On Groups in Which Many Automorphisms Are Cyclic

Let G be a group. An automorphism α of G is said to be a cyclic automorphism if the subgroup ⟨x,xα⟩ is cyclic for every element x of G. In [F. de Giovanni, M.L. Newell, A. Russo: On a class of normal endomorphisms of groups, J. Algebra and its Applications 13, (2014), 6pp] the authors proved that every cyclic automorphism is central, namely, that every cyclic automorphism acts trivially on the factor group G/Z(G). In this paper, the class FW of groups in which every element induces by conjugation a cyclic automorphism on a (normal) subgroup of finite index will be investigated.

Pengaruh Penggunaan Konseling Kelompok Trait and Factor Terhadap Ketepatan Pemilihan Jurusan Siswa

The choice of majors at school is part of career exploration as preparation for entering the world of professional work. However, choosing a major can be confusing for students. This study aims to determine the effect of using trait and factor group counseling on the accuracy of majors selection. The research uses a quantitative approach with the correlational method. The sample in this study were 91 students of class XII who had made the selection of majors. Data were analyzed using regression analysis with the help of SPSS 25 for Windows. The results show that there is no significant effect between the use of trait and factor group counseling on the accuracy of majors selection.

Comparison of ICSI and Conventional IVF in Non-Male Factor Patients with Less Than Four Oocytes

Background: We aimed to analyse our clinical results for a particular subgroup of patients with poor ovarian response (POR) in order to clarify if lower number of oocytes is a drawback for proceeding to C-IVFMaterials and methods: In this retrospective study, patient files of all couples (#1733) who underwent oocyte retrieval between January 2017 and December 2019 were reviewed and 191 cases diagnosed with non-male factor infertility in which ≤3 cumulus-oocyte-complexes available for fertilisation were analysed. Exclusion criteria were: woman age>42, patients with a history of previous ART trial, prenatal genetic testing cycles and couples undergoing total cryopreservation for any indication. Three groups were constructed depending on the method of fertilisation and on semen quality as follows: IVF non-male factor (Group 1,n=77); ICSI non-male factor (Group 2, n=65); ICSI male factor- ICSI/MF n=49 according to WHO reference values. Main outcome parameters were: fertilisation rate, implantation rate and live birth rate. Results: Fertilisation rate per collected COC was significantly higher in group 1 compared to the other two groups (85,68%, 72,58%, 73,33% respectively, p=0,004). FR per inseminated oocyte also tended to be higher in group 1 but not reaching a statistically significant level. Both techniques yielded similar implantation rates (20,42%, 28,49%, 23,33% respectively, p=0,407) and live birth rates (26,8%, 30,6%, 31,1% respectively, p=0.643).Conclusions: In the presence of normal semen parameters, low egg number is not an indication to perform ICSI. The choice of fertilisation method should be based primarily on semen quality, in combination with the patient’s previous history regardless of the ovarian reserve.

Effects of Attentional Withdrawal on Chinese Disabled Biathletes’ Shooting Performance

Under two situations of static empty gun preview and simulated competition, the validity of self-suggestion language “preloading compaction,” which suggests attentional withdrawal, was verified, respectively. Methods. The experiments in the two parts were designed in a single factor group. The participants (Chinese disabled biathletes) fired 20 times (4 groups in total, 5 times in each group) both in pretest and posttest, and they used self-suggestion before each group of firing in posttest. Optoelectronic shooting device based on wireless laser transceiver technology was selected to collect the shooting technical indicators, scores, and other information. The operation evaluation form reflected the subjective feelings of the participants, and the heart rate was measured by the chest band. Results. By the method of big data analysis, under the condition of static empty gun preview, the results showed that there was an extremely significant difference between shooting score and quality of triggering. All the marks on the operation evaluation form improved after the intervention. In the mock competition situation, shooting score has highly significant differences with quality of triggering and relative triggering value and significant difference with aiming ability. The marks of the operation evaluation form have been improved; the heart rate of firing all decreased in different degrees. Conclusions. The attentional withdrawal has positive effects on the shooting scores, technical indicators of optoelectronic shooting device, subjective feelings, and heart rate of disabled biathletes under the two conditions. TIRE (the timing of firing) is the most sensitive indicator and can be used as the focus of future training and scientific research.

