Program matematika Pusat backend Pelajar Pengajar D10 · tampilan pengajar · course-learning-capability/1
Pemilih unit dan latihan
Susun rencana bacaan dari 94 identitas unit native. Ekspor menyimpan ID, judul, halaman, latihan, petunjuk, formula, koreksi, dan tautan sumber tepat—tanpa menyalin badan buku atau menciptakan hasil belajar dan solusi.
94 unit yang dapat dipilih
1,096 ID latihan eksak
132 keputusan istilah
420 koreksi sumber/target
Jangan dibaca sebagai bank jawaban: hasil dan bukti matematis dalam backend akhir adalah struktur buku. Adapter mengakui nol solusi lengkap dan hanya 276 petunjuk eksplisit.
Saring unit Pilih yang terlihat Kosongkan Ekspor JSON 0 dipilih
1. Bagian awal, kerangka daftar isi, pendahuluan umum, dan catatan edisi O007-FREMLIN-V1-FRONT-MT10 · front_matterFront matter, contents frame, general introduction, and edition notes 0 latihan 2. Entri daftar isi Jilid 1 O007-FREMLIN-V1-FRONT-MT01 · front_matterVolume 1 contents entries 0 latihan 3. Pendahuluan Jilid 1 O007-FREMLIN-V1-FRONT-MT1 · front_matterIntroduction to Volume 1 0 latihan 4. Pendahuluan Bab 11 O007-FREMLIN-V1-FRONT-MT11 · front_matterChapter 11 introduction 0 latihan 5. Aljabar sigma O007-FREMLIN-V1-S111 · sectionSigma-algebras 11 latihan 6. Ruang ukur O007-FREMLIN-V1-S112 · sectionMeasure spaces 12 latihan 7. Ukuran luar dan konstruksi Carathéodory O007-FREMLIN-V1-S113 · sectionOuter measures and Caratheodory's construction 19 latihan 8. Ukuran Lebesgue pada R O007-FREMLIN-V1-S114 · sectionLebesgue measure on R 19 latihan 9. Ukuran Lebesgue pada R^r O007-FREMLIN-V1-S115 · sectionLebesgue measure on R^r 10 latihan 10. Pendahuluan Bab 12 O007-FREMLIN-V1-FRONT-MT12 · front_matterChapter 12 introduction 0 latihan 11. Fungsi terukur O007-FREMLIN-V1-S121 · sectionMeasurable functions 11 latihan 12. Definisi integral O007-FREMLIN-V1-S122 · sectionDefinition of the integral 19 latihan 13. Teorema-teorema konvergensi O007-FREMLIN-V1-S123 · sectionThe convergence theorems 10 latihan 14. Pendahuluan Bab 13 O007-FREMLIN-V1-CH13-INTRO · chapter_introductionChapter 13 introduction 0 latihan 15. Subruang terukur O007-FREMLIN-V1-S131 · sectionMeasurable subspaces 4 latihan 16. Ukuran luar dari ukuran O007-FREMLIN-V1-S132 · sectionOuter measures from measures 17 latihan 17. Konsep integrasi yang lebih luas O007-FREMLIN-V1-S133 · sectionWider concepts of integration 11 latihan 18. Lebih lanjut tentang ukuran Lebesgue O007-FREMLIN-V1-S134 · sectionMore on Lebesgue measure 31 latihan 19. Garis real diperluas O007-FREMLIN-V1-S135 · sectionThe extended real line 10 latihan 20. Teorema Kelas Monoton O007-FREMLIN-V1-S136 · sectionThe Monotone Class Theorem 14 latihan 21. Lampiran Jilid 1: Fakta-Fakta Berguna O007-FREMLIN-V1-APPENDIX-INTRO · appendix_introductionAppendix to Volume 1: Useful Facts 0 latihan 22. Teori himpunan O007-FREMLIN-V1-A1 · appendix_sectionSet theory 0 latihan 23. Himpunan terbuka dan tertutup dalam R^r O007-FREMLIN-V1-A2 · appendix_sectionOpen and closed sets in R^r 0 latihan 24. Limit superior dan limit inferior O007-FREMLIN-V1-A3 · appendix_sectionLim sups and lim infs 0 latihan 25. Konkordansi O007-FREMLIN-V1-CONCORDANCE · concordanceConcordance 0 latihan 26. Referensi untuk Jilid 1 O007-FREMLIN-V1-REFERENCES · referencesReferences for Volume 1 0 latihan 27. Indeks Jilid 1 O007-FREMLIN-V1-MTI · indexIndex to Volume 1 0 latihan 28. Pendahuluan Bab 21 O007-FREMLIN-V2-CH21 · chapter_introductionChapter 21 introduction 0 latihan 29. Definisi O007-FREMLIN-V2-S211 · sectionDefinitions 12 latihan 30. Ruang lengkap O007-FREMLIN-V2-S212 · sectionComplete spaces 11 latihan 31. Ruang semihingga, ditentukan secara lokal, dan dapat dilokalkan O007-FREMLIN-V2-S213 · sectionSemi-finite, locally determined and localizable spaces 21 latihan 32. Subruang O007-FREMLIN-V2-S214 · sectionSubspaces 18 latihan 33. Ruang sigma-hingga dan prinsip penghabisan O007-FREMLIN-V2-S215 · sectionSigma-finite spaces and the principle of exhaustion 10 latihan 34. Contoh-contoh O007-FREMLIN-V2-S216 · sectionExamples 8 latihan 35. Pendahuluan Bab 22 O007-FREMLIN-V2-CH22-INTRO · chapter_introductionChapter 22 introduction 0 latihan 36. Teorema Vitali di R O007-FREMLIN-V2-S221 · sectionVitali's theorem in R 6 latihan 37. Mendiferensialkan integral tak tentu O007-FREMLIN-V2-S222 · sectionDifferentiating an indefinite integral 9 latihan 38. Teorema-teorema kerapatan Lebesgue O007-FREMLIN-V2-S223 · sectionLebesgue's density theorems 19 latihan 39. Fungsi bervariasi terbatas O007-FREMLIN-V2-S224 · sectionFunctions of bounded variation 23 latihan 40. Fungsi kontinu mutlak O007-FREMLIN-V2-S225 · sectionAbsolutely continuous functions 21 latihan 41. Dekomposisi Lebesgue suatu fungsi bervariasi terbatas O007-FREMLIN-V2-S226 · sectionThe Lebesgue decomposition of a function of bounded variation 10 latihan 42. Pendahuluan Bab 23 O007-FREMLIN-V2-C23-INTRO · chapter_introductionChapter 23 introduction 0 latihan 43. Fungsional aditif terhitung O007-FREMLIN-V2-S231 · sectionCountably additive functionals 16 latihan 44. Teorema Radon--Nikodým O007-FREMLIN-V2-S232 · sectionThe Radon-Nikodym theorem 19 latihan 45. Ekspektasi bersyarat O007-FREMLIN-V2-S233 · sectionConditional expectations 18 latihan 46. Operasi pada ukuran O007-FREMLIN-V2-S234 · sectionOperations on measures 29 latihan 47. Transformasi terukur O007-FREMLIN-V2-S235 · sectionMeasurable transformations 16 latihan 48. Pendahuluan Bab 24 O007-FREMLIN-V2-C24-INTRO · chapter_introductionChapter 24 introduction 0 latihan 49. $\eusm L^0$ dan $L^0$ O007-FREMLIN-V2-S241 · section$\mathcal L^0$ and $L^0$ 18 latihan 50. $L^1$ O007-FREMLIN-V2-S242 · section$L^1$ 22 latihan 51. $L^{\infty}$ O007-FREMLIN-V2-S243 · section$L^{\infty}$ 16 latihan 52. $L^p$ O007-FREMLIN-V2-S244 · section$L^p$ 30 latihan 53. Konvergensi dalam ukuran O007-FREMLIN-V2-S245 · sectionConvergence in measure 23 latihan 54. Keterintegralan seragam O007-FREMLIN-V2-S246 · sectionUniform integrability 21 latihan 55. Kekompakan lemah di L^1 O007-FREMLIN-V2-S247 · sectionWeak compactness in L^1 7 latihan 56. Pendahuluan Bab 25 O007-FREMLIN-V2-C25-INTRO · chapter_introductionChapter 25 introduction 0 latihan 57. Produk berhingga O007-FREMLIN-V2-S251 · sectionFinite products 25 latihan 58. Teorema Fubini O007-FREMLIN-V2-S252 · sectionFubini's theorem 31 latihan 59. Produk tensor O007-FREMLIN-V2-S253 · sectionTensor products 21 latihan 60. Produk tak hingga O007-FREMLIN-V2-S254 · sectionInfinite products 27 latihan 61. Konvolusi fungsi O007-FREMLIN-V2-S255 · sectionConvolutions of functions 26 latihan 62. Ukuran Radon pada R^r O007-FREMLIN-V2-S256 · sectionRadon measures on R^r 18 latihan 63. Konvolusi ukuran O007-FREMLIN-V2-S257 · sectionConvolutions of measures 8 latihan 64. Perubahan variabel dalam integral O007-FREMLIN-V2-CH26-INTRO · chapter_introductionChange of Variable in the Integral 0 latihan 65. Teorema Vitali di R^r O007-FREMLIN-V2-S261 · sectionVitali's theorem in R^r 15 latihan 66. Fungsi Lipschitz dan diferensiabilitas O007-FREMLIN-V2-S262 · sectionLipschitz and differentiable functions 21 latihan 67. Transformasi terdiferensialkan di R^r O007-FREMLIN-V2-S263 · sectionDifferentiable transformations in R^r 13 latihan 68. Ukuran Hausdorff O007-FREMLIN-V2-S264 · sectionHausdorff measures 24 latihan 69. Ukuran Hausdorff dari permukaan O007-FREMLIN-V2-S265 · sectionSurface measures 8 latihan 70. Ketaksamaan Brunn--Minkowski O007-FREMLIN-V2-S266 · sectionThe Brunn--Minkowski inequality 3 latihan 71. Teori probabilitas O007-FREMLIN-V2-CH27-INTRO · chapter_introductionProbability theory 0 latihan 72. Distribusi O007-FREMLIN-V2-S271 · sectionDistributions 11 latihan 73. Kebebasan O007-FREMLIN-V2-S272 · sectionIndependence 20 latihan 74. Hukum kuat bilangan besar O007-FREMLIN-V2-S273 · sectionThe strong law of large numbers 17 latihan 75. Teorema limit pusat O007-FREMLIN-V2-S274 · sectionThe Central Limit Theorem 18 latihan 76. Martingal O007-FREMLIN-V2-S275 · sectionMartingales 30 latihan 77. Barisan selisih martingal O007-FREMLIN-V2-S276 · sectionMartingale difference sequences 15 latihan 78. Analisis Fourier O007-FREMLIN-V2-CH28-INTRO · chapter_introductionFourier analysis 0 latihan 79. Teorema Stone-Weierstrass O007-FREMLIN-V2-S281 · sectionThe Stone-Weierstrass theorem 21 latihan 80. Deret Fourier O007-FREMLIN-V2-S282 · sectionFourier series 26 latihan 81. Transformasi Fourier I O007-FREMLIN-V2-S283 · sectionFourier transforms I 25 latihan 82. Transformasi Fourier II O007-FREMLIN-V2-S284 · sectionFourier transforms II 28 latihan 83. Fungsi karakteristik O007-FREMLIN-V2-S285 · sectionCharacteristic functions 41 latihan 84. Teorema Carleson O007-FREMLIN-V2-S286 · sectionCarleson's theorem 3 latihan 85. Lampiran O007-FREMLIN-V2-APPENDIX-INTRO · appendix_introductionAppendix 0 latihan 86. Teori himpunan O007-FREMLIN-V2-APP-2A1 · appendix_sectionSet theory 0 latihan 87. Topologi ruang Euklides O007-FREMLIN-V2-APP-2A2 · appendix_sectionThe topology of Euclidean space 0 latihan 88. Topologi umum O007-FREMLIN-V2-APP-2A3 · appendix_sectionGeneral topology 0 latihan 89. Ruang bernorma O007-FREMLIN-V2-APP-2A4 · appendix_sectionNormed spaces 0 latihan 90. Ruang topologis linear O007-FREMLIN-V2-APP-2A5 · appendix_sectionLinear topological spaces 0 latihan 91. Faktorisasi matriks O007-FREMLIN-V2-S2A6 · sectionFactorization of matrices 0 latihan 92. Konkordansi O007-FREMLIN-V2-CONCORDANCE · concordanceConcordance 0 latihan 93. Referensi O007-FREMLIN-V2-REFERENCES · referencesReferences 0 latihan 94. Indeks Jilid I dan II O007-FREMLIN-V2-MTI-V12 · indexIndex to Volumes I and II 0 latihan
Bukti dan data Peta pengajar · Istilah, koreksi, dan hak komponen · Ledger dan provenance · Jalur pelajar
Batas adapter Pemilih ini menyusun paket ID unit/latihan dan tautan sumber, bukan menyalin isi buku. Judul, urutan, halaman, latihan, petunjuk, formula, dan koreksi berasal dari backend native; hasil belajar atau rubrik tidak direka. Bukti hasil/proof pada tranche akhir adalah struktur matematika buku, bukan jawaban latihan.