Liberty unci Union One and Insep,arable. r ' LOWELL. MICHIGAN, WEDNESDAY, AUGUST 10. 1*7
|
|
- Claribel Carson
- 3 years ago
- Views:
Transcription
1 LLL KL G L L LLL GN N G 7 L LLL K L K) :K : NN : N K N K K L< N L N $ K 2 NG N q 6 [ ):L NN NK L $ L KKX K N X KK NX K: $ $ $ : 2 < L ««$ q L N K» KL L K «» K ««LK K «N «L < K 2 N NG ««G : : : : < K N K LK K K KK L G KXKL» KLK»«L «L? : : K : <» < < L ««~ Q K N KN [ LL L ) 7 G KK LK N L N K < L G N» L N N L QG L _ <K _ < L G L L X N K» L N L N K G L NK KK NLL N N K G XL L N G N # G N L K G 7 7 G LL K L N X K : N L G G : ) L G G N K L NL K G N «G <» L L N N GN ~ L «X G LK Z G N 2 9q ZZ { 6 LG L L N LL N K LN NLL L 2 7 N GN N G G q L 26 7 : ) «L < ~ LNG K KLN G N 2 XG K LL K $6 G : LN L N L LN XX q NG N <» NG N «= N» ) L G «N G N K N L? K q «G N G LL KN N K K NN LL N N : : L G N G L L G» G Q G ««G L G LL N «G K K G :«G L G G L «L G K «N «X G G» LL G L N <«G K G L 7 )KLK N N LL KN K N N LL KN L L LL LL L G N G L LL LLG [ N» < L K LL 9 L L N K L X N L < »: K :» : «) _ «< «: ) : N 2 «G 6 X 7 K» «L { K )] K K N _ 6 «««KN? 29 G }» [ }» : 2 «7 N L L < q K 77 «««QN L _ «««: N L»:» L? K»»»«[ L K «L L» L L L2 L N L G X q KK :» LL 7 N N N #» < :{ K L 7 G 6? «9 G N G L G K X L L L L_ G _? LL N q 2 K» } < K ) : : K : «K ««q < <»»»»» «:: :?» <«<» < L : 2 :»» < _ < X ]» : K } : < : < :» } N : L X LL N GN L K NK «: L q : K : )» K ) «? : N : N» : L N» L K»< % + K» K Q 7 N» N Q L L : : K XXX N G : L G LG 9» : < :» X } N :::: < : L : K G L «L L 9 : : «NN
2 K X GNK z $ «K KN X L z z N : K K $ N N L K N <» L NK? K K $ ) K K $ K K XLN L $ ) )]{ : N N ] 2 «<7 K G L L LXLL [ N L N N $2? G L L N L NN q N { q K «N N «7 L N < N «297 N K ) 9 7 G G L {2) G q ] ) ««q NN q G 2 LLNGN ] q G L L z z ) ) L L 7 ) ) N ] N G 7 7 K K 2 : L ) : N ) : L K z ) G? 7 K L L N G G $ z G { G $2 : N N N ] Q G _ 6 q ) ) L L ) Q X ] ]» L ) «N [ L N N G L $ G L z ) KL X [ L $ GL N K N K K GL G z N L «< ~ K z N L N K N G L $ $ $ $ # N L? N L ] { ) q q L»» G N L N q N z LKKN zz K N K» «< % # :? N G K : L G 7 : ) N { z $2 K ) } L $2 $ q : N : K«G L K L : N K N L N K L G»» : K < K ] ) L ) 26 G : L 6? ] N : # <?» K»«) )»Q : K K ) ) ))) «K? K L K KN ) K K ) z N z q q z ) q K ) L K K? 9 7 N ) N N q : 2 K? : ) $ 7 : $2 G 7 7 K ) 2 : G ) L K ] G q $ q K N «: ) { $ : )) ) 9 ) $ N q N L ) _ 7 ) «: N [ 7 _ ] Q 9 % ) 2 < )? ) ] $2 $6 9 N z ) N q G ) N q q N q q G z 7 q L : q : { N q? N L «X «< L? : q % z : z L N 27 7)G ) : 97 X G K q q L q L : z G «q» ] ) L 7 G q K K z : 7 : K NXX N K K N G G G
3 LLL L N L L L G G 2 : )? L Kz ) z? q 9 G? Q 2 7 L 69 LGL N N «:» : K ) $ : q LL : K = ) K GL K N N 2 K K L) Q q G G N K LK KK L N N K 9 ) 2 2 NNG K N KX «:«KL» K Q G N L L L L L L N L : :2 9: 2: 2:7 9:2 2: 2: : Kz L 9: : 9: 2 2 : : 2: : : : Kz G G G G GKN L G [ G L 7 L 2 G ) L 6 G L q 2# : N N NL 9 q q q ) N G K LX : L N LN :? G G? L 7 G L L? G G 7 G N L L L G L N z q G L G 9 ) q L G q z q? L K N L G? L L q L L ) q q : G L N L G G 6 q q L L LK NN N L N NG K z ) K N G L G G 7 L G G K : 7 L Kz XNN NNNG G q K G N L 2 q q «: K K K K : L «K } KN 2»: 2 N?) L K K? L z ««K [ z G K ): X «)L L $ K G «L z K : N :< K 2 G : z?»» K Kz» «L ) «N L L «K : z N «K< N < N G G 2 2 L q N ) K «K NK ) L» { KG ) L ) G? Q K # L [ G KKN LKN K X $ N?) «: < [G 7 7 K ) L $ K L LK K«K L K N )62 N N 2 )7 : K L L : G L :? 