Neatest and Promptest Manner. E d i t u r ami rul)lihher. FOIt THE CIIILDIIES'. Trifles.
|
|
- Gavin Garrison
- 3 years ago
- Views:
Transcription
1 » ~ $ ) 7 x X ) / ( 8 2 X 39 ««x» ««! «! / x? \» «({? «» q «(? (?? x! «? 8? ( z x x q? ) «q q q ) x z x 69 7( X X ( 3»«! ( ~«x ««x ) (» «8 4 X «4 «4 «8 X «x «(» X) ()»» «X «97 X X X 4 ( 86) x) ( ) z z q z x? x x x } x z x ( ) q ( ) ( ) ) 4 ( 4 q z x z () q (! «q x xx! «) q?? x x» X x x q x q ( x«! XX X x» ( x /! )! z! x»» x )» q xx q z!! ) x z!? ) q \ 4! 622? x q q q x « x!! x? 2887 X 3 )! x x q x!! x 872 x!! x? x ( x? 7 x q x q 4 q? [ (! # 8»! x //!! q!? z z z! x! x q! x! x x! «q z 888 ( z x x x { $22 848
2 44 88» x x 2 z q ( x»» x )!»» q» ) 89! 8 ( X ( 97»)» «X ( 8 8 X 8! ) 8 q 8 }?/ ( 7 7 z zz 8 3 ( ) 22 7 ( () () $2 ( 2 88 $ z 8» 8 [ ] $2 28 9» ) q x 7 $ 4 x 3 x x (! x 8 x 6 ( X 7 z 2 x 7 x 4 4 «} x? q 8 q % 3» !? (z ) z? {\ x x q q q x ~ x «z x x q? z x «x 3 x x x «79 zz Z Z [ x q x ( 3 8» ~ $! 3 7 $ ( \ ) 6 /?!! 3 /«! 3 Z x! 6 $247 q ]» «(» ) 4! / 6 ) x (» «= () q q 4 ( () 8? ) x 8 () 3 4 «x 3» ) z! q \ q 878! z q ««#!# \ 9! X!! \! X Z X x X / ( q «««7 $ x x $2 x x» x! 6 x x 4 x z q / [ ( ( zz x $ «x x «««3 x X 7»! x«3 3 x x x x x x x x x z x x? z 7 X 8 3 x x? q 7 q x? q x x ) q x x ( x { x \ 4 4 ]» q x (! X ««ZX 4 \» zz 8 x! «!! 88 x X 7 88 X 6 X 24! X X X X Xz x \ X x ( )? ) ( () () () x ( 8 (») () x 89 2 x x 8 ) x 7 (» 4! «q 8 8 «(» «x q x x x (
3 » ) x ( ( ««(» ()» ««( «( «/ ( ««6 «( x x ( / 63 ( x 6 ( ( % 8 ( 8 8 ( x»» ( x»( ( ( ) ( (32 x x! ( ) (2 x (67 8 ( ( «)! x» 6669 ] ] q x 2 ( x ( ( )»{ } ««! x! x «( # ( ( ( 6 3 ( 9 ( 6 (/ 63 q x ( 2 x x ( ) x ( 3 \ ( ) 8 x 2 z ( x q x ( ( 2 42 ( )«x? «( ! x ««[ x «x 6 (6 2 6 «6» 4 2(( x «24 x x «) (4(44 63 (44 3 3»(3 9(4?2 «2 q «8 7 ) ( 3 3 x (8 x( 4 x» ( 6 2 ( » x x 2 2( ( 6 ( 7 ( x 4 «8 ) ( 4 6 ] «4 4 4 x (9 ( x» ( «(8 (6 8 x ( 9 9 ( 4 4 x ( ( 8 6) z ( 26 ( ( 2 (4 4 3 ( 3 ( «) x X / x «7 )7 « ( ( (4 37((4 / «) ( (799 ) )(» 7 x «4 ( x ) ( 6» ) («x 6 2 ] ( 4 ( ( ) ( ( x x q ( ) ( ( q (4 (24 (6 88 ( ) x ( { ( 82 7 x ( 8 ) ( «z / /? q ( q q q q 8 q x z x x ( X» 7 2 7»»« «!\ x ( ( ««! 8 «) ««( x ( «( ({ )» 3 ( }!! 86 ( 42 x 38 x // / «q «) ) 727 / \ / \ X» / q ««x x 3 6 X ZZ ( ( $ / / ~ x x 3 x «/ x x x» x \ ~ ] q % /»» 7 7 (! x ( ( ( Z 8 8 8» X 8 ««) » 4! «X ««q 4 / x») _? «««_! ( 4 4 4»«4 4 «! 7 4 8)! 4 x 44 4 ( % 4 / / 7 ] ~ q? )» 9 (» ( 4»» X 6 7 x ] «_ \ x~ 7»» »»» ] x x «7 4» X / «««4«4 # 4» 4» «4» 4 # «! 4 4%» 4 / 4 4« 4 4! 4 4 ( ««4 «\ (X z z z» 3 «34 8 X» Z « x ] q ( (» / / / / \ «! «««x x 4 )»! «««/ \ ) / (\» «$ «( «# ( 6 «?»«)! (» q? \ # ««) x »# ( X )!» ««! x! [ «( ( ( ( ( x (» 4 ( 3 2 / _» )»
