perm filename LS2007.BIB[T,LSP]2 blob
sn#637587 filedate 1982-01-17 generic text, type C, neo UTF8
COMMENT ⊗ VALID 00013 PAGES
C REC PAGE DESCRIPTION
C00001 00001
C00002 00002 . REQUIRE "ipub2" SOURCE_FILE
C00008 00003 .skip 3
C00013 00004 .skip 3
C00019 00005 .skip 3
C00027 00006 .SKIP 3
C00030 00007 .SKIP 3
C00036 00008 .skip 3
C00043 00009 .SKIP 3
C00051 00010 .skip 3
C00056 00011 .SKIP 3
C00060 00012 .skip 3
C00065 00013
C00067 ENDMK
C⊗;
. BEQUIRE "ipUb2" SOURCE_FILE;
IN computer musi@ A←]J↓iCGKLAiQJ↓C]CY=H
βCF+;?7,s?9β|∧bπ≡}]f"π∞-v'.>M⊗}pQ(λ-lλ_<∞
~9<d ~9z.L9λ≤∞-;Xr.
→<h∞MβP4jλ;0pP≥42P:[:4vp]2P24Ytz0vλ;2t4Xv2P⊗KFA:4→P1wf\8z2i α SOund May be transladed to an analog(rglTa`∂JR↓cSO]¬XAS\4⊃BAo%aJ@Z4ACfX↓MP∨I∧+cπ↔εc∃!βLqβ¬β≥#↔K↔zq↓αOL¬VNf≡-GJ@λ≥~
≡h≤z,@w0v⊂≠p|P1→P22iXy0q2YεA1<H7:vq→y9V⊂≥4:yP_v67kZw3P*~2P9w]w2⊂*≠P12P≠pw4`0ulated by the Computer.
The Involvement kf numbeR manipudation and theory ta`↔J↓iQSf↓H '↔d!β≠π⊂β ↔g|s⊃βSF(4+K, 3 /4 v $_{p⊗\8z2iλ9qt`%nce And muqic Alkne. The disc@%aYS]∃bA←L↓[CiQ∃[CiS
`
04T+;∨'v+↔K≥lrbε≥lBπε∂≡6N∨4¬π∂ε\8
,@4qpv≠<P0q[zyz4XyPP !re i@9Kqie%GCEYdAS]m=YeKH4∃S\A
←[akQKdAGα{7C?≡KS'?rq4λhRS#∃¬∪↔GWLε&.n]nG
εmx D∞<z3Lt_(⊂⊗Xqt4w→P0p∪ an i@9giek5K]h[AKeM←β∪7/$λ↔⊗*∞ ↔↔&≤>Vf∂-O∩h,∞&}F≤-↔&OlTπ&@h_
↑<z0⊃Zpw⊂+Z7P4`3 ngtaccustomed to @QQJAQ¬mS]NαβS-hSW;∪-∪GSπv!β#'~β7π∪O+5βSzβS#∃ε+cC↔w!βS#∂!β#∃εkWOQπ+;∪↔↔≠Sπ≠ ∧ε
ε=yWπ∂LZ"εNaQ&␈⊗LZ"π&t∞W≡
~Bb¬M Rπ&\9εvN<≥FgJ
x M≤;]→,D≤→4N≥{H∩.P7w⊂_P14jλ6wy2H9wv$YεE3y≠zw2 qifc@∀AQJA%`
βπe∪↔π∪Jβ∪π]_
≤<H⊂≠Zz4⊂*~2P6pXt4w2H0s2≥42P 4echniques
sith whi@
PAi↑↓[CMSββW3π&)β'Qp∧α¬π,↑7.n≤-GJε Tε∞g=tεF∂4λ⊗rε≤hfNv≡O∩π&t W/≡≤1PW>
_λm∧~_<d ≤X=md~~;$∞≠h⊂.∞≠≡(
<h≤m≥9≠≤d
;H≥
=λ⊂.,8+C!!"U~ T_Z8MM;y|L≡~→4D∞z=~∧
Yh∃ \z≠Z,<;λ⊂⊃_qusy≠zw2 d¬CGKLABAMIkgie¬iS]Nαβ∪'3.k7¬8hRO';≤)β∂?oβWS↔∩β7WOL∧2ε',≡w~ε↑≡V∞fO∀ε7⊗⎇Tε∞fD
FF* ≤&␈6U]V.wM→vv.D FO≡=~εfNlZ2`h.Mε/⊗T
↔
ε≥`ε}⊗M≤v∂&≥⎇bπ&t ⊗v≡N\F*π=yV*πL\6Fv≤<⊗bε≡4π>.MDε∂~ |Vv/,≥Bh-\↔&/-≤⊗g~d∧¬&FT
W/≡≤=⊗∞w4
vNfD W6.nNV∞fO∀εF∂lTπ&Z [πεf},Rπ&\9εvN<≥Bεf≡LWε∂LZ&(h-≥bε␈,LW∩πMtε7∞MO∩π⊗\≥FOVT∞FF*∞
w&.nM⊗∞b
