Спутник технологический. KJ 1A. [Редактировать]

KJ 1 (Kongjian 1) это малый космический аппарат который был создан для целей орбитальной отработки технологий . Более подробные детали об аппарате не раскрывались.

Дополнительная классификация

#Наименования
1Тип орбиты - НОО
2Страна оператор(владелец) - Китай
3Страна производитель - Китай
4Тип оператора(владельца) - государственный

Найдено 1000 документов по запросу «KJ 1A». [Перейти к поиску]


Дата загрузки: 2017-02-23
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0.21/5
... = q 1 , a 12 = q 2 и a 13 = q 3 , получим: q1 q 2 q3 q 1A 11 + q 2A 12 + q 3A 13... нулевого вектора не определено. 18 B λ1a λ1 < 0 A a λ2a λ2 > 0 b -a Рис. 2.1.1 2 Умножение вектора на... пару чисел λ1 и λ2 , так что будет c = λ1a + λ2 b , а это и означает, что векторы a, b и c линейно... числа λ1 , λ2 , λ3 , что будет d = λ1a + λ2b + λ3c (рис. 2.2.3). d c b λ3c a λ1a 22 2 Базисы на... uuuuur uuuur uuuur uuuur uuuur O A = O A 1 + A 1A 2′ + A 2′A = O A 1 + O A 2 + O A 3 , то a = a x i + a y j + a z k . оси. Ясно, что т.к. Такое... ⋅ n 2 = n1 ⋅ n 2 ⋅ cos ϕ . Отсюда следует: cos ϕ = A 1A 2 + B 1B 2 + C 1C 2 A 12 + B 12 + C 12... и нормали к ним, т.е. n1 ⋅ n 2 = 0 , откуда следует A 1A 2 + B 1B 2 + C 1C 2 = 0 . (5) Заметим, что условия... A 1 ( −a , 0) и A 2 (a , 0) , которые называются вершинами гиперболы. Отрезок A 1A 2 , длина которого равна 2a , называется... для некоторых чисел γ 1 , γ 2 , …, γ k справедливо равенство A = γ 1A 1 + γ 2A 2 + ...γ k A k или a j = γ 1b1j + γ 2b 2 j + ...γ kbkj... A 1 , A 2 ,..., A l называются линейно независимыми, если равенство γ 1A 1 + γ 2A 2 + ... + γ l A l = 0 возможно лишь в том случае.... Необходимость. Пусть строки линейно зависимы, т.е. γ 1A 1 + γ 2A 2 + ... + γ l A l = 0 , где хотя бы одно... . a rr a kr a 1j a 2j . , a rj a kj полученный добавлением к базисному минору частей... буквами c i = A ij , получим c 1a 1j + c 2a 2 j + ... + c r a r j + c r +1a kj = 0 ( j = 1, 2,..., n ) . Но c r +1 = A kj равно базисному минору, поэтому... c , γ 2 = − 2 , …, c r +1 c r +1 cr , из последнего равенства получим: c r +1 a kj = γ 1a 1j + γ 2a 2 j + ... + γ r a r j ( j = 1, 2,..., n ) , а это означает, что... , (2) (3) В силу линейности оператора A можно написать A x = x 1A e1 + x 2A e2 + ... + x n A en . Заметим...



Дата загрузки: 2017-01-04
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0.11/5
... модулей 1 2 лицевая панель для модуля KJ Применение Размеры 86 х 86 мм....5 вставка Mosaic 45 для модуля KJ Размеры АБС-пластик (сополимер акрилонитрила...) FP-IE-DIN-KJ-1-GY FP-IE-DIN-KJ-1А-GY Эксплуатационные... Цвет корпуса FP-IE-DIN-KJ-1-GY 67,5 мм 70,5 мм... мм — серый FP-IE-DIN-KJ-1A-GY 67,5 мм 70,5 мм... 18 мм FP-IE-DIN-KJ-1A-GY Крепление для Keystone Jack... Разъемы (коннекторы) FP-IE-DIN-KJ-1-GY Адаптеры RJ, IDC, Keystone...) Соответствие стандартам Электрические характеристики CA2-KJ-C5e-WH RJ-45 (8P8C) Выходной порт Цвет CA2-KJ-C5e-SH-WH 5е Входной...-8P8C-C6-SH-H-WH CA2-KJ-C5e-WH Розетки, корпусы, лицевые панели CA2-KJ-C5e-SH-WH Патч-корды...), категория 6, полный экран, белый CA2-KJ-C5e-SH-WH Проходной адаптер... 5e, 4 пары, экранированный, белый CA2-KJ-C5e-WH Проходной адаптер RJ... JACK Разъемы (коннекторы) Партномер CA2-KJ-C2-WH Категория 2 Входной порт... мкм (3μ’’) золотом поверх никелировки CA2-KJ-C2-WH Адаптеры RJ, IDC... 5e Информация для заказа CA2-KJ-C2-WH 84 Проходной адаптер...- C CA2-KJ-C2-WH CA2-KJ-C5e-SH-WH CA2-KJ-C5e-WH... FP-IE-DIN-KJ-1A-GY FP-IE-DIN-KJ-1-GY Алфавитный указатель...