4 9 7 «x X z ««X! X » X! ( x! _ ( «(!! x? ««x z?!? X \ z»«) x 4 «X x 87 q?! q 8 z q? x? q z!! ( ) «? x!! z?!? ( z! ( q z z ( ) ) q ( x )! 22 x q? x» q ( q? q q x x»! q x 8«x q 387 x x? 2887 ( 3!! q x x 3 z x x x q x! ( ) x q 372 z x? X z z x?? 7 q ( ) q ( x 7 x q x q «! x z ) ) x q» x 8 (! ) x 2! ( X! q «! («( «( «?? z z [ z _ x!! x! XXX X! x / ( ( 8) q x! \8 x! x x! x?! x 8 8 q 8? z 88 q ( x z q ( x x x x x \ z? $48
5 ( ») «(»» ( 3 8 ) Z «( q )) 4 x «\ 3 q 88 ( ) () ( ( 88 q 3? x! z z q $3??/ 864 ( 288 x x z q q x x! «2 )! x q ( ) 3#7 « ( ) x 6 (» z ( ) ( )! ) () () ( x (6 ( 9 ) ( z 8 z 7 8 $ $2 2 3! $ $2 8!«2 88 z 8 $3 7 $2 7 4 x x $ x 4 )4 x 8 x x x 88 ( 4 2 X «6 $2 q x x x _ «q $ z? 879 zz Z Z (z )? 7 z 8! x q q q x x 8 ««x x x q q z $ x x x X»( X X? x x q 8 8 ) «2 ) x X 7 ( X x«x ««q» «zz [ x x!! x $ x x ~ q $ » zq 89 \ X!! q? «8 «X x» % «( q q () () 88 6 X 24 q $ «8 ]? X 6! x»» 3»! x Z6!!! \! ( 8 6! $! ( 89 2 x ~ \ x { x z «23 ) (» «? 7 7 X 4 «6 x 4 47 X 3 x x / x / q x \ x x q x » 4 8 6» ( 88 x X 6 87 x x 8 8? z x 8 8 x ( x x? 7 q x 8 % x? q #6 $4 ( ) x x $ q $2 # x x x ( ) 66 6 x x x 84 8 x 3 x x 2 4 q
6 » ( (» ( «( ( « (X x x ( ) ( ( ) 932 x x ) ( ) 2( x 7 z q 67 ( ) x 8 ) x 666» q «x 2 ( x x )? q» x q x ( ) 6 ( q «( x x! q ) ( ) x 3 ) ( ) q x q «2 «««x q z x x q «q ) q « x ) x q x «x x x «6 6 ( ( ( «2 x x x6(2 $44 q ( 3 6 4» ) x2 2 X q 226! 4 8» 7 ) X }9 9 6» q x # x X x 7(2 6 z x ( X x «(X) x » 6 8 x ) x x q ««7 7 « ) $27» »7 7 9» 74 7(( ( q 4 ( ) ( «) ( / x 6 x / ( 4 / q q» ) ({ x x q ( ) 6 }6 q ( ( x»4 77 7! ( z z 82 7 x ( 8 ) z x 8 x» 7 ) / \» ( ( )» ( «~! 6 \ ( X! ) « # / ( ( «( ( ( (» q (! ~ _ q )4~ 77 X \ ( ( 6 X ZZ % ( $ / ( () 8 #3 X ( ) 3 ) «x / ( x 3 8 ««x 8 6! ( ( ( x / 7 7 ( ( / ( 76 / 9 x 88 X %! ( «( ( ( 4 «««( «!? X /!! ) / x ( «4#! ««) ( } q / / / / [ «_»» 4 X z \\ %»4» ) (» ( / « ) 4» ««X / ««««4 + 9»»! / 4»4»4 X 6 7 z» Z Z Z X }? 6 ( ~ (?/ » 7 q) ( ( « x )» ( ) ««X» % (» 4 4 ( «(»» ( ( x X 8 ( (» x (!! (» ( ( ( «/ [ $ 2 3 ( 7
MANY BILLS OF CONCERN TO PUBLIC
- 6 8 9-6 8 9 6 9 XXX 4 > -? - 8 9 x 4 z ) - -! x - x - - X - - - - - x 00 - - - - - x z - - - x x - x - - - - - ) x - - - - - - 0 > - 000-90 - - 4 0 x 00 - -? z 8 & x - - 8? > 9 - - - - 64 49 9 x - -
Q SON,' (ESTABLISHED 1879L
( < 5(? Q 5 9 7 00 9 0 < 6 z 97 ( # ) $ x 6 < ( ) ( ( 6( ( ) ( $ z 0 z z 0 ) { ( % 69% ( ) x 7 97 z ) 7 ) ( ) 6 0 0 97 )( 0 x 7 97 5 6 ( ) 0 6 ) 5 ) 0 ) 9%5 z» 0 97 «6 6» 96? 0 96 5 0 ( ) ( ) 0 x 6 0
A. H. Hall, 33, 35 &37, Lendoi
7 X x > - z Z - ----»»x - % x x» [> Q - ) < % - - 7»- -Q 9 Q # 5 - z -> Q x > z»- ~» - x " < z Q q»» > X»? Q ~ - - % % < - < - - 7 - x -X - -- 6 97 9
PanHomc'r I'rui;* :".>r '.a'' W"»' I'fltolt. 'j'l :. r... Jnfii<on. Kslaiaaac. <.T i.. %.. 1 >
