...REVISED SIMPLEX METHOD We have implemented the simplex algorithm by using the Tableau to update the information we proceed along the various steps. For problems with only a few variables the simplex method is efficient. However, problems of practical interest often have several hundred variables. The tableau method is hopeless for problems containing more than a few variables. We are in fact calculating AB-1aj for all j as well as calculating all components of the relative cost coefficient r, albeit in an fairly automatic manner. However, we really need to know only one component rj of r, one row AB-1aj of the Tableau †(B), and the column constant AB-1b of the Tableau in order to pass to the next basic index set B. The goal of the revised simplex method is the ordering of all calculations so that no unnecessary calculations are performed. No new theory will be need. The simplex algorithm exactly as written in an earlier chapter will be implemented. The implementation will avoid all unnecessary calculations and will try whenever possible to update any available information. The Simpex Algorithm (Theoretical Foundation) 1. 2. Start with some basic index set B1 = {i(1), i(2), … ,i(m)}. Compute a coefficient of the relative cost coefficient rj = cj - cBAB-1aj for B1 until some index j with rj > 0 is found. (i).If all rj ≤ 0, termination phase has been reached. (ii).Only those j M N1 are candidates 3. Find AB-1aj = aj and AB-1b = b and compute the allowable ratios of the jth column...
Words: 3270 - Pages: 14
...evs k e¨vsK sjv‡`k K wnDg¨v wi‡mv‡m©m wWcvU©‡g›Uvb -1 (wiµyU‡g›U GÛ AvD ‡g DU‡mvwm©s DB Bs) cÖavb Kvhvjq h© XvKv v www.bb.o org.bd www.bb.o org.bd weÁwß bs s-36/2014 ZvwiL t 31/08/20 L 014 evsj jv‡`k e¨vs‡K ÔmnKvix cwiPvjK(‡R K c Rbv‡ij mvBW c‡` wb‡q cÖm‡½| W)Õ qvM evsjv‡`k e¨ e¨vs‡K ÔmnKvi cwiPvjK (‡Rbv‡ij mvBW)Õ c‡` wb‡qv‡Mi D‡ vix m ` D‡Ï‡k¨ MZ 26/04/2013 Zvwi‡L M„nx wjwLZ cixÿv 2 3 nxZ ci Ges cie ‡Z AbywôZ ‡gŠwLK cixÿvq DËxY© cÖv_x©‡`i ga¨ n‡Z wb‡¤œv³ ‡ivj b¤^iavix 102R cÖv_©x‡K 2 ch©v‡q D³ c‡` wb‡qv eZx© c Y© g ¤œ ¤^ Rb 2q qv‡Mi Rb¨ wbe©vw Kiv n‡q | cÖv_x©‡`i ‡ivj b¤^‡ii cv‡k¦© ewY©Z Zvwi‡Li g‡a¨ gnve vcK, wnDg¨vb wi‡mv‡ m wWcvU©‡g vwPZ ‡q‡Q ‡ ¤^ e Li e¨e¯’ wn v‡m© ‡g›U-1, evsjv jv‡`k e¨vsK, cÖa Kvh©vjq( avb feb 6ô Zjv), XvK wi‡cvU© Kivi civgk w`‡q B‡Zvvg‡a¨ D‡jøwLZ cÖv_x©‡`i e gvb I ¯’vqx wVKvbvq Advi cavb (cÖ 6 vKvq U© gk© Z eZ© A ‡jUvi ‡cÖiY Kiv n‡q‡ t cÖ q‡Q µt bs 01) wbe©vwPZ cÖv_x©‡`i ‡ivj b¤^i j ‡h Zvwi‡L L wi‡cvU© Ki‡Z ‡Z n‡e| 09/09/201 14 Zvwi‡Li g‡a a¨ 02) 01244, 02 2714, 02809, 04900 05078, 05115, 05 0, 5190, 080 082, 10178 10330, 10792, 8, 11075, 11 1228, 1135 14980 15032, 15683, 16 50, 0, 6220, 162 230, 16305 17127, 17294, 5, 17894, 18 8165, 18784, 22642 22768, 22969, 23 2, 3122, 232 219, 23235 23306, 23496, 5, 23637, 23 3649, 237 26100 26204, 27848, 29 715, 0, 9556, 296 623, 29936 32376, 33138, 6, 33250, 33 3914, 34173, 35847 35880, 36144, 36 7, 6208, 398 838, 40106 40576, 40702, 6, 42796, 43 3505, 448 838, 45111 45263, 45402, 45 1, 5987, 461 145...
