion criteria were met by 110 subjects (mean age, 10.8 years; SD, 5.2 years). Various regression models that considered the relationship between patient demographics and anteroposterior (AP) diameter, transverse diameter, and CSA at each of the five levels were assessed. R2 was utilized to select the best model. Multiple formulae (using patient age) were developed to calculate expected normal dimensions for five levels in the central airways on the natural log scale. Finally, z-scores were obtained for central airway dimensions at these five levels. Normative data in pediatric central airways are crucial to identify large airway pathologies. We propose using the formulae devised in our study to calculate the predicted dimensions of central airways and their z-scores in pediatric patients. Normative data from our study will aid in objective quantification of central airways, increase clinician confidence, and provide appropriate patient care.

Corollaries and multiple extensions of Gessel and Stanton hypergeometric summation formulas

We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel and Stanton. These are multiple reduction formulas, multiple summation formulas, as well as multiple transformation formulas for special Kampé de Fériet functions and Appell functions. The hypergeometric summation formulas have special function arguments in Q and parameter values in N or C. The proofs use Pfaff-Kummer transformation, Euler transformation, or an improved form of Slater reversion.

COMMUTATORS OF ELEMENTARY SUBGROUPS: CURIOUSER AND CURIOUSER

Let R be any associative ring with 1, n ≥ 3, and let A, B be two-sided ideals of R. In our previous joint works with Roozbeh Hazrat [17], [15], we have found a generating set for the mixed commutator subgroup [E(n, R, A); E(n, R, B)]. Later in [29], [34] we noticed that our previous results can be drastically improved and that [E(n, R, A); E(n, R, B)] is generated by (1) the elementary conjugates zij (ab, c) = tij (c)tji(ab)tij (–c) and zij (ba, c), and (2) the elementary commutators [tij (a), tji(b)], where 1 ≤ i ≠= j ≤ n, a ∈ A, b ∈ B, c ∈ R. Later in [33], [35] we noticed that for the second type of generators, it even suffices to fix one pair of indices (i, j). Here we improve the above result in yet another completely unexpected direction and prove that [E(n, R, A); E(n, R, B)] is generated by the elementary commutators [tij (a), thk(b)] alone, where 1 ≤ i ≠ = j ≤ n, 1 ≤ h ≠ = k ≤ n, a ∈ A, b ∈ B. This allows us to revise the technology of relative localisation and, in particular, to give very short proofs for a number of recent results, such as the generation of partially relativised elementary groups E(n, A)E(n, B), multiple commutator formulas, commutator width, and the like.

Prediction of Exercise Capacity and Training Prescription from the 6-Minute Walk Test and Rating of Perceived Exertion.

Walking tests, such as the 6-min walk test (6MWT), are popular methods of estimating peak oxygen uptake (VO2peak) in clinical populations. However, the strength of the distance vs. VO2peak relationship is not strong, and there are no equations for estimating ventilatory threshold (VT), which is important for training prescription and prognosis. Since the 6MWT is often limited by walking mechanics, prediction equations that include simple additional predictors, such as the terminal rating of perceived exertion (RPE), hold the potential for improving the prediction of VO2max and VT. Therefore, this study was designed to develop equations for predicting VO2peak and VT from performance during the 6MWT, on the basis of walking performance and terminal RPE. Clinically stable patients in a cardiac rehabilitation program (N = 63) performed the 6MWT according to the American Thoracic Society guidelines. At the end of each walk, the subject provided their terminal RPE on a 6–20 Borg scale. Each patient also performed a maximal incremental treadmill test with respiratory gas exchange to measure VO2peak and VT. There was a good correlation between VO2peak and 6MWT distance (r = 0.80) which was improved by adding the terminal RPE in a multiple regression formula (6MWT + RPE, R2 = 0.71, standard error of estimate, SEE = 1.3 Metabolic Equivalents (METs). The VT was also well correlated with walking performance, 6MWT distance (r = 0.80), and was improved by the addition of terminal RPE (6MWT + RPE, R2 = 0.69, SEE = 0.95 METs). The addition of terminal RPE to 6MWT distance improved the prediction of maximal METs and METs at VT, which may have practical applications for exercise prescription.