5 28 (x / &» )»(»»» Q ( 3 Q» (» ( (3 5» ( q 2 5 q 2 5 5 8) 5 2 2 ) ~ ( / x {» /»»»»» (»»» ( 3 ) / & Q ) X ] Q & X X X x» 8 ( &» 2 & % X ) 8 x & X ( #»»q 3 ( ) & X 3 / Q X»»» %» ( z 22 (»» 2» }» / & 2 X
' Liberty and Umou Ono and Inseparablo "
3 5? #< q 8 2 / / ) 9 ) 2 ) > < _ / ] > ) 2 ) ) 5 > x > [ < > < ) > _ ] ]? <
LOWELL WEEKI.Y JOURINAL
/ $ 8) 2 {!»!» X ( (!!!?! () ~ x 8» x /»!! $?» 8! ) ( ) 8 X x /! / x 9 ( 2 2! z»!!»! ) / x»! ( (»»!» [ ~!! 8 X / Q X x» ( (!»! Q ) X x X!! (? ( ()» 9 X»/ Q ( (X )!» / )! X» x / 6!»! }? ( q ( ) / X! 8 x»
d A L. T O S O U LOWELL, MICHIGAN. THURSDAY, DECEMBER 5, 1929 Cadillac, Nov. 20. Indignation
) - 5 929 XXX - $ 83 25 5 25 $ ( 2 2 z 52 $9285)9 7 - - 2 72 - - 2 3 zz - 9 86 - - - - 88 - q 2 882 q 88 - - - - - - ( 89 < - Q - 857-888 - - - & - - q - { q 7 - - - - q - - - - - - q - - - - 929 93 q
LOWELL WEEKLY JOURNAL
Y -» $ 5 Y 7 Y Y -Y- Q x Q» 75»»/ q } # ]»\ - - $ { Q» / X x»»- 3 q $ 9 ) Y q - 5 5 3 3 3 7 Q q - - Q _»»/Q Y - 9 - - - )- [ X 7» -» - )»? / /? Q Y»» # X Q» - -?» Q ) Q \ Q - - - 3? 7» -? #»»» 7 - / Q
LOWELL WEEKLY JOURNAL
G $ G 2 G ««2 ««q ) q «\ { q «««/ 6 «««««q «] «q 6 ««Z q «««Q \ Q «q «X ««G X G ««? G Q / Q Q X ««/«X X «««Q X\ «q «X \ / X G XX «««X «x «X «x X G X 29 2 ««Q G G «) 22 G XXX GG G G G G G X «x G Q «) «G
LOWELL WEEKLY JOURNAL.
Y $ Y Y 7 27 Y 2» x 7»» 2» q» ~ [ } q q $ $ 6 2 2 2 2 2 2 7 q > Y» Y >» / Y» ) Y» < Y»» _»» < Y > Y Y < )»» >» > ) >» >> >Y x x )»» > Y Y >>»» }> ) Y < >» /» Y x» > / x /»»»»» >» >» >»» > > >» < Y /~ >
P A L A C E P IE R, S T. L E O N A R D S. R a n n o w, q u a r r y. W WALTER CR O TC H, Esq., Local Chairman. E. CO O PER EVANS, Esq.,.
? ( # [ ( 8? [ > 3 Q [ ««> » 9 Q { «33 Q> 8 \ \ 3 3 3> Q»«9 Q ««« 3 8 3 8 X \ [ 3 ( ( Z ( Z 3( 9 9 > < < > >? 8 98 ««3 ( 98 < # # Q 3 98? 98 > > 3 8 9 9 ««««> 3 «>
II&Ij <Md Tmlaiiiiiit, aad once in Ihe y a w Teataa m i, the vmb thatalmta oot Uiaapirit world. into as abode or wotld by them- CooTBOtioa
382 4 7 q X
Governor Green Triumphs Over Mudslinging
; XXX 6 928 - x 22 5 Q 0 x 2- Q- & & x 30 - x 93000000 95000000 50 000 x 0:30 7 7 2 x q 9 0 0:30 2;00 7:30 9 ( 9 & ( ( - ( - 225000 x ( ( 800 ) - 70000 200000 - x ; 200-0: 3333 0850; 778: 5-38 090; 002;
OWELL WEEKLY JOURNAL
Y \»< - } Y Y Y & #»»» q ] q»»»>) & - - - } ) x ( - { Y» & ( x - (» & )< - Y X - & Q Q» 3 - x Q Y 6 \Y > Y Y X 3 3-9 33 x - - / - -»- --
r/lt.i Ml s." ifcr ' W ATI II. The fnncrnl.icniccs of Mr*. John We mil uppn our tcpiiblicnn rcprc Died.
$ / / - (\ \ - ) # -/ ( - ( [ & - - - - \ - - ( - - - - & - ( ( / - ( \) Q & - - { Q ( - & - ( & q \ ( - ) Q - - # & - - - & - - - $ - 6 - & # - - - & -- - - - & 9 & q - / \ / - - - -)- - ( - - 9 - - -
W i n t e r r e m e m b e r t h e W O O L L E N S. W rite to the M anageress RIDGE LAUNDRY, ST. H E LE N S. A uction Sale.