Дата загрузки: 2017-06-15
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0.02/5
...; 797: 276. [70] Wells-Knecht KJ, Brinkmann-Frye E, Baynes JW. J. Org...; 264: 21597. [89] Wells-Knecht KJ, Brinkmann E, Baynes JW. J. Org. Chem...: 6246. [90] Brinkmann E, Wells-Knecht KJ, Thorpe SR, Baynes JW. J. Chem.... [126] Reddy S, Bichler J, Wells-Knecht KJ, Thorpe SR, Baynes JW. Biochem...; 324: 565. [131] Wells-Knecht KJ, Zyzak DV, Litchfield JE, Thorpe.... IEEE Trans. Ind. Appl. 1986; 1A–22: 527. [50] Hayati I, Bailey... iniciais das soluções components (1a); an analyte AX which dissociates...), which is similar to equation (1a), is for a three component system... I A = pf I A = pf k A [A] I k A [A] + k E [E ] k A [A] I k A [A] + k B [B ] + k E [E ] (two components system) (1a) (three components system) (1b) Tang... equation (1).16,19 Furthermore, equations (1a) and (1b) express the competition... salt displays electrolyte behaviour, equation (1a) could be fairly applied, in... upper limit of M. Considering equation (1a), selected analyte and HEPES buffer... and D2). Thus, from equation (1a) (high-concentration range), it can... concentration in solution. From equation (1a), these constant m/z 261 ion abundances... concentration of 10 -5 M. From equation (1a), it can be deduced that...; 91: 2463. Kevin J, Wells-Knecht KJ, Brinkmann-Frye E, Baynes JW. Characterization...: 6246. Brinkmann-Frye E, Wells-Knecht KJ, Thorpe SR, Baynes JW. Characterization...; 60: 1300. [4] Kevin J, Wells-Knecht KJ, Brinkmann-Frye E, Baynes JW. J. Org...: 6246. [5] Brinkmann-Frye E, Wells-Knecht KJ, Thorpe SR, Baynes JW. J. Chem...: 121. 21. Kevin J, Wells-Knecht KJ, Brinkmann-Frye E, Baynes JW. Characterization.... 22. Brinkmann-Frye E, Wells-Knecht KJ, Thorpe SR, Baynes JW. Characterization... b) 217 (220;a 124 b) acetyl-dihydroxyimidazolidine (1a) 365 (103; 4.8) 317 (149; c) acetyl... (138; 0.5) 331 (23.2; 0.5) acetyl-dihydroxyimidazolidine (1a) 313 (42.9; 20.0) 313 (27... belonging to class a (Table 1), i.e. ions 1a, 2a and 3a, were identified... a ions, revealed that in ions 1a, losses occurred in the reaction... double dehydrated forms of ions 1a, respectively, being thus class a ions... – H2O were attributed to ions 1a, 2a and 3a, respectively (Table... molecules were noted in ions 1a and 2b fragmentations, respectively, it... rings are developed in ions 1a structures. In ions 2b structures...) – 2H2O were attributed to ions 1a, 2a and 3a, respectively (Table... of interest acetyl-dihydroxyimidazolidine (ions 1a) Ion structures a H N R R1 OH N N H OH... present report, acetyl-dihydroxyimidazolidines (compounds 1a) were detected in the early... in %) Ions of interest Dihydroxyimidazolidine (1a) Hydroimidazolone (2a) Dihydroxyimidazolidine 2H2 O (3a... in %) Ions of interest Dihydroxyimidazolidine (1a) Hydroimidazolone (2a) Dihydroxyimidazolidine 2H2 O (3a... encompass the following ions: ions 1a, 2a, and 3a (class a); ions... Wiley & Sons, Ltd. Class a (ions 1a–3a) The fragmentation of ions... imidazolidine ring formation (Table 3 – ions 1a). The dicarbonyl loss (Tables 5 and... structuresa Reaction systems Dihydroxyimidazolidine (ions 1a) Hydroimidazolone (ions 2a) N Methylglyoxal Bis...) 2H2 O (ions 3b) Dihydroxyimidazolidine (ions 1a) Hydroimidazolone (ions 2a) Dihydroxyimidazolidine 2H2... inhibition of glycation [M C H [M C H [⊲M C H [M C H [M C H [M C H [M C H [M C H [M C H [M C H [M C H [M C H [⊲M C H C Dihydroxyimidazolidine (ions 1a) 1355 1356 m/z (Precursor ion: 2,3-pentanedione... and M. H. Florˆencio for ions 1a and 2a. The structure attributed... the structures attributed to ions 1a and 2a. This assumption is... the methylglyoxal-derived dihydroxyimidazolidine (ion 1a). Taking into account these observations... Methylglyoxal Diacetyl 1-Phenyl-1,2propanedione tetrahydrotriazine (1a) 133 (4.2;a d;b d c) e 161 (22.1;a d;b d c) 223 (139... interest 2,3-Pentanedione 2,3-Hexanedione 3,4-Hexanedione tetrahydrotriazine (1a) 175 (1.4;a d;b 0.5 c) 189 (15.2;a 0.8;b 1.2 c) 189 (1.8;a 0.5;b d c) tetrahydrotriazine... (a – c). These ion classes encompass: ions 1a, 2a and 3a (class a); ions... tetrahydrotriazine – H2O triazine dihydroxyimidazolidine(ions 1a) (ions 2a) (ions 3a) tetrahydrotriazine... triazine dihydroxy(a) and (b) (dihydroxy(ions 1a) – H2O imidazolidine(ions 3a) imidazolidine... 2). Possible ion structures a tetrahydrotriazine (ions 1a) b, d Reaction Systems tetrahydrotriazine – H2O (ions... Į-dicarbonilos Class a (ions 1a-3a) Fragmentation of ions 1a, at m/z 133 (glyoxal... molecule (Tables 3 and 4). After ions 1a lose one dicarbonyl molecule, protonated... was attributed to ions 1a (Table 5). Ions 1a fragment ion composition was... composition, in comparison to ions 1a. Losses of one water molecule... fragmentation, also observed in ions 1a fragmentation, after the elimination of... water molecule, suggests that ion 1a and 2a structures are related... molecule losses observed in ions 1a and 2a fragment ion compositions... the reaction conditions investigated. Tetrahydrotriazines (1a) and tetrahydrotriazines – H2O (2a) were...; 60: 1300. [3] Kevin J, Wells-Knecht KJ, Brinkmann-Frye E, Baynes JW. J. Org...: 6246. [4] Brinkmann-Frye E, Wells-Knecht KJ, Thorpe SR, Baynes JW. J. Chem...



Дата загрузки: 2017-06-15
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0.05/5
... interactions London, dispersion Bond energy kJ mol−1 Equilibrium length nm 600... in a separate vacuum enclosure (Fig. 1a). It is sometimes defined in... HCl NH3 H2 O ∗ Interaction energies (kJ mol−1 ) Dipole moment (D)∗ 0 0.11 1.07... a straight line of gradient D (Fig. 1a). This can be justified by... in Peel tests (see Fig. 1a). Simple-extension test-piece Adhesive... strength of this interaction (8–35 kJ mol−1 ) falls between that of van der Waals forces (4–8 kJ mol−1 ) and full covalent bonding (40–400 kJ mol−1 ). Fowkes (following the earlier... across an IET junction (Fig. 1a) the two metals’ Fermi energies... a strip of plastic film (Fig. 1a) and then polymerizing it, causes... numerically equivalent to Ga in kJ mol−1 ) “alkane” straight line as...*) numbers1,4 Probe Tb /◦ C DN/kJ mol−1 AN*/kJ mol−1 Characteristic Diethyl ether...). Tensile shear-loaded joints (Fig. 1a) have the highest strength (see... 3.3 and the induction effect to 1.0 kJ mol−1 . It is common for... the bond energy (ca. 340 kJ mol−1 for a C–C bond) and Mc... be very high and reaching kJ m−2 levels and where adhesion strength... low (mJ m−2 ) to very high (kJ m−2 ) and where durability (see Durability... an organic polymer is 13.8 kJ mol−1 . In PDMS, this rotation... a large bond energy of 452 kJ mol−1 . In contrast, the Si–C bond has energy of 318 kJ mol−1 , slightly lower than a C–C bond...−2 3–8 Nmm −1 0–2 Nmm−1 30–50 kJ m−2 10–20 kJ m−2 Data are taken from...