Patterns of Artistic Image in the Poetry of Salah Abdus-Sabour

The artistic image in its multiple varied patterns is considered one of the most prominent elements of the poem in all ages. The poem cannot be composed without an artistic image that expresses its poetic essence because it will lose a pillar of its aesthetic composition. Every academic critical study that tackles a specific poet or a specific poem looks at the artistic image as an aesthetic dimension that is indispensable. The artistic image is usually of multiple shapes, formulas and signs regarding its relationship to poetic structure, language, and rhythm . Salah Abdus-Sabour is one of the pioneering Arab poets, as he is the most prominent poet of modernity in Egypt since the early fifties with Ahmed Abdul-Mu’ti Hujazi, Mohammad Afifi Matar, and others. However, Abdus-Sabour is distinguished by his transparent poetic pictorial language that depends on a new language in Expression and composition. That is why the researchers find it appropriate that the poems of Abdus-Sabour are a fertile topic for this research in the field of artistic image patterns in modern Arab poetry

DEVELOPMENT AND IMPLEMENTATION OF A TENTH-ORDER HYBRID BLOCK METHOD FOR SOLVING FIFTH-ORDER BOUNDARY VALUE PROBLEMS

A hybrid convergent method of tenth-order is presented in this work for directly solving fifth-order boundary value problems in ordinary differential equations. A unique direct block approach is obtained by combining multiple Finite Difference Formulas which are derived via the collocation technique. The proposed method is fully analyzed and the existence and uniqueness of the discrete solution is established. Different numerical examples are considered and the results are compared with those provided by existing works in the literature. The comparison shows the good performance of the present method over some cited works in the literature, confirming the competitiveness and superiority of the new numerical integrator.

Estimation of total bone length of the late Byzantine humerus

Variables such as age, ethnicity, gender, and stature are the factors that reveal the biological and physical profile of the individual. Mathematical methods can be used to estimate the total height of the long limb bones. It is possible to shed light on different periods by revealing some anatomical and morphological bone features by using human bones from ancient times. For this purpose, after taking photographs of 96 humeri, which are all male and belonging to the late Byzantine period, measurements were made using ImageJ software and also some variables were measured using a caliper. For each bone, descriptive values were given, with the right and left sides separately. The directions and degrees of the relationship between the anatomical formations are determined and multiple regression formulas for the height estimation are produced by using these relations.

Biennial Analysis of Medication Guide Length and EstimatedReadability for New Molecular Entity Drugs, 2011-2017.

A medication guide (MG) is a form of FDA-approved labeling that provides patients with information about certain prescribed drugs so that patients can use these drugs safely and effectively. Given ongoing efforts by FDA and industry to continuously improve MG content and format, we hypothesized that more recently approved MGs for new molecular entities (NMEs) would be shorter and more readable compared to NME MGs approved earlier. We analyzed 53 NME MGs that were either approved in 2011 (n = 16), 2013 (n = 9), 2015 (n = 12), or 2017 (n = 16) to determine whether MG page length, word count, and readability scoresdiffered by year. Readability was estimated by Flesch Reading Ease, Flesch-Kincaid Grade Level (FKGL), Fry graph (FRY), and Gunning's Fog Index (FOG) scores. Mean page length was significantly lower in 2017 than in 2011 and 2013 (ps < .0001). Mean FKGL scores reflected sentences and words found in 8th grade textbooks, but mean FOG and FRY scores were consistent with sentences and words found in 10th and 11th grade textbooks. Although more recent NME MGs were shorter than older NME MGs, additional research is warranted to determine whether shorter MGs lead to improved readability. Developers choosing to estimate MG readability with equations should consider using multiple readability formulas and weigh the strengths and weaknesses of this approach. Using validated tools to more comprehensively assess MG readability should also be considered.