2 2 : K K 9 G G G K «K «: N 2 L : ««K L L G «2 «) LL : L 7) : G : : G N L L L $ G q N LK G G z 6 G _ K «) : $ < K GK N NK N Kz $» $ 2 : L 7» Kz L X : : 2 7: :2 K N : : GNG : LNGN q G L L N N G GN L N <» NG ] % # N NG N N «N K« : K N : : N G K L ]??:2 «« ?» L G» < : N N LL KN? K G N N K G L G K KL L X KL LX 2 {)9 XL L? « L 2 G K NK L $ 2 7» L G G K» L» KN L L N N LNG N G )» N K N «K < «~»»«[ [ : ) z ) K L : L LL N NLL L N K G G N [ N N L q G z L K 7 L 2 : 7 7» :?» L X L L G L L L KL N N N N 9 G LL G L N G LN LK : :«: : : G : K N z 7 L N N < : 2 K : : N G : 2 K KL KX : L K? X L N N G L «LL XN K N KN» : 2 G L «N L?L» «X L KL K K? <» NN ) GL GN : N G G K LKK L? :«LL K» : q _L N N LXN :» N N< LK N? 7 2 L q 2 # G K N XN G 7 N N «L L 7 2 N z G K»»» q L L L» q K GN 7 7 G N G NG»»«L K G 2 G K LL N <:: G Q N N 7 2 G K» K : N Q Q L G N G G L L N G 2 LLL K L 2 N 2 )» :) 2 7 G )» ) ) «K N K KKK 7 K 2 L $ G 7 2 $ K L $2 K 2 G $G 7 L $ 7 L $ 2 L $2 L L 2 L $22 N 2 2 L $ G 6 L $ G L $2 : [ G : : ««) : N :? :» : «) » L? G G :»» : «:»: : $ L K «< «L : : K» : : G L L NNG N
4 «KLK K K K N «< K N X «) < L N «L :»«q KN»«K ) < K «: «K K :: N : Q K» q q : ) { K K K z )» L N LG L L L K N L q z _ N N z G N L : 2 : L N? K L L q L? % [ ) z : L» L ] K z N G ) q L q z q L z q q z z ) ) q ) L G?? N z z q L ) { : q q } :» : K L L K L? N : N q L? q < % q :? z K L q : q L L G q z q N N N q L N ) ) L q 9 ) : )7 )? 7? N z q : X K N Q N } 2 q z : L 9X) N q : L z «L z? :»» K ««qk K q q q : q G q G Q N q z NNL X X L N :X K K < «N «N zz z? K K K L K N N~ NK K X K K «2 < «2» N N «K G K < KK K L K L K K N N 6 7 < < < 2 ) ) «2 2 N 2 KN» LN K«N ) NNNL L K N N K : L K 6 7 9X «K N K L L K ««7 N q K N 2 «K N 2 : < K L N N K N KK 6 G 7» 2 7 K 2 2 L KKL K K K 2 ««K «7 6 2 N N 2 «NN _ LL Z N Q q < K 7? N q NKLL : < { L «N:9 L L K K N K K K ::N N K L K N G : N» K q L N K K 2? ) q K ] # L X Z ] N K «] NN G L K L K NNN » L ) K» 7 KLL < K»? «N q : L L G N? L N G K K L KL? «L :» X : N»» «) : L KN < N K K N : N N L «: < ««: : 7 : : L :» «L N ««L < «: N KNN K : K K K N K z N «K : K K K L K? KK K K LN XXK «L N N G L N L Q K L G N N N «K L K N N X K N L N K ) K N» N 7 { N N L N N L N N N L N K N» L L L K N N < << K N G L : L N L N N K : N N K» L«N : ] «N»»» L N K K N K K N K :» N : < K N K K K :: N K < «««< N : N NK K K N : < % N K ) KN «««) ) G L N < N : ) z ) L N NKL «NNL N L K q K N z z N ) K KQ» ) KK «2 N NK G L ~ N ) : Q L L { )K X N NL «) q : L «? ) 7 K K L <?»» < < K ) «_] NN N N G $ ««N «K KN KL NN 2«K N N K «: NK ) ) ~ < :: : L? < ) :» Q L» G 7 7 q»«xl G KK K : _ : : : _? : L G K K K ) q K 7» N : L N L? N K z K ) N [ q? : z»»»») K «L N N N N G 7 N «:» K) :» 9 q :«: : : L Q 2» N 27 N L LK q N : K?»«LN N GN % L K NK «NN L K N N
5 K L : L : < ) : K : :? Gz : L K N z Kz 9 7 Kz 9:2 $7 [G N N L KN L _ «««««L «K X XX G N N N NXG L KK NK L N K < «z K LL? KN L L «66 G? L L Q LL K X GN N N K N : L NG NG L6 NNG N K 2 K X <? : : 7» N N XN K GN K z % 7 ) K K N «L N GN G LL GLL KK KK N «LN K L GGK GN GN G N K K L : KN L 2 7 L G N L L L L L LN N N L K N K < _ K ) N : < L q» L: «< K ] : : K ««: : : : : : q» # :: LL N KK N N) K K ) K N LL N NK L ) K LL N NKK N N N LN» KN»«[ < N K L X K LL K» K { N K N L N L N LG N N N N NL 2 NKL N NN LK LLL N N <K:» «) ««K 6»» :» )» L «< KN < XN 2 N 6 N : 7 N K L : K L L X «) < G LL K ) «: K K < «N ) K N :
WOMAN Suffrage County Convention at Grand Rapids June 16tb. THB appcarance of the Tillage cemetery has been greatly improved this season.
