This article examines the possibilities of using compensation and supercompensation mechanisms within the system of modifying training loads during competitive and inter-competitive cycles, taking into account the phased increase of training loads and the development of athletes’ work capacity based on long-term scientific research. Systems for modifying training loads based on the assessment of the athlete’s current condition and the identification of training shifts make it possible to intensify the training process and increase its effectiveness.

Linking mathematics education with real-life processes is one of the priority directions of modern pedagogy, and particularly in the context of academic lyceums it is essential to develop students’ awareness of the practical significance of mathematical knowledge as well as their ability to apply it in future professional activities. This article provides an in-depth scientific and methodological analysis of the economic meaning of the integral concept and substantiates the role of integrals in modeling continuous economic processes, including total cost, total revenue, production dynamics over time, savings, and consumption processes. It is demonstrated that modeling economic processes through integrals enables students to connect the theoretical foundations of mathematical analysis with real economic situations, thereby fostering analytical thinking and functional literacy on the basis of sound scientific arguments [1], [5].

Ushbu maqolada o‘zbek va xitoy tillaridagi sonlarning lingvokulturologik xususiyatlari keng tahlil qilingan. Maqolada til va madaniyat o‘rtasidagi o‘zaro bog‘liqlik, sonlar orqali milliy ruhiyat, qadriyatlar va mentalitetning aks ettirilishi ko‘rsatib beriladi. O‘zbekiston va Xitoy tillarida sonlar qanday qilib madaniy kontekstda qaralishi, ularning tarixi va folklor kontekstidagi ahamiyati muhokama qilinadi. O‘zbek tilidagi sonlarning semantikasi va Xitoy tilidagi raqamlarga bo‘lgan madaniy munosabatlar solishtiriladi. Sonlarning turli xususiyatlari, jumladan, ularga bog‘langan afsonalar, an'analar va urf-odatlar keltirilgan. Ushbu tadqiqot natijalari o‘zbek va xitoy tillarini o‘rganayotgan talabalar va lingvistik tadqiqotchilar uchun qimmatli manba bo‘lishi kutilmoqda.

Mazkur maqolada ingliz tilini o‘qitish jarayonida kommunikativ yondashuvning nazariy-metodik asoslari, uning an’anaviy grammatik-tarjima usullari bilan qiyosiy ustun jihatlari hamda zamonaviy ta’lim muhitida, xususan, tabiiy fanlar, jumladan biologiya yo‘nalishida ta’lim olayotgan o‘quvchi va talabalarning kasbiy-kommunikativ kompetensiyalarini shakllantirishdagi samaradorligi chuqur tahlil qilinadi. Maqolada kommunikativ yondashuvning real nutqiy vaziyatlarga asoslanishi, talabalarning faol ishtirokini ta’minlashi, fanlararo integratsiyani kuchaytirishi hamda biologik terminologiyani kontekst asosida o‘zlashtirishga imkon yaratishi ilmiy-metodik dalillar asosida yoritiladi. Tadqiqot davomida xorijiy va mahalliy ilmiy manbalar tahlil qilinib, kommunikativ yondashuvning o‘qituvchi va o‘quvchi o‘rtasidagi pedagogik hamkorlikni rivojlantirishdagi o‘rni asoslab beriladi.

Mazkur maqolada bel og‘riqlarining etiologik mexanizmlari, umurtqa pog‘onasi segmentlarida sodir bo‘ladigan funksional buzilishlarning patobiologik asoslari, shuningdek, ularni bartaraf etishda manual terapiya va fizioterapiya usullarining o‘zaro integratsiyasi samaradorligini yoritishga qaratilgan ilmiy tahlillar keltirilgan bo‘lib, ayniqsa, muskuloskelet tizimi faoliyatidagi disbalanslarni tuzatishda qo‘llaniladigan qo‘l bilan manipulyatsiya, yumshoq to‘qimalar mobilizatsiyasi, tortish muolajalari, elektroterapiya, ultratovush, magnitoterapiya, harakat terapiyasi kabi muolajalar kompleks qo‘llanilganda yuzaga keladigan sinergetik ta’sirlar chuqur biologik-fiziologik nuqtayi nazardan sharhlanadi [1], [4], [13]. Bel og‘rig‘ining surunkali shaklga o‘tishida paylar, ligamentlar va paravertebral mushaklarda rivojlanadigan miofastsial disfunktsiyalarni kamaytirishda har ikki usulning to‘g‘ri ketma-ketlikda qo‘llanishi tiklanishga qisqa muddatda erishishni ta’minlashi ilmiy manbalar asosida asoslab beriladi.