Furye qatori. Funksiyalarni Furye qatoriga yoyish

Authors

  • Maxsud Tulqin o’g’li Usmonov Mirzo Ulug‘bek nomidagi O‘zbekiston Milliy universiteti

Keywords:

Furye qatori, Furye koeffitsiyentlari, Funksiyalarni Furye qatoriga yoyish

Abstract

Ushbu maqolada matematikaning eng muhim mavzularidan biri bo’lgan Furye qatori. Funksiyani Furye qatoriga yoyish tog’risida malumot keltirildi va mavjud muanmolar xal etildi. Agar f (x) funksiya [a;b] kesmada monoton bo‘lsa yoki [a;b] kesmani chekli sondagi qismiy kesmalarga bo‘lish mumkin bo‘lsa va bu kesmalarning har birida f (x) funksiya monoton (faqat o‘ssa yoki faqat kamaysa) yoki o‘zgarmas bo‘lsa, f (x) funksiyaga [a;b] kesmada bo‘laklimonoton funksiya deyiladi. Agar f (x) funksiya [a;b] kesmada chekli sondagi birinchi tur uzilish nuqtalariga ega bo‘lsa, f (x) funksiyaga [a;b] kesmada bo‘lakli-uzluksiz funksiya deyiladi. Agar f (x) funksiya [a;b] kesmada uzluksiz yoki bo‘lakli-uzluksiz bo‘lib, bo‘lakli-monoton bo‘lsa f (x) funksiya [a;b] kesmada Dirixle shartlarini qanoatlantiradi deyiladi. Bu hоllаrdа qo’yilgаn mаsаlаlаrni yеchishdа quyidа biz o’rgаnаdigаn qаtоrlаr nаzаriyasi kаttа аhаmiyatgа egа.

References

Usmonov, M. T. o‘g‘li. (2021). Matritsa rangi. Matritsa rangini tuzatish usullari. Fan va ta’lim, 2(8), 280-291. http://openscience.uz/index.php/sciedu/article/view/1758 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Matritsalar va ular ustida amallar. Fan va ta’lim, 2(8), 226-238. http://openscience.uz/index.php/sciedu/article/view/1752 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Vektorlar. Fan va ta’lim, 2(8), 173-182. https://openscience.uz/index.php/sciedu/article/view/1747 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Chiziqli algebraik tenglamalar tizimini echishning matritsa, Gauss va Gauss-Jordan usullari. Fan va ta’lim, 2(8), 312-322. http://openscience.uz/index.php/sciedu/article/view/1761 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Chiziqli operatorlar va komissiya xossalari. Fan va ta’lim, 2(8), 133-145. http://openscience.uz/index.php/sciedu/article/view/1744 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Chiziqli operatorlar va komissiya xossalari. Fan va ta’lim, 2(8), 146-152. http://openscience.uz/index.php/sciedu/article/view/1744 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Kvadratik forma va uni kanonik korinishga keltirish. Fan va ta’lim, 2(8), 153-172. https://www.openscience.uz/index.php/sciedu/article/view/1746 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Arifmetik vektor fazo va unga misollar. Fan va ta’lim, 2(8), 109-120. https://www.openscience.uz/index.php/sciedu/article/view/1742 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Vektorlarning skalyar ko‘paytmasi. Fan va ta’lim, 2(8), 183-191. https://www.openscience.uz/index.php/sciedu/article/view/1748 dan olindi.

Usmonov, M. T. o‘g‘li. (2021). Vektorlarning vektor va aralash ko‘paytmalari. Fan va ta’lim, 2(8), 271-279. http://openscience.uz/index.php/sciedu/article/view/1757 dan olindi.

Usmonov, M.T. & Shokirov.,Sh.H, (2022). Teylor formulasini matematik masalalarni еchishdagi ahamiyati. "«Science and Education» Scientific Journal" Scientific Journal, Tom-3, 19-23.

Usmonov, M.T. & Shokirov.,Sh.H, (2022). Dаrаjаli qаtоrlаrning tаqribiy hisоblаshlаrgа tаtbiqi. «Science and Education» Scientific Journal, Tom-3, 29-32.

Usmonov, M.T. & Shokirov.,Sh.H, (2022). Ishoralari almashinib keluvchi qatorlar. Leybnits alomati. «Science and Education» Scientific Journal, Tom-3, 24-28.

Usmonov, M.T. & Shokirov.,Sh.H, (2022). Teylor qatori va uning tadbiqlari. «Science and Education» Scientific Journal, Tom-3, 33-38.

Усмонов, М.Т. (2021). Вычисление центра тяжести плоской ограниченной фигуры с помощью двойного интеграла. «Science and Education» Scientific Journal, Tom-2, 64-71.