xbε
∞ w>/,nVbε\XFO.UaPUε≥nε}NnM⊗v:∞Mε*π> V≡Nm_2ε∂,\↔~π⎇~FFNd∞FF*∞LV≡Fm≤6∞b m⊗.fN4εO~ M⊗66≤>Vg"AQ&∂~
~2π≡≤nFNvt∞FG⊗}\vBπM Rεf≡LWε∂NZ&*πMtε6Nl@λ∞⎇~8z∧∞{⎇<L<<h~ ≡Y(≠.↑z8x-A X<∞
~8x.M;{\ea C"JM→(_M≤[~;l@y0x$≡P4yP≤p¬t @U`ACG
←eIS9JAi↑↓CYaQ¬EKiS
CYYr↓CeeC9OKHAMkEUK
h∩+F+π&≥lw
ε≡4ε&@{≠⊂↔]y]⊂ ¬ qwz\z4qyE⊗⊂ ⊂4q64[sy0x~4ryK ⊂ ![vx7`3ition
so@→i`∨π⊗(Y112∪'∨O#π1β≡K⊂≡v≥APGπ-x6/∨=→f92Dαa4V|¬4Ml;_ K ⊂ )→s2y2[1ryK ⊂ )↑w:42\tyP*→qt74\zryK ∧¬αENtraeS u`≥I∃`AiQ∀AgkE)KGhA!KCIS9H∂Mβ∂∪∃β#L∧W,<Xz
≤x;λ @93v@→βafe@ICXAi<~∃gaα+∂'≠L∧2bε≥lBε∞L∧~ ≤Y=~,<;≠≡$ Y=≥l\9H∩.L9<h
|H→0_]pr⊂ 3peci@→SGSidX∩∧~)αAEE%K@→β>{K⊃β|qβC#*β∂πS,;?Ke∧¬v $¬ETo≥]~→.tyP*→qt74\zryKλ4yP )n order. ThesE
are pec@!]ScKα+@~π↑8 ,D≥≠h∞l<Z(∞M→(∀.\9~5∂∀≠yH ∀≤{p~[2⊂9dYβnal, a`≥Hαβ7πe∧∪∃β α-v@<αwεE≥x⊂4`.tk three Areas: 1. Additive (adding sinusoidal waves toe` iQ∃`R@~(d\Aπβ+ CK∞≠S'[*↓#@/<Tε}∩ M⊗ ==_;∧ X;⊂~→y9P*≠P1py≥2P0{X|P8 \8∧ o@_ABAg%H∂;πbH4)Mp∧∧`-{K;
≥Y8<D¬≥→0m
X8=,↑h≤u,=λ_<d \Y4.\αp∞c@dASOIUYCiS=\AC]⊂A`∨παh .t0p )ng)
So@5JA←L↓iQJAM←keGα+@~ε}lWε@_8λ
≥H_p⊂]2swi~pyW They are ListeD qfdep∧ACY0~∃CAAaP∨C⊗KπS∃εC↔π∪Ls↔MDλλN↑λ≠sMO(_;Mm⎇_= \λ≠p↔_pP;t]4⊂9bYP92c→y2w1YyP3)≠vP:4→FE7j~2y⊂ !reas.
~∃QQJA←αk'OOL¬vrε|d¬.∂≥lR∧⊗≡LVn∞d}2εv↑⎇GJπ∞\&fO= V"αuy⊗w'-|G.∨M→vrπMtε≡}↑∞W&/!Q&o/=_λeT≠8>$∞y90⊗H3v0y~w3P:≠P9wfYU⊂⊂$]⊂40yH12rgλ92x6_qrr≥tz4⊂≥42P)]90{w i7pr≤FE17[uP7gλ1wvx≥z2y⊂≠zyt`#, a @]←eVA%\Aae=OeKgLAoQS
PAae=[SgKLAi↑A JA[k
P~∃[=eJAG=[aeK!K]gSβ3∃βπv!βπ∂∨+KπS*p4);v+cQβε ∨∃lhP .skip 3 64⊂\AgACGKfbv~∀8AEKO%\~)p∧ε≡9]→.≥FE∩M`agjTh∧ICS
.e@9Hv~∀4⊂ ;O↑KA↓Mβ1PBw>λλ,<αyP_NF@
.indent 0 _`0`v~∃ CGWkLXA+|¬εrr¬uu&FTλλ,=⎇<p~~qpv⊂→αh∂k]⊃CiS←αs@~ε|dεo/=_λe@↔P⊂'→{P →@=` -D
r`*iH∪M}]≠p↔βE∪⊂![Tε i@9FTXAα→Ee]8¬Bβ α-N%@∧¬∀~(X OC∞≠↔M↓α ∞aQKZ0↔→2p∞tfP⊃Ac↓`_h*MεO~
_ d (→{m|α⊂ @ CgSF↓S]i@⊗{∪@.>M⊗}r∞Mrε@=<p∀XP0q`/usti@
`
2∧ ↔"ε≤4π=8εx&≡P0w2λ1v2`!p¬P∪@⊃Q'?⊗α8
:→w↔⊂⊂∃42P "ook @%`
β∪LεfN→9⊂~w:7P→αh∂kdαβCπKαN2`$∀_<ND⊂∧P 0p¬P∨[L∧F/~ ⊂λ @p¬`≥Kβ∪π04T∧&∞≡<}&␈.l@λ
≥H≤∩∂≡z8p→H0p∞d↓CG←KMiSGf0A`∪K,∧↔&NβY`⊂≥4q10]4p∞g↓`∂gO&+7MDλ
l≡Y<h ≥Yβ"N|=Y(∞∞Xπp⊂@¬H∂πSL¬vrb ≥f"ε=x .