Words: 481 - Pages: 2
...www.examrace.com ·· ..... . ·· ·. . ... . . .. . SOL'VEID PAPER 2013 (Memory .Based) .... :: .. ·... ·. .·... :· : MATHEMATICS 1. If a, p are t!-le roots of ax2 + bx + c 1 then -~·- = 0, 1 13 are the roots of 8. The mean of a· binomial distribution is 5, then its vari;:mce has to be (a) > 5 (b) = 5 =0 a =o (c) < 5 (d) = 25 9. If a is the single A.fyl. between two numbers (c) cx 2 + bx + a =0 a and b and Sis the sum of n A.M.'s between =0 them, then A depends upon 2 (a) ax (b) cx 2 (d) ax - - 2 bx + c bx + bx - c - s 2. The number of real roots of the equation (x - 1)2 + (x - 2)2 + (x - 3)2 o is (a) 1 (b) 2 = (c) 3 3. If (d) None of these s· is the set containing values of x satisfying rX)' - 5[ XJ+ 6 :S 0 , (2, 4) (b) (2, 4j (C) [2, 3] (d) (2, 4) 4. Seven people are seated in a circle. How many relative arrangements are possible? (a) 7! (c) 7p s (b) n, a (c) n, b 1 1 (d) n , , 10. 2< 46 siG1632 ... upto oo equal to (b) .2 (a) Where [X) denotes GIF, then S contains (a) (a) n, a, b 5. (d) - 3 2 (c) - 2 11. The odds in favour of India winning any cricket match is 2 : 3. What is the probability that if India plays 5 matches, it wins exactly 3 of them? (b) 6! (d) 7Ce 5. In how many ways can 4 people be seated on a square table, one on each side? (a) 4! ...
Words: 4938 - Pages: 20
...;:::. :~ t.f; ~:J :i~ gJ ,;(' t \j' ~}~ '_ I Levels of culture 11th juror: (rising) 'I beg pardon, in discussing ... 10th juror: (inlerrupting and mimicking) 'I beg pardon. What are you so goddam polite about?' 11th juror: (looking s- raight at the 10th juror) 'For the same reason you're not. t It's the way I was brought up.' From Reginald Rose, Twelve Angry Men .;."" ' , ' , ·· ~.t,:' . '~ ,r ' ?,./ ......~ ~ i "·~:,>~i ;¥ '. .' I.' '=..,. :I....... Cl'~ .~ ';-;X•. .; ~ ::;~·r : ';f1 ~i-.:~ ;,;-" "~fS'::, ':~i , ~ " ;;: ~:~~ ~.~-~ : f ( f' 1-' : ::;'._, :: ::~!'~' • ~. ") "'{.~,:,~fr~;.f~- :: JHfffl t:;t~t~: ie-lD .ti'l~r~~" .~·~': ~ ~, :~··~ ·; ~.':l ;>~~~~ '<}{~ID:.) ~l4) JLu} r;: .bg,((! \ .,; ,:.. · ..·;~\~i':};,' ::ij 1:;-h .f.;t!£ .,i-:::;"} ~.) :i/;.~-:\: .• ~ ':rJ~) ~)>1~J lt tJ( . :-.r~r~~ ',:" " "--.Lt.~·"·1qI)O:· . bl1t~IJi-~b ;;_: ,:, ,"'"'" :'n:,~:.:n;~;:i~' ,. ~. If }.- i~~]~:·::-'nin:~.:' ,iWitl, !ic'q re, ,'1.Q_it;,n~rwv) ;j;,/ , 'ho.qqii2 <5/~jh:::,~,,: ; - ,;'l;jl)(: - , ,?:;-'; . n:J:Ai~r<, ;;':",' Twelve Angry Men is an American theatre piece which became a famous motion picture, starring Henry Fonda. The play was written in 1955'. The -scene consists of the jury room of a 'New York court of law. Twelve jury members. who have never met before have to decide ~,.manimously on the guilt or innocence of a boy from a slum area, accused of murder. The quote abo-ve is from the second and final act when emotions have reached boiling point...