Dissipativity-Based Two-Dimensional Control and Filtering for a Class of Switched Systems

This paper deals with the dissipative control and filtering problems for the discrete-time two-dimensional (2-D) switched Fornasini-Marchesini (FM) systems. First, the definition of 2-D TSR- ϑ-dissipativity for the FM systems is introduced. By employing the switched quadratic Lyapunov function technique and establishing multiple recursive formulas, sufficient conditions are developed to guarantee that the considered system is asymptotically stable under the arbitrary switching signal (ASS) case and exponentially stable under the restricted switching signal (RSS) case with the 2-D TSR- ϑ-dissipativity, respectively. The special cases, such as the 2-D passivity performance and the 2-D H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance, are also discussed. Based on the obtained dissipative stability conditions, the 2-D TSR- ϑ-dissipative state feedback controller and filter design problems are further studied for the addressed system. Particularly, the extended average dwell time (define this later on in text) technique is utilized for the system under the RSS case. Finally, the effectiveness of the proposed design method is illustrated by numerical examples.

Factors influencing thermal resistance of a down sleeping bag

PurposeTo have a better understanding of the heat transfer mechanisms in a sleeping bag and to investigate the factors influencing thermal resistance of a down sleeping bag.Design/methodology/approachThe mechanism of heat transfer in a sleeping bag was discussed in this paper. The thermal resistances of 24 samples were investigated. Besides, the relation between fill weight and thermal resistance, and that between the air permeability of fabric and thermal resistance, as well as that between down filling rate and thermal resistance were analyzed.FindingsThe results showed that thermal resistances of samples varied from 0.35 to 0.8 m2 K/W. The fill weight was the most important factor of thermal resistance of sleeping bag and the relation between fill weight and thermal resistance matched well with cubic function. A multiple regression formula was proposed, which with thermal resistance as a dependent variable and with air permeability of fabric, down filling rate, fill weight as independent variables.Originality/valueThermal properties of a sleeping bag were analyzed through simplified basic unit under simplified environment conditions, which was necessary for building the first stage of systematic study of thermal performance of a sleeping bag.

Predominant Microbial Colonizers in the Root Endosphere and Rhizosphere of Turfgrass Systems: Pseudomonas veronii, Janthinobacterium lividum, and Pseudogymnoascus spp.

Microbes can colonize plant roots to modulate plant health and environmental fitness. Thus, using microbes to improve plant adaptation to biotic and abiotic stresses will be promising to abate the heavy reliance of management systems on synthetic chemicals and limited resource. This is particularly important for turfgrass systems because intensive management for plant available nutrients (e.g., nitrogen), water, and pest control is necessary to maintain a healthy and aesthetic landscape. However, little is known on microbial species and host compatibility in turfgrass root endosphere and rhizosphere. Here, by using marker gene high throughput sequencing approaches we demonstrated that a few bacterial and fungal species prevailed the root endosphere and rhizosphere and were of a broad host spectrum. Irrespective of turfgrass species (bermudagrass, ultradwarf bermudagrass, creeping bentgrass, and tall fescue), defoliation intensities (i.e., mowing height and frequency), turfgrass sites, and sampling time, Pseudomonas veronii was predominant in the root endosphere, constituting ∼38% of the total bacterial community, which was much higher than its presence in the bulk soil (∼0.5%) and rhizosphere (∼4.6%). By contrast, Janthinobacterium lividum and fungal species of the genus Pseudogymnoascus were more abundant in the rhizosphere, constituting ∼15 and ∼ 39% of the total bacterial and fungal community, respectively, compared to their respective presence in the bulk soil (∼ 0.1 and 5%) and root endosphere (∼ 0.8 and 0.3%). Such stark contrasts in the microbiome composition between the root endosphere, rhizosphere, and bulk soil were little influenced by turfgrass species, suggesting the broad turfgrass host compatibility of these bacterial and fungal species. Further, their dominance in respective niches were mutually unaffected, implying the possibility of developing a multiple species formula for coping turfgrass with environmental stresses. These species were likely involved in controlling pests, such as infectious nematodes and fungi, decomposing root debris, and helping turfgrass water and nutrient uptake; yet these possibilities need to be further examined.