> 7? 8 «> ««0? [ -! ««! > - ««>« ------------ - 7 7 7 = - Q9 8 7 ) [ } Q ««
.1 "patedl-righl" timti tame.nto our oai.c iii C. W.Fiak&Co. She ftowtt outnal,
J 2 X Y J Y 3 : > Y 6? ) Q Y x J Y Y // 6 : : \ x J 2 J Q J Z 3 Y 7 2 > 3 [6 2 : x z (7 :J 7 > J : 7 (J 2 J < ( q / 3 6 q J $3 2 6:J : 3 q 2 6 3 2 2 J > 2 :2 : J J 2 2 J 7 J 7 J \ : q 2 J J Y q x ( ) 3:
LOWELL. MICHIGAN. WEDNESDAY, FEBRUARY NUMllEE 33, Chicago. >::»«ad 0:30am, " 16.n«l w 00 ptn Jaekten,.'''4snd4:4(>a tii, ijilwopa
4/X6 X 896 & # 98 # 4 $2 q $ 8 8 $ 8 6 8 2 8 8 2 2 4 2 4 X q q!< Q 48 8 8 X 4 # 8 & q 4 ) / X & & & Q!! & & )! 2 ) & / / ;) Q & & 8 )
oenofc : COXT&IBCTOEU. AU skaacst sftwer thsa4 aafcekr will be ehat«s«ai Bi. C. W. JUBSSOS. PERFECT THBOUGH SDFFEBISG. our
x V - --- < x x 35 V? 3?/ -V 3 - ) - - [ Z8 - & Z - - - - - x 0-35 - 3 75 3 33 09 33 5 \ - - 300 0 ( -? 9 { - - - -- - < - V 3 < < - - Z 7 - z 3 - [ } & _ 3 < 3 ( 5 7< ( % --- /? - / 4-4 - & - % 4 V 2
A Memorial. Death Crash Branch Out. Symbol The. at Crossing Flaming Poppy. in Belding
- G Y Y 8 9 XXX G - Y - Q 5 8 G Y G Y - - * Y G G G G 9 - G - - : - G - - ) G G- Y G G q G G : Q G Y G 5) Y : z 6 86 ) ; - ) z; G ) 875 ; ) ; G -- ) ; Y; ) G 8 879 99 G 9 65 q 99 7 G : - G G Y ; - G 8
LOWELL JOURNAL. MUST APOLOGIZE. such communication with the shore as Is m i Boimhle, noewwary and proper for the comfort
- 7 7 Z 8 q ) V x - X > q - < Y Y X V - z - - - - V - V - q \ - q q < -- V - - - x - - V q > x - x q - x q - x - - - 7 -» - - - - 6 q x - > - - x - - - x- - - q q - V - x - - ( Y q Y7 - >»> - x Y - ] [
AanumntBAasciAs. l e t e s auas trasuarbe, amtima*. pay Bna. aaeh t!iacttign. Xat as eling te Trndi'aBd^glit!
- [ - --- --- ~ - 5 4 G 4? G 8 0 0 0 7 0 - Q - - - 6 8 7 2 75 00 - [ 7-6 - - Q - ] z - 9 - G - 0 - - z / - ] G / - - 4-6 7 - z - 6 - - z - - - - - - G z / - - - G 0 Zz 4 z4 5? - - Z z 2 - - {- 9 9? Z G
A DARK GREY P O N T, with a Switch Tail, and a small Star on the Forehead. Any
Y Y Y X X «/ YY Y Y ««Y x ) & \ & & } # Y \#$& / Y Y X» \\ / X X X x & Y Y X «q «z \x» = q Y # % \ & [ & Z \ & { + % ) / / «q zy» / & / / / & x x X / % % ) Y x X Y $ Z % Y Y x x } / % «] «] # z» & Y X»
Educjatipnal. L a d ie s * COBNWALILI.S H IG H SCHOOL. I F O R G IR L S A n B k i n d e r g a r t e n.
- - - 0 x ] - ) ) -? - Q - - z 0 x 8 - #? ) 80 0 0 Q ) - 8-8 - ) x ) - ) -] ) Q x?- x - - / - - x - - - x / /- Q ] 8 Q x / / - 0-0 0 x 8 ] ) / - - /- - / /? x ) x x Q ) 8 x q q q )- 8-0 0? - Q - - x?-
a s*:?:; -A: le London Dyers ^CleanefSt * S^d. per Y ard. -P W ..n 1 0, , c t o b e e d n e sd *B A J IllW6fAi>,EB. E D U ^ T IG r?
? 9 > 25? < ( x x 52 ) < x ( ) ( { 2 2 8 { 28 ] ( 297 «2 ) «2 2 97 () > Q ««5 > «? 2797 x 7 82 2797 Q z Q (
ACCEPTS HUGE FLORAL KEY TO LOWELL. Mrs, Walter Laid to Rest Yesterday
$ j < < < > XXX Y 928 23 Y Y 4% Y 6 -- Q 5 9 2 5 Z 48 25 )»-- [ Y Y Y & 4 j q - Y & Y 7 - -- - j \ -2 -- j j -2 - - - - [ - - / - ) ) - - / j Y 72 - ) 85 88 - / X - j ) \ 7 9 Y Y 2 3» - ««> Y 2 5 35 Y
M E M P H I S, T E N N., S A T U E D A Y, OCTOBER 8, 1870.
5 L V 8 5 x - L : L Q ) L - \ \ Q Q - V 84 z < L L 4 Y z ( (
1871. twadaa t, 30 cta. pat Haa;fe,ttaw Spiritism. From Uis luport of tie vision, and in U e n i e h t i a d i W A C h r f i
V < > X Q x X > >! 5> V3 23 3 - - - : -- { - -- (!! - - - -! :- 4 -- : -- -5--4 X -
. ^e Traveler in taesnok. i the IHilty.-^ifStiiart. BbUaaoa aad WalL.""ras 'crossing a mountain»h ch w e are A«ply inteiwted. Add
x 8[ x [qqq xq F x & R FX G NR F XN R X ( F R Y
Two Posts to Fill On School Board
Y Y 9 86 4 4 qz 86 x : ( ) z 7 854 Y x 4 z z x x 4 87 88 Y 5 x q x 8 Y 8 x x : 6 ; : 5 x ; 4 ( z ; ( ) ) x ; z 94 ; x 3 3 3 5 94 ; ; ; ; 3 x : 5 89 q ; ; x ; x ; ; x : ; ; ; ; ; ; 87 47% : () : / : 83
SPIRITUALISM. forces. of Spirit, A n stiy a e d f r o m a C o m m o n rhey. n o d and H en so S ta n d p o in t. Lea d s i 1 T U A L I.S M.
