7 13 integration and differentiation of fourier series

... 7. 3 7. 4 7. 5 7. 6 7. 7 7. 8 7. 9 7. 10 *7. 11 *7. 12 *7. 13 *7. 14 *7. 15 *7. 16 *7. 17 *7. 18 *7. 19 *7. 20 Trigonometric Series 4 67 Fourier Series 469 Convergence of Fourier Series 47 Examples rn Minimizing of ... 502 Integration and Differentiation of Fourier Series 504 Fourier- Legendre Series 508 Fourier- Bessel Series 512 Orthogonal Systems of Functions of Several Variables 5 17 Complex Form of Fourier Series ... Minimizing of Square Error 473 Generalizations rn Fourier Cosine Series Fourier Sine Series 479 Remarks on Applications of Fourier Series 485 Uniqueness Theorem 486 Proof of Fundamental Theorem for...

Ngày tải lên: 31/03/2014, 15:27

... points of it are vertices of an isosceles triangle We notice that non-Archimedean metrics are useful tools in many problems of fixed point theory (see, e.g., [6, proofs of Theorems 3, 4, and 5] ... diameter of X Then it is obvious that Rn are reflexive, symmetric and conditions (i) and (ii) of Theorem 1.1 hold The transitivity of Rn follows easily from (1.2) We verify condition (iii) of Theorem ... restriction of the BCP to the class of nonArchimedean bounded metric spaces Proof By Theorem 3.1, the assumptions of ET and BCP∗ are equivalent Thus we need here only to verify the suitable property of...

Ngày tải lên: 23/06/2014, 00:20

... swelling Fertil Steril 20 07, 88(Suppl 6):1 674 -1 675 Hartigan CM, Holloway BJ: Case report: MR imaging features of endometriosis at the umbilicus Br J Radiol 2005, 78 :75 5 -75 7 De Giorgi V, Massi D, ... extravasation of the mucinous Umbilical endometriosis: endometriotic glands with metaplasia of the mucinous type and extravasation of the mucinous secretion into the adjacent stroma Majority of these ... patient has been warned of the risk of scar endometriosis and of recurrence 11 12 Sampson JA: Perforating hemorrhagic (chocolate) cysts of the ovary: their importance and especially their relation...

Ngày tải lên: 11/08/2014, 14:21

... Journal of Medical Case Reports 2008, 2 :71 http://www.jmedicalcasereports.com/content/2/1 /71 Figure Localised swelling on the left-hand side of the tongue Localised swelling on the left-hand side of ... Maxillofac 1 972 , 21(1) :71 Publish with Bio Med Central and every scientist can read your work free of charge "BioMed Central will be the most significant development for disseminating the results of ... after three months a scar was seen on the top of the left-hand side of the tongue (please see Figure 2) No other disability was reported and the sense of taste had also returned to normal The author(s)...

Ngày tải lên: 11/08/2014, 23:21

... N 1026 980 71 9 1449 2003 2 171 1024 1596 1554 940 439 1 472 78 9 492 1925 686 1563 151 159 838 30 07 1040 3134 1003 3 171 1034 3140 860 3314 1029 3145 655 3518 651 3518 75 6 3 413 70 1 3 470 Cases 58 ... 1 .72 -9.93 1.20-8 .73 1.30 -7. 30 0 .76 -4.90 OR 2 .77 1.58 1.10 1.00 1.35 1.00 4.88 2.10 1.00 4 .13 3.24 3.08 1.93 1.00 0.00 0.02 0.01 0. 17 OR 2.68 1.58 1.14 1.00 1.42 1.00 5.05 2 .13 1.00 3 .74 3 .13 ... 64 50 26 41 13 56 21 89 14 37 30 98 45 95 45 95 33 1 07 34 106 33 1 07 41 99 29 111 38 102 36 104 Model I 95% CI 1 .77 -4.33 0.96-2.61 0.59-2.05 P 0.00 0. 07 0 .77 0.92-1.98 0.12 3.02 -7. 88 1.28-3.45...

Ngày tải lên: 26/10/2012, 10:03

... 6,000 7, 300 5,500 5 ,78 2 5,600 5,000 4,500 5,440 4,200 4,000 3,900 4,398 3,188 2 ,78 8 2,969 2,000 3,500 2,548 2,000 1,000 20 07 Epidural rate (%) 27 85 50 90 55 40 45 70 54 56 70 60 53 20 45 27 38 67 ... formula: OAAI = ( no of epidurals per yr * 0 .75 ) + ( no of cesareans per yr *1.5 )  / 365   (1) The ratio of the epidural and cesarean components of the OAAI (OAAI EPI and OAAI CD) was also ... to improving the standards of services Int J Obst Anesth 19 97, 6:250–6 10 Engen DA, Morewood GH, Ghazar NJ, Ashbury T, VanDenKerkhof EG, Wang L: A demand-based assessment of the Canadian anesthesia...

