Beta funksiyasi, ehtimollik nazariyasi va statistikada muhim ahamiyatga ega. U beta taqsimotini ifodalashda qo‘llaniladi, bu taqsimot esa o‘zgaruvchilarning chegarali intervaldagi taqsimlanishiga asoslangan modellarni yaratishda qo‘llanadi. Statistikada va genetika, molekulyar biologiya kabi sohalarda beta funksiyasi orqali optimallashtirish va parametrlarni baholash amalga oshiriladi.

This paper examines the relationship between fast food and home-cooked meals, as well as their respective impacts on health, nutrition, and lifestyle factors. This research aims to determine which alternative has the most positive influence on physical well-being, long-term health, and dietary balance. A diverse cohort of participants was utilized to gather data concerning eating behaviors, frequency of consumption, and associated health outcomes. The findings suggest that individuals who frequently consume home-cooked meals are less likely to be overweight, exhibit higher energy intake, and have a lower risk of developing chronic diseases. Prior research has also indicated that home cooking contributes to improved portion control and nutrient intake. These results highlight the benefits of pot roast in comparison to fast food in terms of life extension.

Mazkur maqolada Turkiston jadidlari orasida yirik siymo, adib, notiq, pedagog, qomusiy bilim egasi, jamoat arbobi Munavvarqori Abdurashidxonovning (1878-1931) maorif tizimini isloh qilish haqidagi g‘oyalari tahlili amalga oshirilgan. Maqolada Munavvar qorining jadid maktablarini tashkil etish, milliy ta’lim tizimini rivojlantirish hamda jamiyat taraqqiyotiga qo’shgan hissasi tahlil qilinadi. Shuningdek, Munavvarqori Abdurashidxonovning siyosiy, ma’naviy - ma’rifiy g‘oyalari, barkamol avlod, komil inson tarbiyasi, milliy ta’lim, milliy axloq, milliy tarbiyaning o‘rni va rolini talqin qilgani uning bugungi kun ta’lim va madaniyat rivojiga ta’siri muhokama etiladi.

This article examines the evolving challenges that artificial intelligence (AI) poses to traditional copyright frameworks, focusing specifically on AI-generated content. It begins by defining AI-generated works and exploring why these outputs disrupt long-standing legal principles, such as human authorship, originality, and creative expression. The article then conducts a comparative legal analysis between the United States and Uzbekistan—two jurisdictions with markedly different levels of technological development and legal infrastructure. In the U.S., copyright protection is explicitly reserved for human creators, as reinforced by recent case law and the U.S. Copyright Office’s guidance. Conversely, Uzbekistan's legal framework does not yet address AI-generated content, offering both challenges due to legal uncertainty and opportunities for progressive reform. The article highlights the lack of legal precedent in Uzbekistan and underscores the importance of establishing a coherent IP policy that balances innovation and legal protection. Through this comparative approach, the article aims to inform policymakers, scholars, and practitioners on how different jurisdictions can adapt or reform copyright law in response to AI advancements. It concludes by advocating for flexible, forward-looking legal strategies that accommodate technological change while upholding the fundamental principles of intellectual property.

Ushbu maqolada turkologiyaning dolzarb mavzularidan biri, xususan, hozirgi qoraqalpoq tilshunosligidagi etnografizmlar muhokama qilinadi. Ayniqsa, bu yo‘nalishda chuqur va har tomonlama tadqiqot olib borish muhim ahamiyat kasb etadi. Maqolada qoraqalpoq adabiyotining yetuk vakili, shoira G. Davletova ijodida uchraydigan etnografizmlar uslubiy jihatdan tahlili amalga oshirilgan.