Усмонов, М.Т. (2021). Биномиальное распределение вероятностей. «Science and Education» Scientific Journal, Tom-2, 81-85.

Усмонов,М.T. (2021). Поток векторного поля. Поток через замкнутую поверхность. «Science and Education» Scientific Journal, Tom-2, 52-63.

Усмонов,М.T. (2021). Вычисление определенного интеграла по формуле трапеций и методом Симпсона. «Science and Education» Scientific Journal, Tom-2, 213-225.

Усмонов,М.T. (2021). Метод касательных. «Science and Education» Scientific Journal, Tom-2, 25-34.

Усмонов,М.T. (2021). Вычисление предела функции с помощью ряда. «Science and Education» Scientific Journal, Tom-2, 92-96.

Усмонов,М.T. (2021). Примеры решений произвольных тройных интегралов. Физические приложения тройного интеграла. «Science and Education» Scientific Journal, Tom-2, 39-51.

Усмонов,М.T. (2021). Вычисление двойного интеграла в полярной системе координат. «Science and Education» Scientific Journal, Tom-2, 97-108.

Усмонов,М.T. (2021). Криволинейный интеграл по замкнутому контуру. Формула Грина. Работа векторного поля. «Science and Education» Scientific Journal, Tom-2, 72-80.

Усмонов,М.T. (2021). Правило Крамера. Метод обратной матрицы. «Science and Education» Scientific Journal, Tom-2, 249-255.

Усмонов,М.T. (2021). Теоремы сложения и умножения вероятностей. Зависимые и независимые события. «Science and Education» Scientific Journal, Tom-2, 202-212.

Усмонов,М.T. (2021). Распределение и формула Пуассона. «Science and Education» Scientific Journal, Tom-2, 86-91.

Усмонов,М.T. (2021). Геометрическое распределение вероятностей. «Science and Education» Scientific Journal, Tom-2, 18-24.

Усмонов,М.T. (2021). Вычисление площади поверхности вращения. «Science and Education» Scientific Journal, Tom-2, 97-104.

Усмонов,М.T. (2021). Нахождение обратной матрицы. «Science and Education» Scientific Journal, Tom-2, 123-130.

Усмонов,М.T. (2021). Вычисление двойного интеграла. Примеры решений. «Science and Education» Scientific Journal, Tom-2, 192-201.

Усмонов,М.T. (2021). Метод прямоугольников. «Science and Education» Scientific Journal, Tom-2, 105-112.

Усмонов,М.T. (2021). Как вычислить длину дуги кривой?. «Science and Education» Scientific Journal, Tom-2, 86-96.

Усмонов,М.T. (2021). Вычисление площади фигуры в полярных координатах с помощью интеграла. «Science and Education» Scientific Journal, Tom-2, 77-85.

Усмонов,М.T. (2021). Повторные пределы. «Science and Education» Scientific Journal, Tom-2, 35-43.

Усмонов,М.T. (2021). Дифференциальные уравнения второго порядка и высших порядков. Линейные дифференциальные уравнения второго порядка с постоянными коэффициентами. «Science and Education» Scientific Journal, Tom-2, 113-122.

Усмонов,М.T. (2021). Пределы функций. Примеры решений. «Science and Education» Scientific Journal, Tom-2, 139-150.

Усмонов,М.T. (2021). Метод наименьших квадратов. «Science and Education» Scientific Journal, Tom-2, 54-65.

Усмонов,М.T. (2021). Непрерывность функции двух переменных. «Science and Education» Scientific Journal, Tom-2, 44-53.

Усмонов,М.T. (2021). Интегрирование корней (иррациональных функций). Примеры решений. «Science and Education» Scientific Journal, Tom-2, 239-248.

Усмонов,М.T. (2021). Криволинейные интегралы. Понятие и примеры решений. «Science and Education» Scientific Journal, Tom-2, 26-38.

Усмонов,М.T. (2021). Гипергеометрическое распределение вероятностей. «Science and Education» Scientific Journal, Tom-2, 19-25.

Усмонов,М.T. (2021). Абсолютная и условная сходимость несобственного интеграла. Признак Дирихле. Признак Абеля. «Science and Education» Scientific Journal, Tom-2, 66-76.

Усмонов,М.T. (2021). Решение систем линейных уравнений. «Science and Education» Scientific Journal, Tom-2, 131-138.

Usmonov, M.T. (2021). Matritsalar va ular ustida amallar. «Science and Education» Scientific Journal, Tom-2, 226-238.