~ 3 : K G V 7 G GG 2 3 9 3» < V ; j z_! V 9 7 ' ; > : ; _ < - «-] 88 _ K _ [ -] ZZ - - _ [ ) G K < ' - - ( - '! j () - -] < : : < :?! q z ; [ > # : - 2 - - j ; :!_ - ] ' z ; : j G - j j - [ _ j! { q -
E S T A B L IS H E D. n AT Tnn G.D.O. r.w.-bal'eu. e d n e s d a y. II GRANVILLE HOUSE. GATJDICK ROAD. MEADS. EASTBOUENk
K q X k K 5 ) ) 5 / K K x x) )? //? q? k X z K 8 5 5? K K K / / $8 ± K K K 8 K / 8 K K X k k X ) k k /» / K / / / k / ] 5 % k / / k k? Z k K ] 8 K K K )» 5 ) # 8 q»)kk q»» )88{ k k k k / k K X 8 8 8 ]
LOWELL WEEKLY JOURNAL. ^Jberxy and (Jmott Oao M d Ccmsparftble. %m >ai ruv GEEAT INDUSTRIES
? (») /»» 9 F ( ) / ) /»F»»»»»# F??»»» Q ( ( »»» < 3»» /» > > } > Q ( Q > Z F 5
2.1 NUMERICAL SOLUTION OF SIMULTANEOUS FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS. differential equations with the initial values y(x 0. ; l.
Numerical Methods II UNIT.1 NUMERICAL SOLUTION OF SIMULTANEOUS FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.1.1 Runge-Kutta Method of Fourth Order 1. Let = f x,y,z, = gx,y,z be the simultaneous first order
i r-s THE MEMPHIS, TENN., SATURDAY. DEGfMBER
N k Q2 90 k ( < 5 q v k 3X3 0 2 3 Q :: Y? X k 3 : \ N 2 6 3 N > v N z( > > :}9 [ ( k v >63 < vq 9 > k k x k k v 6> v k XN Y k >> k < v Y X X X NN Y 2083 00 N > N Y Y N 0 \ 9>95 z {Q ]k3 Q k x k k z x X
County Council Named for Kent
\ Y Y 8 9 69 6» > 69 ««] 6 : 8 «V z 9 8 x 9 8 8 8?? 9 V q» :: q;; 8 x () «; 8 x ( z x 9 7 ; x >«\ 8 8 ; 7 z x [ q z «z : > ; ; ; ( 76 x ; x z «7 8 z ; 89 9 z > q _ x 9 : ; 6? ; ( 9 [ ) 89 _ ;»» «; x V
LOWHLL #WEEKLY JOURNAL.
# F 7 F --) 2 9 Q - Q - - F - x $ 2 F? F \ F q - x q - - - - )< - -? - F - - Q z 2 Q - x -- - - - 3 - % 3 3 - - ) F x - \ - - - - - q - q - - - - -z- < F 7-7- - Q F 2 F - F \x -? - - - - - z - x z F -
Complex Variables. Chapter 1. Complex Numbers Section 1.2. Basic Algebraic Properties Proofs of Theorems. December 16, 2016
Complex Variables Chapter 1. Complex Numbers Section 1.2. Basic Algebraic Properties Proofs of Theorems December 16, 2016 () Complex Variables December 16, 2016 1 / 12 Table of contents 1 Theorem 1.2.1
LOWELL WEEKLY JOURNAL
: Y J G V $ 5 V V G Y 2 25 Y 2» 5 X # VG q q q 6 6 X J 6 $3 ( 6 2 6 2 6 25 3 2 6 Y q 2 25: JJ JJ < X Q V J J Y J Q V (» Y V X Y? G # V Y J J J G J»Y ) J J / J Y Y X ({ G #? J Y ~» 9? ) < ( J VY Y J G (
T k b p M r will so ordered by Ike one who quits squuv. fe2m per year, or year, jo ad vaoce. Pleaie and THE ALTO SOLO
q q P XXX F Y > F P Y ~ Y P Y P F q > ##- F F - 5 F F?? 5 7? F P P?? - - F - F F - P 7 - F P - F F % P - % % > P F 9 P 86 F F F F F > X7 F?? F P Y? F F F P F F
LOWELL WEEKLY JOURNAL
W WY R G «( 5 R 5 Y q YG R ««W G WY Y 7 W \(\ 5 R ( W R R W ) W «W W W W< W ) W 53 R R Y 4 RR \ \ ( q ) W W X R R RY \ 73 «\ 2 «W R RG ( «q ) )[ 5 7 G ««R q ] 6 ) X 5 5 x / ( 2 3 4 W «(«\Y W Q RY G G )
Pithy P o i n t s Picked I ' p and Patljr Put By Our P e r i p a tetic Pencil Pusher VOLUME X X X X. Lee Hi^h School Here Friday Ni^ht
G G QQ K K Z z U K z q Z 22 x z - z 97 Z x z j K K 33 G - 72 92 33 3% 98 K 924 4 G G K 2 G x G K 2 z K j x x 2 G Z 22 j K K x q j - K 72 G 43-2 2 G G z G - -G G U q - z q - G x) z q 3 26 7 x Zz - G U-
and A L T O S O L O LOWELL, MICHIGAN, THURSDAY, OCTCBER Mrs. Thomas' Young Men Good Bye 66 Long Illness Have Sport in
5 7 8 x z!! Y! [! 2 &>3 x «882 z 89 q!!! 2 Y 66 Y $ Y 99 6 x x 93 x 7 8 9 x 5$ 4 Y q Q 22 5 3 Z 2 5 > 2 52 2 $ 8» Z >!? «z???? q > + 66 + + ) ( x 4 ~ Y Y»» x ( «/ ] x ! «z x( ) x Y 8! < 6 x x 8 \ 4\
Homework 1/Solutions. Graded Exercises
MTH 310-3 Abstract Algebra I and Number Theory S18 Homework 1/Solutions Graded Exercises Exercise 1. Below are parts of the addition table and parts of the multiplication table of a ring. Complete both
1 h 9 e $ s i n t h e o r y, a p p l i c a t i a n
T : 99 9 \ E \ : \ 4 7 8 \ \ \ \ - \ \ T \ \ \ : \ 99 9 T : 99-9 9 E : 4 7 8 / T V 9 \ E \ \ : 4 \ 7 8 / T \ V \ 9 T - w - - V w w - T w w \ T \ \ \ w \ w \ - \ w \ \ w \ \ \ T \ w \ w \ w \ w \ \ w \
MATH 19520/51 Class 5
MATH 19520/51 Class 5 Minh-Tam Trinh University of Chicago 2017-10-04 1 Definition of partial derivatives. 2 Geometry of partial derivatives. 3 Higher derivatives. 4 Definition of a partial differential
2x (x 2 + y 2 + 1) 2 2y. (x 2 + y 2 + 1) 4. 4xy. (1, 1)(x 1) + (1, 1)(y + 1) (1, 1)(x 1)(y + 1) 81 x y y + 7.