Words: 8895 - Pages: 36
...CHAPTER 14 CHEMICAL KINETICS PRACTICE EXAMPLES 1A (E) The rate of consumption for a reactant is expressed as the negative of the change in molarity divided by the time interval. The rate of reaction is expressed as the rate of consumption of a reactant or production of a product divided by its stoichiometric coefficient. A 0.3187 M 0.3629 M 1min rate of consumption of A = = = 8.93 105 M s 1 t 8.25 min 60 s rate of reaction = rate of consumption of A2 = 8.93 105 M s 1 4.46 105 M s 1 2 1B (E) We use the rate of reaction of A to determine the rate of formation of B, noting from the balanced equation that 3 moles of B form (+3 moles B) when 2 moles of A react (–2 moles A). (Recall that “M” means “moles per liter.”) 0.5522 M A 0.5684 M A 3moles B rate of B formation= 1.62 104 M s 1 60s 2 moles A 2.50 min 1min 2A (M) (a) The 2400-s tangent line intersects the 1200-s vertical line at 0.75 M and reaches 0 M at 3500 s. The slope of that tangent line is thus 0 M 0.75 M slope = = 3.3 104 M s 1 = instantaneous rate of reaction 3500 s 1200 s The instantaneous rate of reaction = 3.3 104 M s 1 . (b) At 2400 s, H 2 O 2 = 0.39 M. At 2450 s, H 2 O 2 = 0.39 M + rate t At 2450 s, H 2 O 2 = 0.39 M + 3.3 10 4 mol H 2 O 2 L1s 1 50s = 0.39 M 0.017 M = 0.37 M 2B (M) With only the data of Table 14.2 we can use only the reaction rate during the...
Words: 21380 - Pages: 86
...certain MBA program must take three required courses in ¯nance, marketing and business policy. Let Y1, Y2 , and Y3 , respectively, represent a student's grades in these courses. The available data consist of the grades of ¯ve students (in a 10-point numerical scale above the passing mark), as shown in Table 14.1. Table 14.1 Student grades Student no. 1 2 3 4 5 Finance, Y1 3 7 10 3 10 Grade in: Marketing, Y2 6 3 9 9 6 Policy, Y3 5 3 8 7 5 °Peter Tryfos, 1997. This version printed: 14-3-2001. c 2 Chapter 14: Factor analysis It has been suggested that these grades are functions of two underlying factors, F1 and F2, tentatively and rather loosely described as quantitative ability and verbal ability, respectively. It is assumed that each Y variable is linearly related to the two factors, as follows: Y1 = ¯10 + ¯11 F1 + ¯ 12 F2 + e1 Y2 = ¯20 + ¯21 F1 + ¯ 22 F2 + e2 Y3 = ¯30 + ¯31 F1 + ¯ 32 F2 + e3 (14:1) The error terms e1, e2, and e3 , serve to indicate that the hypothesized relationships are not exact. In the special vocabulary of factor analysis, the parameters ¯ij are referred to as loadings. For...