α2| vibbati`∨]LAC@; ∧π,<{p↔_w1rWλ⊂(0y≥⊂ I deal@LA`∨'&@4+SF)βK↔≤∧Wπ~;p↔λ⊂7s⊂≠zyt`#al s@=k]IFZAiQ∀Agi@↔+∂SW⊗)βπl@λ @8¬`≥Gβ#'?9∧¬v $≥~→$
≥;8-aα@
e@¬`XAC9HASILAaKe
KaiSα{9β?2βS >lTπ∂.≥H
.O+λ⊂∪≤αeq`+α+;∂@∀λλ-lλ≤⊂∀]1t⊗⊂_w2⊂ )np KeYCYf~)C]HAβ3πK≥x
.v8 @Qk]KHαβ@≡≡≥H .Tε Part III e@aaP∪?⊗+@~πM Rε.β]P∀\αh∂][∃]`⊃↓h∧ε∂.M_
}X∧p∃@4~∃C]⊂Ae@?|¬Rε∞=x
.z4q`3,∧A!CIhA,Aβ#@⊗.≤¬≤d ~9P∪→y2w:λ4¬us@%GC@1∧¬⊗w∨L∧]-\αp∞ts (inclp ISαs⊂_hαY0⊗→qz0∩onic @%]gi@↔+7.β]≤e∀_;Y∧∞α42P≤90∂ductio@8AP∨→∧¬W/≡≤8λ-D≤{p~[29W The@IJAS@~4+πp∧ε∂π X LM>λ⊂↔Yα po@]KefAα{⊂∩πLX D 8π2 pπS@7∧¬F*εMx l≡X∧p∀hms _Aα ;⊃βλπ@∨.-( ,>λ~0↔→2|εE_z⊂:4→P2w2 α An↓KqiKαs@≡OlTεfO>@λ
|β⊂92Yαere@9G@↔M∧¬↔4~;XmNαr2`$ at @QQJAKαs⊃β?2β↔π∂@h ⊗≡ ≡π&/%`λ
M~8 P_4πok↓`∂#?α]F @ ¬12H9zx 0le`≠KαsS↔⊃∧∧'Jε≥lf␈⊗β8=
≥{H⊂∀[1v0∃@⊃K@⊃βL¬bπ~→(
L=→0→λ8πo`%,AErA K]CI∀Xλ4!Q"`.zz0_λ→]FE αspaces "βX4);L¬f&.β]⊗¬ πF@
Benade, Ar`)!kdA⊂αq↓↓uxg.vL≥V.wL≥G4≠yH ↑<z0⊃Xv⊂ q[zyz4XyP∞/ New↓3←eVαaα?@ h n2⊂εE∃w0 `-α+@↔≡≤¬≡$
≤Y0→\β(λ@@λπ∪ 6β↔εEβE↔9`0aces 2;
.inde@9h@fX@X`v~))QS@~β'Mβλπ7?K*β∪↔S∞K3↔⊃∧∧⊗v" 8 m↑≤Y0∀→w9t`6e t`%∃Ci[KαsQβ?2β7WOL∧6∞b ≤6␈/>M⊗∨~βC"I≡λ≥x.P;p∩itp K\βCfABβiKqi ←←VAβ#=β¬∧∧6␈/,∧p∩K⊂0w2λ8∧he cha`!β#↔KM∧∧f}fMx
d (≠⊂↔Yβical
prodπeKgβ≠'?9p∧α∧Xπp∩thi`&↓` ↔πα8 meλ~0~λ4yP $i`
MSα≠W3Q∧εFzπ=_ L@v2P /ut i@9ISmSα#WπAQ&≡F≤∧⊂~→y9V⊂≤βi`≥Gα)β /\8
∧
βs⊂ 4he requ`∪@⊗+⊃β'v3?K\≡FN}dλ
.P4w1[8¬de@⊂AS@9∧∧V∂⊗β~0∩\αλ
+≤¬ε∂πLX NTε The book i@LAgKhαβWAβ≤¬⊗nNβ_<MO(≥≠d∞α42P⊂αackupεP→α4εVv&≥\Vw_;λ
≤α2pyCE0p∩e p eKα S↔⊃∧∧fO↔>@λ¬T~;<∞]≤z0≠→P9w`5nds, p¬K@3∂#'?;~β?2∞8 n]Yλ⊂⊂[2⊂6w]4p∂n0~∃Me∃ckK]
S@↔M∧∧⊗v" LV≡∂∀λ l@⊂1w`-ph∂gSβ#∃βO|εVv'5DπεOL8
¬D_;Y∧
αp∂depεA←L↓←gGSαc3πSL¬vrpQ*fN↔,≡FN}n4ε≡∂↑8 ,D_Z(
≥<≥0⊗≤βive exci@QCiS←9`
↓∞:G-8¬t`.dεA←DαβC#W≤¬6Nvu∀ε∂⊗QQ''⊗\≡F.λ→P∀\αst, then↓`∂gO&+7Mβ∞≠S'[∂#↔" /∩π⊗↑λ .M=~0≠→P37`2c` fAα C∃β,ππεF},V"pβ"TM⎇{(⊂,=⎇<p~~qP8 2inciples Are depπGeSα∪↔↓Dλλ-lλ≥~ T_[p↔Zβ endpεAoSβ#!β∧hS∪↔S∞K3↔⊃∧+cπ]_ L≡~;sD
βs⊂ 4he vapigeS ifsTp¬`↔↔,¬g'~ ≥f"πM VO∩∞8 n]Yλ∀∞
βr0∃@
iSO\8~∃∪]QKeKgβ#';∨eIβ↔mx
,@t⊂ @!JAI←α+@~εmx
∧ >≤⊂⊗≠y2P %lectronic musi@ AC@; ∧εO'1Q'ε@⎇→0↔≥4pv↔λ⊂)2`&erences are g`%=kaKHαβπQβ&C∃β↔v!β >dλ ,≤zλ⊂⊃Z0x:2\⊗⊂0w→∧¬∃C8AKqi∃]gSMα)βOW⊗S↔∂Q∧¬⊗v&←εO~
_ L=≥9→,D_9⊂≥42P %nd o@_AaQJ↓E←←V8~∀4Rs@≡↑≤∧β∪XQ%g>_8p∩\β 1;
λ.andent 0,0$0;
Mo@=` ↔Ip∧∧V∞β90→H W⊂ ¬)tsw_v⊂8 2oces@MS]NAα @∨ε\8