LLL UNL G 2 U8 U 0 LU X LLL GN NY UN 3 84 NU 48 NK XLY 8 U KL LK LY 8L8 L L N U08 UNL j X UKL UL q : N N X L } $ L q G - 8 8 4 N LX q U U 0 L N -U j UXL 88 G U X KK N U N LL LL QULY G : XLULY N Y j - x
MIS S BALLS, L.L.A.]
& N k k QY GN ( x - N N & N & k QY GN x 00 - XX N X ± - - - - ---------------- N N G G N N N Y NG 5 880N GN N X GN x ( G ) 8N ---- N 8 Y 8 - N N ( G () G ( ) (N) N? k [ x-k NNG G G k k N NY Y /( Q G (-)
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! «««#> ««!
LOWELL JOURNAL CRESP0 REIGNS. MICE DESTROY #10,000 CASH. T O W E L L S T A T E B A N K,
N V 2 2 7 2 9 2 K K «KN < K KY KK K KN ( *
UP TUB G. R. & I. Wo took tho train at EALERS ID Uragi.PatentKtdloinei.Psrlumtry
LLL NL G B- L - 60 VL V LLL GN NY Y 3 NB NY BL VY LLL Y- NNG -- K G B F BN: F x «5 $00 F VN L q L B K B B- - 3 6 L» q $00 $300 $00 $00 00 F q 600 00-00 900 L 500 00 500 000 5 0 BK Nx 00 500 50 3000 000
LOWELL. MICHIGAN, THURSDAY, AUGUST 16, Specialty Co. Sells to Hudson Mfg. Company. Ada Farmer Dies When Boat Tips
K N» N - K V XXXV - N 22 N 5 V N N q N 0 " " - x Q- & V N -" Q" 24-?? 2530 35-6 9025 - - K ; ) ) ( _) ) N K : ; N - K K ) q ( K N ( x- 89830 z 7 K $2000 ( - N " " K : K 89335 30 4 V N
An Obligation Regarding. Best Yet
5 L K N C N LL b b b b b b L L L L L C G N Y C 2 929 L N 929 b L G Y b b Y N NK b b b < C b z b L C b b b Gb G b q b b : x C - Q C b 22 5 b 5 b b 5 2 b K 2 b 3-2 b 6 b Gb b Lb C C -- L - 9 : 999 929 ]
W I T H M i A. L I O E T O W A R D ISTOlNrE ^ I S T D C H A. n i T Y F O R - A L L. "
J/ H L D N D H Y F L L L N LLL KN NY H Y 2 95 HL N NG F L G NG F LNDD H H J F NH D K GN L _ L L :? H F K b H Y L DD Y N? N L L LD H LL LLL LNNG LL J K N 3 ND DL6 N Lb L F KF FH D LD3 D ND ND F ND LKKN
HEAGAN & CO., OPP. f>, L. & W. DEPOT, DOYER, N. J, OUR MOTTO! ould Iwv ia immediate vltlui. VEEY BEST NEW Creamery Butter 22c ib,
#4 NN N G N N % XX NY N Y FY N 2 88 N 28 k N k F P X Y N Y /» 2«X ««!!! 8 P 3 N 0»9! N k 25 F $ 60 $3 00 $3000 k k N 30 Y F00 6 )P 0» «{ N % X zz» «3 0««5 «N «XN» N N 00/ N 4 GN N Y 07 50 220 35 2 25 0
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
LOWKLL. MICHIGAN. WKDNKSDAV. JUNK is, IS7I. M ' M r. F. n. v j. 1,(1 W . NATIONAL BANK I I P ' O F L O W E L L.