Ngày tải lên: 05/03/2014, 15:20

... (MB); 145 .7 ± 2.5 nm, n = 37 (MT) for plugged] (E) The upper rim diameter was measured and plotted [mean ± SEM; 70 .2 ± 1.9 nm, n = 58 (MB); 78 .1 ± 2.3 nm, n = 23 (MT) for unplugged, and 76 .1 ± 1.5 ... functionally and structurally regulated during muscle cell differentiation and that Nup358 is required for muscle cell differentiation and also is likely involved in the remodeling of the NPC Materials and ... induction of differentiation (Fig 1) Approximately half of the nucleoporin mRNAs (i.e Nup1 07, Nup85, Nup160, Nup43, Nup 37, Nup35, Nup205, Nup188, Pom121, Ndc1, Nup155, Nup54, Nup62, NupL1, Nup153 and...

Ngày tải lên: 06/03/2014, 01:20

... both Site-2 and Site-3 (Fig 4A) Furthermore, the pattern of protected and 178 4 P Barath et al (Eur J Biochem 271 ) Ó FEBS 2004 Fig Purification and identification of the silencer Site-2 and Site-3 ... occupation of Site-2 and Site-3 by NF1 strongly suggest that these interactions are of physiological relevance Ó FEBS 2004 NF1 is the silencer protein of ANT2 (Eur J Biochem 271 ) 178 7 Fig The Site and ... 273 , 3 178 4–3 178 7 Osada, S., Ikeda, T., Xu, M., Nishihara, T & Imagawa, M (19 97) Identification of the transcriptional repression domain of nuclear factor 1-A Biochem Biophys Res Commun 238, 74 4 74 7...

Ngày tải lên: 07/03/2014, 15:20

... scaffolds and inhibitors Nat Rev Mol Cell Biol 6, 8 27 8 37 Ramos JW (2008) The regulation of extracellular signalregulated kinase (ERK) in mammalian cells Int J Biochem Cell Biol 40, 270 7– 271 9 Pouyssegur ... Lenormand P (2002) Fidelity and spatio-temporal control in MAP kinase (ERKs) signalling Biochem Pharmacol 64, 75 5 76 3 Raman M, Chen W & Cobb MH (20 07) Differential regulation and properties of MAPKs ... isoforms of synapse-associated protein, SAP 97, are expressed in the heart and have distinct effects on the voltage-gated K+ channel Kv1.5 J Biol Chem 278 , 470 46– 470 52 FEBS Journal 278 (2011)...

Ngày tải lên: 22/03/2014, 16:20

... Relative risk of emergence % of trees fork emergence Unforked Confidence limit of the relative risk of fork emergence Levels of Frost-nipped shoot 38 15 53 71 .7 = 100.(38/(38+15)) 2.15 ( = 71 .7/ 33.3 ... Relative risk of emergence % of trees Forked Risk of fork fork emergence Unforked Confidence limit of the relative risk of fork emergence Levels Frost-nipped shoot 47 18 65 72 .3 1.9 [1.42–2.55] of damage ... examination of a large number of branches which would have considerably enlarged the survey The risk of fork emergence of 71 .7% obtained in plot P1, in the case of complete damage of the terminal...

Ngày tải lên: 07/08/2014, 16:20

... Endoscopic ultrasound and endoscopic ultrasound-guided fine-needle biopsy for the diagnosis of malignant submucosal tumors Endoscopy 2005, 37: 635-645 doi:10.1186/1 477 -78 19-9- 67 Cite this article ... 23: 477 -489 Zafisaona G: Inflammatory fibrous histiocytoma of the stomach Apropos of a case of xanthogranuloma? Arch Anat Cytol Pathol 19 87, 35:149-153 Zhang L, Huang X, Li J: Xanthogranuloma of ... Kinoshita et al World Journal of Surgical Oncology 2011, 9: 67 http://www.wjso.com/content/9/1/ 67 a Page of b a b Figure Histopathological examination of the specimens Histopathological examination...

Ngày tải lên: 09/08/2014, 02:20

... case report and review of the literature Urol Int 2006, 77 : 279 -80 Figure Stratified squamous epithelium, papillary and reticular dermis Stratified squamous epithelium, papillary and reticular ... patient's care and performed the excision of the dermoid cyst with EBR and IA who are surgical residents GOO is the consultant pathologist and processed and read the slides with AAO and DBM who ... 46:444-445 Misra S, Agarwal PK, Tandon RK, Wakhlu AK, Misra NC: Bladder teratoma: a case report and review of literature Indian J Cancer 19 97, 34:20-21 Agrawal S, Khurana N, Mandhani A, Agrawal V, Jain...

Ngày tải lên: 11/08/2014, 10:23

... Gibson M, Galland B: Spontaneous and permanent resolution of cystic adventitial disease of the popliteal artery J R Soc Med 2004, 97: 77- 78 10 Rai S, Davies RS, Vohra RK: Failure of endovascular ... joint Br J Surg 1985, 72 (7) :5 37 doi:10.1186/ 175 2-19 47- 4-91 Cite this article as: Ypsilantis and Tisi: Involvement of the genicular branches in cystic adventitial disease of the popliteal artery ... contents of incised cyst on the posterior wall of the popliteal artery Because of the rarity of the disease and the lack of large studies involving long follow-up examinations, the recurrence rate of...