∞P7s⊂_wvx 5ter @5kgSFZABAβ≠WK[,π∩`"β
/,π!e←α≠↔.M_ L@yP7`& p QJ↓∪
<XA-←αa0∪3UDεv@hπ⊂_QβkNαq↓E@⊗p
e∃β⊂8 0,∧bb``Zbbf\Xλ (α@ ∀p¬e @∃]`∪Kβ∀π.vLX Dλβbg"T f⊂+SβRK@&8,⊂∀!Q"`.zz0_λ→_
,¬gaC
Kf@@λπ0hRm_ LL8π:,⊗_⊗_∞β
∃'β#@⊗∂⎇` ∧ Xπt7 ⊂2r. ⊗⊗Lexic@=\A←L↓C]CYβKk↔⊃∧εF}v↑4β@$_;X-O<z0→H0p∞dph ←@'#';≥∧επ-βsp∩ams
@ rA+∞k↔Mαλ¬b∧nβ{p→→y⊂0w→⊂
o@!\A∂@⊗+e 2λ∧_.8∧ $βQα∂3∂∪';↔ ∧ε∞vDλ l-βrP 4ones.⊗ ≡←
←[akβ#↔HQ)W/≡≤4∧V@⎇<[L≥λπV⊂∃αol.DXA]↑8fP→β∧εα`&,K →∞Tε ⊗⊗S` JAα+;@',ε(∞]Y→0→λ)lg*∩ ¬SIS TECHL¬∪#+∃&P_XhP1;O↑KA↓Mβ1P@%H≤p__qryP ]FE↔λ12st[∧¬∀\αβ∂.β]→.≥FE∩Ma$a&∩dπGRAPH@∪π¬_A/∨I↔&~∀9K]Hv4⊂λ (αKZ-l→;]∧ελε→V ≥FE∩LY↔⊂↔KβComputer↓C]HAα≠?;Sα-vbε≤.7'⊗≤8
∞Tπ An IN@'A εAaβ+ &≤8λ.M8πw. ⊂ -≤∧6N8π1`% ab`'β#@⊗∞>N2`"@εE)Yy0 e@LAε@9∧c?;∪|¬bb∧α;\nM=_
`4ion @=H α↔d∧V∨'-_λl≥λ⊃0↔→βi`≥Kα+@↔~ <⊗v%T ⊗w∨M_
∞↑→(⊂↔Yα
Electrical & El@∃Gie←αs'
α,¬f =8π2`%p¬f@1∧K;
eIf/: →w-hε⊂_NY≠⊗FB∧@
.SPACES 20⊗~(X
&:$*0∃"ε5Cαc∧εc!
~~4d
<h⊂∩↑1rv ,ent @¬]HAGα{7CK,C↔;OLεf*ε≤.7'⊗≤8
≥Yh⊂→→ywr`2c`
Ao!SGPAαK;∂3,∧F/_Q(
M}<[X-Nhε⊂ 2epobtq(λAE=←WfX↓ISgg∃` @&≤M⊗}w5Dπε∂LX NNiλ⊂⊂[2⊂1`/nference @ACaKeLAakE1SgQKα 4+≥`λ ≥≠λ⊂⊃[zw:9~p¬s @¬]HAY¬]OkC≥KfA←α1βC#*β←?Kd!1αO|¬V*β4∧@⊗ __⊂ )tems are Abstracted
eacH year,∧@A)!KeJAαK@~ε∀λ
≡⎇λ∪l@⊂0p 0rkp⊃SαkπS↔dπ∩β∪uFββα
( n↑Xπ0v≤β inthe areas ob
PhycIcs _A∃YKGiISGCX↓K]OS9KCeS9NAC]⊂AKYK
ie←]%GfHA¬]HAπ=[aki∃dAC]⊂AG←]QeP∨0hS∪K?jβ←#'≡AβπK&K∂3↔~βπK∃¬≠↔3↔≤εF."aQ$}H≥~ ↑y+λ ≤[⎇5∧εmHλ ≡Y(⊂,.⎇≤X,>→9⊂_wvx6→z2v 9. The monthlq @%`∂OW-→β';≤¬G.εQQ'∨.-(V∨" ≥f"ε≡X
|H∩-l→>→.5β⊂⊂)]q9t`$iary
indexes are iNcluded when ap@Ae←ae%CiJt↓¬SEY%←OeCAQrAS9IKp@!CeiS
YKfA
←]iC%]S]N4∃BAg%O]SM%GC]h↓YSgh↓←DAe∃MKeK9GKfA=` β N∪3'??∪πC#JImα |{ ~ε≥lF/C4λ6␈↔
z&∂&T ↔/&
} hV≥lF/B¬
⊗v≡N\F/~∞,Wε␈.N2ε∞l@πε∂LYg"ε≡:6N>l\W~K4 ⊗v"λ=vv6↑,Vv≡T
⊗v&←∧αG>≡Mαh.,V6/,]f≡/4∞Fzε≥lFO6≤NV∞b∞ ↔ε/.5∩h(>Vo.L≡FO6T∞7.⊗,\7"ε≥lBε∂↑Mε␈∩
→f&/ ↑2ε∂,Tππ.-M↔∞F\Dπ'>≤<Rε
∂≤V∂∩d∧hUM Rε.nN&N/4 ↔⊗* M↔6NL\BεNnMrε≡L≡7≡/4 ⊗≡≡},FNvt∞FzπM Rε∞-}f*ε≡,V∂~aQ%&FT
⊗v6}-V∂&≥⎇bεNl=G.&\DεNr∞Mε*ε]nG⊗N↑1PVO4λ↔/&
}"ε∞l@ε∞6m≥FN∂M≥vrb
M↔&FUD¬≡␈↑,6*ε|dπε∂ Z"bε≥lB∧∞.>G⊗∞>Dπ>OM∧hVn]V⊗/$ v"π,\f/⊗]l6/~¬∞FFO4
↔~ε↑>ε.≡≤≥FgJ
Vgεn]Bε6}$π&F}<Rεf⎇⎇6Nvt f␈∩∞ ↔ε/.1PW>≡Mαε/∞LVw≡≡lRε⊗≤-FN}},↔εF≤4εn∂L↑&N∞E∀α¬& Tπ∨.-,V∨"
≥f&/∧∞W≡/4∞FF*∞LW⊗O4 gε}QQ'&FT ∀u≥λX2¬& ↑6∂/.↑2rαλ\⊗≡B ]g'↔∀∞Vv&↑$ε
π>\&V.>DεF.≤M⊗v:∞>F∂↔N4π>OM∧ε
ε<←↔>␈,APV␈$
6/J∞
π⊗∂<Tε≡}n=⊗&/,\Bπ&tλ&*ε]}7"π,YF/6≥nBπ&t∞FF*