G B L? -- LLL GN N N L \ L BY- B RB & N (» R BRN - 2 R RNG N» _ 8» B - < - B -»q $ 28q \ 2 2 2 8 2 R 2 2 B - B 2 B N q B Y N B (» -» - L ( \ ( \ N N - Q B - - B - / - B - - R B B & LR8 } ( B B G B NR q
W I T H M A L I C E T O W A R D N O N E A N D C H A R I T Y F O R A L L. " A LOWELL MM. Sent to Jackson for 30 Years for Attempt
D N N N D Y F 6 KN NY G 2 89 N NG NK!? B! ( Y FB Y N @ N6 F NDD / B F N 8DBK GN B B ) F K Y Y N? x N B D B NNG = ZK N F D BBB ZN F NF? K8 D BND ND ND F ND N DNG FXBN NDNG DD BX N NG ND B K DN G8 > B K
Mathematical Induction Assignments
1 Mathematical Induction Assignments Prove the Following using Principle of Mathematical induction 1) Prove that for any positive integer number n, n 3 + 2 n is divisible by 3 2) Prove that 1 3 + 2 3 +
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
LOWELL, MICHIGAN, NOVEMBER 27, Enroute to Dominican Republic
LDG L G L Y Y LLL G 7 94 D z G L D! G G! L $ q D L! x 9 94 G L L L L L q G! 94 D 94 L L z # D = 4 L ( 4 Q ( > G D > L 94 9 D G z ] z ) q 49 4 L [ ( D x ] LY z! q x x < G 7 ( L! x! / / > ( [ x L G q x!
TO. cash register at Helm's filling stafrom By K. K. Vlnlng under i t o -!
L G N B C V L G LL LL L? U Q N LLL CGN FBUY 6 9 FY-NN Y N \// F K C G V/NY F -? - - VC N? C F q q L C L L L ; $ K - F B K K V - q -! G K - N G B B G - K G C ( C U L L - < - # ( - - 9 C K x ( C(! L K UU
UP and ENTRIES. Farmers and WivUs to Hold Old-Fashioned Meeting Here
LD : g C L K C Y Y 4 L LLL C 7 944 v g 8 C g 85 Y K D L gv 7 88[ L C 94 : 8 g Cg x C? g v g 5 g g / /»» > v g g :! v! $ g D C v g g g 9 ; v g ] v v v g L v g g 6 g (; C g C C g! v g gg gv v v 8 g g q»v
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-
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 - -
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
and A L T O SOLO LOWELL, MICHIGAN, THURSDAY, J U N E Farm Necessities Off State Sales Tax list Now Exempt
H DG N Bg G HN H ND H NG g g g g Yg x x g g gg k B g g g g g g g g g g x g g g k g g g k gg g x g z g g g g k k g g g g k XY- DN H GN DP N PG P D HN DN NPNG D- H HGN HDY N 3 935 Y - H D Y X 93 D B N H
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 ]
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 JOURNAL. DEBS IS DOOMED. Presldrtit Cleveland Write* to the New York Democratic Rilltors. friends were present at the banquet of
X 9 Z X 99 G F > «?« - F # K-j! K F v G v x- F v v» v K v v v F
Kent Co. Received Red Cross Service Abundantly in ' 4 9 E
G N GN Y 95 89 N - q» B < ) < - 9 - - - - q ( B 6 - q - Q» x x 8 {) N - 9» -
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
SAVE 9,893 SALE PRICE $12,961 * SAVE 6,354 $22,596 * SAVE 9,833 SALE PRICE $42,864 *
L WY UL - UL L ** L WY UL - UL L ** 3,839 5,649 6,94 L WY * L WY * 017 k,,, 16,800 Hk, f, k.,! 8,45 1,961 * L WY * 017 z L,596 * L WY * 017 k L 4,864 * f,, 49,010 007 L, L...W 4,998... 3,957 007,,...W
LOWELL, MICHIGAN, MAY 28, Every Patriotic American Salutes His Nation's Flag
/ U N K U Y N Y 8 94 N /U/ N N 3 N U NY NUN ;!! - K - - 93 U U - K K»- [ : U K z ; 3 q U 9:3 - : z 353 «- - - q x z- : N / - q - z 6 - x! -! K N - 3 - U N x >» } ( ) - N Y - q K x x x Y 3 z - x x - x 8
JiZuan Under New Owner. Strand Makes Generous
LDGR NR B L G LLL N P L 4 k K K D k D k > L L LLL LD G LP R LLG L PL R RRY L Lk D 4 k q? ( () D 3 L k L q Lk L L 9 k K k k NR B RL L L 22( k -z L > G k k L LBL L k --k P z D N k q k N ( - D N P? 2 P k
Three principles. POPL 2012, An Abstract Interpretation Framework for Termination. Principle I. Refinement to principle II