Words: 6747 - Pages: 27
...wjwg‡U‡Wi g‡a¨ 15Ð11Ð2007 Zvwi‡L m¤cvw`Z ‡fÛim& GwMÖ‡gÈ ‡gvZv‡eK AMÖYx e¨vs‡Ki mKj m¤c`, `vq, `vex I cvIbv AMÖYx e¨vsK wjwg‡U‡Wi wbKU n¯—vš—wiZ nq| AMÖYx e¨vsK wjwg‡UW Gi †g‡gv‡iÛvg Ae G‡mvwm‡qkb GÛ AvwU©†Kjm Ae G‡mvwm‡qkb Ges m¤cvw`Z ‡fÛim& GwMÖ‡g‡›U cÖ`Ë ¶gZve‡j AMÖYx e¨vsK wjwg‡U‡Wi cwiPvjbv cwil` (Board of Directors) AMÖYx e¨vsK wjwg‡UW Kg©Pvix PvKzix cÖweavbgvjv, 2008 bv‡g wbæiƒc cÖweavbgvjv cÖYqb Kwi‡jb, h_v t cÖ_g Aa¨vq cÖviw¤¢K welqvw` 1| msw¶ß wk‡ivbvgv I cÖ‡qvM t (1) GB cÖweavbgvjv ÔÔAMÖYx e¨vsK wjwg‡UW Kg©Pvix PvKzix cÖweavbgvjv, 2008ÔÔ bv‡g AwfwnZ nB‡e Ges 1 jv Rvbyqvix,2010 nB‡Z Kvh©Ki nB‡e| Z‡e kZ© _v‡K †h, (K) †h mKj Kg©Pvix eZ©gv‡b Aemi cÖ¯‘wZg–jK QywU‡Z iwnqv‡Qb Ges 31-12-2009 Bs ch©š@ Aemi cÖ¯‘wZg–jK QywU‡Z hvB‡eb Zuvnviv GB cÖweavbgvjvi AvIZvf‚³ nB‡eb bv Ges (L) AMÖYx e¨vsK wjwg‡UW - G 2008 mv‡j †h mKj Kg©Pvix mivmwi wb‡qvMcÖvß nBqv‡Qb, Zvnv‡`i †¶‡Î GB cÖweavbgvjv 1 jv RyjvB,2008 nB‡Z Kvh©Ki nBqv‡Q ewjqv MY¨ nB‡e | (2) GB cÖweavbgvjv we‡`‡ki kvLv/Awdmg~‡n ¯’vbxqfv‡e wb‡qvwRZ Kg©Pvix e¨wZ‡i‡K AMÖYx e¨vsK wjwg‡U‡Wi mKj ¯’vqx Kg©©Pvixi ‡¶‡Î cÖ‡hvR¨ nB‡e, Z‡e †cÖl‡Y wb‡qvwRZ A_ev LÛKvjxb ev mvgwqKfv‡e wb‡qvwRZ Kg©Pvixmn Pyw³wfwËK wb‡qvwRZ Kg©Pvix‡`i †¶‡Î, GB cÖweavbgvjvi †Kvb wKQz cÖ‡hvR¨ ewjqv Zuvnv‡`i PvKzixi k‡Z© ¯•ó DwjwLZ bv _vwK‡j, Dnv cÖ‡hvR¨ nB‡e bv| (3) MYcÖRvZš—x evsjv‡`k miKvi Ges AMÖYx e¨vsK wjwg‡UW-Gi g‡a¨ m¤•vw`Z †fÛim&...
Words: 16457 - Pages: 66
...LANDWIRT BRANDED– DELHI –FEB’12 PROJECT LANDWIRT Card 1 (8-10) Recruitment Questionnaire 1 0 D 5 D 1 M 0 2 DATE M Y 2 5 3 Y 0 1 Y 1 QRE SR.NO. Y 1 N ZONE CODE E W S C (21) 2 0 MB WEEK NO. 1 1 (22-27) (11-18) Area/St Add No. (31-36) Int/HH Srl No. (41-46) Name of the Respondent Address Land mark Telephone Number Res: Work Place: INTERVIEW START TIME (HHMM) Mobile INTERVIEW END TIME (HHMM) (51-58) (61-68) LENGTH OF INTERVIEW Mins Random Booster / Purposive (71-73) 1 2 (74) CARD 2 (8-10) Name of Interviewer Intr. Code Name of Team Leader T L Code (11-20) (21-30) ACCOMPANIMENTS REF Number Delhi 02 (42-48) Chennai 03 Kolkata 04 Coimbatore 05 06 Hyderabad 07 Salem 08 3 FM (31-41) 2 OFE 01 1 EIC Mumbai Bangalore TL Centre Name 4 Signature (49-50) BACK CHECKED Tel Per REF Number TL 1 5 (53-63) EIC 2 6 (64-74) OFE 3 7 FM 4 8 Signature CARD 3 QUOTA CHECKING SHEET SCRUTINISED AGE SEC REF Number 1 25-35 1 SEC B 2 36-45 2 SEC C TL SEC A 3 1 (11-21) EIC 2 (OFE 3 FM 4 (22-32) (35) (37) Signature Response Translations done by Name Ref No. of Tanslator (41-50) Response Translations checked by Name Ref No. of person checking Translation (51-60) 1 LANDWIRT BRANDED– DELHI –FEB’12 If this is the first qr (Srl no. 1)used in a st add allotted, write below the exact st add allotted Allotted St add: ____________________________________________________________this enables to have...