Usmonov, M.T. (2021). Teskari matritsa. Teskari matritsani hisoblash usullari. «Science and Education» Scientific Journal, Tom-2, 292-302.

Usmonov, M.T. (2021). Bir jinsli chiziqli algebraik tenglamalar sistemasi. «Science and Education» Scientific Journal, Tom-2, 323-331.

Usmonov, M.T. (2021). Chiziqli fazo. Yevklid fazosi. «Science and Education» Scientific Journal, Tom-2, 121-132.

Usmonov, M.T. (2021). Vektorlarning skalyar ko ‘paytmasi. «Science and Education» Scientific Journal, Tom-2, 183-191.

Usmonov, M.T. (2021). Xos vektorlari bazis tashkil qiluvchi chiziqli operatorlar. «Science and Education» Scientific Journal, Tom-2, 146-152.

Usmonov, M.T. (2021). Chiziqli algebraik tenglamalar sistemasi va ularni еchish usullari. «Science and Education» Scientific Journal, Tom-2, 303-311.

Usmonov, M.T. (2021). Vektorlar. «Science and Education» Scientific Journal, Tom-2, 173-182.

Usmonov, M.T. (2021). Kvadratik forma va uni kanonik korinishga keltirish. «Science and Education» Scientific Journal, Tom-2, 153-172.

Usmonov, M.T. (2021). Arifmetik vektor fazo va unga misollar. «Science and Education» Scientific Journal, Tom-2, 109-120.

Usmonov, M.T. (2021). Chiziqli operatorlar va ularning xossalari. «Science and Education» Scientific Journal, Tom-2, 133-145.

Usmonov, M.T. (2021). Determinantlar nazariyasi. «Science and Education» Scientific Journal, Tom-2, 256-270.

Usmonov, M.T. (2021). Matritsa rangi. Matritsa rangini hisoblash usullari. «Science and Education» Scientific Journal, Tom-2, 280-291.

Usmonov, M.T. (2021). Autentification, authorization and administration. «Science and Education» Scientific Journal, Tom-2, 233-242.

Usmonov, M.T. (2021). Vektorlar nazariyasi elementlari. «Science and Education» Scientific Journal, Tom-2, 332-339.

Usmonov, M.T. (2021). EHTIMOLLAR NAZARIYASI. «Science and Education» Scientific Journal, Tom-1, 10-15.

Usmonov, M.T. (2021). Chiziqli algebraik tenglamalar sistemasi va ularni еchish usullari. «Science and Education» Scientific Journal, Tom-2, 333-311.

Usmonov, M.T. (2021). Bir jinsli chiziqli algebraik tenglamalar sistemasi. «Science and Education» Scientific Journal, Tom-21, 323-331.

Usmonov, M.T. (2021). Vektorlar nazariyasi elementlari. «Science and Education» Scientific Journal, Tom-2, 332-339.

Usmonov, M.T. (2021). Chiziqli fazo. Yevklid fazosi. «Science and Education» Scientific Journal, Tom-2, 121-132.

Usmonov M. T. & Qodirov F. E, BIR JINSLI VA BIR JINSLIGA OLIB KELINADIGAN DIFFERENSIAL TENGLAMALAR. AMALIY MASALALARGA TADBIQI (KO’ZGU MASALASI) , BARQARORLIK VA YETAKCHI TADQIQOTLAR ONLAYN ILMIY JURNALI: Vol. 2 No. 1 (2022): БАРҚАРОРЛИК ВА ЕТАКЧИ ТАДҚИҚОТЛАР ОНЛАЙН ИЛМИЙ ЖУРНАЛИ

Usmonov Maxsud Tulqin o‘g’li, Sayifov Botirali Zokir o'g'li, Negmatova Nilufar Ergash qizi, Qodirov Farrux Ergash o’g’li, BIRINCHI VA IKKINCHI TARTIBLI HUSUSIY HOSILALAR. TO’LA DIFFERENSIAL. TAQRIBIY HISOBLASH , BARQARORLIK VA YETAKCHI TADQIQOTLAR ONLAYN ILMIY JURNALI: 2022: SPECIAL ISSUE: ZAMONAVIY UZLUKSIZ TAʼLIM SIFATINI OSHIRISH ISTIQBOLLARI

Usmonov Maxsud Tulqin o‘g’li, Sayifov Botirali Zokir o'g'li, Negmatova Nilufar Ergash qizi, Qodirov Farrux Ergash o’g’li, IKKI ARGUMENTLI FUNKSIYANING ANIQLANISH SOHASI, GRAFIGI, LIMITI VA UZLUKSIZLIGI , BARQARORLIK VA YETAKCHI TADQIQOTLAR ONLAYN ILMIY JURNALI: 2022: SPECIAL ISSUE: ZAMONAVIY UZLUKSIZ TAʼLIM SIFATINI OSHIRISH ISTIQBOLLARI