G-G u l gg gug ll U Ju 5- l k g l l *** gg lgug k u uu/u/ /u/ k R u /u/ u & R u * ** gg u u R u u l l l g u 5 Hll u R u g g l k u R u u k k u & R u R l l ll l gg lgug k u & R u k u & R u l ll-k lk ug ull
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 ( *»
Introduction to Inertial Dynamics
nouon o nl Dn Rz S Jon Hokn Unv Lu no on uon of oon of ul-jon oo o onl W n? A on of o fo ng on ul n oon of. ou n El: A ll of l off goun. fo ng on ll fo of gv: f-g g9.8 /. f o ll, n : f g / f g 9.8.9 El:
THE I Establiifrad June, 1893
89 : 8 Y Y 2 96 6 - - : - 2 q - 26 6 - - q 2 2 2 4 6 4«4 ' V () 8 () 6 64-4 '2" () 6 ( ) * 'V ( 4 ) 94-4 q ( / ) K ( x- 6% j 9*V 2'%" 222 27 q - - K 79-29 - K x 2 2 j - -% K 4% 2% 6% ' K - 2 47 x - - j
Eastern Progress - 3 Mar 1923
922-927 Kk U Y 923-3 923 Kk U //k/ 922-27/7 N VOLU WO X-COON O DUCON OG COND DON COUNY W WOOD LCD DO O NNUL NOC - N CL WNGON DY D Cx W Oz N WN GN O U N N C U D Y C 3 923 CUC OCL W NOD VN W C 9 NO OU UDN
MAHALAKSHMI ENGINEERING COLLEGE-TRICHY
DIGITAL SIGNAL PROCESSING DEPT./SEM.: ECE&EEE /V DISCRETE FOURIER TRANFORM AND FFT PART-A 1. Define DFT of a discrete time sequence? AUC MAY 06 The DFT is used to convert a finite discrete time sequence
THE LOWELL LEDGER. INDEPENDENT-NOT NEUTRAL.
: / LOLL LDGR NDNDNNO NRL VOL X NO 26 LOLL GN RDY DR 902 FV N ONDRFL GRO D x N Y NK LL & O OLD RDN GON ROR NR R «ROY ND R LON N V» Rx Rj K» O ««(» F R G GRLND x ( ) R OF FRND ;«QK L L RNG X R D 02 Q F
F R ID A Y, M A R C H - 16, 1917 J;, APPOINTMENTS MADE OCEAN GROVE. F ie ld S ecretary Of P re a c h e rs Aid. E le cted L a s t S atu rd ay.
Y ll cq l Y R g Y c 6 67 g 5 6 Vl X X V R V R V U UY V RUY RU Y R R U R R ll k g l c c l g l x l c g c ll l c k R l l ll cl l c k g l g l k g c l l l c g x c c g l c l c c l g l l g l l l g c l c c c ll
ERAOAL COERECE UCOE CURRE RED ECHOLOGY O 0 l n ll n l Gnlly g l lw hv g l % % xly n g v n n hv g v l h l Bg: R Dg Hgh h x g l lly l lly h ly n HDR n h
AHMEDABAD RMA UVERY UE O ECHOLOGY 8 0 48 8-0 DECEMBER 0 A y x h y A n ny n lg l w Anly Rn l n h K ) 995 ( w g R L n gn y x h hv h y ln w ny n ny lg B lk V lg x w y ln h n n ny h nl w n l h hn l n ly hv
N e w S t u d e n t. C o u n c i l M e n
ZV. XX L GG L 3 942. 25 J b D b v D G... j z U 6 b Y DY. j b D.. L......&. v b v. z " 6 D". " v b b bv D v.... v z b.. k."... 92... G b 92. b v v b v b D ( 6) z v 27 b b v " z". v b L G. b. v.. v v. D
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
G r a y T a k e s P o s t. A s N e w Y S e c ' y
Z- V XX,, P 10, 1942 26 k P x z V - P g U z - g P U B g,, k - g, x g P g,, B P,,, QU g P g P gz g g g g g, xg gz : J - U, ; z g, -; B x g W, ; U, g g B g k:, J z, g, zg, J, J, Jk,,, "" Pk, K, B K W P 2
The news and ideas magazine for the Independent Agents of United American and First United American Life Insurance Companies
z U U L DOR G kk RV LD J B L @k W! O O 972-529-585 R U 315-451-7975 ( ) G RV R 8-925-7355 @k WB / / U U L O G RORD RG B J 1 22 B ( ) J 22 : J 1 22 B D J 1 22 B D J 1 22 J 1 22 LORD OUR LR LL O R () x k
. ^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
Odds find E n d s ENTRIES. and A L T O SOLO. iiik places for many species of liik JMtHSIDKVrS r ITCH I
LG Bx L G L L FY-F Y LLL G Y 593 JBL F GBB 3 P P P P P B P P P g J g -g ( J z x 000 P gg - F g L g g L YB J 933 g 95 Y LL g g g g- PY L FG LLL F LLX F q F PP06 BG P P P F g 000 g F L 93 PL - L g g G gg
Una aad Ark«m*. I cuim tie la.-seit HTni«.ent 9. Twenty.? S 3 S 3 CLOTHS, MEMPHIS, TENN., SATURDAY. JANUARY 18, 1873.