V∞&≥lrrα
Mε*ε≥lF/B∞8V.o4∞Fzα↓Q&⊗* ⊂εFN↑,↔⊗≡∂∀ε}2
<WO>},G~pQ!PRw==↔αβ71PRu:λ∀≤-4ε∪Xh%m⊗v&]nBβαF¬CβXQ%rmπ-|6..M≥f?~
|bπ& T∧NwL↑&v∂M≥vv∞Dλ6}o∞↑F/∩ ↑W≡N4λ6}vl↑&.v<UB¬∂\XVw~λ=vff\|PhR mw2rε∪∪Cα∃qPRw> ⊗≡/4ε#Xh%m⊗v&]nBβ~F¬CβXQ!PT∞NMε␈.⎇∧∧Jε ≡f*εmpo`'α+@↔~βk@⊂∩w{p@ @πSi@JaαWm_
L↑\z0~≡P7s⊂∩w{p@ Pres@LX@br`bP_Q!PBw>λλ,<αyP→∞β
∀]%]IK]P@f@1αaAl4U##'M∧∧&N⊗β~0↔Yβra`!αCeβ'α4π6∞β_
`!bh JX↓E`↔Q∧∧∩ε⊗α8
p¬KgiISGiKα!β'dλ
.Nh≤p⊃[x2W The @¬kiQ←β⊂4+παλ ∞4πac@!KfAi!JAMSα+3⊃β4ε&}j∞Mε*πm_ .}≠z0↔≥⊂7s⊂_P1w`-ph∂gKβ⊃β@/=_ L@P0P #ompu@QKd\~)'QJAβ##↔K,∧f␈⊗Tλλm⎇Xy0↔≥90r2\β on↓YKgf↓iKGQ9SGCX↓[CiKβ∪'πL5bα∧α;XmNαr2`$ are
λ¬E@?|¬7
B ≡'&N=H .T∧ dipπgKeQCiS←αs@~ε≥lBπε≤∧⊂∩\αs c@=mKeS9H
βSF)βC↔⊗K?↓β4ε&}j∧⊂∞&Vβ⊂:7CE%0w α 1979( @A5←ghAα+;CKL+@~ε≤,Rε∞β[[nL=→1¬D⊂(∀n\XY0⊃]⊂4w2→|⊂24\2qz9H:42P≥yry tk
@QQJA]U[EKeLAP∨→∧εFF*∞λ M}→<@⊂→w:94YyP∞ Tjepkema also lIqts @
←[akQKdAC
` >o≥W_h-→bε≡⎇]V}r∞Z6*B∞9vn(_p↔[x:z2\⊂6pw≥pεac@QkeKeLAoSi ABAa¬a`∪'∞aβ∪↔≤∧7-<≥~-⎇H≠p∪λ:42`)p∧⊂∀,λ M|≥8p~≤β(λAC9HAgiUIS@?~βπ;⊃∧∧6.wLX NP7s⊂_qz4k~z8 .A)QSLAECE1S←OE¬aQ`%∧ε6F@⎇;⊂∩λ12FE≥yrr in c@=]Uk]
iS@?p∧π>OMλ∞M→(⊂⊃~q24`/dπeCAαCeβ'v≠3@.LX ∧
8π⊂ 4he p@I←GKKα#';∨~β?2∞Mε(hαR0↔≥2y70]4p∂nal Co@5a`↔S,ε"∧o↑8
,4⊂{p↔→2y2`.ce, Qu` K]LAπ←Yαc↔>T¬∧`-β{↔ 190⊂@αH4(Q bw==↔αβ4εc!↔⊂9`0aces 1;
. beginλ
)pπ∂.β]→.≥FE∩Ma`∂MPLπ'&$J0≤@H⊂ gQ*+`i⊃F@
.end;
.s@-S`@@⊂π0hRn8 ≤y<hε↔c"KM≥Y→0↔≥⊂_⊗_ _≥FE⊂αuxton, @/%YP∪'∞i0∩α¬uto/=_λd∞{yP~≥py2P≥yry'pεA[C9kC@1p¬rα¬Mx M⎇]≠k∧ {]_.4p∂, @πC@;∞#¬ Q*VvOlX Ntz0→ o` A&{@⊗}nMrb∧α]0↔→P→~, 10∩pβ 0⊂hαC"E@9x0qYyP⊂∩l~∀]Sαs∪↔n@ ~@ πF@
This i@LABAkβ≠↔Iβn ;@.≥Dε -|H⊂~~2P9`/d¬ioCIJA←L↓iQJAαkWO'~β@∨O>LVjεLX
L]≠xλ %d b`2↓'''4⊂ "O'∪W∂SαX L\α⊂ ∪ound SynthepπSfAA` >,XλnE(_=∧∞α42P∃w0 v@∃` O'αO∩ε@yH∃
}Xπw:≠Tε Incl`+α#↔ Q(
.P0P $iscu@M`∂'⎇`∞}H≥~ T→~0∪→αere@9hAae=H∂Kπo→βπl@∞F@⎇h⊂~~2|P )np KeIKYC@&)0∩αλ¬~ Q ¬0⊗@¬` '}X d∞α2q`(niq`+∃`
βπv!β∂?w3↔;SL¬vw~∞,W∂.α8 2Y⊂:7P~w:2`2act @]SiPAβ##∃β≤¬voπ↑LW$_8 2CE22`3cr`∪E∃HAgi∃`AE@Jβ@∨&↑¬bα¬M Rππ-x n0p
s are @⊃KgSO9K@⊃β&yβCK|εfN→(⊂~≠wv0∪ th∞AI∃CXAo%iP~∃α#↔6α;Z-lh_;LD→9~.M8π3@=4p
bres _Aα#↔6α;Z-lh→P↔\αh CX↓[kgSα≠π1β≤εG.αqz:\αes (i(
J\β`∂∂?α,W5+β"M}Xz→.z90z~w3P 4hese pπG←@⊗+@~π↑M⊗fO-_ L@P22`&ined↓iS@7↔∪↔MDλλ-lλ≤⊂∩\αf`∨@⊗k';≥∧εFF(β"P→→yzv 4ing @
←[a←β≠'S'|¬b`$λ⊃~ T≠8;N\8ε⊂ )pεAE@⊗{ ≡8π⊂ )n to pπ@↔C∂∪πS∃∧εG/&|-⊗∞g4λ M}H≥~ Q ¬4`.divi@⊃kC@1∧επ-βsp∩ams ≤AQQJAMαK@↔∨Dλλm <≥→.⊂:0∩eats @QKGQ]%GC@1∧∧F/&≥_ ∞P0w2λ842P≥0y4`/us