Дата загрузки: 2017-06-15
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0.18/5
..., up to 55°C (see table 1A), occur 2 – 3 km to the East..., 1990 4 Beate and Salgado Table 1A. Chemical Composition of hot spring... 40 to 55 °C (see table 1A) . Possible deep-temperatures are 225... 40 and 67 °C (see table 1A). The springs are near- neutral... 30 to 40 °C (see table 1A), are found at the edges... neutral chloride chemistry (see table 1A). The fluids show water –rock... in mainland Ecuador (see table 1A). The waters are of the... temperatures up to 38 °C (Table 1A). They are related to recent... analysis are shown in table 1A and isotope data indicated a source... 30 and 57 °C (see Table 1A) and seem to pick up... 40 and 55°C (see table 1A), are situated on the N slope... at 19 deg. C (see table 1A), asociated to recent faults, indicate... IG/EPN – INGV, 2009, Table 1A), occur in Late Cretaceous and... rate (kg/s)[inlet enthalpy (kJ/kg) - outlet enthalpy (kJ/kg)] x 0.001 4) Energy... rate (kg/s) x [inlet enthalpy (kJ/kg) - outlet enthalpy (kJ/kg)] x 0.03154 5) Capacity... 1) Flow Rate Temperature ( oC) Enthalpy 2) (kJ/kg) Ave. Flow Energy Capacity... rate (kg/s) x [inlet enthalpy (kJ/kg) - outlet enthalpy (kJ/kg)] x 0.001 2) Annual... rate (kg/s) x [inlet enthalpy (kJ/kg) - outlet enthalpy (kJ/kg) x 0.03154 3) 6 Capacity...



Дата загрузки: 2017-06-16
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0.03/5
... ± 1/3 turn ± 1/12 turn M14 FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL....2 16 20 22 (Miniature plug) KJ............... 14×16.0 (Projected Miniature plug... Nм M14 Ausführung FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL... 7 8,7 5 K................. 14×16.0 24 8 6,63,61 4 KJ............... 14×16.0 27 9 4,59 3 29... ± 1/12 tour M14 Type FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL... projetée) K................. 14×16.0 (Bougie miniature) KJ............... 14×16.0 (Bougie projetée miniature... ± 1/12 giro M14 Tipos FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL...ía proyectada) K................. 14×16.0 (Bujía miniatura) KJ............... 14×16.0 (Bujía miniatura proyectada... ± 1/12 giro M14 Tipo FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL... mm) (Candela proiettata) (Candela mini) KJ............... 14×16.0 (Candela mini proiettata... ± 1/3 varv ± 1/12 varv M14 FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL... B ���� Tre sidoelektroder J16BR-U (Utskjutande stift) KJ............... 14×16.0 Längd A.................... 19.0 mm.... ± 1/12 obr. M14 typ FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL... 8 20 6 10,9 7,6 (Świeca miniaturowa) 22 7 8,7 5 KJ............... 14×16.0 24 8 6,63,61.... ± 1/12 обор. M14 Тип FK, J, K, KJ, P, PK, PKJ, PQ, Q, QJ, QL...,11 8 (Выступающая свеча) K................. 14×16.0 KJ............... 14×16.0 20 6 10,9 7,6 22... / 100 R 125 cc - CORSARO / 125 KJ > 88 > 88 175 cc - TRESETTE... CM46 / CM80 / CM90 / CM115 / CM24/1A COLUMBIA All Models Mowers Tractors... W20M-US 6036 Chainsaws 1.9PS / 2.0 / 2.1A W20M-US 6036 Chainsaws 271... / W22FS-U 4025 501-4CKF 502-1A / 502-1ACH / 502-1ADK W16FS...-ABLCH W22FS-U 4025 Famo 504-1A / 504-1ADK / 504-1ANL / W16FS...-2B W16FS-U 3034 Famo 505-1A / 505-1B / 505-1C W16FS... (CDI) 74 cc 4.0 5.5 Power Equipment G 1A / G 1A6 15 cc W20M-US... W20M-US 6036 0,7 W20MR-U 1.9PS / 2.0 / 2.1A / 3.6 W20M-US 6036 0,7 W20MR-U Chainsaws...