Words: 9093 - Pages: 37
...PAGE 1 gvmy` ivbv †e`yCb Kb¨v KvRx Av‡bvqvi †nv‡mb GK jÛb| mgqUv mܨvivZ| wnjUb B›Uvib¨vkbvj-Gi AvUZjv| †iW Kv‡c©U †i‡¯—viuv A¨vÛ evi| ev‡ivZjvi my¨B‡U e‡m cÖvq mvivUv w`b wbR G‡RwÝi wKQy †cwÛs dvBj co‡Z co‡Z K¬vš— n‡q c‡o‡Q gvmy` ivbv| fvej, hvB, `yÕ-†XvK ûBw¯‹ wM‡j GKUz SiS‡i n‡q Avwm| Pvi †d¬vi bx‡P †b‡g Xy‡K coj †iW Kv‡c©U evi-G| wfZ‡i †ek wfo †`‡L GKUz AevKB n‡jv I| evi-Gi mvg‡b GKUv Mw`‡gvov my`„k¨ Uz‡j emj| wgwbU we‡kK ci ûBw¯‹i wej †gUvj I, Uyj †Q‡o myBs †Wvi-Gi w`‡K nuvU‡Q| wVK Ggwb mgq GKwU bvixKÉ Ii Kv‡b †hb gayel©Y Kij, g‡b n‡jv D”Q¡v‡m Aaxi n‡q AK¯§vr †KvbI †KvwKj †M‡q D‡V‡Q| MjvUv GZB wgwó †h, AvKzwj-weKzwj K‡i I‡V ey‡Ki wfZiUv| wb‡Ri ARv‡š—B †_‡g †Mj Ii cv `y‡Uv| †÷R-Gi w`‡K Nvo †divj ivbv| Agwb †g‡qwUi m‡½ †PvLv‡PvwL n‡q †Mj Ii| †hb g¯— eo †KvbI wkíx g‡bi gvayix wgwk‡q K¨vbfv‡m Gu‡K‡Q Dw™¢bœ‡hŠebv, Aciƒc GK igYx‡K| Zvi †PvL-Ryov‡bv †`n‡mŠôe Pz¤^‡Ki gZ a‡i ivLj Ii `„wó| Mv‡qi i‡Oi m‡½ g¨vP Kiv †Mvjvwc wm‡éi †Xvjv NvNiv c‡i‡Q my›`ix| Kuv‡ai †ikwg Pz‡ji ¯—~‡c ¯^”Q ¯‹vd© AvUKv‡bv| nvZKvUv Kv‡jv e−vD‡Ri kvmb gvb‡Z PvB‡Q bv GKUz IfvimvBh, myDbœZ ¯—b hyMj| ivbvi nvU©weU †e‡o †M‡Q| †Vuv‡Ui Dci GKUz GKUz Nvg Rg‡Z ïi“ Kij| Ggb cÖkvš—, †Kvgj I cwicvwU iƒc Av‡M †evanq KLbI †`‡Lwb ivbv| wd‡i G‡m GKUv †Uwe‡j em‡Z n‡jv ivbv‡K| wgwó my‡i GKUv †g‡jvwWqvm cc MvB‡Q †g‡qwU| D”Pvi‡Y †KvbI Uvb bv _vK‡jI, †Pnviv I †cvkvK †`‡L Zv‡K BD‡ivwcqvb e‡j g‡b n‡jv bv| m‡›`n †bB AmvaviY wgwó †g‡qwUi KÉ| Zzjbvnxb| cy‡iv MvbUv bv ï‡b IVv †Mj bv| nv‡Z KvR bv _vK‡j AviI wKQy¶Y emevi B‡”Q wQj ivbvi|...
