Regularization Methods for Ill-Posed Problems in Multiple Hilbert Scales

Several convergence results in Hilbert scales under different source conditions are proved and orders of convergence and optimal orders of convergence are derived. Also, relations between those source conditions are proved. The concept of a multiple Hilbert scale on a product space is introduced, regularization methods on these scales are defined, both for the case of a single observation and for the case of multiple observations. In the latter case, it is shown how vector-valued regularization functions in these multiple Hilbert scales can be used. In all cases convergence is proved and orders and optimal orders of convergence are shown.Comment: 32 pages, 2 figure

The transmission of Dutch disease and labour migration

SIGLEGBUnited Kingdo

Students’ Perception of Using ChatGPT in Counseling and Mental Health Education: The Benefits and Challenges

ChatGPT is an artificial intelligence (AI)-based chatbot that has expanded in popularity among users in several fields. It could transform education and support achieving sustainable development goals. Providing counseling and mental health services is a vital national goal for maintaining sustainable goals. As evidence of innovative technology’s ability to support sustainability in the digital era, no study has been found to investigate ChatGPT in counseling and mental health education based on students’ perceptions and experiences. Consequently, this study aimed to explore undergraduates’ perceptions in terms of the benefits and challenges of using ChatGPT in counseling and mental health education. The study adopted a descriptive quantitative approach using a purposive sample comprising 210 respondents who enrolled in the counseling and mental health program at the University of Jordan and experienced ChatGPT in their learning. The results reported that 81.9 percent of respondents perceived ChatGPT as a beneficial learning tool for counseling and mental health (M = 4.10); they perceived their ability to support most of the primary counseling skills and therapeutic conditions as the counseling dispositions and behaviors expected for reflection on meaning skills, empathic care, setting boundaries with colleagues, openness to feedback, congruence and genuineness, ability to record-keeping and task completion, and non-verbal skills. Furthermore, the findings reported that students experienced moderate challenges and concerns while utilizing ChatGPT (M = 3.21). The study’s findings suggest educators in counseling and mental health employ ChatGPT in the teaching and learning process. In addition, it proposes that decision-makers at the University of Jordan consider student concerns about ChatGPT

Abdominal pain and unclear focal liver lesion in 46-year-old female patient

A 46-year-old woman presented with recurrent right upper quadrant pain. Abdominal ultrasound revealed an inhomogeneous liver lesion (4 & x202f;x 7 & x202f;cm) with complex echotexture. Since further contrast-enhanced imaging tests were inconclusive and lesion integrity remained unclear, a left hemihepatectomy was performed. Histological examination revealed a hepatic epithelioid angiomyolipoma. Hepatic epithelioid angiomyolipoma is a rare, mostly benign, mesenchymal hepatic tumor, composed of smooth muscle cells, adipose tissue, and blood vessels of varying proportions, and its correct diagnosis remains a clinical challenge