Peningkatan Kadar Zn Beras Pecah-Kulit pada Sistem Penggenangan Berselang Melalui Aplikasi Pupuk Kandang Diperkaya Zn Heptahidrat

Zn levels in rice are essential for maintaining consumer health. However, Zn deficient plants can reduce levels of Zn in grains and the ability of plants to express their genetic potentials. This study examines the use of cow manure enriched with Zn heptahydrate on increasing Zn levels of broken skin rice. The experiment was arranged in a randomized single factor group design with seven levels of manure dose treatment, namely: 0; 2.5; 5, 7.5, 10, 12.5, 15 tons ha-1, with 3 replications. Spacing was 30 cm x 30 cm with a size of 3 m x 4 m. The parameters observed were plant growth, the weight of 1,000-grain, percentage of empty grain, production, Zn and protein contents of the brown rice. The collected data were analyzed using analysis of variance with a confidence interval of 5%, followed by the Duncan test of 5%. The results showed that the application of cow manure with a dose of 10 tons ha-1 enriched by 5 kg ha-1 Zn heptahydrate could increase the number of productive tillers, weight of 1,000-grains, production, Zn and protein contents of the brown rice as well as suppress the grainy rice grain of Mekongga variety of lowland rice on the intermittent flooding. Keywords: brownrice, cow manure, irrigation system, Zn heptahydrate

Methodological support of the efficiency diagnosis of the economic security system of industrial enterprises in competitive environment

The article proposes a classification of methodological approaches to the diagnosis of the economic security of enterprises according to the principles of consistency and strategic levels of government. The authors formalize the methods at the general, structural, factorial and unit levels. The general methods include indicator, functional-resource and economic-mathematical. Structural methods are distinguished by the direction of the economic security system, which allow to formalize corporate, motivational, financial and investment-profitable approaches. The factor group of methods is also formalized, in which the diagnostics of innovative influence, competitive status, market threats and normative-legal influence is distinguished. The largest group include methods of unit diagnostics, among which are methods of analysis of bankruptcy, personnel and intellectual, technical and technological, social, environmental, information and other components.

Vibrational Study, Reinvestigation of the Crystal Structure of MgHPO4.3H2O and Calculated IR Frequencies for the PO43- by Isotopic Substitutions

The monohydrogenomonophosphatetrihydrate of magnesium MgHPO4.3H2O was reinvestigated by X-ray diffraction, vibrational spectroscopy, nuclear magnetic resonance and calculation of the IR frequencies by using isotopic substitutions. MgHPO4.3H2O is orthorhombic, space group Pbca with the following unit-cell parameters: a = 10.0133(2) Å, b= 10.2136(1) Å, c =10.6853(2) Å, Z = 8 and V = 1092.81(3) Å3. Raman and infrared spectra of MgHPO4.3H2O have been recorded and interpreted on the basis of factor group analysis. The occurrence of the four frequencies ν1, v2, v3, v4 in the vibrational spectra confirms the existence of the PO43− tetrahedron.

COMPOSITION SERIES OF THE SOLVABLE ABELIAN FACTOR GROUP SOURCE OF EQUATION OF ALL POLYNOMIAL EQUATIONS

This work penciled down the Composition Series of Factor Abelian Group over the source of all polynomial equations gleaned through the nth roots of unity regular gons on a unit circle, a circle of radius one and centered at zero. To get the composition series, the third isomorphism theorem has to be passed through. But, the third isomorphism theorem itself gleaned via the first which is a deduction of the naturally existing canonical map. The solution of the source atom of the equation of all equation of polynomials are solvable by the intertwine of the Euler’s Formula and the De Moivre’s Theorem which after the inter-math, they become within the domain of complex analysis. For the source root of the equations, there is a recursive set of homomorphisms and ontoness of the mappings geneting the sequential terms in the composition series.