Words: 61622 - Pages: 247
...Definition: (1) Matrix, (2) Term rank of a matrix, (3) Chromatic Function, (4) Chromatic Index of G, (5) MAP. Answer: a) Matrix: The mxn matrix A = (aij) in which aij = 1 if ei (( si, and aij = 0 otherwise we call such a matrix, in which each entry is 0 or 1, a (0, 1) matrix. b) The Term Rank of A Matrix: The term rank of A is the number of elements in a partial transversal of largest possible size. For the figure, the term rank is 4. c) Chromatic function: Let G be a simple graph and Let PG (K) be the number of ways of coloring the vertices of G with K colors so that no two adjacent vertices have the same color. PG is called the chromatic function of G. For example, if G is the free, shown in the figure then PG (k) = K (K-1)2 d) Chromatic Index of G: if G is K colorable (e) but not (K-1) colorable (e) we say that the chromatic index of G is K and write X` (G) = K. For example, the figure shown for which X’ (G) = 4. e) MAP: A map is defined as a representation, usually on a flat surface of a whole or part of an area. The job of a map is to describe spatial relationships of specific features that the map aims to represent. Define A flow of a network: A flow in a network is a function p that assigns to each are a non-negative real number p(a), called the flow in a, in such a way, that, i) For each are - a, p(a) ≤(( (a); ii) The out-degree and in-degree of each vertex, other than v or w, are equal. What is edge-disjoint paths? Edge-disjoint paths:...
Words: 4817 - Pages: 20
...gEcFiE€€itgFiiE€ .EdErf .oI oE I E HE 5d =[EhE $'Es;5b e g.r-P xr G-'5a' z : F" fiE _ 8s t r t r tr e I sH o 0) o .+ l c ) @ IU I(g v) I F a, l(,) u:a.E-e 5€ -. b.x rlr F €F" s 5 I c, x q.) LY t- lJh EEs*.E &E *'E€ EE I.s 'E.a 'H6o"'EFsgP ii15o.tr . E E F0- i = ! . ,^ q 3 tr Tb p Eb ! u 'E c = .gE fi ! g E 6 s3..e Hh 3t Eq e a E E " EE E.gS:i - E.H 'P 5n El s, F P h " o o I x ' ' F. 9 t E B hO(gobo=uocJ .ud:Eg t E o o a > .'x .9 aa.v iEETEii*E€= s ii i(o 'rF EAD F^h > 6";i 4; Eg TE EE o' fr. 3: i t -dd .tn *'i 6!! lu) Z,E o t!6 6r -rh ;6 g0J AL xe -68 cil ",H0)'u rE *F cg ^ x4 E' EH EE I€; u.o =1 3' t-jE - zE frer HUi F E =i t 3 F -'r tr h EC= P.=€ +.1 d1 n9 dr x9g r ; -- F e i ^ ,:,.Y d 6 ir > '-: tx Xr' i : = x , s+ HT 5 I >? .'F* =. l t b O r . : i r'x E fl.i Hg Ei o; E iq, bO: >'F rfi - v g ^ ! F o#i xIEfi.e EE5 A-P.2-q.",-.c o.U i9 b E^.9 bij5 ii€l-H bOp(!-c fitr 9.: d:/\;i E or .FU:i de2.YtrE-n'i S or4i o s-lH A9dAr si Ei :6frf'{EtEi =gd9 -E3 r8";:.bU s o.UtE SOJUh L EEFEEEEEg E g EHETEEfrEE E N s< I5 ; e r * 3: H .: EgF{Eiii€i= E; ;=E E *giir,E iliaiE;a; €;E[EiE$?ggEit gr gEiaE irt i ia;t!li glgli?ag iE!iiiiE giliglii gii iii ii EElii ji igll igi gaiiiil i giililli g E iii lgiagl i Eea=;iiEE#s€cB ;EEEgFE B! ffi ;g{ ;t o) g;iiigiiieitlg9iiggiF =i t fri ;Eii...