Дата загрузки: 2017-06-15
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0.2/5
....29 ϩ ͸ N ⌬hƒk ⌬G ƒЊ(298.15 K) ϭ 53.88 ϩ k (kJ molϪ1) (3-3.1) k (kJ molϪ1) (3-3.2) k ƒ k C pЊ(T ) ϭ ͭ͸ ͭ͸ ͭ͸ k k k ͮ ͭ͸ ͮ ͮ NkCpAk Ϫ 37.93....15 K) ϭ 53.88 ϩ k ƒk ϭ Ϫ25.73 kJ molϪ1 kϭ1 C Њp(700) ϭ ͭ͸ ͭ͸ ͭ͸ ͮ ͭ͸ NkCpAk Ϫ 37.93... Base Property ⌬G Њƒ(298.15 K) kJ molϪ1 ⌬H Њƒ(298.15 K) kJ molϪ1 C Њp(100 K) J mol....5981ͬ ␪ ) ϩ W ͸ M (C ) Ϫ 10.7983ͬ ␪ (3-4.1) (kJ molϪ1) (3-4.2) j pA2j j Nk(CpB1k k ϩ (kJ molϪ) j Nk(CpA1k....15 K) ϭ 10.835 ϩ Ϫ1 k kϭ1 ͸ N (gƒk) ϭ Ϫ23.597 kJ mol 5 ⌬G ƒЊ(298.15 K ) ϭ Ϫ14.83.... % Err. (2nd-Order) ⌬G ƒЊ(298.15 K), kJ molϪ1 Experimental Calculated (First Order... tested with the method Property ⌬G Њƒ kJ molϪ1 ⌬H Њƒ kJ molϪ1 C Њƒ(100 K) J molϪ1 KϪ1 C Њp(298... tested with the method Property ⌬G Њƒ kJ molϪ1 ⌬H Њƒ kJ molϪ1 C Њƒ(100 K) J molϪ1 KϪ1 C Њp(298... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... C Њp 500K C Њp 600K C Њp 800K C Њp 1000K C Њp 1500K kJ molϪ1 J molϪ1KϪ1 J molϪ1K... Joback % Error C/G % Error Benson C Њp(700K) kJ molϪ1 % Error Joback % Error C/G % Error....22 kJ mol 7 ⌬H Њƒ(298.15 K) ϭ k Ϫ1 ƒk kϭ1 ͸ N (S Њ) ϭ 0.397 kJ mol 7 S Њ(298.15 K) ϭ k Ϫ1 k KϪ1 kϭ1 ͸ N (S Њ) ϭ 0.801 kJ mol...) Ϫ S el Њ (298.15K)] ϭ Ϫ24.92 kJ molϪ1 ͸ N (C Њ ) ϭ 303.6 J mol 7 C Њp(800 K) ϭ k pk...) standard enthalpy of reaction at T, kJ molϪ1; Eqs. (3-1.2) and (3-1.4) standard (lower... at T and 1.01326 bar (1 atm.), kJ molϪ1 KϪ1; Eq. (3-1.8), Sec. 3-5 entropy contribution... P or of T and V Zϵ PV ϭ ƒP (T, P ) RT (4-2.1a) ϭ ƒV (T, V ) (4-2.1b) where V is the molar... are Zϭ1ϩB ϭ1ϩ ͩ ͪ ͩ ͪ P P ϩ (C Ϫ B2) RT RT B C ϩ ϩ⅐⅐⅐ V V2 2 ϩ⅐⅐⅐ (4-5.1a) (4-5.1b) where the coefficients... of the forms P Ϫ P0 ϭ ƒ (T, ␳, ␳0) (4-12.1a) ␳ Ϫ ␳0 ϭ ƒ (T, P, P0) (4-12.1b) where the..., J molϪ1 KϪ1 enthalpy change of boiling, kJ molϪ1 reaction equilibrium constant molecular... are Zϭ1ϩB ϭ1ϩ ͩ ͪ ͩ ͪ P P ϩ (C Ϫ B2) RT RT 2 ϩ ... B C ϩ ϩ ... V V2 (5-4.1a) (5-4.1b) where the coefficients... ϭ R ͩ͸ ͪ i xiTci 0.2857] r) Z [1ϩ(1ϪT RAm Pci ZRAm ϭ (5-8.1a) ͸ xZ (5-8.1b) i RAi with the..., Eq. (5-2.1b) mole fraction, Eq. (5.2-1a) compressibility factor ϭ PV / RT Rackett... Eqs. (4-5.1). Zϭ1ϩB ϭ1ϩ ͩ ͪ ͩ ͪ P P ϩ (C Ϫ B2) RT RT 2 ϩ... B C ϩ ϩ... V V2 (4-5.1a) (4-5.1b) This is the only... function Internal Energy, U Entropy, S Z(T, P), Eq. (4-5.1a) B C Ϫ 2Ϫ... V V Ϫ T dB T dC ϩ ϩ... V dT V 2 dT ͩ BϪT Ϫ V ͩ BϩT ͪ ͩ dB... Equations (5-4.1) and (5-4.2) Virial Equation ͫ͸ ln ␾i n (5-4.1a) & (5-4.2a) 2 jϭ1 (5-4.1b) & (5-4.2a,b) 2 V ͸yB n j jϭ1 ͬ yj... ␣ ␦, ␧, ␩ ␾i CHAPTER SIX mole fraction, Eq. (5.2-1a) compressibility factor ϭ PV / RT ⌰ ␻ quantity... ij j j ͸ xk⌳ki N xj⌳ij ϩ 1 Ϫ k ͸ x⌳ ͸x␶ G ␶ Ϫ ͸G x N j kj j NRTL ͸␶G x g ϭ͸x RT ͸G x ͸␶G x xG ln ␥ ϭ ϩ͸ ͸G x ͸G x N N E ji... ͩ͸ ␪ ␶ ͪ N ln ␥i ϭ ln i ij kj k k ⌽i xi ϩ ΂ Ϫ j ji ⌽i k kj N kj k k i j ji j i j N j j j N j ij j N k kj k where ⌽i ϭ ri xi ͸rx N k k k and ␪i ϭ qi xi ͸qx N k k k i ΃ kj... group in molecule j ͸x␯ X ϭ ͸x ͸␯ j kj j (8-10.56) k j j kj k where ␯kj is the number of... 1 Ϫ ln (8-10.59) ͸xl ͩ͸ ͪ ͸ ͸ ͬ ␪j ␶ij ␪j ␶j i Ϫ j ␪k␶kj j k z li ϭ (ri Ϫ qi) Ϫ (ri Ϫ 1) z ϭ 10... 1 Ϫ ln ␪j␶ji Ϫ jϭ1 ͸ 3 jϭ1 ΂͸ ΃΅ ␪j␶ij (8-16.16) 3 ␪k␶kj kϭ1 where qi is the UNIQUAC... factor Greek ␣ ␣ij ␤ ␥i ⌫k ␦ ␦ ␧ ␰ ␩ ␪ ⍜i ␬ ␭ ␭ij ⌳ij ␯ (i) k ␯kj ␲* ␳ ␴2 ␶ ␶ij ␾i ⌽i ␹ ⌿mn ␺12 ␻ ⍀ parameter in... viscosity equation is: ͸ K ͩ1 ϩ 2 ͸ H n ␩m ϭ iϪ1 i iϭ1 ij ͸ ͸ n Kj ϩ jϭ1 n ͪ Hij Hik Kj Kk jϭ1 i kϭ1 i (9-5.1) where ␩m is the...