Homework 8 Solutions, November 007. (1 We calculate some derivatives: f x = f y = x (x + y + 1 y (x + y + 1 x = (x + y + 1 4x (x + y + 1 4 y = (x + y + 1 4y (x + y + 1 4 x y = 4xy (x + y + 1 4 Substituting
MISG 2011, Problem 1: Coal Mine pillar extraction
MISG 2011, Problem 1: Coal Mine pillar extraction Group 1 and 2 January 14, 2011 Group 1 () Coal Mine pillar extraction January 14, 2011 1 / 30 Group members C. Please, D.P. Mason, M. Khalique, J. Medard.
Unit IV State of stress in Three Dimensions
Unit IV State of stress in Three Dimensions State of stress in Three Dimensions References Punmia B.C.,"Theory of Structures" (SMTS) Vol II, Laxmi Publishing Pvt Ltd, New Delhi 2004. Rattan.S.S., "Strength
100 CHAPTER 4. SYSTEMS AND ADAPTIVE STEP SIZE METHODS APPENDIX
100 CHAPTER 4. SYSTEMS AND ADAPTIVE STEP SIZE METHODS APPENDIX.1 Norms If we have an approximate solution at a given point and we want to calculate the absolute error, then we simply take the magnitude
IOAN ŞERDEAN, DANIEL SITARU
Romanian Mathematical Magazine Web: http://www.ssmrmh.ro The Author: This article is published with open access. TRIGONOMETRIC SUBSTITUTIONS IN PROBLEM SOLVING PART IOAN ŞERDEAN, DANIEL SITARU Abstract.
V o l u m e 5, N u m b e r 5 2, 1 6 P a g e s. Gold B e U ClUt Stamps Double Stamp D a y E v e r y Wednesday
1 6 5 J 9 6 " " z k ; k x k k k z z k j " " ( k " " k 8 1959 " " x k j 5 25 ; ; k k qz ; x 13 x k * k ( ) k k : qz 13 k k k j ; q k x ; x 615 26 ( : k z 113 99751 z k k q ; 15 k k k j q " " k j x x ( *»
LOWELL WEEKLY JOURNAL.
Y 5 ; ) : Y 3 7 22 2 F $ 7 2 F Q 3 q q 6 2 3 6 2 5 25 2 2 3 $2 25: 75 5 $6 Y q 7 Y Y # \ x Y : { Y Y Y : ( \ _ Y ( ( Y F [ F F ; x Y : ( : G ( ; ( ~ x F G Y ; \ Q ) ( F \ Q / F F \ Y () ( \ G Y ( ) \F
Wayfarer Traveler. The. Laura. Most of us enjoy. Family and multi-generational travel. The Luxury of Togetherness. Happy Traveling, Owner s
6, z j Kw x w 8- x - w w w; x w w z, K, x -, w w w, w! x w j w w x z w w J w w w, w w w x w w w w 6, w q, w x, w x x, w Q, w 3-, w,, -w 6 ;, w x w w-- w j -, -, x, - -,, -,, w,, w w w, w w w, - w, w,,
Exercise 1: Inertia moment of a simple pendulum
Exercise : Inertia moment of a simple pendulum A simple pendulum is represented in Figure. Three reference frames are introduced: R is the fixed/inertial RF, with origin in the rotation center and i along
AE/ME 339. K. M. Isaac Professor of Aerospace Engineering. 12/21/01 topic7_ns_equations 1
AE/ME 339 Professor of Aerospace Engineering 12/21/01 topic7_ns_equations 1 Continuity equation Governing equation summary Non-conservation form D Dt. V 0.(2.29) Conservation form ( V ) 0...(2.33) t 12/21/01
Sect Least Common Denominator
4 Sect.3 - Least Common Denominator Concept #1 Writing Equivalent Rational Expressions Two fractions are equivalent if they are equal. In other words, they are equivalent if they both reduce to the same
b) since the remainder is 0 I need to factor the numerator. Synthetic division tells me this is true
Section 5.2 solutions #1-10: a) Perform the division using synthetic division. b) if the remainder is 0 use the result to completely factor the dividend (this is the numerator or the polynomial to the
ECE380 Digital Logic. Axioms of Boolean algebra
ECE380 Digital Logic Introduction to Logic Circuits: Boolean algebra Dr. D. J. Jackson Lecture 3-1 Axioms of Boolean algebra Boolean algebra: based on a set of rules derived from a small number of basic
Stress transformation and Mohr s circle for stresses
Stress transformation and Mohr s circle for stresses 1.1 General State of stress Consider a certain body, subjected to external force. The force F is acting on the surface over an area da of the surface.
