Kirish. Asosiy qism. Sanoqsiz to ‘plamlar


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Bog'liq
kantor to\'plami

Ta’rif. segmentdagi nuqtalar to ‘plamiga ekvivalent bo ‘lga
to ‘plamlarni kontinuum quvvatli to ‘plamlar deyiladi.
Tabiiyki albatta kontinuum quvvatga ega bo ‘lgan harqanday to ‘plam sanoqsiz to ‘plamdir .
Endi konyinuum quvvatli to ‘plamlar haqida bir nevhta teoremalar
ko ‘rib chiqamiz.
Teorema2. Har qanday segmentdagi nuqtalar to ‘plami kontinuum quvvatli to ‘plamdir.
Teorema1: segmentning nuqtalaridan iborat to ‘plam sanoqsizdir.
Natija . Har qanday yoki yarim oraliqlar va oraliqdagi nuqtalar to ‘plami continuum quvvatga ega .Kantor-Bernshteyn teoremasi va uning tadbiqlari haqida
ma ‘lumotga ega bo ‘ldim va va ularni hisoblashga doir misol yechdim.


Foydalanilgan adabiyotlar

  1. J.I.Abdullayev,R.N.G‘anixo‘jayev,M.N.Shermatov,O.I.Egamberdiyev” Funksional analiz va integral tenglamalar” Toshkent Yangi asr avlodi 2013-yil.

  2. Sarimsoqov T.A Funksional analiz kursi .Toshkent O‘qituvchi 1986-yil.

  3. SH.A Ayupov,M.A.Berduqulov,,R.M.Turg ‘unboyev.Funksiyalar nazariyasi.Toshkent.2008.

  4. Umarova U.U. (2021). Technology of using the method "Step by step" in teaching the topic "Jegalkin increases". Scientific progress. 2 (6), 1639-1644 b.

  5. Umarova U.U. (2021). Boomerang technology in the teaching of "Primitive recursive functions". Scientific progress. 2 (6), 890-897 b.

  6. Umarova U.U. (2021). "Cluster" and "Puzzle" methods in teaching the topic "Collection Theory". Scientific progress. 2 (6), 898-904 b.

  7. Boboyeva M.N. (2021). Prospects for improving the teaching of "mathematics" in schools. Science and Education. 2 (8), 486-495 b.

  8. Boboeva M.N., Rasulov T.H. (2020). The method of using problematic equation in teaching theory of matrix to students. Academy. 55: 4, pp. 68-71.

  9. Mardanova F.Ya., Rasulov T.H. (2020). Advantages and disadvantages of the method of working in small group in teaching higher mathematics. Academy. 55: 4, pp. 65-68.

  10. Rasulov T.Kh. (2020). Innovative technologies for studying the topic of linear integral equations. Science, technology and education. 73: 9, pp. 74-76.

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