-3.2) to DAB ϭ PM 0.00143T 1.75 [(⌺v)1A/ 3 ϩ (⌺v)1B/ 3]2 1/2 AB (11-4.4) where the... (methyl amine) CAS # DelHf0, kJ / mol DelGf0, kJ / mol 7440-37-1 7726...-19-7 431-89-0 DelHf0, kJ / mol DelGf0, kJ / mol Ϫ264.40 Ϫ83....31 13838-16-9 DelHb, kJ / mol DelHm, kJ / mol 14.70 38...-2-pentene 2-methyl-2-butene DelHf0, kJ / mol DelGf0, kJ / mol 554-12-1 141....08 106.90 DelHb, kJ / mol DelHm, kJ / mol 32.15 35...) CAS # DelHf0, kJ / mol DelGf0, kJ / mol DelHb, kJ / mol DelHm, kJ / mol 1.88... 2,2,3,4-tetramethylpentane 2,2,4,4-tetramethylpentane 2,3,3,4-tetramethylpentane CAS # DelHf0, kJ / mol 540-84-1 Ϫ224.01....31 Ϫ116.59 DelHb, kJ / mol DelHm, kJ / mol 30.79 32... CAS # DelHf0, kJ / mol DelGf0, kJ / mol DelHb, kJ / mol DelHm, kJ / mol 138...-17-8 7440-63-3 DelHf0, kJ / mol DelGf0, kJ / mol 0.00 0.00 Ϫ241... 0.00 0.00 0.00 DelHb, kJ / mol DelHm, kJ / mol 0.90 40.66... 0.0729 hv1k hƒ1k gƒ1k w1k kJ molϪ1 kJ molϪ1 0.296 0.147 Ϫ0.071... in App. A. hƒ1k gƒ1k w1k kJ molϪ1 kJ molϪ1 0.263 0.500 X X X X 0.503...Ϫ1 0.297 0.292 Ϫ0.399 Ϫ0.720 kJ molϪ1 kJ molϪ1 1.252 1.041 Ϫ2.792 Ϫ2.092... w2j X 0.03654 0.21106 gƒ2j kJ molϪ1 kJ molϪ1 Ϫ9.874 Ϫ3.887 Ϫ24.125...



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... (< L.-, '" ( ( L.? @1A , L (= ) * . IQ -,' & W2 -,' ( ________________________________________ ..2 P2 , - B)* ;, ;, 1 > B ! Q , O2 X( " $ $ - ;, 13"#$ > )-? $ .1 ) * Z[1\ & ,) J A "! .G KJ" .2 % AL ! " !)7 Z, a & 1 $ &!)-_7 ) * .,'" ( " #$ ; W1 ! . Y G KJ" .J ?TG & &" - B $) &!)@? Y G KJ... , .1* , ., Q " & ")_( L ! .2 A Q (")(6 ) )U ;, B ( & % )J * ; ? "! . 2 "! " !)7 E )U *"! & ")_( , L 2 % )J $ " #$ ;, B & 3 P 2 ; @ & <7 = " #$ . 2)=. $ ! 1 @ 0 12 "! = 1 3 i2' K2! & %$ & :" #3 ___________________________________________________ 5 ? 2 = , KJ " .W- &" #$ $ ! .2 A q-A > , Q "! .1 ) * .1 ! & > B .? @1A L&! 1D % )J . --(. 2' b@( $ > A & K2! .? @1A n 7 E .,'" ( "! !)K $ ")O- $ .1 ! & > B .7 $ "! . ( 1 3 Y")U .2 B 2 1% > O-K* U .!)=. s $ .$ 1 ! ")O- $ ! 0 . !" 17 ")_( .7 $ "! 52 ) E6* $ b@( `, G B > B ;, K2... > $ " >' &" P$ & ) * L.G KJ" ..2 P2 , h P L>' H 2 . & " #$ ) * ! B !") " #$ ( f -J" K? & W2 -,' L. IQ -,' L.? @1A , ) *.) Z, %J $ ! "! . ) * & '" ( "! <7 = ( 2)=. L.-, '" ( P\2 LdN$ u = "! = "= " #$ ;, B b, .J ?)c) - :" #3 ;, "! .J ?TG & &" - :B & '" ( ) % )J $ <7 = ; %J & '" ( u)c) ) * & '" ( .,'" ( ; %J & $ . L. 2 1 K2 A @ % A ) * &! -$ . H2 ) * & '" ( . 2 1 3" D. " $ @/ A = B .? @1A )[? .[( ")G $ [? "! ) * _J ( !" 2 !)A & ,! J 1 2 ;, "! H\$) .? @1A & ( .J L - 7 3 ! ( M ( . -1P...)G & $ V) & &k) )- J 2.!)=. & J) y ( L; [J L>),#,)[J L),! " & , Q , $ " >' , O2 $ .G KJ" & O2 ., 2 1-, L.G KJ" 2 , Q $ & J) y ( & " ;, L W,! &) B . 02 B &" P$ ")G $ " Y ?TG 2' B ( 2 2 " " $ ;, U * p, 12 = " )1N W1 ! 5, Y ?TG 5,B)J " P$ ‚ " .J $ \ & " ) ( J . P2 ! " 2(> = .$ ,B $ L&" ")(6 & $ " .? @1A >M % ") a L)h , L. \= 7 & ! $ `[%1 &" - ;, > = #,")J - = & ,) J .J)U L&" 1=)2 .G KJ" & &" ' .J ?TG... B (.%@A & [? -! Y G KJ" U ? .? @1A )[? ! %1 & ! ," $ emJ JJ $. 7 = b T( d* K Y G KJ" . -= % A . 2B ! Q. V) & % A O2 ! ; $ ;, J5 ( -. & O2 I, $ .? @1A & " 17 & '" ( &!)A ! N . P 2 ; @ .G KJ" € 1 ! "! .G KJ" & &k) )- J J " [ - ! ") a >" O2 $ & . -2 !. ! ) $ & 2 _\$ NJ " H,)7 )K bN L! 3. $> 2 = .G KJ... ` D! Z, %J B)- L>' $ |KJ & &" - B .1 ) * & > 2 3 = $ Y 7 W1 ! & 3 $» L " >' . 2 1 Y ?TG h " & $ 2 1-, I, $ ( .(www.worldbank.org) « 2 !. ;,T2' "! .G KJ" $ "! " &! %1 & B)* L. 2 1 Y ? @1A L. 2 1 . & K " " U -? ;, ; $ .[( 0P2 4 . -( z * " !)7 ) .1 ) * & > B & % A $ "! . )@? H\$ b, : ! %$ ";, B > B ) * ( . 2 1 ! L&! 1D .- .J ?TG . 