Words: 1962 - Pages: 8
...z j i EESisiF$isisxs Ei!:5Ys s !F3i$$FsEi$$iiiiisFEsgsst.i 5 3t giiglligl::.igiI sFg$E $gi aigsiigssii$igli,$i$Iii$s ilililrrrrrllllll LLf o o, s a N q c\ \ aJ) l!$iiiii |gi fl ilg EiilEiiEiiE"iii'*'ne ;ireE€sE: E iEE; E-slz=ci €f ;l:;t * i *eg; i ia i ss ieTu E E€6 E.E 5:! iiE€:aE;;*:rlti ia;; lI:= E;n I € iia ieaiEEiiiBi;gil gEgi=iE; '=' :il: lii ggg: EatiE; ;EfEiq fI€Eg€;€EF :[EE E€II * E FEtg€*g€;EEgEFEi 3E€5*E;€E'gg eERSt$!sr ,i;_:-FttE:.s ; B'::'E ,i F.! t i+SE:ESF$ F :'E u s'i .8.: \ 'EFEEi$!i€ '*i'EcE $E ga i Jgi si Eiqines .sl.Et=E.r.st v,iEVi*tIHE:: 1*itE= ?:?e I Fe; HE[;;E; Es.? EE iH Ia??E s se:aqa eaEEEiE F*e Ef; ai 'i,i e $,r^l€ s.s,-: xE'-H "d! g &E-E F5 ;e ai€eg E E ee?, i?;* u€ i€ 3s 5a 3 ii* E,:sg B i€siSaElXs iE F3t E: E€E dn**_p_.rs€'Di s'geiEtI.'r'E"u i.q,!-:'t E AEeE+ d $,1'-; ; ; H r il;e sEgE 3: a!Ea?g [c Et, a ss s'i g ; *[ :[!;.iq ss'e i?* *"8 E a e i',aE rEi!!+tE iE S 5 PS+.E :a \s'u"=E.S$ F I i..liq3 *.?.EI.gE:fr.== iX sa",,=_eE s.E"s A.= ar 4 ,:tE.s'ir:$'g.R Ae;EEI ge; B E€g ;B' i! EE F *E; E iiii bi itE :t'iiis's'-'-'n r c.s: ! i eq E gigil;a E E i;E! gEA?E E; s,in E€;E;re E:Br;E:r : I$i €sl i;fl; aE$;F*i.€E# f;;iFjig;E: ggjEggisgiig;;gggtf gr;;iii;Fgg gE5$I giiaf F;: E ;i#ij'iEEEi.€f3 F;Eg5figgEI [s$ EEFFfiigi flij Ff lfEfi*$Ef;f5sssf; ii: g uf Eg iaFsigg g g ii ssf ggJE iifsEg iEi :egllinEllelg*El ...
Words: 2003 - Pages: 9
...arXiv:math.DG/0207039 v1 3 Jul 2002 Exterior Differential Systems and Euler-Lagrange Partial Differential Equations Robert Bryant Phillip Griffiths July 3, 2002 Daniel Grossman ii Contents Preface Introduction 1 Lagrangians and Poincar´-Cartan Forms e 1.1 Lagrangians and Contact Geometry . . . . . . . . . 1.2 The Euler-Lagrange System . . . . . . . . . . . . . . 1.2.1 Variation of a Legendre Submanifold . . . . . 1.2.2 Calculation of the Euler-Lagrange System . . 1.2.3 The Inverse Problem . . . . . . . . . . . . . . 1.3 Noether’s Theorem . . . . . . . . . . . . . . . . . . . 1.4 Hypersurfaces in Euclidean Space . . . . . . . . . . . 1.4.1 The Contact Manifold over En+1 . . . . . . . 1.4.2 Euclidean-invariant Euler-Lagrange Systems . 1.4.3 Conservation Laws for Minimal Hypersurfaces 2 The 2.1 2.2 2.3 2.4 2.5 Geometry of Poincar´-Cartan Forms e The Equivalence Problem for n = 2 . . . . . . . Neo-Classical Poincar´-Cartan Forms . . . . . . e Digression on Affine Geometry of Hypersurfaces The Equivalence Problem for n ≥ 3 . . . . . . . The Prescribed Mean Curvature System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v vii 1 1 7 7 8 10 14 21 21 24 27 37...
