Ushbu maqolada ikki o'lchovli termoelastiklik masalasining chekli elementlar usuli yordamida sonli yechimi ko'rib chiqilgan. Tekis deformatsiya holatidagi termoelastik muammoning matematik modeli, uni yechish algoritmi va Python dasturlash tilida yaratilgan dastur kodi batafsil bayon qilingan. Issiqlik o'tkazuvchanlik va mexanik deformatsiyalar bog'langan holda yechilgan bo'lib, hisoblash natijalari grafik shaklda taqdim etilgan. Olingan natijalar asosida harorat taqsimoti, termik deformatsiyalar va kuchlanishlar tahlil qilingan hamda yechimning amaliy ahamiyati ko'rsatilgan. Maqolada taklif etilgan metodika mexanika va materiallar muhandisligi sohasida issiqlik va mexanik ta'sirlarni baholash uchun foydalanilishi mumkin.

In the rapidly transforming global landscape marked by increasing cultural diversity, unprecedented migration flows, and accelerated technological advancements, cultural competence and intercultural communication have emerged as critical components of effective human interaction. As individuals and institutions encounter diverse worldviews, value systems, languages, and communicative norms, the ability to navigate these differences constructively has become not only desirable, but essential for peaceful coexistence, productive collaboration, and inclusive development. This paper delves into the theoretical and practical dimensions of cultural competence and intercultural communication, offering a comprehensive analysis of their definitions, models, and real-world implications across sectors such as education, healthcare, international business, and diplomacy. The study begins by situating cultural competence within a broader sociocultural and psychological framework, exploring the interplay between awareness, knowledge, sensitivity, and adaptive behavior. Various models — such as Bennett’s Developmental Model of Intercultural Sensitivity, Deardorff’s Pyramid Model of Intercultural Competence, and Hofstede’s Cultural Dimensions Theory — are critically examined to uncover how individuals can develop the skills necessary to engage across cultural lines with respect and effectiveness. Simultaneously, the concept of intercultural communication is unpacked as both a field of academic inquiry and a practical, everyday challenge involving the transmission of meaning between culturally dissimilar interlocutors. The paper further explores how factors such as language, non-verbal cues, identity, power dynamics, ethnocentrism, and cultural stereotypes influence intercultural communication processes. Special attention is paid to the ways in which globalization, digital connectivity, and transnational movements have altered traditional communication patterns, introducing new complexities and opportunities for intercultural engagement. Empirical case studies are presented to highlight both successful and problematic examples of intercultural interactions in real-world contexts, providing insight into best practices and common pitfalls. A central argument advanced by this study is that cultural competence is not a static set of knowledge or skills, but a dynamic, context-dependent, and lifelong developmental process. It requires continuous self-reflection, openness to difference, and a commitment to equity and inclusion. Moreover, cultivating intercultural competence is a shared responsibility — extending from individual behavior to institutional policy and global governance. Ultimately, this research aims to contribute to the academic and practical discourse on how societies can better prepare individuals to thrive in culturally pluralistic environments. By synthesizing theoretical perspectives and applied insights, the paper advocates for the intentional integration of intercultural training across educational systems, professional development programs, and civic initiatives. In doing so, it underscores the imperative of building culturally responsive societies that honor diversity not as a challenge to be managed, but as a resource to be embraced for collective human advancement.

Ish joyida raqamli nazorat vositalarining qo‘llanilishi zamonaviy mehnat munosabatlarida murakkab, ammo muhim masalalardan biri hisoblanadi. Texnologik taraqqiyot tufayli ish beruvchilar xodimlar ustidan bevosita yoki bilvosita nazoratni ancha kengaytirish imkoniyatiga ega bo‘lmoqdalar. Bu esa, bir tomondan, korxonalar faoliyatining samaradorligini oshirishga xizmat qilsa, boshqa tomondan, xodimlarning konstitutsiyaviy huquqlariga, xususan shaxsiy hayotga daxlsizlik prinsipiga zid kelishi ehtimolini yuzaga keltiradi. Ushbu maqolada, ish beruvchilarning video kuzatuv, geolokatsiya, elektron pochta monitoringi kabi vositalarni qo‘llashi, bularning qonuniy chegaralari va xodimlarning huquqlari muhokama qilinadi.

Language skills development is a critical aspect of successful foreign language instruction. This article discusses some of the key strategies, methodologies, and approaches to enhance the four primary language skills of listening, speaking, reading, and writing. The discussion highlights the use of communicative competence, learner-centered methods, and technology in the classroom to achieve authentic language learning. The study also covers the role of task-based learning, authentic materials, and formative assessment in facilitating skill development. Furthermore, the article points out challenges language teachers face, such as learner motivation and varying levels of proficiency, and provides practical solutions to addressing them. Through a study of prevailing trends and developments in pedagogy, this research further illuminates the manner in which foreign language teaching can be optimized to meet the diverse needs of learners in our current globalized environment.

Ushbu maqolada, oʻzining sodda, teran ravon va mazmunli ijodi, mashhur shoir “Erkin Vohidov”ning "Nido"dostonidagi qoʻllangan metafora usulini qoʻllanilishi. Ushbu dostonda oʻzbek xalqining farzandini otasiga boʻlgan mexri va muxabbati, oilasiga boʻlgan sogʻinch hissi tasvirlangan. Bu dostonda metafora maʼnoni yanada yorqin va taʼsirli anniq va tez tushunishga, yorqin, taʼsirli qilib yetkazib berish usuli sanaladi va bu usuldan "Erkin Vohidov"sheʼriyatida mohirona foydalaniladi.