13, Applications of molecular symmetry and group theory
Subject Paper No and Title Module No and Title Module Tag Chemistry 13, Applications of molecular symmetry and group theory 27, Group theory and vibrational spectroscopy: Part-IV(Selection rules for IR
Crew of25 Men Start Monday On Showboat. Many Permanent Improvements To Be Made;Project Under WPA
U G G G U 2 93 YX Y q 25 3 < : z? 0 (? 8 0 G 936 x z x z? \ 9 7500 00? 5 q 938 27? 60 & 69? 937 q? G x? 937 69 58 } x? 88 G # x 8 > x G 0 G 0 x 8 x 0 U 93 6 ( 2 x : X 7 8 G G G q x U> x 0 > x < x G U 5
13. LECTURE 13. Objectives
13. LECTURE 13 Objectives I can use Clairaut s Theorem to make my calculations easier. I can take higher derivatives. I can check if a function is a solution to a partial differential equation. Higher
A L T O SOLO LOWCLL. MICHIGAN, THURSDAY. DECEMBER 10,1931. ritt. Mich., to T h e Heights. Bos" l u T H I S COMMl'NiTY IN Wilcox
G 093 < 87 G 9 G 4 4 / - G G 3 -!! - # -G G G : 49 q» - 43 8 40 - q - z 4 >» «9 0-9 - - q 00! - - q q!! ) 5 / : \ 0 5 - Z : 9 [ -?! : ) 5 - - > - 8 70 / q - - - X!! - [ 48 - -!
MECH 5312 Solid Mechanics II. Dr. Calvin M. Stewart Department of Mechanical Engineering The University of Texas at El Paso
MECH 5312 Solid Mechanics II Dr. Calvin M. Stewart Department of Mechanical Engineering The University of Texas at El Paso Table of Contents Preliminary Math Concept of Stress Stress Components Equilibrium
Demonstration of the Coupled Evolution Rules 163 APPENDIX F: DEMONSTRATION OF THE COUPLED EVOLUTION RULES
Demonstration of the Coupled Evolution Rules 163 APPENDIX F: DEMONSTRATION OF THE COUPLED EVOLUTION RULES Before going into the demonstration we need to point out two limitations: a. It assumes I=1/2 for
GG303 Lecture 6 8/27/09 1 SCALARS, VECTORS, AND TENSORS
GG303 Lecture 6 8/27/09 1 SCALARS, VECTORS, AND TENSORS I Main Topics A Why deal with tensors? B Order of scalars, vectors, and tensors C Linear transformation of scalars and vectors (and tensors) II Why
A.dr.rwarded to foreiirti count rie will be f 7 SOperann.. rsri--.-j- -.?- .JULY. 12, lsiii).,11,111. yc:tl crst.iif. lit. J. lor Sale... Kb l.
E E b g b E x Y b p p g b 2 x $ p 2 p p 6 p x b b p x p pp 5 b x b p Y Yg g pg 2 Dp g pb? xp p g G 2 p p x D D p 59 E 9pp b b x xp D p p? 8 5 2 pp E x z b x? p p Z 2 p p x p 9 p x p p EE E EY E G E p EQ
Basic Equations of Elasticity
A Basic Equations of Elasticity A.1 STRESS The state of stress at any point in a loaded bo is defined completely in terms of the nine components of stress: σ xx,σ yy,σ zz,σ xy,σ yx,σ yz,σ zy,σ zx,andσ
14 EE 2402 Engineering Mathematics III Solutions to Tutorial 3 1. For n =0; 1; 2; 3; 4; 5 verify that P n (x) is a solution of Legendre's equation wit
EE 0 Engineering Mathematics III Solutions to Tutorial. For n =0; ; ; ; ; verify that P n (x) is a solution of Legendre's equation with ff = n. Solution: Recall the Legendre's equation from your text or
12. Stresses and Strains
12. Stresses and Strains Finite Element Method Differential Equation Weak Formulation Approximating Functions Weighted Residuals FEM - Formulation Classification of Problems Scalar Vector 1-D T(x) u(x)
Chapter 7: Exponents
Chapter 7: Exponents Algebra 1 Chapter 7 Notes Name: Algebra Homework: Chapter 7 (Homework is listed by date assigned; homework is due the following class period) HW# Date In-Class Homework Section 7.:
In Class Problem Set #15
In Class Problem Set #15 CSE 1400 and MTH 2051 Fall 2012 Relations Definitions A relation is a set of ordered pairs (x, y) where x is related to y. Let denote a relational symbol. Write x y to express
Digital Circuit And Logic Design I. Lecture 3
Digital Circuit And Logic Design I Lecture 3 Outline Combinational Logic Design Principles (). Introduction 2. Switching algebra 3. Combinational-circuit analysis 4. Combinational-circuit synthesis Panupong
Ayuntamiento de Madrid
9 v vx-xvv \ ü - v q v ó - ) q ó v Ó ü " v" > - v x -- ü ) Ü v " ñ v é - - v j? j 7 Á v ü - - v - ü
AE/ME 339. Computational Fluid Dynamics (CFD) K. M. Isaac. Momentum equation. Computational Fluid Dynamics (AE/ME 339) MAEEM Dept.
AE/ME 339 Computational Fluid Dynamics (CFD) 9//005 Topic7_NS_ F0 1 Momentum equation 9//005 Topic7_NS_ F0 1 Consider the moving fluid element model shown in Figure.b Basis is Newton s nd Law which says
Lecture 4: Least Squares (LS) Estimation
ME 233, UC Berkeley, Spring 2014 Xu Chen Lecture 4: Least Squares (LS) Estimation Background and general solution Solution in the Gaussian case Properties Example Big picture general least squares estimation:
CSE 167: Introduction to Computer Graphics Lecture #2: Linear Algebra Primer
CSE 167: Introduction to Computer Graphics Lecture #2: Linear Algebra Primer Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2016 Announcements Monday October 3: Discussion Assignment
DIPOLES III. q const. The voltage produced by such a charge distribution is given by. r r'
DIPOLES III We now consider a particularly important charge configuration a dipole. This consists of two equal but opposite charges separated by a small distance. We define the dipole moment as p lim q
Chapter 6. Polynomials
Chapter 6 Polynomials How to Play the Stock Market 6.1 Monomials: Multiplication and Division 6.2 Polynomials 6.3 Addition and Subtraction of Polynomials 6.4 Multiplication of Polynomials Chapter Review
CHAPTER 2 BOOLEAN ALGEBRA
CHAPTER 2 BOOLEAN ALGEBRA This chapter in the book includes: Objectives Study Guide 2.1 Introduction 2.2 Basic Operations 2.3 Boolean Expressions and Truth Tables 2.4 Basic Theorems 2.5 Commutative, Associative,
LOWELL WEEKLY JOURNAL.