1 0,! Y")U $ ) * E" %1 & H 2 @J & , B Y" K? . 2 1 .! 3 . ) * Z, %J % )J % )J L. N 1% , A|N ,$ ) * P,B & W, Q . 1 0,! .2 A |, = "! 2 )1$ J ! ( , # 0J 2 . 2 1 ) * ( .G KJ" . 1 0,! ) * ( 2 1% > W,! .J ?TG . 2 1 5 .[ ( , A & &" - $ !)A) (... Y ? @1A L! 1D L> 2 =) 1. Zhiyuan, F. (2002... E $ .? @1A .G KJ" L.J ?TG & &k) )- J B - $ & 3 1 3 & $ ( 4 . .- . .$ 0J )[? H2 ! B & ?)@0 1P b, b 2 1 "! & @? Y xJ & W-$ L> 2 =) % A $ ) * $ >' = L!)= Z, %J ( & ! N %J .!)$ ) * > = . 2 1 )7 (.... -@2 )J "! & 3" ( $ ‡ "! ) * ( 2 !( M 1 ) *;$ 7 &B ) * ( 1= ! > $ 2;-, $ .? @1A & , Q b 2 1 B 2 .2 P2 7 . -,' . )@? Y $ & $ J# 0 L.2 !" i2T$ ) * ) * &" ! .1 ! g & > B 8 5 . ,$ $. 2 1 %J # 2 &" 63 e B)* ;, 1@ 6 O2 > "! % A L&! 1D L&" P$ ! 1? $ L> 2 = . $ ! &M $ $ " l KJ" L!)7 $)2 $ .J ?TG & &" - .G KJ" Y 2 "! 1 " " ( $ ,) ! & &k) )- J . -(. 2 \J" B L&") @A PJ & W@_ )N2... g .2 P2 .? @1A , > " 6W1 ) * $ L.2 B .-, '" ( L.J G KJ" .J ?TG & &" - & " H Q ( W,! & H Q &" P$ { P ) * & '" ( "! .!" ! " D 0* - = 6 K C- 0* B }Q . 1 .-, '" ( L!" ! H 2 . @J ( 2 = n7E , KJ &" #$ ) * >! ( '" ( "! ( ., " #$ B . , $ .1 ) * & > B L ! .2 A q-A $ .$ 1 ! ")O- $ " &! 1D % )J 2' b@( $ > A & ")_( B &" P$ % )J -,' "! .1 ! Y P f ;, $ -$ . --( $ > B ;, Œ --(. $ .,)W\ Q "! > B " & = B PJ , & 1PA $ H 2 % )J 1. Entrepreneurship K2! .? @1A * "! & ")_( "! I, $ $ " !)7 .,'" ( ) > A & ")_( "! . [1\ ,! N W,! &) B . 2! ! !B > 2 = H, # ) * [? $ " >)3 2)3 & B 2 ________________________________________... ! @1? .2 L&" @ .%@A @? .3 LY G KJ" Y ?TG .4 1 L )@= .? @1A .W1PK@ .5 .. )[? Z[1\ & B)* > B ! Q , O2 | )J 1=" "! ) (" _ b@( PJ .? @1A , ) * [@A B $ > B B &" P$ . = > B -@2 )J .6 $ A)J $ ;, $ -$ >!)$ & 1="; $ .? @1A & ! (" ( B . , L>)3 2)3 & B)* > B .%@A &! 5$ - ;1= 2 W,! &) B . !)A = 13 ;, ! $" ( .? @1A , &" @ @? &B ;, .W- & $ " .U 7 YT _ E ` NJ & $ . .? @1A &! 1D % )J $ h P L.? @1A (" _ )7 ! 2 ;, ! [@? .,'" ( & 1 " "! .3"#$ 52 B . , " .? @1A , L - € P* L.2 A ƒ[U € T( ,)() ! [@? .,'" ( "! .? @1A...



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... anisme Obs! Høy temperatur Kjøretøylys bak Bryter i kjøretøyet Tilhenger... kabelfarge Måle / sammenlign e funksjon kabelfarge Kjøretøy test/program meringsenh et... fra batteriet for å unngå at kjøretøyelektronikken skades. Viktig henvisning... endringer og etterutrustninger på kjøretøyet og/eller kjølesystemet ble gjennomf... für Datenbus. o Funktion 007 Codierung (Dienst $1A) „Lange Codierung lesen/ schreiben“ anw... auswählen: 007 - Codierung (Dienst 1A) ƒ • Fahrzeugsystem auswählen: Bordnetz-SG... funkci: 007 - kódování (služba 1A) • Zvolte systém vozidla: Palubní síť SG... af diagnosefunktion: 007 - kodning (funktion 1A) • Udvælgelse af køretøjssystem... la función 007 Codificación (servicio $1A) "Lectura/escritura de codificación larga... diagnóstico: 007 - Codificación (servicio 1A) • Seleccione el sistema del veh...ä. o Valitse toiminnon 007 koodaus (palvelu $1A) "pitkän koodauksen kirjoitus/lukeminen". ƒ Valitse... Valitse diagnoositoiminto: 007 Koodaus (palvelu 1A) ƒ • Valitse ajoneuvojärjestelmä: Sähköverkon.... o Select function 007 coding (service $1A) “reading/writing long code”. ƒ Select... function: 007 – Coding (Technical Support 1A) ƒ • Select vehicle system: Electrical system... 