@5kgSF↓G←[[¬]IfA9K@↔∪,∧BεNβH⊂~~2P8 2o`∂eC5bTA !KeJAαK@~ε∀λ
≡⎇λ⊂↔Yα re@→KeK]
KfACPAiQJ↓K]H\4∃≥KqPAG←[∀Aaki=aSCYLA←\A=
*⊗ ∧αF@xZP∩Xz⊂2`$itor), SCRIP
α@!KeCA!SGfAMG←eJ↓KISi=` %0hRN∞⊗ ↓#πL∧∩ ≥];9.4qP)Xwy2P→r4z7\α), PROD (compopπS@;8∧ππ⊗|}&∞j∃Dε∞vDλ4l@Q∃0jDβ"J∞ <YSn4¬ance proeram SCSP puBlications are Listed at @QQJAKαs⊃β?2βS#∃∧kπ;W∞a0 (!Q"`.zz4∧εL¬FE αspaces !l~∀]Sαs∪↔; ↓A1Ac↓l4*n S#↔?→1α↔∂AαY9α↓5 =M Rπε\8
m{≠yo∀≠yH ={<≥.L<H⊂⊗]ytqW P⊂&p\βsac@!kgKiQbP⊂4Ti0∀JhEbππ,Z7
B∧⊂∞&G+H¬Bjy9( ]]_↑$∞8π22\α GENERAL UKRKS⊗.
.skip 3+
.spAcas 1;
α.indent 0 _`0`v~∃Q` @.∨ ∧λX<\O∃β⊂⊂ ¬ P1`/mmunicatiOnad @¬aae←¬GPAi<AG←[AkiKd↓`∂?Wv!βCK|;Cπ↑5a0h%utV␈↑-f∞b
x D =<r,4∃~→-}↑+ d
Y{ DεL λ
miH D¬ .-fE+H∀∞¬LLEeVl AQ@εE↔≤βpac@∃`
↓IXh!;'v#↔;Qβ→1A1βX4*SFK@~ε≡4ε
ε⎇x lD≠x "\αp
@',εrε@yH⊂~~2P6pZw⊂1`/mpo`'%iS@?v 1βO|∧g'x8 2H9t4`#h had bee@8~∃o@⊗KS@&]`λ∞↑λ≥≠d∞~→(∞M8εrP≠pε the pu@ YSGCQS←\Aα{⊂∩πM Rε∂,¬~,=→+@⊂λ*92`↑⊂9z0\αp f~)←khAβ;'S!∧∧⊗rε≥l⊗gO=_ d
βs⊂ 4he p@I←E@3,¬W4→X8m≥Yh⊂~~2P1`/mputep∧AG←αkC ?<X D∧λεV@
understanding a`≥HαβWS'd¬↔VNβY`⊂~z9P 0otentia`_\α↓α#∃∧εFF.dλ
∞0qr`3 phe deve@1←a[KαsP (α[p∪λ1wvx≠ytr4[w0v⊂≤βoftware @MiCe@&K;≥βL¬bβ α--$∞βtz4λ842P→αir`'β!β@/<Tε}H≥~ Q ¬1`/mputep∧Ai↑↓K@↔≠,ε&∂&TλF∂&∀λ M}H_p↔[92w:~ww0vλ9qw`2es ≤AQQJA[¬S\AaI←GeC5`
βπ⊗(4+∂|εf/⊗\@λ ≥Yλ⊂⊂[0r0→ze` as to @!←nAo∃YP⊃β&C↔eβ≤∧W.β2P 4he nee` fA=H βSF)β∂?oβ?O↔⊂p4*SF)βπ ⎇3∃β'~aβ >dλλm}<Xp∩K⊂0P "ui`→HαβWAβ&yβS#*βπWSF{A?4λ n⎇H≤sl@8∧ware pachπCOJ4⊃!> ¬bα¬M Rε@_8 `4 40 PerceNt of the @¬` S'≤c∃β'~β∪↔[|εF.λ≥≠d (→→.L8∧v %d deScr`∪@∧εFN}aQ&}H≥~ T∀∪q∧∞|8p~→vP7`& intep¬CGi%mJAGα{7C?≤KS'∨p∧ππ⊗|}&∞o4λ⊗v"
w:πM WJπ<X Nl!"P⊂\P0w inte@I[@↔∪L Ceβ⊗+S@>\X D {{<
}y<@ ≥Yλ⊂⊃[vx:j→y↔⊂⊂∃42P &inal q` Gi%←]fA=Hλ$.Mε*ε≤∧]
≤{→(∞NY8=∧∞~→(∞∞Yx[ ](≠p∪λ92pv z4vrH9wrw→⊂9|g≥42y`)pε@@#Js∃ 2∞Mε(h.8
.Nαpz4[w⊂4`. whi@
PAiQ∀AG←[A←gKd↓SfAC YJAi<AQKCHAiQJ↓g←k]⊂ASK[∃ISCi∃Yr4TεWε}dλ -n→<Z-lh≥~ T→_= ∃(λ∃
(_=.M≠xH∞x2qj[0z2yH7w⊂+X|yP 4o miNimaz@∀AiQJ4∃IKYα eβ∂∂+O↔⊃∧∪eβ∂|¬Wπ=→0→λ897aYyytg→β of data. Ref@∃` ↔≠≤∧W4_<Y$
~<u \λ_=∧∞~→#!,;Y⊂≠pε the abticle, fgl@1←oKHαβ eβ∞qβ↔c&+;O'4)β π⊗c'?∨⊗ C#@∃aP@! ¬↔9Ztx⊂→NFA↔9\0qr`3 10⊗~)'GQ←β#SOS∞+∪AD
vNfM_λ-Uβ⊂ ≠⊗⊗The compOpπ@↔I∧∧'.Nβ→≤d (≤⊂→≠qy0vK (
,εP≡∂|¬Wπ=→0→βE&ziZqP%']y0∞al,ε@@#λ∧π>␈-0λ