Usmonov Maxsud Tulqin o'g'li. (2022). FURYE QATORI. FUNKSIYALARNI FURYE QATORIGA YOYISH. https://doi.org/10.5281/zenodo.6055125

Usmonov. M. T. ., & Qodirov. F. E. . (2022). DARAJALI QATORLAR. DARAJALI QATORLARNING YAQINLASHISH RADIUSI VA SOHASI. TEYLOR FORMULASI VA QATORI. IJTIMOIY FANLARDA INNOVASIYA ONLAYN ILMIY JURNALI, 8–20. Retrieved from http://www.sciencebox.uz/index.php/jis/article/view/1151

Usmonov. M. T. ., & Qodirov. F. E.. (2022). FURE QATORI VA UNING TADBIQLARI. IJTIMOIY FANLARDA INNOVASIYA ONLAYN ILMIY JURNALI, 21–33. Retrieved from http://www.sciencebox.uz/index.php/jis/article/view/1152

M.T Usmonov, M.A Turdiyeva, Y.Q Shoniyozova, (2021). SAMPLE POWER. SELECTION METHODS (SAMPLE ORGANIZATION METHODS). ООО НАУЧНАЯ ЭЛЕКТРОННАЯ БИБЛИОТЕКА , 59-60.

Усмонов,М.T, М.А.Турдиева (2021). ГЛАВА 9. МЕТОДЫ И СРЕДСТВА СОВРЕМЕННОЙ ЗАЩИТЫ КОМПЬЮТЕРНЫХ СЕТЕЙ. РИСКИ И ПРИНЦИПЫ ЗАЩИТЫ ИНФОРМАЦИИ В ЭЛЕКТРОННОЙ ПОЧТЕ. ББК 60 С69, Ст-99.

Усмонов,М.T, J.M.Saipnazarov, K.B. Ablaqulov (2021 SOLUTION OF MATHEMATICAL PROBLEMS IN LOWER CLASSES. Книга: АКТУАЛЬНЫЕ ВОПРОСЫ СОВРЕМЕННОЙ НАУКИ И ОБРАЗОВАНИЯ, 167-177.

Усмонов М.Т. (2022). E-LEARNING И ЕГО РОЛЬ В СОВРЕМЕННОЙ СИСТЕМЕ ОБРАЗОВАНИЯ. : Special Issue_Taʼlimni modernizatsiyalash jarayonlari muammolar va еchimlar». 168-171.

Usmonov. M. T. ., & Qodirov. F. E.. (2022). STOKS FORMULASI. SIRT INTEGRALLARI TADBIQLARI. IJTIMOIY FANLARDA INNOVASIYA ONLAYN ILMIY JURNALI, 34–45. Retrieved from https://sciencebox.uz/index.php/jis/article/view/1153

Usmonov M. T. The Concept of Compatibility, Actions on Compatibility. International Journal of Academic Multidisciplinary Research (IJAMR), Vol. 5 Issue 1, January - 2021, Pages: 10-13.

Usmonov M. T. The Concept of Number. The Establishment of the Concept of Natural Number and Zero. International Journal of Academic Information Systems Research (IJAISR), Vol. 4 Issue 12, December - 2020, Pages: 7-9.

Usmonov M. T. The Concept of Compatibility, Actions on Compatibility. International Journal of Engineering and Information Systems (IJEAIS), Vol. 4 Issue 12, December - 2020, Pages: 66-68.

Usmonov M. T. General Concept of Mathematics and Its History. International Journal of Academic Multidisciplinary Research (IJAMR). Vol. 4 Issue 12, December - 2020, Pages: 38-42

Usmonov M. T. Asymmetric Cryptosystems. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 6-9.

Usmonov M. T. Basic Concepts of Information Security. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 5-8.

Usmonov M. T. Communication Control Systems, Methodology. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 47-50.

Usmonov M. T. Compatibility between the Two Package Elements. Binar Relations and Their Properties. International Journal of Academic Multidisciplinary Research (IJAMR) ISSN: 2643-9670 Vol. 5 Issue 1, January - 2021, Pages: 52-54.

Usmonov M. T. Cryptographic Protection of Information. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 24-26.

Usmonov M. T. Electronic Digital Signature. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 30-34.

Usmonov M. T. "Equal" And "Small" Relations. Add. Laws Of Addition. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 27-29.

Usmonov M. T. Establish Network Protection. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 14-21.

Usmonov M. T. Fundamentals of Symmetric Cryptosystem. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 36-40.