8! (!> > > ( v 7 q! v Y vq! >5! #! g k gg y y k Q G [x y k xv < zg > 9 _ 7 v ) 6 4 { k & x > 5! k & \ ) >% G > k k x k< G < q k>{> y k k kk k 2 k y y k ( y k y y Y g
APPROXIMATION TO REAL IRRATIONALS BY CERTAIN CLASSES OF RATIONAL FRACTIONS 1
APPROXIMATION TO REAL IRRATIONALS BY CERTAIN CLASSES OF RATIONAL FRACTIONS 1 W. T. SCOTT 1. Introduction. Hurwitz proved that if co is a real irrational number, then the inequality (1) *>-#/?
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 -
Lowell Dam Gone Out. Streets Turned I n t o Rivers. No Cause For Alarm Now However As This Happened 35 Years A&o
V ()\\ ))? K K Y 6 96 Y - Y Y V 5 Z ( z x z \ - \ - - z - q q x x - x 5 9 Q \ V - - Y x 59 7 x x - Y - x - - x z - z x - ( 7 x V 9 z q &? - 9 - V ( x - - - V- [ Z x z - -x > -) - - > X Z z ( V V V
A WORD To V eteran Spiritualists.
%U g U v L ^ ; ^ g )! v ^ L 7 Y 3 393 8 & d z ^ k ^ dv g d d kd d g - d dx d d dd d - ~ ---------- v g g d - v d U g d d d Q v g - k g g vg d d g g g g g d g U j k g d k q g g v d - d g d! v g d g d d
Monday, July First, And continues until further notice.
4 E N % q * - z P q ««- V * 5 Z V E V 3 7 2 4 8 9 E KN YNG P E K G zz -E P * - PEZZ 23-48 G z : P P 78 N P K - - Q P - 8 N! - P - P 8 8 E E-*«- - 3 4 : G P - G N K P P Q* N N 23 E 2 *8342 P 23 2552 2K
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 - - / - -»- --
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»
'Xomincrcial (LciiuiuTciai. It II. J XV' tct if. II. II ei siaaspa. card, a ill VOL. 313niral... Cooper and Ganger, at the Old Stand, KINO AND
ux DY DK D K u NG K D R RK Q GN b u b b D K u u u x xu b b b b x RRD KRN RK R u K K u u x RN K b u RN ND GN N N G KN u Kx G G u b u bb u u b N bb x u x Qu Kq 9 D R RN Rb N bu u NYR G u N QN NRR Ku 9 R
Detailed Geographic Boundary Definitions + Methodologies
Detailed Geographic Boundary Definitions + Methodologies Regional data was estimated by Essential Skills Ontario using the first three characters of the respondent s postal code- termed FSAs (Forward Sortation
OQ4867. Let ABC be a triangle and AA 1 BB 1 CC 1 = {M} where A 1 BC, B 1 CA, C 1 AB. Determine all points M for which ana 1...
764 Octogon Mathematical Magazine, Vol. 24, No.2, October 206 Open questions OQ4867. Let ABC be a triangle and AA BB CC = {M} where A BC, B CA, C AB. Determine all points M for which 4 s 2 3r 2 2Rr AA
INDEPENDENT IN AM, THINfiS. NEUTRAL IN NOTHIfSfi
* * NDEPENDEN N N NEURL N N YL N 36 LELL N 2 99 LE N 296 N LL P R $0 DY--K *Y " - R YLN 3 R YLN N R 47 R [47
Compare the growth rate of functions
Compare the growth rate of functions We have two algorithms A 1 and A 2 for solving the same problem, with runtime functions T 1 (n) and T 2 (n), respectively. Which algorithm is more efficient? We compare
LOWELL J O U R N A L
O O V X 5 O G O X G O K O K FG O O K F; K F OK 5 O K $GOO «OKK O G F G G G G ( v v Gvz O O *«* K ] F F K v v v : v : F OG O OK O G?;;::OO O K O O vv v q >v v V v / (}»* v v v: v vv?? O ; Q
Min Established June, 1893
893 F V 4 F B; V L K 4 F B L 4 L 65 F * K G V 350 B F F F 7 D G D; F V N N x F F F P G B B z F 8 868 898 G L: F B ; 3 9 ; L D L x F P D z x L F : B G 39 : G 6 ; B N ; 3 ; L 3 ; VV L ; K D ; q P 5 q; K
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:
Two Rational Recursive Sequences
ELSEVIER An Intemational Journal Available online at www.sciencedirectcom computers &.c,=.c= ~--~=,,,==T. mathematics with applications Computers Mathematics with Applications 47 (2004) 487-494 www.elsevier.eom/locat
Cosets and Normal Subgroups
Cosets and Normal Subgroups (Last Updated: November 3, 2017) These notes are derived primarily from Abstract Algebra, Theory and Applications by Thomas Judson (16ed). Most of this material is drawn from
i) G is a set and that is a binary operation on G (i.e., G is closed iii) there exists e 2 G such that a e = e a = a for all a 2 G (i.e.