Ngày tải lên: 11/08/2014, 12:20

... literature For example, Lame [5] and Granieri and Bacarini [7] described a total of six cases, all consisting of a bony structure of at least two bony elements and at least one (pseudo-) articulation ... Absence of apoptosis may Page of (page number not for citation purposes) Journal of Medical Case Reports 2009, 3 :139 http://www.jmedicalcasereports.com/content/3/1 /139 allow differentiation of 'costal ... Bull Hosp Jt Dis Orthop Inst 1984, 44 :72 -75 Hoeffel C, Hoeffel JC, Got I: Bilateral pelvic digits A case report and review of the literature Rofo 1993, 158: 275 - 276 Pelvic digit is a benign congenital...

Ngày tải lên: 11/08/2014, 17:21

... contributed to the overall review and the English translation of the text, and finally JM and LR made the overall review and corrections required All authors read and approved the final manuscript ... Urol 2004, 171 : 870 - 876 Bohle A, Gerdes J, Ulmer AJ, Hoffstether AG, Flad MD: Effects of local bacillus Calmette-Guerin therapy in patients with bladder carcinoma on immunocompetent cells of the bladder ... osteomyelitis and psoas abscess after Page of (page number not for citation purposes) Journal of Medical Case Reports 2009, 3 :73 23 11 12 13 14 http://casesjournal.com/casesjournal/article/view /73 23 intravesical...

Ngày tải lên: 11/08/2014, 17:21

... combination of any two of the three forms of cardiac rupture, with VSD and FWR being the most common (in 17% of patients with VSD there is concomitant FWR) [12] Tanaka et al studied a series of ten ... accessible and non-invasive method, contributes significantly both to the diagnosis of every form of cardiac rupture, and the determination of the size of the defect and the magnitude of the left-to-right ... development of this complication [1] There are two forms of DMR: a) true, with rupture of both IVS and LV free wall, and b) junctional, located at the junction between IVS and free wall [13] The...

Ngày tải lên: 11/08/2014, 23:21

... the consultant incharge of the patient, performed the second operation, and has given approval of the manuscript Consent The role of transvaginal drains and the effect of intra-fallopian antibiotic ... Journal of Medical Case Reports 2008, 2: 97 http://www.jmedicalcasereports.com/content/2/1/ 97 absent bowel sounds were present The patient had a leucocytosis of 16.4 × 109.l-1 and C-reactive ... varied and ranges from between two to 33 weeks [13, 14] Tubal function may also be assessed by salpingography and/ or salpingoscopy A "cobblestone" appearance of the tubal mucosa is suggestive of patchy...

Ngày tải lên: 11/08/2014, 23:21

... organization of replication and transcription Science 1999, 284: 179 0- 179 5 17 Chakalova L, Debrand E, Mitchell JA, Osborne CS, Fraser P: Replication and transcription: shaping the landscape of the genome ... promotes expression of Rev-dependent HIV-1 RNAs Proc Natl Acad Sci USA 2010, 1 07: 1 478 7-1 479 2 12 Lamond AI, Earnshaw WC: Structure and function in the nucleus Science 1998, 280:5 47- 553 13 Cremer T, Cremer ... Cell Sci 2001, 114:463- 474 28 Berezney R, Coffey DS: Nuclear matrix Isolation and characterization of a framework structure from rat liver nuclei J Cell Biol 1 977 , 73 :616-6 37 29 Belgrader P, Dey...

Ngày tải lên: 13/08/2014, 01:21

... the first and second d-siRNA pools (Figure 2f,g, and see Additional data file for the list of the 21 high confidence hits) This validation rate of 21 out of 71 is likely not a result of offtarget ... knock-down of targeted gene products [8-11] Volume 8, Issue 7, Article R142 reviews Genome Biology 20 07, comment http://genomebiology.com/20 07/ 8 /7/ R142 R142.4 Genome Biology 20 07, Number of domains ... information Genome Biology 20 07, 8:R142 refereed research The lack of effect of rapamycin on the kinetics of endocytosis and recycling suggested that most of the effect of the mTOR pathway on transferrin...

Ngày tải lên: 14/08/2014, 07:22

... systems and standards when they operate in the host country. 27 Hence the environmental standards of the host state are improved as a result of FDI imports of newer and cleaner technologies and environmental ... multinational corporations" (Principle 14) and “demands the cessation of the production of all toxins, hazardous wastes, and radioactive materials and demands that all past and current producers be held strictly ... Iron and Steel 372 Non-Ferrous Metals 371 Iron and Steel 372 Non-Ferrous Metals 369 Non-Metallic Min Product 354 Misc Petroleum, Coal Product 341 Pulp and Paper 372 Non-Ferrous Metals 341 Pulp and...

Ngày tải lên: 14/09/2015, 18:30