A remark on the distribution of products of independent normal random variables

We present a proof of the explicit formula of the probability density function of the product of normally distributed independent random variables using the multiplicative convolution formula for Meijer G functions.

Innovative design formulas for formal structural systems of Coronavirus and their use in spreading health awareness for children

Scientific development and biological theories gave the artist the opportunity to find constructive design formulas that can be used. Also, the study of nature led to the emergence of biology that deals with the study of cells and viruses that provides the opportunity to study the formal structure of natural elements and extract their systems then translate them into structural design systems. This research deals with studying the external structural systems of Coronavirus to spread health awareness by producing multiple formulas that enrich the fields of design, From here, the research problem determined to what extent the possibility of extracting innovative design formulas in the fields of textile printing design and decorative design through the structural formal systems of the Coronavirus and using them in guiding children and spreading health awareness? The research aims to enrich the entrances of formation in the fields of textile printing and decorative design by paying attention to the formal structure of Coronavirus and producing multiple formulas and solutions that help guiding children and enriching the field of designing children's clothes. The importance of the research is to highlight the aesthetic values of the formal systems of Coronavirus, proposing design solutions for children's clothes aged from 10 to 15 years, through opening new horizons to reach creative solutions that enrich the fields of textile printing and decorative design to use them to guide children about Coronavirus through guiding sentences. The research assumes using formal structure of Coronavirus in extracting innovative design formulas and employing them to enrich children's clothes designs in both fields of textile printing and decorative design in which children can be guided from. The research has time limits that study the structural of Coronavirus in our time, and objective limits that focus on extracting design formulas through the formal structure of Coronavirus and using them in guiding children aged from 10 to 15 years and an experimental study to develop innovative design solutions for children's clothes. The research follows the descriptive, analytical and experimental approach by extracting design formulas from the structural and formal systems of Coronavirus and using them to guide children, also creating designs experiments and employment proposals for children's clothes to guide about Coronavirus. From the research results it is clear that the study of the formal systems of Coronavirus as an integrated holistic systems open a new field in the field of design in general and in the fields of textile printing design and decorative design in particular besides that the statistical study showed that there is a positive sign in favor of design and employment experiments, which indicates the validity of the hypotheses. Alternatives to endless design solutions that fulfill functional and aesthetic values in design and children's clothes. The research recommends paying attention to the structural and formal structure of Coronavirus as an integrated holistic systems based on the design formulas that enrich fields of design, opening new horizons and experimental visions that adopt the freedom of creativity in design by investing in the structural and formal systems of Coronavirus, and conducting more research related to Coronavirus that guide in publishing culture of health awareness among society and children in particular.

Dynamic Viscosity Standard of High Viscosity Modified Asphalt Considering Temperature and Load Coupling Effect

The anti-ravelling and anti-rutting performances of porous asphalt pavement are significantly affected by dynamic viscosity of high viscosity modified asphalt. Climatic and traffic conditions vary greatly due to the vast territory of China, and dynamic viscosity standard has not been recommended up to now aiming at different temperature and load conditions. The influence of high viscosity additive dosage on key property indexes was firstly analysed for asphalt and asphalt mixture, and appropriate dosage was recommended. The dynamic stability changing law of porous asphalt mixture was revealed under different temperature, load and their coupling conditions. Multiple regression relation of them was established. Finally dynamic viscosity standard was proposed considering temperature/load coupling effect. The research results show that when high viscosity additive dosage exceeds 10% for 70# base asphalt, the increasing trend of dynamic viscosity becomes slowing down. Semi-logarithmic relations of dynamic stability with ravelling loss, Marshall stability were respectively found, and double-logarithmic relation of that with dynamic viscosity was found. The appropriate dosage of high viscosity additive is recommended as 12%. Based on multiple regression formula of dynamic stability with dynamic viscosity, temperature and load, the lower limit of 60°C dynamic viscosity is recommended as 50000Pa•s for normal region, 100000Pa•s for heavy-load region, 200000Pa•s for high-temperature region, and 400000Pa•s for heavy-load & high-temperature region.