383 E και μετά ο εγκέφαλος Gateway -J533 θα πρέπει να ενημερωθεί ως εξής: Ξεκινήστε την καθοδηγούμενη αναζήτηση βλάβης με τη δοκιμή συστήματος του οχήματος. Επιλογή λειτουργικών εξαρτημάτων • Αμάξωμα o Αμάξωμα - Εργασίες συναρμολόγησης ƒ Αναγνώριση ρυμούλκας • Λειτουργίες o Αντικαταστήστε τον εγκέφαλο για την αναγνώριση ρυμούλκας. ƒ Επιλέξτε την κωδικοποίηση χώρας. • 2. Όλα: Η πύλη από την πλευρά οχήματος πρέπει να κωδικοποιηθεί με μια συσκευή δοκιμής για την επέκταση λειτουργιών της διάταξης κοτσαδόρου ως εξής: • Λέξη διεύθυνσης «19» Διεπαφή διάγνωσης για δίαυλο δεδομένων. o Επιλέξτε τη λειτουργία 007 Κωδικοποίηση (υπηρεσία $1A) «Ανάγνωση/εγγραφή μακράς κωδικοποίησης». ƒ Επιλέξτε τη λέξη διεύθυνσης «69» λειτουργίας ρυμούλκησης. • 3. Λέξη διεύθυνσης «76» Υποβοήθηση παρκαρίσματος. o Επιλέξτε τη λειτουργία «07 Κωδικοποίηση εγκεφάλου». ƒ Αλλάξτε το 5ο δεκαδικό ψηφίο (από δεξιά) από «0» σε «1» (XX1XXXX). • Λέξη διεύθυνσης 76... Ηλεκτρονικό σύστημα φρένων ƒ 011 Τιμές μέτρησης • 9. Καταχωρίστε «10» και «Q». o Ρυμούλκα ναι Μόνο για Touran: Για απενεργοποίηση του φανού ομίχλης κατά την οδήγηση με ρυμούλκα το κεντρικό ηλεκτρονικό σύστημα του οχήματος πρέπει ενδεχομένως να κωδικοποιηθεί ως εξής: • Επιλέξτε το σύστημα οχήματος: 09 Ηλεκτρονικό κεντρικό ηλεκτρικό σύστημα o Αναγνώριση: Συνέχεια Επιλέξτε τη λειτουργία διάγνωσης: 007 - Κωδικοποίηση (Υπηρεσία 1A) ƒ • Επιλέξτε το σύστημα οχήματος: Εγκέφαλος οχήματος Μακρά κωδικοποίηση o Αλλάξτε την τιμή κωδικοποίησης: Byte 8 δείγμα Bit x1xxxxxx (x: πληκτρολογήστε τις υπάρχουσες τιμές στο πεδίο καταχώρισης). Για το σκοπό αυτό περάστε στη λειτουργία καταχώρισης [BIN]. 10... az adatbuszhoz. o Válassza a 007 Kódolás ($1A szolgáltatás) „Hosszú kódolás olvas... la funzione 007 codifica (servizio $1A) "Lettura/scrittura codifica lunga". ƒ Selezionare... di diagnostica: 007 – Codifica (servizio 1A) • Selezionare il sistema del veicolo... - 020 79 3. Passat, Octavia, Leon: På kjøretøy med VW-parkeringshjelp må det...). Koble da til innleggingsmodus [BIN]. 6. På kjøretøy fra og med årsmodell..., Touran, Tiguan, Octavia, Leon, Superb: På kjøretøy fra og med produksjonsdato... følger: • Angitt feilsøk o Velge kjøretøy ƒ >videre (kjøretøysystemtest) • med "hopp... av montert styreenhet eller automatisk. 8. På kjøretøy fra og med årsmodell... tilhengerfeste kontrolleres på følgende måte: Selvtesting kjøretøy o 03 Bremse-elektronikk ƒ 011... 9. Kun Touran: Den sentrale elektronikken på kjøretøyet må eventuelt kodes for utkobling av tåkebaklys på kjøretøyet ved tilhengerdrift på følgende måte: • Velge kjøretøysystem: 09 Elektronisk sentralelektronikk... diagnosefunksjon: 007 - Koding (tjeneste 1A) ƒ • Velge kjøretøysystem: Nettspenning-SG koding... bremse-elektronikken kodes på nytt: Selvtesting kjøretøy o 03 Bremse-elektronikk o Les... 03 Pådragselementdiagnose • Trykk "Videre", ⇒ bremselys på kjøretøyet tennes • Avbryte Pådragsorgandiagnose... på styreenheten til parkeringsbremsen Selvtesting kjøretøy o 53 Parkeringsbrems ƒ Kjøretøy uten AutoHold-funksjon: Kodetall 11 ƒ Kjøretøy med AutoHold-funksjon: Kodetall... databus. o Functie 007 codering (dienst $1A) kiezen – Lange codering lezen/schrijven... ƒ Diagnosefunctie kiezen: 007 - Codering (service 1A) • Voertuigsysteem kiezen: Boordnet-servicetoestel codering.... o Wybierz funkcję 007, kodowanie (Opcja $1A) „Odczyt/zapis długiego kodowania“. ƒ Wybierz... funkcję diagnozy: 007 - Kodowanie (Opcja 1A) ƒ • Wybierz system pojazdu: Sterownik napi.... o Вызвать функцию 007 Кодировка (Dienst $1A) „Считать/записать длинные кодировки“. ƒ Набрать... функцию диагностики: 007 - Кодировка (Dienst 1A) ƒ • Выбрать систему автомобиля: Контроллер бортовой.... o Välj 007-koderingsfunktionen (tjänst $1A) Läs/Skriv lång kodering. ƒ Välj adressord... diagnosfunktion: 007 – kodering (tjänst 1A) ƒ • Välj fordonssystem: Bordnät-SG kodering...