≥H≤∀M||Y4n∃ εEεB↔9x Xp¬s 29
α.indent 3 _`0`v~∃QQSfA¬` C'≤¬F*@λ≥z
≤zλ∩ ≡h_Y,]H_8l<αx:2Y⊂37`2 publicadion i@8AaQJ↓β←[aUiKdA5kgSF4⊂
+|¬0→≠0p @5CrAo∃YP⊃βF+@⊗∞β→⊂_P72`7 p eKαs⊃β'p∧ε≡}↑λ ntz4`/na`_Aβ≠? S> C∃9ααWAβ&yβ+|¬`⊗λ∧¬∃Gα{7C?α9↔&Nβ{@⊂≤90∂grams @!CmJAα∪↔.βH⊂∩→ytsw→p⊂:7H9t4`%ld the co@5aP∨O,ε"ε∂4λ .\zλ⊂⊂\FA0 /pπgSE1JAMe=ZAQCYS]NAβ#=β∪,∧⊗bπ⎇_
∧≥~→$ {{<∞↑→<CD∧∀xp∀≠z:1`4a` IHαβ? ,XλnNc"P~≠P:44\β a`&↓EKS]≤AWmKβ∪3eβ∧ε&␈&\8
≡Y(⊂-lλ→≠n⎇\Z1m∞α⊂92\z94`#tive, since the
co@5aWgKβ⊃β /↑8
∧ 8xp∩\8∧ the li@5SiC@&K?;MbβGSK,∧7'<Y0→K⊂0w2λ50y3[w⊂4`-pkse@⊂AErAβ##∃hS?K≤⎇⊗v∞ββ"N∞Yy|L≥(→→.tsw2\↔⊂⊂*~2P92\zr2 is a↓]W\[AaWOE¬[[CE1JAYC9OkCO∀AgQSα≠!β7∂Iβ ∀hSWO↔ ¬Bε↔↑@λ
mβz⊂ -oldeD,∧A'GαC?SS≤εF∞9→ L9;∀d∞~_=∧∞~→0→→P9t7]v2⊂ "e mo@IJAISβ∪↔∂PhS';S,ε&∞∨M_ md_Y0~≥prw the @5CGQSαs∃βπv!β@& Tε≡}↑λ np¬r.~∃αAβ;↔31∧¬6v←⎇`λ ={<∃.L<H⊂⊃[vx7`3er with an extensif@∀AW]←β;3↔∪>(4+|dπ&FTλ M≤αp d0AQJAβ≠↔Qβ∞∪?WQ∧εw-=~0↔→β so@→i`∨πα,Rπz~0⊃Z⊂;w`5ld allh∂nAβ##'Mph ∀FTλλ,L<≥→,D_;@⊂→|:0w≥⊂εE (i`∂PAαc↔[↔bβ3πl}V∞y(⊂~≠P:42H1wvx≠yry'pεA]Kα+∪MDλλ-lλ~0↔_y2pyYp∧ i@Q`
βW≤∧V .αv72\βs
@ rAi@⊗ ;O3∂#';≥∧¬W.≡∧λ l@⊂:42H4εumep¬SGC0AUC@⊗;?9β&yβ .βY0⊗[w0 c musi@
CXAi∃` 7LhSπ;⊃∧επ,+8p↔[x4v )ng many o@_A`∪#*β∂?7n{9β∂|¬Wε@|z0~~ww0vλ8∧ec@!]Sc@.+@~pβ"U
(≤Y.zp `)%]NAYα ;∨W∞;∃β∂∞qβ∪=∧∧↔4≠=0⊃Z⊂7p∩as l@%i`∪3(h ⊗∂4λλ$ {{<
}y<@≡|8π:9Kα He h C@JβWO∃∧εFF*∞λ LUαqw`-pi`→Kα!βCK|∧6.≥<Y.V⊂8 2o`∂eC4AQS@~β?←8hSCK|8 ,Nαy2`3, o`$βQCmJ↓C\ASαsS↔K∞≠S'[*β@⊗.β_=
≥{\p∀~x⊂12]8πee@8A`∪#*βS@>uaP@)8πp∪t asp@∃GifAα{⊂∩πM Rε≡⎇↑ε␈≡≤¬~-⎇H≤p≤\βtemmay @ JAKqQK]IKα!βπl@∞n}M_ M≤αr↔εBαA`≤Aα ∪∪↔ ππSSα,⊗∨&≥x D
<h⊂⊂H3y0x~4qyP≠y0 e@9iKHAαkWO'~β↔&≤¬≠n⊂;t4Xt⊂1`!n prodp GJ4⊂ π .SKIP 3 64∀\AgACGKfbv~∀8AEKO%\~)p∧ε≡∞nLWβXQ$S,$α1r*H3λ∀i_qP3∧
∀SphZtr3Hq"KY-l∞c"AQK\zm≡λλ@≥CE↔9x_qryP ]FE↔~w22`.t 0,0,0;
RabiNer, LawreNca B8AC@; ∧∧>}L@ ∧λY<[L≡Y @⊂ TπTheory @¬]HACAaYSG¬iSO\αβ? β&K⊂≡OL≥@hW=_ ml8ε⊂ 0rkce@McS@;8¬b`4⊂π2`7 Jersey, Prentice-Halh _@Dr`≥Uph (αK\n 8y0→H→_
,i`≥I∃]`@f0`X`@Xh" e∧εFF* ≤FnO>8
-⎇H≠p∪λ:42P_zz47\9R⊂ 4his Book @%`
β∨, K↔⊃∧εF␈>≤,G
ε≤Nf∞v<X ∧ |X9∞\=→#!,;Yz-l9<Z-lh_p↔]y9r`3 a`≥HαβS#∃¬β@⊗∞>M⊗≡NβY`⊂→w3tg→p¬r.A∪hAα @∨∨]\W4_;@⊂→|:2g≤t{2FBαbacKer`∨@,¬f"b ≥f"ε≤4ε∞r X n≤αp∞tial sOurce dh∂dAβ#↔∂#vK∂π∪eIβ/KL∧Vwε\@λ ]Yz3L\αyεE≥t7P+Zyt2`3 to @Akegkα)βS#*β↔cS⊗+7* 8λ. 8Z0⊗~z4ryH5s⊂"~stz0[⊂9t`'na`_AββK/∂,ε7=8π3@.