PROMOSI, KETIDAKPUASAN KONSUMEN, DAN KEBUTUHAN MENCARI VARIASI TERHADAP MEREK PIXY KOTA BEKASI

This study aims to analyze the Influence of Promotion, Consumer Dissatisfaction and The Need to Find Variations in Brand Switching Behavior. The type of research is quantitative. The sampling technique used is accidental sampling with a total sample of 150 respondents. The method of data analysis used is descriptive. The Statistical analysis techniques used is SPSS 26 program with linear multiple regression statistical formula, simultaneous significance test (F-test), partial significance test (T-test) and coefficient of determination (R2). The results of the research statistics test showed the sig values &lt; α (0.000 &lt; 0.05) and F count &gt; F tables or 75,621 &gt; 2.74 at a significance level of 5% and R Square is 0.600 which means the promotion, the consumer dissatisfaction, and the need to find variations influenced in brand switching behavior.

Mathematical Estimation Methods and Models for Industrial Companies

The collateralized debt obligations and credit default swaps applications are shown in this paper. The industry obligations secondary market risk estimation methods are considered in this work. The new methods taking into account statistically significant parameters for industrial credit derivatives portfolio are offered for single-name investment risks numerical experiments realization. The mathematical estimation of tranche were shown. The single and multiple name default obligations necessary mathematical modeling methods and formulae for the industrial materials manufacturers derivative credit tools market are shown. It is determined that the portfolio of synthetic debt tools is made of the given parameters. The task of a loss derivative tranches mathematical estimation is solved. Late defaults raise the equity tranches payment required sums with high spreads, early defaults reduce. Also the functional characteristics required for an estimation huge debts problem solving are partly considered in this paper. The problem of the default modeling for market tools and numerical simulation of the obligations influence on conditions of current bistability mode are shown here. Some credit derivatives of industrial manufacturers are demonstrated in the modeling process of default as an example. It is found that the model is an additional factor help us to estimate the default opportunity.

Curves on K3 surfaces in divisibility 2

AbstractWe prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2. Then we establish the holomorphic anomaly equation in divisibility 2 in all genera. Our approach involves a refined boundary induction, relying on the top tautological group of the moduli space of smooth curves, together with a degeneration formula for the reduced virtual fundamental class with imprimitive curve classes. We use double ramification relations with target variety as a new tool to prove the initial condition. The relationship between the holomorphic anomaly equation for higher divisibility and the conjectural multiple cover formula of Oberdieck and Pandharipande is discussed in detail and illustrated with several examples.

Research on reliable running time of motorized spindle based on health indicator

Motorized spindle is one of the key components of CNC machine tools, and its degradation can be monitored in real time to predict the future reliable running time of motorized spindle, It is of great significance to reduce maintenance support cost and improve equipment stability to provide support for maintenance decision. In this paper, based on the comprehensive health index of motorized spindle and reliable running time forecast method, first of all, through the health indicator as a measure of motorized spindle health status characteristic parameters and characteristic parameters for single and multiple health indicator formula respectively, many characteristic parameters by using the method of sequence relations act and the entropy weight method to achieve the unity of the subjective and objective. Then, after the health factor modification, the comprehensive health indicator formula is obtained. Finally, an exponential model based on time series analysis is established to fit the variation trend of comprehensive health indicator of motorized spindle with time, and the expression of health indicator model is obtained. An example is given to verify the rationality and feasibility of the proposed method, and a comparative analysis is made with the reliability of references. The final results show that the proposed method in this paper is effective and reasonable. Can achieve the purpose of reliable running time estimation of motorized spindle.