Words: 82432 - Pages: 330
...PENENTUAN KONSENTRASI BATING AGENT DAN WAKTU BATING DALAM PROSES BATING KULIT IKAN TUNA DETERMINATION OF BATING AGENT CONCENTRATION AND BATING TIME IN THE BATING PROCESS OF TUNA FISH SKIN Ono Suparno*), Hafizah Khaerina Departemen Teknologi Industri Pertanian, Fakultas Teknologi Pertanian, Institut Pertanian Bogor Kampus IPB Darmaga, Kode POS 122, Bogor 16002 E-mail: ono.suparno@gmail.com ABSTRACT Bating is one of the most important processes in beamhouse operation and has effects on leathers quality. Bating agent generally use pancreas enzyme containing protease and lipase. Concentration of bating agent and duration (time) of bating are factors which were predicted have effect on quality of bated pelts. The objectives of this research were to determine the effects of bating agent concentration and bating time on the the quality of bated pelts and to choose the best combination of both factors. The concentrations were used for this study were 0.5%, 1%, and 1.5%, and the bating times were 0.5, 1.5, and 2.5 hours. Responses measured were thickness reduction, dissolved protein, fat content, and organoleptic properties of the pelts. Based on this research, concentration of bating agent significantly affected the thickness, dissolved protein, and fat content. Time of bating significantly affected dissolved protein, and fat content. But interaction between two factors did not significantly affect all observed respons. The best treatment in the research was bating agent concentration...
Words: 6581 - Pages: 27
...: M t\ F6) a U E;: .EE E€S ^9H ,VdA ets , HUH fr*'.E BE.e d.bf; Eg il E otr S.='Gi ESE E E F, EqP d 'F!H B E Ps - -q iJ :=8. Qo 9E T 65a> -i H -r. 'r4 b .E€ €a H at "o a'5 € E ;:*. E€ E-:fr F I .Se.E -EEc-r I:€ Hhf gEE-, EEt =Elf>O P a'cr. LUL q"q g a o 6E SE! EE I E,H E I ;*E t-e *€ eE doEo E at .E+{s H ocq C(t >- P.U# o:i'F Egg Er-s E;E Ha E-o C EEEE E$E 8 5 ;EE E g Ee H # .) ;Eg ;E3A E== r-s E= E t4l :r E'eE € *; E€ 6E EBe'rE si br= o,,X@ E H i\ rt -VrAVa gE s . H .o O\H -.-> E8E s s s!rtr o (o N E €.E : EE ;5 >a s_s Hf; 8H * s C.l S" E* E, sE ii E E s! iiE * ;: p.E EH O) 648 ,.tr :h OE -OG l= cL EE E,,O s s s s ro o tr) lr) N 6l N =o .la aE s (o 4 JO b: F- EE s s o) !i R-o .a .s u 'X ird I'- o O XE 9c EE "E :a E EE i9" Ef, iEEF{EEEEEgE o :F fi' o s s s (o C! lo F o= s s s s 8!0 ro 1r) ro lr, F U = .cl G .o o L s s s s o o o o N $l d) ?gttSESgigggqEE E EE gt€ fE flEE o- o .o ah G o (, E o t o o c (, o @ U' o (l, o E-;..i(d+'/i\o 6 o -ffi - €- t .G -:€ ttg*EEEiIggEBg (U o a. .-j< tl- G o |t. o O - th {:, Ut o z o C{ o G o L o $iggEiIE$gigEi ta o a = qj5 d HE ;.li* bo(dtrt d=5() S .! H H N. \ t\ q) .N q !J o a\ o\ q) a U I! . dFi 0'6 {:i - Sc' B .H .E Sf E H Cg *-E !^. L.; R q .9.!? 3 E €F €E ts' E ug xE (f>rH .=.='oo e E E F. E P .S .9c €tr T "E s e EE ;E 8f Ee fi 8 n; EE (sa OdEl E € E.i s E €e ca5 .S o...
Words: 6091 - Pages: 25