Antidepressant effect of repetitive transcranial magnetic stimulation is not impaired by intake of lithium or antiepileptic drugs

Introduction The effect of concomitant medication on repetitive transcranial magnetic stimulation (rTMS) outcomes in depression remains understudied. Recent analyses show attenuation of rTMS effects by antipsychotic medication and benzodiazepines, but data on the effects of antiepileptic drugs and lithium used as mood stabilizers or augmenting agents are sparse despite clinical relevance. Preclinical electrophysiological studies suggest relevant impact of the medication on treatment, but this might not translate into clinical practice. We aimed to investigate the role of lithium (Li), lamotrigine (LTG) and valproic acid (VPA) by analyzing rTMS treatment outcomes in depressed patients. Methods 299 patients with uni- and bipolar depression treated with rTMS were selected for analysis in respect to intake of lithium, lamotrigine and valproic acid. The majority (n = 251) were treated with high-frequency (10–20 Hz) rTMS of the lDLPFC for an average of 17 treatment sessions with a figure-of-8 coil with a MagVenture system aiming for 110% resting motor threshold, and smaller groups of patients were being treated with other protocols including intermittent theta-burst stimulation and bilateral prefrontal and medial prefrontal protocols. For group comparisons, we used analysis of variance with the between-subjects factor group or Chi-Square Test of Independence depending on the scales of measurement. For post-hoc tests, we used least significant difference (LSD). For differences in treatment effects between groups, we used an ANOVA with the between-subjects factor group (groups: no mood stabilizer, Li, LTG, VPA, Li + LTG) the within-subjects factor treatment (pre vs. post treatment with rTMS) and also Chi-Square Tests of independence for response and remission. Results Overall, patients showed an amelioration of symptoms with no significant differences for the main effect of group and for the interaction effect treatment by group. Based on direct comparisons between the single groups taking mood stabilizers against the group taking no mood stabilizers, we see a superior effect of lamotrigine, valproic acid and combination of lithium and lamotrigine for the response and remission rates. Motor threshold was significantly and markedly higher for patients taking valproic acid. Conclusion Being treated with lithium, lamotrigine and valproic acid had no relevant influence on rTMS treatment outcome. The results suggest there is no reason for clinicians to withhold or withdraw these types of medication from patients who are about to undergo a course of rTMS. Prospective controlled work on the subject is encouraged.

Relationship Between Multi-Factors and Short-Term Changes in Fishery Resources

The objective of this research is to explore the relationships among various multidimensional factor groups and the density of fishery resources of ecosystems in offshore waters and to expand the application of deep machine learning algorithm in this field. Based on XGBoost and random forest algorithms, we first conducted regulatory importance ranking analysis on the time factor, space factor, acoustic technology factor, abiotic factor, and acoustic density of offshore fishery resources in the South China Sea. Based on these analyses, data slicing is carried out for multiple factors and acoustic density, and the relationship between multidimensional factor group and the density of marine living resources in the ecosystem of offshore waters is elaborately compared and analyzed. Importance ranking shows that the concentration of active silicate at 20 m depth, water depth, moon phase perfection, and the number of pulses per unit distance (Ping) are the first-order factors with a cumulative contribution rate of 50%. The comparative analysis shows that there are some complex relationships between the multidimensional factor group and the density of marine biological resources. Within a certain range, one factor strengthens the influence of another factor. When Si20 is in the range of 0–0.1, and the moon-phase perfection is in the range of 0.3–1, both Si20 and moon-phase perfection strengthened the positive influence of water depth on the density of fishery biological resources.