MANY BILLS OF CONCERN TO PUBLIC

Size: px
Start display at page:

Download "MANY BILLS OF CONCERN TO PUBLIC"

Transcription

1 XXX 4 > -? x 4 z ) - -! x - x - - X x x z x x - x ) x > x ? z 8 & x - - 8? > x - - x 0 $ ) 0 z - x - ) - x $000 84!)0 x- $ $80000 $ $ x X X ) x 9 x x - x x x x x x $ x x x x x x ) 0x4 x x - x ) & x! - z 00! ) - - x? z z- - z xz - 00 z 00 x - $00 - $ Z -4-4) x ) $00-0 x z 4-49! x >! x z >

2 ) ) { $00 x $ Q > x x 9- )- 9-) 99 ) x! zz \ \ x - x ) x x x $000 x x 000 x $00 z $00 x x - x - / z!! \ z x - - > - - z - 0 > x Q Q z x - Q x $ $00000 x / - > x - x - $00000 x z $ z z x 0 )! Q z ) ) x x - x -- Q z x? Q z z 040 x -?! z Q Q ) # \/ # \ 90 > & - - x x x / ) -?? 49 z x 96 & ) z $ & x! x 0! \ > ) - ) x 9 ) X x ) } ) <! - -!? - ) ! 0// $00-00! Z z \? % - % % 0 / ]! x x Z - 0 / ) - - $ x z 0 Z / 4? ] 0-6 zz - - z 6 - ] -!) - -! > ] 90 Q 0 0 -! [ < x 0 0!! 0 z 00 0 x 8! - 0 X ? - - \]> z - > #!! > \ \ -? > - x X x? x - x 0 6- & x x! x x x- 0 x - 0 / x?? - )? 4? x ) x 46 x x -! 8 9? 08! / ) 8 4 > - // - )

3 ) x [ x - - < 9 - > x > &! 6 4! / )!? <\ x! Z 4- > x z -- Z - x x x - x x -- x x < x - ] x x < & 0 ) 600 -! - < 0 - x - x 9 x 0 x < x 0 < 90! X $ x 4 Q $9 z z $98 $9 9 $0 $ ? 4 x -! 9 - $ 40 > ) 4 ) 0 0?!! Z - 99 ) ) 4 x x! & 4 ) 00 0 x! % 4- z 4 0 x 4> \ x - - -? x # % > - > >> - X! > < - > 4-8 x 0 ) / - > 46 - ) >? x - - & x / \ x! ) \ Q x - - \ z 46 x ! &! $ Z 6 x - 0 > 8 ) < 8 $$ $ $4 9 $ - x4 -!!!!! & 9 ) / $00 $98! ! 4 $00 & x!?? - - z? x X - < $ /0 0 0? # XX / x \! x - 0 > - - x - z - x - - { Q x x z x / { ) 9 % 6 - % < - x 6-4-4) z 4 - / &

4 X ) 6 9 z #! < < 0 0 ) - - <? / >! - > x \ # # ? > - & - 4 Z? 6 > - ) < -? > > 9?? > - X - - x < ) x < > 0 ) - $ > x- - - \ - < - x x - \\ \ < - -! \ x -!!! - - X x x > - % - - /! - x \ \\ > 4 4 / - x \? \ >?![ - < -!?? x Z Z Z X Z? < > > >! x 0 > - 9 > - < 0! x X } >) ) x ) )- - x \ ) % - <4) X ) > > -! X > x 00? \ > - \ - /? \ < -XXX 4 <! # ) \ -! Q Q -XX < - / )?? - > 0 4 >? } 6 - x > > > - } > x - Q X ) x z - - ] - > x 0-00> - ) x - x - x - \= -/? X - - [! # z - x -!! / - x ] x - > - x - - x Q X -? 4 % z - > \ 0 Q 0 <! z - - < ] ] - 0 % 06 x / $! x - x % < - ) - - -! - - >> > - > > % 0 0! < - $ $0 $ \ 8 $9 > X z - - x ! z x z z - - > - zz x z - % - < / - 6 / - # - < - z 600 \ < Z Z - -? z z / Q \ x x > - - > - - < -? - ] 0 % //!? - - >! - - X x z - 6 $00-6 -! Z < - z -! - z - x $ $4 x z- 9 z 4 4 zz 9 &- x - z ) > 0 0 x ! x - - ]! Q /? z x x ) } ! % % / $ 0 X ) \ \ > ??? X x X # > -! ) X 8! 9 [ -?? x z! $ $9 & Z! # x 4 \0% Z 4 Q X

5 ) X) ! \\ & & Q 4 x x 4 z Z Z - z z z z z z - - Z z x z ) z ) 4-9! x x Q x &?00 0-0!! X / ) > // / X ? x > \! -! Z - x! Q z Z z z z z z z 800 x) x 99 ) Q ) & & ~ 9 Q 4 Q ~~~ Q Q > 4 -

Neatest and Promptest Manner. E d i t u r ami rul)lihher. FOIt THE CIIILDIIES'. Trifles.