Usmonov M. T. General Concepts of Mathematics. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 14-16.

Usmonov M. T. Identification and Authentication. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 39-47.

Usmonov M. T. Information Protection and Its Types. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 1-4.

Usmonov M. T. Information Protection in Wireless Communication Systems. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 61-64.

Usmonov M. T. Information protection supply. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 12-15.

Usmonov M. T. Information Security Policy. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 70-73.

Usmonov M. T. Information War. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 79-82.

Usmonov M. T. International and National Legal Base in the Field Of Information Security. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 7-14.

Usmonov M. T. Legal Legislative Basis for Detection of Information Crime. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 80-87.

Usmonov M. T. Mathematical Proofs. Incomplete Induction, Deduction, Analogy. The Concept Of Algorithm And Its Properties. International Journal of Academic Multidisciplinary Research (IJAMR) ISSN: 2643-9670 Vol. 5 Issue 1, January - 2021, Pages: 26-29.

Usmonov M. T. Means of Information Protection. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 27-30.

Usmonov M. T. Organization of E-Mail Protection. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 36-40.

Usmonov M. T. Organizing Internet Protection. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 24-28.

Usmonov M. T. Origin and Equal Strength Relationships between Sentences. Necessary and Sufficient Conditions. Structure of Theorem and Their Types. International Journal of Engineering and Information Systems (IJEAIS) ISSN: 2643-640X Vol. 5 Issue 1, January - 2021, Pages: 45-47.

Usmonov M. T. PhysicalSecurity. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 58-61.

Usmonov M. T. Practical Security Management. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 71-74.

Usmonov M. T. Problem Solving In Primary Schools. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 72-83.

Usmonov M. T. Reproduction. The Laws of Reproduction. International Journal of Engineering and Information Systems (IJEAIS) ISSN: 2643-640X Vol. 5 Issue 1, January - 2021, Pages: 36-40.

Usmonov M. T. Security Models. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 18-23.

Usmonov M. T. Solving Problems In Arithmetic Methods. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 58-61.

Usmonov M. T. Stenographic Protection of Information. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 31-35.

Usmonov M. T. Telecommunications and Network Security. International Journal of Academic Engineering Research (IJAER) ISSN: 2643-9085 Vol. 5 Issue 1, January - 2021, Pages: 57-61.

Usmonov M. T. The Concept of Compatibility, Actions on Compatibility. International Journal of Academic Multidisciplinary Research (IJAMR) ISSN: 2643-9670 Vol. 5 Issue 1, January - 2021, Pages: 10-13.

Usmonov M. T. The Concept Of National Security. International Journal of Academic and Applied Research (IJAAR) ISSN: 2643-9603 Vol. 5 Issue 1, January - 2021, Pages: 73-75.

Usmonov M. T. The Concept of Number. The Establishment of the Concept of Natural Number and Zero. International Journal of Academic Multidisciplinary Research (IJAMR) ISSN: 2643-9670 Vol. 5 Issue 1, January - 2021, Pages: 18-21.

Usmonov M. T. The Concept of Relationship. Characteristics of Relationships. International Journal of Academic Multidisciplinary Research (IJAMR) ISSN: 2643-9670 Vol. 5 Issue 1, January - 2021, Pages: 38-40.

Usmonov M. T. The Concept of Size and Measurement. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 36-40.

Usmonov M. T. The Emergence and Development of Methods of Writing All Negative Numbers. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 48-50.

Usmonov M. T. The Purpose, Function and History Of The Development Of Mathematical Science. International Journal of Engineering and Information Systems (IJEAIS) ISSN: 2643-640X Vol. 5 Issue 1, January - 2021, Pages: 8-17.

Usmonov M. T. True and False Thoughts, Quantities. International Journal of Academic Information Systems Research (IJAISR) ISSN: 2643-9026 Vol. 5 Issue 1, January - 2021, Pages: 1-5.

Usmonov M. T. Virtual Protected Networks. International Journal of Academic Pedagogical Research (IJAPR) ISSN: 2643-9123 Vol. 5 Issue 1, January - 2021, Pages: 55-57.

Usmonov M. T. What Is Solving The Problem? Methods of Solving Text Problems. International Journal of Engineering and Information Systems (IJEAIS) ISSN: 2643-640X Vol. 5 Issue 1, January - 2021, Pages: 56-58.

Downloads

Published

2023-01-28

How to Cite

Usmonov, M. T. o’g’li. (2023). Furye qatori. Funksiyalarni Furye qatoriga yoyish. Science and Education, 4(1), 77–93. Retrieved from https://openscience.uz/index.php/sciedu/article/view/4801