> LLL KLY L L x L L L L G K Y F 7 2 K LKL Y K «F «««««q 5 $ ) / «2 K) ««) 74 «G > x «LY K «! «KL K K K K K! ««x > x K! K ) 2 K «X! «K LK >> < >«««) «< >>«K«KLK < «4! «««#> ««!
Applications of Eigenvalues & Eigenvectors
Applications of Eigenvalues & Eigenvectors Louie L. Yaw Walla Walla University Engineering Department For Linear Algebra Class November 17, 214 Outline 1 The eigenvalue/eigenvector problem 2 Principal
SNAP Centre Workshop. Exponents and Radicals
SNAP Centre Workshop Exponents and Radicals 25 Introduction Exponents are used as a way of representing repeated multiplication. For instance, when we see 4 3, we know that it is equivalent to (4)(4)(4),
PARTIAL DERIVATIVES AND THE MULTIVARIABLE CHAIN RULE
PARTIAL DERIVATIVES AND THE MULTIVARIABLE CHAIN RULE ADRIAN PĂCURAR LAST TIME We saw that for a function z = f(x, y) of two variables, we can take the partial derivatives with respect to x or y. For the
Question: 1. Use suitable identities to find the following products:
CH-2 Polynomial Question: 1. Use suitable identities to find the following products: (i) (x + 4) (x + 10) Solution:- (x+4)(x+10) = x 2 +10x+4x+4 x 10 = x 2 +14x+40 (ii) (x + 8) (x 10) Solution: x 2-10x+8x-80
Course 2BA1: Hilary Term 2007 Section 8: Quaternions and Rotations
Course BA1: Hilary Term 007 Section 8: Quaternions and Rotations David R. Wilkins Copyright c David R. Wilkins 005 Contents 8 Quaternions and Rotations 1 8.1 Quaternions............................ 1 8.
E&CE 223 Digital Circuits & Systems. Lecture Transparencies (Boolean Algebra & Logic Gates) M. Sachdev
E&CE 223 Digital Circuits & Systems Lecture Transparencies (Boolean Algebra & Logic Gates) M. Sachdev 4 of 92 Section 2: Boolean Algebra & Logic Gates Major topics Boolean algebra NAND & NOR gates Boolean
Additional Practice Lessons 2.02 and 2.03
Additional Practice Lessons 2.02 and 2.03 1. There are two numbers n that satisfy the following equations. Find both numbers. a. n(n 1) 306 b. n(n 1) 462 c. (n 1)(n) 182 2. The following function is defined
Section 3.5 The Implicit Function Theorem
Section 3.5 The Implicit Function Theorem THEOREM 11 (Special Implicit Function Theorem): Suppose that F : R n+1 R has continuous partial derivatives. Denoting points in R n+1 by (x, z), where x R n and
Problem Set 2 Due Tuesday, September 27, ; p : 0. (b) Construct a representation using five d orbitals that sit on the origin as a basis: 1
Problem Set 2 Due Tuesday, September 27, 211 Problems from Carter: Chapter 2: 2a-d,g,h,j 2.6, 2.9; Chapter 3: 1a-d,f,g 3.3, 3.6, 3.7 Additional problems: (1) Consider the D 4 point group and use a coordinate
TUTORIAL 8: PHONONS, LATTICE EXPANSION, AND BAND-GAP RENORMALIZATION
TUTORIAL 8: PHONONS, LATTICE EXPANSION, AND BAND-GAP RENORMALIZATION 1 INVESTIGATED SYSTEM: Silicon, diamond structure Electronic and 0K properties see W. Huhn, Tutorial 2, Wednesday August 2 2 THE HARMONIC
CSE 167: Introduction to Computer Graphics Lecture #2: Linear Algebra Primer
CSE 167: Introduction to Computer Graphics Lecture #2: Linear Algebra Primer Jürgen P. Schulze, Ph.D. University of California, San Diego Spring Quarter 2016 Announcements Project 1 due next Friday at
Unit 13 Review of Simple Beam Theory
MIT - 16.0 Fall, 00 Unit 13 Review of Simple Beam Theory Readings: Review Unified Engineering notes on Beam Theory BMP 3.8, 3.9, 3.10 T & G 10-15 Paul A. Lagace, Ph.D. Professor of Aeronautics & Astronautics
Adver-isemen- suliber, 8 nries) PLAIN AND FANCT. forrip Sailora. starts, gtorlling5,'tv.to 'gtl. Waikiihalulu Water Lots! LARGE AND COMMODI- -,
E E ERER RER p p p p x p $ p 0 p xp p p p p p p E p q 0 $ p 8 p $ 0 $ E EEER Y R ER 8 E 8 8 p EERE p p p REEREE q 8 Y p p p REEREE x E p Eq R p RE ER ER p x q EE p E E GR G p p 0 0 0 0 p x x p x p q EER
LOWELL WEEKLY JOURN A I.
Y UR G U U V Y U Uq V U U -R $ q - U U Y 9 U - G Y G $ \ U G Q x X U R G - < UU V V - V - - - X - V - { - - - U X -- V URU - 48 UV- \- R & - R - U 8 ])? U - x V - ) U R x - [ - U XU R UR UUY U V \ RX -