Neatest and Promptest Manner. E d i t u r ami rul)lihher. FOIt THE CIIILDIIES'. Trifles. » ~ $ ) 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

More information

PanHomc'r I'rui;* :".>r '.a'' W"»' I'fltolt. 'j'l :. r... Jnfii<on. Kslaiaaac. <.T i.. %.. 1 >

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

More information

d A L. T O S O U LOWELL, MICHIGAN. THURSDAY, DECEMBER 5, 1929 Cadillac, Nov. 20. Indignation

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

More information

LOWELL WEEKI.Y JOURINAL

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»

More information

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.,.

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 «>

More information

Governor Green Triumphs Over Mudslinging

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;

More information

OWELL WEEKLY JOURNAL

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 - - / - -»- --

More information

.1 "patedl-righl" timti tame.nto our oai.c iii C. W.Fiak&Co. She ftowtt outnal,

.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:

More information

r/lt.i Ml s." ifcr ' W ATI II. The fnncrnl.icniccs of Mr*. John We mil uppn our tcpiiblicnn rcprc Died.

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 - - -

More information

A. H. Hall, 33, 35 &37, Lendoi

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

More information

LOWELL WEEKLY JOURNAL

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

More information

LOWELL WEEKLY JOURNAL

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

More information

LOWELL. MICHIGAN. WEDNESDAY, FEBRUARY NUMllEE 33, Chicago. >::»«ad 0:30am, " 16.n«l w 00 ptn Jaekten,.'''4snd4:4(>a tii, ijilwopa

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 )

More information

' Liberty and Umou Ono and Inseparablo "

' Liberty and Umou Ono and Inseparablo 3 5? #< q 8 2 / / ) 9 ) 2 ) > < _ / ] > ) 2 ) ) 5 > x > [ < > < ) > _ ] ]? <

More information

A Memorial. Death Crash Branch Out. Symbol The. at Crossing Flaming Poppy. in Belding

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

More information

LOWELL JOURNAL. MUST APOLOGIZE. such communication with the shore as Is m i Boimhle, noewwary and proper for the comfort

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 - ] [

More information

ACCEPTS HUGE FLORAL KEY TO LOWELL. Mrs, Walter Laid to Rest Yesterday

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

More information

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?

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 (

More information

A DARK GREY P O N T, with a Switch Tail, and a small Star on the Forehead. Any

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»

More information

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.

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?-

More information

Q SON,' (ESTABLISHED 1879L

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

More information

LOWELL WEEKLY JOURNAL.

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 /~ >

More information

Two Posts to Fill On School Board

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

More information

LOWELL WEEKLY JOURNAL. ^Jberxy and (Jmott Oao M d Ccmsparftble. %m >ai ruv GEEAT INDUSTRIES

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

More information

County Council Named for Kent

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

More information

M E M P H I S, T E N N., S A T U E D A Y, OCTOBER 8, 1870.

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 ( (

More information

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 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

More information

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

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

More information

LOWHLL #WEEKLY JOURNAL.

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 -

More information

LOWELL WEEKLY JOURNAL

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 (

More information

oenofc : COXT&IBCTOEU. AU skaacst sftwer thsa4 aafcekr will be ehat«s«ai Bi. C. W. JUBSSOS. PERFECT THBOUGH SDFFEBISG. our

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

More information

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

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-

More information

i r-s THE MEMPHIS, TENN., SATURDAY. DEGfMBER

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

More information

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.

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 -

More information

2.1 NUMERICAL SOLUTION OF SIMULTANEOUS FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS. differential equations with the initial values y(x 0. ; l.

