mathematics - alder - multivariate calculus
mathematics - alder - multivariate calculus
... or a min- imum, whereas if the determinant is negative then in a neighbourhood of a b , f is a saddle point. If the determinant is zero, the test is uninforma- tive. “Proof” by arm-waving: ... maybe the exactly opposite direction), ie ∃λ ∈ R, ∇f x y = λ∇g x y . 2C2 Multivariate Calculus Michael D. Alder November 13, 2002 20 CHAPTER 3. CONSTRAINED OPTIMISATION Well, ∇g x y...
Ngày tải lên: 27/03/2014, 11:49
mathematics - advanced determinant calculus
... c[3], -1 0 c[1] + 2 c[3], -5 c[1] + c[3], c[1]} In[7]:= V[8] Out[7]= {0, c[1], 6 c[1], c[3], -2 5 c[1] + 3 c[3], c[5], -9 c[1] + c[3], c[1]} In[8]:= V[9] Out[8]= {0, c[1], 7 c[1], c[3], -4 9 c[1] ... c[3], -2 8 c[1] + 2 c[3] + c[6], c[6], -1 4 c[1] + c[3], c[1]} In[9]:= V[10] 14 C. KRATTENTHALER Out[9]= {0, c[1], 8 c[1], c[3], -8 4 c[1] + 5 c[3], c[5], 196 c[1] -...
Ngày tải lên: 27/03/2014, 11:49
mathematics - foundations of calculus
... modern mathematics – technically bulletproof. We wrote this book of foundations in part to provide a convenient reference for a student who might like to see the “theorem - proof” approach to calculus. We ... −1. (For example, since the reals are “uncountable,” “most” real numbers have no description what-so-ever.) The rationals are not “complete” in the sense that the linear measurem...
Ngày tải lên: 27/03/2014, 11:49
mathematics - introduction to tensor calculus
... indices i, j, k. The e-δ Identity An identity relating the e-permutation symbol and the Kronecker delta, which is useful in the simpli- fication of tensor expressions, is the e-δ identity. This identity ... subscripts is given in the figure 1. 1-3 . The subscripts on the four Kronecker delta’s on the right-hand side of the e-δ identity then are read (first)(second )-( outer)(inner). This ref...
Ngày tải lên: 27/03/2014, 11:50
mathematics, pre-calculus and introduction to probability
... public release; distribution is unlimited. NONRESIDENT TRAINING COURSE December 1988 Mathematics, Pre -Calculus and Introduction to Probability NAVEDTRA 14141
Ngày tải lên: 31/03/2014, 16:24
Báo cáo y học: "Enhancement of the Click Chemistry for the Inverse Diels Alder Technology by Functionalization of Amide-Based Monomers"
... of the 2-cyano-nicotinic acid 4 with hydrazine to 5. After oxidation the dihydrotetrazine product bis-2, 6-[ 5-carboxylic acid-pyrid-2-yl]-dihydrotetrazine 5 was transformed to the cor- responding ... synthesis of the Reppe Anhy- dride was carried out as documented by Reppe [16]. The reaction to tetracy- clo-[5.4.2 1,7 .O 2,6 .O 8,11 ]3,5-dioxo-4-aza-9,12-tridecadiene 4-yl acetyl acid ch...
Ngày tải lên: 25/10/2012, 11:00
Báo cáo y học: "Extension of the PNA world by functionalized PNA monomers eligible candidates for inverse Diels Alder Click Chemistyr"
... of the Fmoc-C2-glycine-tert-butyl ester with the Reppe anhydride: 2 mmol of the Fmoc-C2-glycine-tert-butyl ester 9 and 4 mmol N,N-diisopropylethylamine were pre-filled in 10ml di- chloromethane ... “Reppe anhydride”-PNA building block We started with the chemical synthesis of the “Reppe anhydride”-PNA building block (t etracy- clo-[5.4.2 1,7 .O 2,6 .O 8,11 ]3,5-dioxo-4-aza-9,12-tridecadi...
Ngày tải lên: 26/10/2012, 08:57
Báo cáo y học: "The Diels-Alder-Reaction with inverse-Electron-Demand, a very efficient versatile Click-Reaction Concept for proper Ligation of variable molecular Partners"
... worked via the follow- ing educts: 2-cyanopyrimidine 6 and 4-cyanobenzoic acid 7 react with 80% aqueous hydrazine 8 to the in- termediate 3,6-diaryl-1,2-dihydro-1,2,4,5-tetrazine 9 in 40 to ... Diels -Alder- Additionen Mit Inversem Elektronenbedarf. Angewandte Chemie-International Edition. 1962; 74: 353. 37. Pipkorn R, Waldeck W, Didinger B, et al. Inverse-electron-demand Diels -Alder...
Ngày tải lên: 26/10/2012, 09:39
Báo cáo y học: "Multivariate explanatory model for sporadic carcinoma of the colon in Dukes’ stages I and IIa"
... AGE-age in years; TC- total cholesterol; HDL-high density lipo- protein; LDL-low density lipoprotein; VLDL-very low density lipoprotein; TG-triglycerides; AP-alkaline phosphatase. (* signifi- cant ... AGE-age in years; TC- total cholesterol; HDL-high density lipo- protein; LDL-low density lipoprotein; VLDL-very low density lipoprotein; TG-triglycerides; AP-alkaline phosphatase. (* signifi...
Ngày tải lên: 03/11/2012, 11:34
Xây dựng công thức toán học dễ dàng với Microsoft Mathematics 4.0 miễn phí
... http://download.microsoft.com/download/1/F/F/1FF3F0EA-4E1E-491 1-9 88E- 390277E52BCB/MASetup.exe Chương trình chạy tốt trên các hệ điều hành: Windows 7, Windows Vista - Service Pack 2 (SP2), Windows XP (32-bit) - Service Pack 3 ... hoặc http://download.microsoft.com/download/F/7/6/F76E018 7-0 7B 5-4 958-B3FF- 2E5ACD53B637/MSetup_x64.exe Bản cài đặt tích hợp dạng Add-ins vào...
Ngày tải lên: 15/01/2013, 11:29