W niniejszej pracy w formie najogólniejszej podany został, w ujęciu wektorowym, opis analityczny elipsoidy zniekształceń odwzorowawczych w regularnym odwzorowaniu przestrzeni trójwymiarowej w przestrzeń trójwymiarową. Wyprowadzony został opis analityczny infinitezymalnej kuli jednostkowej w otoczeniu różniczkowym punktu przestrzeni oryginału i rozpoznany jej oddpowiednik topologiczny w różniczkowym otoczeniu punktu przestrzeni obrazu

This study aims to test the effectiveness of online Mindfulness-Based Cognitive Therapy in increasing the resilience of Covid-19 patients. It has applied a website-based cyberpsychology approach to providing Mindfulness- Based Cognitive Therapy interventions. The online program was delivered over six sessions. These were carried out across four meetings, each of which lasted 30-120 minutes. The study is pre-experimental, using a single group pre-test to post-test experimental design. There were 5 patient participants with Covid-19, 1 male and 4 female. They were aged 20-27 years. All were either asymptomatic or presented only mild symptoms. The Connor Davidson Resilience Scale (CD-RISC) was used to measure pre- to post-intervention change in resilience, and a negative emotion scale was used to derive emotion ratings after each session. Results were analysed using a Wilcoxon signed-rank test. This showed a value of Z = -2.023 (p < 0.05), with a mean rank of 3.00, and a sum of ranks of 15.00. The analysis indicates that online Mindfulness-Based Cognitive Therapy can significantly increase resilience in Covid-19 patients.

Aim: This study investigates the impact of assertiveness training on assertiveness and self-esteem of high school students. Method: The study employs Quasi-experimental design where 130 participants aged 13-17 years were selected randomly and assigned into two groups as experimental (N-65) and control group (N-65). Tools: For this aim Assertiveness scale (AS) and Self-esteem questionnaire (RSE) were used. Training: During the treatment phase, the experimental group received assertiveness training of 5 weeks comprising two sessions per week, and each session took 45 minutes. After treatment both experimental and control groups are measured with post-tests. Results: The results show that assertiveness training has significantly increased the assertiveness and decreased the aggression and submission in the experimental group. Also the training has significantly increased the self-esteem of students. Conclusion: The obtained findings revealed an increase in the rate of self-esteem and assertiveness and decrease in the aggression and submission of students. Hence it proved that assertiveness training is significantly effective on the assertiveness, aggression, submission and self-esteem of students.

Scientists around the world agree that nowadays, science is facing severe challenges like poor peer-review system, replicability crisis, or locked science behind paywalls. The National Science Center addresses at least some of them by introducing procedures that promote integrity, ethics, social responsibility, transparency, and openness in science.

The article is devoted to the memory of Professor Franciszek Ziejka, Rector of Jagiellonian University (1999–2005) and presents the most important areas of his outstanding activity. The Professor was a historian of literature, an expert in Polish culture of XIX century – especially so called “Young Poland” period – and an excellent promoter of Polish literature and history. He had a significant impact on the development of academic life in Poland, as Chairman of the Conference of Rectors of Academic Schools in Poland and initiator of changes to the regulations governing higher education in Poland. Professor Franciszek Ziejka passed away 19 of July 2020.

This investigation was undertaken to determine the optimum conditions for physical-chemical treatment of waste water contaminated with heavy metals in the industry of metallic coatings. The industry uses substances such as: inorganic acids, alkalis, acidic and alkaline metal salts, that has a high water demand in the processes of flushing and cleaning the parts to be coated. According to the preliminary characterization of samples and reported in the literature theory, physico-chemical process was implemented for the removal of contaminants that consisted in chemical oxidation of CN-ions, followed by chemical precipitation made next to a coagulation/flocculation and subsequent adsorption on activated coal. Laboratory scale tests showed the optimal conditions of treatment including chemical oxidation by the addition of 4.15 cm3 of H2O2(30%) per gram of CN, chemical precipitation with NaOH to a pH of 12, followed by coagulation/flocculation with Fe2(SO4)3 at a speed of 135 rpm for 3 min and 20 rpm for 20 min and finally the addition of 1.0 g of adsorbent previously activated at 700°C. From this study, it is clear that the adsorption on activated carbon is highly efficient in the removal ofheavy metals from industrial waste water from electroplating. However, it is also clear that the parallel application of the treatments, shown here, is more effective to completely remove contaminants such as lead, nickel, silver, and copper at la-boratory scale, so it is recommended the simultaneous use of these physico-chemical processes.