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

More information

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

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\

More information

1 h 9 e $ s i n t h e o r y, a p p l i c a t i a n

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 \

More information

LOWELL WEEKLY JOURNAL

LOWELL WEEKLY JOURNAL Y G q G Y Y 29 8 $ 29 G 6 q )

More information

LOWELL WEEKLY JOURNAL

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 )

More information

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.

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

More information

b) since the remainder is 0 I need to factor the numerator. Synthetic division tells me this is true

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

More information

LOWELL WEEKLY JOURNAL.

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

More information

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

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 ( *»

More information

Wayfarer Traveler. The. Laura. Most of us enjoy. Family and multi-generational travel. The Luxury of Togetherness. Happy Traveling, Owner s

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,,

More information

Sect Least Common Denominator

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

More information

Crew of25 Men Start Monday On Showboat. Many Permanent Improvements To Be Made;Project Under WPA

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

More information

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

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 - -!

More information

Chapter 7: Exponents

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.:

More information

Chapter 6. Polynomials

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

More information

LOWELL WEEKLY JOURNAL.

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! «««#> ««!

More information

AanumntBAasciAs. l e t e s auas trasuarbe, amtima*. pay Bna. aaeh t!iacttign. Xat as eling te Trndi'aBd^glit!

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

More information

LOWELL WEEKLY JOURNAL

LOWELL WEEKLY JOURNAL KY Y 872 K & q $ < 9 2 q 4 8 «7 K K K «> 2 26 8 5 4 4 7»» 2 & K q 4 [«5 «$6 q X «K «8K K88 K 7 ««$25 K Q ««q 8 K K Y & 7K /> Y 8«#»«Y 87 8 Y 4 KY «7««X & Y» K ) K K 5 KK K > K» Y Y 8 «KK > /» >» 8 K X

More information

Homework 1/Solutions. Graded Exercises

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

More information

We say that a polynomial is in the standard form if it is written in the order of decreasing exponents of x. Operations on polynomials:

We say that a polynomial is in the standard form if it is written in the order of decreasing exponents of x. Operations on polynomials: R.4 Polynomials in one variable A monomial: an algebraic expression of the form ax n, where a is a real number, x is a variable and n is a nonnegative integer. : x,, 7 A binomial is the sum (or difference)

More information

Progress, tbe Universal LaW of f'laiare; Tbodgbt. tbe 3olVer)t of fier Problems. C H IC A G O. J U N E

Progress, tbe Universal LaW of f'laiare; Tbodgbt. tbe 3olVer)t of fier Problems. C H IC A G O. J U N E 4 '; ) 6 89 80 pp p p p p ( p ) - p - p - p p p j p p p p - p- q ( p - p p' p ( p ) ) p p p p- p ; R : pp x ; p p ; p p - : p pp p -------- «( 7 p p! ^(/ -) p x- p- p p p p 2p p xp p : / xp - p q p x p

More information

MISG 2011, Problem 1: Coal Mine pillar extraction

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.

More information

Chapter 6: Momentum Analysis

Chapter 6: Momentum Analysis 6-1 Introduction 6-2Newton s Law and Conservation of Momentum 6-3 Choosing a Control Volume 6-4 Forces Acting on a Control Volume 6-5Linear Momentum Equation 6-6 Angular Momentum 6-7 The Second Law of

More information

Spherical orthogonal coordinate system (3 dimensions) Morio Kikuchi

Spherical orthogonal coordinate system (3 dimensions) Morio Kikuchi Spherical orthogonal coordinate system (3 dimensions) Morio Kikuchi Abstract: Product of metric coefficient and radius of round line is constant in spherical orthogonal coordinate system. Coordinates and

More information

. L( )WE WEEKLY JOURNAL.

. L( )WE WEEKLY JOURNAL. ) Y R G V V VV ) V R R F RP : x 2 F VV V Ṅ : V \ \ : P R : G V Y F P 35 RP 8 G V : % \ V X Q V < \ V P R V \ V< R VRG : Y ) P [ < _ & V V 6 :: V } V x V V & x 2 ) 3 RR & 8 \ R < Y q GR : XR < R V R % 7

More information

plim W 0 " 1 N = 0 Prof. N. M. Kiefer, Econ 620, Cornell University, Lecture 16.

plim W 0  1 N = 0 Prof. N. M. Kiefer, Econ 620, Cornell University, Lecture 16. 1 Lecture 16: Estimation of Simultaneous Equations Models Consider y 1 = Y 2 + X 1 + " 1 which is an equation from a system. We can rewrite this at y 1 = Z +" 1 where Z = [Y 2 X 1 ] and = [ 0 0 ] 0. Note