Math 375 Week 2 2.1 Groups Recall our basic denition: DEFINITION 1 Suppose that: i) G is a set and that is a binary operation on G (i.e., G is closed under ); ii) is associative; iii) there exists e 2
Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ
Ğ Ü Ü Ü ğ ğ ğ Öğ ş öğ ş ğ öğ ö ö ş ğ ğ ö ğ Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ l _.j l L., c :, c Ll Ll, c :r. l., }, l : ö,, Lc L.. c l Ll Lr. 0 c (} >,! l LA l l r r l rl c c.r; (Y ; c cy c r! r! \. L : Ll.,
A b r i l l i a n t young chemist, T h u r e Wagelius of N e w Y o r k, ac. himself with eth
6 6 0 x J 8 0 J 0 z (0 8 z x x J x 6 000 X j x "" "" " " x " " " x " " " J " " " " " " " " x : 0 z j ; J K 0 J K q 8 K K J x 0 j " " > J x J j z ; j J q J 0 0 8 K J 60 : K 6 x 8 K J :? 0 J J K 0 6% 8 0
CHAPTER 4 SOME METHODS OF PROOF
CHAPTER 4 SOME METHODS OF PROOF In all sciences, general theories usually arise from a number of observations. In the experimental sciences, the validity of the theories can only be tested by carefully
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 ( (
Years. Marketing without a plan is like navigating a maze; the solution is unclear.
F Q 2018 E Mk l lk z; l l Mk El M C C 1995 O Y O S P R j lk q D C Dl Off P W H S P W Sl M Y Pl Cl El M Cl FIRST QUARTER 2018 E El M & D I C/O Jff P RGD S C D M Sl 57 G S Alx ON K0C 1A0 C Tl: 6134821159
" W I T H M A L I C E T O W A - P t D N O I S T E A - I S T D O H A n i T Y F O R. A L L. " A TENDERFOOT. an awful storm." At this juncture,
v «> X k < W L W - P N - Y F R L L / L N LWLL N UNY PR 9 WL N - [N v v NRF N -Nv j k q v v k k v k Rk x - v N W k - WLL PN NG NV k Rk G v Y L v k (?)! V W k ) W k v k P UL W Pj$ V G k v -) v k W j v k
2 Vllg u ug u v l u u k u qu ll u gv u T l. u l. u l l u ll v g u T l u u l g l u l uj - u k. l l ug T ll u u. u u u l g u l. v lg u v u l v Yu l. l u
.vllg.g.u T A Qul Vllg. R R P B x 1361 Bu QLD 4575 C l k g N. 95 N EWLETTER Augu 2015 E l C g: M Ml Tu M g k l. W gul M ug l l ll C. W k u k v M u k ul g ll ugul L C Nv ( l g 4). W l k v ug l k ul M ul
Polynomial Formula for Sums of Powers of Integers
Polynomial Formula for Sums of Powers of Integers K B Athreya and S Kothari left K B Athreya is a retired Professor of mathematics and statistics at Iowa State University, Ames, Iowa. right S Kothari is
CITY OF LAS CRUCES INFRASTRUCTURE/CIP POLICY REVIEW COMMITTEE
1 5 6 7 8 9 11 1 1 1 15 16 17 18 19 0 1 6 7 8 9 0 1 5 6 7 8 9 0 1 ITY OF L U IFTUTU/I OLIY VI OITT T fwg f g f f L - If/I w f b 17, 018 :0.., f L,, bg (f 007-), 700, L, w x. B T: Gg,, G g, / T, 5 J, g,
' Liberty and Umou Ono and Inseparablo "
3 5? #< q 8 2 / / ) 9 ) 2 ) > < _ / ] > ) 2 ) ) 5 > x > [ < > < ) > _ ] ]? <
Procedure for Measuring Swing Bearing Movement on 300 A Series Hydraulic Excavators {7063}
Page 1 of 7 Procedure for Measuring Swing Bearing Movement on 300 A Series Hydraulic Excavators {7063} Excavator: 307 (S/N: 2PM1-UP; 2WM1-UP) 311 (S/N: 9LJ1-UP; 5PK1-UP; 2KM1-UP) 312 (S/N: 6GK1-UP; 7DK1-UP;
YOU IX. SERIAL NO BROAD/fsEETJUjEAT.. ISj&ECTED. VEWAfi2> a8t « Mesifc. lee M-^n H * * ident at Annual Convention in Atlantic
> PPL P! Y G LLNY C LP L P 9 B /> z $00 C / C Q 98 C k 9 7 700 v k $00 L \ x z =6=! k v G $9 L v 0 8 v N P Y C CC v B C P 0 698 BP CC P 9 B CN PBYN CC P v Cv P P L 00 B k x LPN 8 Q xkv/ q/ > < P B B /
DISCRETE FOURIER TRANSFORM
DISCRETE FOURIER TRANSFORM 1. Introduction The sampled discrete-time fourier transform (DTFT) of a finite length, discrete-time signal is known as the discrete Fourier transform (DFT). The DFT contains
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 )
wi& be demonstrated. Ilexbert Arkro,
8( P C B E L B A k> D A 10 O N O k jk \ CH 12 B R Z G kxj7~53> P C C 20 A A P O P 3 x G H kv 7 B5! &$ L N M k APO HM M B / Bk K j R 3(330 C BH& B k C j 2jB A D C & Dk M L 12 H R > APO k L E k M k APO M
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
MATH 1372, SECTION 33, MIDTERM 3 REVIEW ANSWERS
MATH 1372, SECTION 33, MIDTERM 3 REVIEW ANSWERS 1. We have one theorem whose conclusion says an alternating series converges. We have another theorem whose conclusion says an alternating series diverges.