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0.35/5
... if it has a multiplicative unit 1A = 1. Immediate consequence: 1∗ = 1, 1 = 1 ( 1 = 12 = 1 2). If A and... unital, ϕ is called unital if ϕ(1A ) = 1B . A surjective ϕ is always unital..., A˜ is a unital ∗-algebra with unit 1A˜ = (0, 1). ι is an injective, π a surjective ∗-homomorphism... sum product). Example: A unital, put α = 1, a = 1A , then (a, α)(a∗ , α ¯ ) = max( aa∗ + α ¯ a∗ + ∗ 2 2 2 2 αa , |α| ) = 3, (a, α) = max( a , |α| ) = 1. Recall... other hand, if A is unital, (1A , −1) is in the kernel of...). The isomorphism is given by (a, α) → (a + α1A , α) (easy exercise). As before, we... with the isomorphism. Note that (−1A , 1) is a projector in A ⊕ C. Proposition 1.6. A˜ is... defined as sp(a)(= spA (a)) := {λ ∈ C | a − λ1A is not invertible in A}. (1.13...: (i) If A = {0} then sp(0) = ∅. (ii) sp(λ1A ) = {λ} for λ ∈ C. (iii) a ∈ A is invertible if... as the spectrum of ι(a) ∈ A. ((a, 0)(b, β) = (ab + βa, 0) = (0, 1) = 1A˜ ). Definition 1.7. An element a of a C*-algebra... if A is unital and aa∗ = a∗ a = 1A . • a projector if a = a∗ = a2 . The set...(p) ⊆ {0, 1}. Then p is a projector. (i): u = 1, due to u 2 = u∗ u = 1A = 1. Hence |λ| ≤ 1 for λ ∈ sp(u). By the... C(sp(u)) → C ∗ (u, 1), ¯ sp(u) → u∗ . Hence 1sp(u) → u∗ u = uu∗ = 1(= 1A ). mapping idsp(u) → u and id (iii... only if a∗ is invertible, thus a−λ1A is invertible ¯ is invertible. Thus... star operation) exp (−ia) = n=0 (−ia) n! 1A = exp (−ia) exp (ia), so... not necessarily injective. If a − λ1A is invertible, then ϕ(a − λ1A ) = ϕ(a) − λ1B is invertible (with inverse ϕ((a − λ1A )−1 )). This shows C \ sp... of A. Then U0 (A) := {u ∈ U(A) | u ∼h 1A in U(A)} (connected component of 1A in U(A)). Remark 2.3. If... ϕ(aj ) = hj . Then kj := self-adjoint and satisfy ϕ(kj ) = hj . Put aj... |u| = 1, hence ω(u) = u. For a ∈ GL(A), put at := ω(a)(t|a|+(1−t)1A), t ∈ [0, 1]. This is a continuous path from..., there is λ ∈]0, 1] with |a| ≥ λ1A . Then, for each t ∈ [0, 1], t|a| + (1 − t)1A ≥ λ1A . (Properties of positive operators, use the isomorphism C(sp(a∗ a)) → C ∗ (a∗ a, 1).) Hence t|a|+(1−t)1A and consequently at are invertible...∗ , (i) ∃u ∈ U(A) (ii) ∃u ∈ U(A) : q = upu∗ , (iii) p ∼ q and 1A − p ∼ 1A − q. Proof. Let f = 1A˜ −1A = (−1A , 1). Then A˜ = A+Cf and f a = af... u ∈ U(A). Put v = up and w = u(1A − p). Then v ∗ v = p, vv ∗ = q, w∗ w = 1A − p, ww∗ = 1A − q. (2.9) (iii) =⇒ (i): Assume that there... K0 (λ) : K0 (C) −→ K0 (A). Hint: Let f = 1A˜ − 1A , a projection such that A˜ = A ⊕ Cf (direct... coherence condition holds: Φij = Φik ◦ Φkj whenever j ≤ k ≤ i, and Φii = id. Let... there is k ≥ i such that ˜ kj (p) ⊕ 1m || < 1/2 and ||x∗ xk − s(Φ ˜ kj (p)) ⊕ 1m || < 1/2, ||xk x∗k − Φ k ˜ ki... part (ii) of Exercise 38, Φ ˜ kj (p) ⊕ 1m is equivalent to where... in Mn+m (A˜m ). Thus s(Φ ˜ kj (p) ⊕ 1m ]0 − [s(Φ ˜ j (p)) ⊕ 1m ]0 = 0 K0 (Φkj )(g) = [Φ in K0 (Ak ). Consequently, ϕj (g) = (ϕk ◦ K0 (Φkj ))(g) = 0, as required. Surjectivity of ϕ. Consider ... C*-algebra. We have A˜ = A ⊕ Cf , where f = 1A˜ − 1A . Define a unital ∗-homomorphism µ : A˜ → A by... Combining Theorems 6.2 and 6.4 we get Kj (SA) ∼ = K1−j (A) for any C*-algebra... any action α : R → Aut(A), we have Kj (A) ∼ = K1−j (A ⋊α R). (7.11) ∼ K1−j (A ⊗ C0 (R)) ( In... of a trivial action, we have Kj (A) = Bott periodicity). Intuitively, the Connes..., by the Connes-Thom isomorphism, Kj (A ⋊α Z) ∼ = Kj (Mα ⋊β R) ∼ = K1−j (Mα ). (7.14) Now, there is... the zero map. Consequently, since θ Kj (C(S 1 )) ∼ = Z, we get K0 (Aθ ) ∼ = K1 (Aθ ). = Z2... (]0, 1[, D) → Aˆ → B1 ⊕ B2 → 0 (7.29) Kj (C0 (]0, 1[, D) ∼ = K1−j (D), j = 0, 1. (7.30) ˆ ∼ Kj (A) = Kj (A), j = 0, 1. (7.31) Then the sequence... ϕ1 = ψ ◦ ϕ. This proves that A/I1 and A/ Kj (k) are isomorphisms. Thus from the... ) + =− k (dαki − ∇♭ (αij ⊗ π(Zj )) = j αji (− j k αkj ⊗ π(Zk )) = αkj ∧ αji )π(Zk ), j i.e. R = dα − α ∧ α. This implies c1... that also B3 = B4 = . . . since d = kj = 0 175 Part II 4.4.4 Spectral sequences... transformations of Rn [Yij , Ykl ] = δkj Yil − δil Ykj , [Yij , Xk ] = δkj Xi , [Xk , Xl ] = 0. i The succesive ... presentation [Xk , Xl ] = 0, [Yij , Ykl ] = δkj Yil − δil Ykj , [Yij , Xk ] = δkj Xi , i i , ] = δjk|l [Xlr , δjk|l 1 ...lr 1 ...... where it gives an isomorphism Kj (A) ∼ = Kj (A ⊗ C0 (R2 )). The homotopy groups... map f : V → A (an R-algebra) that satisfies f (v)2 = g(v, v) 1A for all v∈V extends to an... + vu − 2g(u, v)1) = f˜((u + v)2 − u2 − v 2 ) − 2g(u, v) f(1) = [q(u + v) − q(u) − q(v) − 2g(u, v)] 1A = 0. Here are a few applications of... and A is its C ∗ -completion, then Kj (A) = Kj (A) for j = 0, 1. More precisely, if i : A → A is the (continuous, dense) inclusion, then i∗ : Kj (A) → Kj (A) is an surjective isomorphism, for... Xi± , Ki±1 , 1 ≤ i ≤ n and relations Ki Kj = Kj Ki Ki Ki−1 = Ki−1 Ki... of 1-forms on A, denoted by Ω1A/k = Ω1A , as an A-module generated by... n-th exterior power of Ω1A ΩnA := ΛnA Ω1A . Elements of ΩnA can... commutative, M an A-module, then H1 (A; M ) = M ⊗A Ω1A . There is a map π : Cn (A) = A⊗(n+1) → ΩnA...