More information

100 CHAPTER 4. SYSTEMS AND ADAPTIVE STEP SIZE METHODS APPENDIX

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

More information

and ALiTO SOLO LOWELL, MICHIGAN, THURSDAY, AUGUST 9, 1928 First Results of the 1928 Nationwide Presidential Poll

and ALiTO SOLO LOWELL, MICHIGAN, THURSDAY, AUGUST 9, 1928 First Results of the 1928 Nationwide Presidential Poll E E XXX E Y! D 22 5 Q G Y G Y D G G q - YEE 24-? G Y E x - E Q- E 7// < D D D G E G D - 2 ; - j E ; (z ; 4 2 z 5 q z: G $7 z: $5 z: $3 E G DY G 9 928 54 Y! 8! GEG : : ; j: D - DY DY G z D zz!!!-! G E DDED

More information

Chapter 2. Boolean Algebra and Logic Gates

Chapter 2. Boolean Algebra and Logic Gates Chapter 2 Boolean Algebra and Logic Gates Basic Definitions A binary operator defined on a set S of elements is a rule that assigns, to each pair of elements from S, a unique element from S. The most common

More information

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

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 ]

More information

( ) Chapter 6 ( ) ( ) ( ) ( ) Exercise Set The greatest common factor is x + 3.

( ) Chapter 6 ( ) ( ) ( ) ( ) Exercise Set The greatest common factor is x + 3. Chapter 6 Exercise Set 6.1 1. A prime number is an integer greater than 1 that has exactly two factors, itself and 1. 3. To factor an expression means to write the expression as the product of factors.

More information

Hong Zhou, Guang-Xiang Liu,* Xiao-Feng Wang and Yan Wang * Supporting Information

Hong Zhou, Guang-Xiang Liu,* Xiao-Feng Wang and Yan Wang * Supporting Information Three cobalt(ii) coordination polymers based on V-shaped aromatic polycarboxylates and rigid bis(imidazole) ligand: Syntheses, crystal structures, physical properties and theoretical studies Hong Zhou,

More information

MATH 19520/51 Class 5

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

More information

Manipulator Dynamics 2. Instructor: Jacob Rosen Advanced Robotic - MAE 263D - Department of Mechanical & Aerospace Engineering - UCLA

Manipulator Dynamics 2. Instructor: Jacob Rosen Advanced Robotic - MAE 263D - Department of Mechanical & Aerospace Engineering - UCLA Manipulator Dynamics 2 Forward Dynamics Problem Given: Joint torques and links geometry, mass, inertia, friction Compute: Angular acceleration of the links (solve differential equations) Solution Dynamic

More information

13, Applications of molecular symmetry and group theory

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

More information

LOWELL. MICHIGAN, OCTOBER morning for Owen J. Howard, M last Friday in Blodpett hospital.

LOWELL. MICHIGAN, OCTOBER morning for Owen J. Howard, M last Friday in Blodpett hospital. G GG Y G 9 Y- Y 77 8 Q / x -! -} 77 - - # - - - - 0 G? x? x - - V - x - -? : : - q -8 : : - 8 - q x V - - - )?- X - - 87 X - ::! x - - -- - - x -- - - - )0 0 0 7 - - 0 q - V -

More information

12/31/2010. Overview. 04-Boolean Algebra Part 2 Text: Unit 2. Basic Theorems. Basic Theorems. Basic Theorems. Examples

12/31/2010. Overview. 04-Boolean Algebra Part 2 Text: Unit 2. Basic Theorems. Basic Theorems. Basic Theorems. Examples Overview 04-Boolean lgebra Part 2 Text: Unit 2 Basic Theorems Multiplying and Factoring ECEGR/ISSC 201 Digital Operations and Computations Winter 2011 Dr. Louie 2 Basic Theorems Basic Theorems Basic laws

More information

The Finite Element Method

The Finite Element Method The Finite Element Method 3D Problems Heat Transfer and Elasticity Read: Chapter 14 CONTENTS Finite element models of 3-D Heat Transfer Finite element model of 3-D Elasticity Typical 3-D Finite Elements

More information

LOWELL WEEKLY JOURNAL.

LOWELL WEEKLY JOURNAL. Y k p p Y < 5 # X < k < kk

More information

Example 3.7 Consider the undeformed configuration of a solid as shown in Figure 3.60.