Chapter 2--Asset and Liability Valuation and Income Measurement
2--A Lbly Vl I M S: 1. W f fllwg bl f vl? A. Eq B. L. Iv Mkbl S D. Igbl A 2. Wy g x x ff f l x gv? A. T g ff w gz y y b bj x. B. T IRS l f llg.. Fl x. D. T IRS q fl f x. 3. Sl qy f w : A. A, lbl, b l.
O W 1 L L LiXWJER. Memorial. W. M. Lawton Shone Bright. Park Planted. Legionaires. Yesterday. Met at Lowell
? BU M N N B W XW ; / W M G N U Y 93 VUM XXXV ] N 6 M W M B M B M N Y M M 27 93 G W B U ( ) $78752 ( 92683;) M /MM 5 B 238 j59m B jj? j x U «B B $73535 B U x M B $25 25 7878 35796 5 858 9886382 $7353665
(EccL HUt, Mosheim, p. 40.) AGC3. Rgnres. We shall now proceed to show two things:
P K K P / P V -K VX - x K D K GFF G D G DKX X P P F D K 8 6 Y X X X P 9 ] K V Y 0 - D 00 D P F G K K PXVK P > G K K V v v v v PK P v D > v Y v D P > P v v - v x V D - ()zx q - & 9 K x K > % x v - - P x
LOWELL WEEKLY JOURNAL
Y G Bk b $ 6 G Y 7 B B B B - BB -BY- B Bk B Qk Q k Q k B g (- -- k Bk G Bk k q B - - - - - $ gb q g bg g g b b q )( 6 B 7 B B k 6 g k 6 B b Y k b - b b k b b b g ( \ bg Y b b k b /% /% b k b b g Y Y k
Summer Jump-Start Program for Analysis, 2012 Song-Ying Li. 1 Lecture 7: Equicontinuity and Series of functions
Summer Jump-Start Program for Analysis, 0 Song-Ying Li Lecture 7: Equicontinuity and Series of functions. Equicontinuity Definition. Let (X, d) be a metric space, K X and K is a compact subset of X. C(K)
ScienceDirect. ScienceDirec
CRX_ / CR X_ / Q Q Q Q : R J : / // / J : / / N K * Jk k G U U U U N k U NC U : R k R J R H k - - - - - H - K: R - H - - V V V R - V V V - - L L H H - - C L H j q C L H j q k k k X k R k k X L k k k -
Discrete Math, Spring Solutions to Problems V
Discrete Math, Spring 202 - Solutions to Problems V Suppose we have statements P, P 2, P 3,, one for each natural number In other words, we have the collection or set of statements {P n n N} a Suppose
6. The Homomorphism Theorems In this section, we investigate maps between groups which preserve the groupoperations.
6. The Homomorphism Theorems In this section, we investigate maps between groups which preserve the groupoperations. Definition. Let G and H be groups and let ϕ : G H be a mapping from G to H. Then ϕ is
REVIEW (MULTIVARIATE LINEAR REGRESSION) Explain/Obtain the LS estimator () of the vector of coe cients (b)
REVIEW (MULTIVARIATE LINEAR REGRESSION) Explain/Obtain the LS estimator () of the vector of coe cients (b) Explain/Obtain the variance-covariance matrix of Both in the bivariate case (two regressors) and
(1.2) Nim {t; AN ax.f (nxt) C w}=e212 2 du,
A GAP SEQUENCE WITH GAPS BIGGER THAN THE HADAMARD'S SHIGERU TAKAHASHI (Received July 3, 1960) 1. Introduction. In the present note let f(t) be a measurable function satisfying the conditions; (1.1) f(t+1)=f(t),
TUCBOR. is feaiherinp hit nest. The day before Thanks, as to reflect great discredit upon that paper. Clocks and Jewelry repaired and warranted.
W B J G Bk 85 X W G WY B 7 B 4 & B k F G? * Bk P j?) G j B k k 4 P & B J B PB Y B * k W Y) WY G G B B Wk J W P W k k J J P -B- W J W J W J k G j F W Wk P j W 8 B Bk B J B P k F BP - W F j $ W & B P & P
Some Identities in the Twisted Group Algebra of Symmetric Groups
Some Identities in the Twisted Group Algebra of Symmetric Groups Milena Sošić Department of Mathematics University of Rijeka Radmile Matejčić 2, Rijeka 51000, Croatia msosic@math.uniri.hr August 8, 2013