applications of linear differential equation of first order

galois theory of linear differential equations - m. van der put, m. singer

galois theory of linear differential equations - m. van der put, m. singer

... theory of torsors, of this weaker statement). Let K be the Picard-Vessiot extension of a scalar differential equation L(y)=0 of order n over k.LetG be the differential Galois group of the equation ... translates into Z L =(r a,b )G L . A proof of Lemma 1.29 finishes the proof of the theorem. ✷ Proof of lemma 1.29. The proof is rather similar to the one of lemma 1.23. The only thing that we have ... as u = y  y where y is a solution of Ly = 0. The element u itself satisfies a non linear equation of order d − 1. This equation is called the Riccati equation of L and has the form P d + a d−1 P d−1 +...

Ngày tải lên: 31/03/2014, 15:56

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Tài liệu Báo cáo khoa học: Salt-induced formation of the A-state of ferricytochrome c – effect of the anion charge on protein structure docx

Tài liệu Báo cáo khoa học: Salt-induced formation of the A-state of ferricytochrome c – effect of the anion charge on protein structure docx

... magnification of original spectra. (D) Absorption spectra of the acid- denatured K13N mutant (spectrum a), of the K13N mutant after 3 ms of mixing with 40 m M sulfate (spectrum b), and after 5 s of mixing with ... reagents used were of analytical grade. Construction of horse cytochrome c expression system A version of the horse cytochrome c synthetic gene was designed on the basis of the sequence of a previously ... of electrostatic repulsions in the acidic molten globule of cytochrome c. J Mol Biol 222, 679–686. 13 Jordan T, Eads JC & Spiro TG (1995) Secondary and tertiary structure of the A state of...

Ngày tải lên: 19/02/2014, 05:20

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PROTOCOL ON THE STATUTE OF THE EUROPEAN SYSTEM OF CENTRAL BANKS AND OF THE EUROPEAN CENTRAL BANK pdf

PROTOCOL ON THE STATUTE OF THE EUROPEAN SYSTEM OF CENTRAL BANKS AND OF THE EUROPEAN CENTRAL BANK pdf

... years and the other members of the Executive Board for terms of office of between five and eight years. No term of office shall be renewable. The number of members of the Executive Board may be ... conditions of Accession of the Czech Republic, the Republic of Estonia, the Republic of Cyprus, the Republic of Latvia, the Republic of Lithuania, the Republic of Hungary, the Republic of Malta, ... of office shall be eight years and shall not be renewable. Only nationals of Member States may be members of the Executive Board. 11.3. The terms and conditions of employment of the members of...

Ngày tải lên: 06/03/2014, 10:20

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Report of the Sub-Committee of the Central Board of Directors of Reserve Bank of India to Study Issues and Concerns in the MFI Sector doc

Report of the Sub-Committee of the Central Board of Directors of Reserve Bank of India to Study Issues and Concerns in the MFI Sector doc

... (ii) analysis of overdues (iii) the average effective rate of interest, the average cost of funds and the average margin earned (iv) analysis of the outstanding loans by nature of purpose for ... d) there must be a minimum period of moratorium between the grant of the loan and the commencement of its repayment. e) recovery of loan given in violation of the regulations should be deferred ... permitted to give loans to the microfinance sector, which in the aggregate exceed 10% of its total assets. 6 Areas of Concern The advent of MFIs in the Microfinance sector appears to have resulted...

Ngày tải lên: 15/03/2014, 14:20

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Cách sử dụng A lot of, lots of, plenty of, a large amount of, a great deal of docx

Cách sử dụng A lot of, lots of, plenty of, a large amount of, a great deal of docx

... rice left. (không phải là: There is not much of rice left.) A lot of - lots of Không có sự khác nhau nhiều giữa a lot of và lots of. A lot of và lots of đều mang tính chất thân mật, suồng sã, ... credit cards. A large amount of, a great deal of , a large number of Cách diễn đạt này mang tính tương đối trang trọng. Sau A large amount of và a great deal of là danh từ không đếm được. ... Không có sự khác nhau nhiều giữa a lot of và lots of. A lot of và lots of đều mang tính chất thân mật, suồng sã, đứng trước danh từ không đếm được, danh...

Ngày tải lên: 02/04/2014, 13:20

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báo cáo sinh học:" The current shortage and future surplus of doctors: a projection of the future growth of the Japanese medical workforce" pdf

báo cáo sinh học:" The current shortage and future surplus of doctors: a projection of the future growth of the Japanese medical workforce" pdf

... practice nurses, who can fulfill some of the roles of doctors in certain situations. Japan does not offer such licenses, and the political influence of existing professional organizations is so strong ... supply of doctors stratified by sex and age Figure 4 Addition of estimated number of new doctors. Table 1 Yearly pass rates of national examination for medical doctors Year Pass rate Number of ... speak of lic ensing other types of health practitioners. It will be difficult to resolve this dilemma without the help of foreign countries. In general, a national shortage or surplus of specialists...

Ngày tải lên: 18/06/2014, 17:20

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Báo cáo sinh học: " Cloning of full genome sequence of hepatitis E virus of Shanghai swine isolate using RACE method" docx

Báo cáo sinh học: " Cloning of full genome sequence of hepatitis E virus of Shanghai swine isolate using RACE method" docx

... organization consisted of 5' untranslated region (5'UTR) of 25 nt (1–25), ORF-1 of 5127 nt (26–5152), ORF-2 of 1983 nt (5190–7172), ORF-3 of 372 nt (5249–5520) and 3'UTR of 93 nt (7173– 7265), ... units) of AMV Reverse Transcriptase (TakaRa, Japan) and 1 ul (25 mM) of external antisense primer. The first round PCR was carried using 10 ul of the synthesized cDNA and an external set of forward ... http://www.virologyj.com/content/4/1/98 Page 6 of 7 (page number not for citation purposes) Phylogenetic trees constructed using MEGA software depicting genotypic status of SH-SW-zs1 on the basis of full-length genome sequence of 39...

Ngày tải lên: 18/06/2014, 18:20

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