Example 3.7 Consider the undeformed configuration of a solid as shown in Figure 3.60. 162 3. The linear 3-D elasticity mathematical model The 3-D elasticity model is of great importance, since it is our highest order hierarchical model assuming linear elastic behavior. Therefore, it provides

More information

1 Partial differentiation and the chain rule

1 Partial differentiation and the chain rule 1 Partial differentiation and the chain rule In this section we review and discuss certain notations and relations involving partial derivatives. The more general case can be illustrated by considering

More information

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 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

More information

Jim Lambers MAT 280 Summer Semester Practice Final Exam Solution. dy + xz dz = x(t)y(t) dt. t 3 (4t 3 ) + e t2 (2t) + t 7 (3t 2 ) dt

Jim Lambers MAT 280 Summer Semester Practice Final Exam Solution. dy + xz dz = x(t)y(t) dt. t 3 (4t 3 ) + e t2 (2t) + t 7 (3t 2 ) dt Jim Lambers MAT 28 ummer emester 212-1 Practice Final Exam olution 1. Evaluate the line integral xy dx + e y dy + xz dz, where is given by r(t) t 4, t 2, t, t 1. olution From r (t) 4t, 2t, t 2, we obtain

More information

ECE380 Digital Logic. Axioms of Boolean algebra

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

More information

Exercise 1: Inertia moment of a simple pendulum

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

More information

COMPRESSION AND BENDING STIFFNESS OF FIBER-REINFORCED ELASTOMERIC BEARINGS. Abstract. Introduction

COMPRESSION AND BENDING STIFFNESS OF FIBER-REINFORCED ELASTOMERIC BEARINGS. Abstract. Introduction COMPRESSION AND BENDING STIFFNESS OF FIBER-REINFORCED ELASTOMERIC BEARINGS Hsiang-Chuan Tsai, National Taiwan University of Science and Technology, Taipei, Taiwan James M. Kelly, University of California,

More information

Lesson 24: Using the Quadratic Formula,

Lesson 24: Using the Quadratic Formula, , b ± b 4ac x = a Opening Exercise 1. Examine the two equation below and discuss what is the most efficient way to solve each one. A. 4xx + 5xx + 3 = xx 3xx B. cc 14 = 5cc. Solve each equation with the

More information

Unit IV State of stress in Three Dimensions

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

More information

Chapter 6: Momentum Analysis of Flow Systems

Chapter 6: Momentum Analysis of Flow Systems Chapter 6: Momentum Analysis of Flow Systems Introduction Fluid flow problems can be analyzed using one of three basic approaches: differential, experimental, and integral (or control volume). In Chap.

More information

Solution of Matrix Eigenvalue Problem

Solution of Matrix Eigenvalue Problem Outlines October 12, 2004 Outlines Part I: Review of Previous Lecture Part II: Review of Previous Lecture Outlines Part I: Review of Previous Lecture Part II: Standard Matrix Eigenvalue Problem Other Forms

More information

IOAN ŞERDEAN, DANIEL SITARU

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.

More information

Section 7.1 Relations and Their Properties. Definition: A binary relation R from a set A to a set B is a subset R A B.

Section 7.1 Relations and Their Properties. Definition: A binary relation R from a set A to a set B is a subset R A B. Section 7.1 Relations and Their Properties Definition: A binary relation R from a set A to a set B is a subset R A B. Note: there are no constraints on relations as there are on functions. We have a common

More information

13. LECTURE 13. Objectives

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

More information

Stress transformation and Mohr s circle for stresses

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.

More information

Real space investigation of local field effects on surfaces

Real space investigation of local field effects on surfaces Real space investigation of local field effects on surfaces Nicolas Tancogne-Dejean, Valérie Véniard Laboratoire des Solides Irradiés,Ecole Polytechnique, CNRS, CEA/DSM European Theoretical Spectroscopy

More information

AE/ME 339. K. M. Isaac Professor of Aerospace Engineering. 12/21/01 topic7_ns_equations 1

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

More information

Boolean Algebra and Logic Gates

Boolean Algebra and Logic Gates Boolean Algebra and Logic Gates ( 范倫達 ), Ph. D. Department of Computer Science National Chiao Tung University Taiwan, R.O.C. Fall, 2017 ldvan@cs.nctu.edu.tw http://www.cs.nctu.edu.tw/~ldvan/ Outlines Basic

More information