The farst 7 @
QCai∃afAI∃CXA[=`∂S3Jβ←'S@β@≡N⎇l⊗bπ∞-v≡<|p∀[3P:4→wy<P P24iXy2z2Kz4vrCE24g→py⊂ 3ysteMq(λAMαK;'S*β∪GK∂#'?9∧K7CWdε6*π,Z7ε}n8Rε&≤⎇↔&∞βλ⊂∪~v:2`2q( i@9ISMSβ#∀4 LkCG∪≤∧Rπ⊗↑8
⎇\y( M9z5 ≥λ→R-Nα2y9K⊂34`.ite Word @1K]Oi AKMMα+∂SM∧¬⊗rεM_vO&≥APF6≥H
↑\kλ∞x2q`4p¬`↔∃∧ ;πLε4m≡h_;LD≥~→$ X8p~λ!0∂e@IS@↔I∧εG,8π9s≠y0
, and Two%dim` @;≤¬⊗}v≥APG≡≤⎇f∞b∞λ M|y<tm≥Yk@λt0p⊂@QKef@`ZbbAQ` ↔π ∧ε&N⎇_
≥λ~_.,≥x<LUλ_;LD≥~→$ X;X-D_z_.∞α2y9CE22yXy0 be app@1SGCi%←]fAα{⊂∩εM_vO&≥Dπ=9{X-D≤≤[l<<|p∀[3P:7H9x2`%ch and radar.
The @ ←←VAα≠?;OLε7'~
]w>≠≡(
|H≠8.M→;8.M8x;∧ Yx[.]_8 P_w2⊂#\αaphs,∧@A%∃IKeK9GCfA¬aJ4T¬FO∨LXBε∂Dλ
(→0↔→⊂7s⊂→pqt cha`!β#↔I1∧∧⊗v"∞Mε/⊗T ↔4_(⊂→Z4πrd↓`∂W T∧V∨"
_ LL>λ⊂⊂]⊂:42CE2w2λ4πf @QQJAE=←V@8hP4);≡['A↓⊂π0hRn:ε∞≡↑4β XQ%fNvLX ND ¬F∞c"I]{|Y%D⊃KTE@⊂ [⊂4w:≤4πd`+α≠S'∨p∧π&@h≥~ T≠8=
8εpz~qyP /d∧AISα;'Sπbβ@≡N⎇l⊗bπ∞-v≡<|p∀[3P∃⊂βE80y≥⊂ ]⊂_v3ra≤αa, @Q` '∨|¬f}n↑N'J@λ_;LD≥~→$
8πq`4 beautifu@0AM@?⊗kW3¬∧¬⊗rε\≡FF.β8=
≤|kEAQKkpm⎇<≥0~→y⊂&z\βic Journal/$ Vol. II(λA]<X ↓Ep∧αππ¬b3BkFeb↓EP bYP2w:≤αy uNder
SYNDHESAS T@ π⊃9∪#+ LX$
∀4⊂]gW%`@dv4∀]ga¬G@↔Mβ l4 vK;∪↔w!↓A⊃αaAl4Tk??K*aα→:⊂qHZ∞qβ'≠'∪?βW≤εFN}dλ
t≥~→$
8=~ ]8=~,>h≠p∪λ24st]0r⊂ 3ignal pro@
KggSαs⊂~β!Q'ε∂,@λ →,H⊂→Xvx6 )ng, @Q` πn<f␈⊗β<k∧ 8π2 digiTal f@%Y`∪↔⊗K;≥82↓↓=≡≤¬voπ↑LW∩∧↑↑6N~↓Q$V←↑-f∞bβkλ
M{ @⊂∩dV⊂'≠W⊂⊂∩∞ pp.38-&0. ⊗⊗Sea eNtry UnderSYNTHESIS TACHNIQUES,⊗
.SKIP 3+
. spaces 1;
. begin
.centep;
%5GENERAL WMRKS
.end;
,skip 23
,spaces 1≠
.iNdent 0,0,0;
Mathews, Eax V. /(∂)Q∀AaKGαC;?3};eβ?2β∂?7π+S↔I∧¬W/≡≤5bjα \↔∨≡≤=π/≡↑NG
@Q)RdJjEbππ,↑7~bε∪∪3JaQ hRn>ε∞≡↑4β∪XQ%fNvL]g"β5Fαcβ1Q%&F≡4εO~∞Mε*π
_ ml9<@∞⎇|Z`⊂~w⊂1`/mputer music& Althou`∂PA%hAoCLAgeSQiKLAαK9βSF(4+↔∂∪3'↔≤εBπ∨L≤v/~
x D∞~→( @4rv $, the concepts are Basic en`∨Kα;!βSzβ#/3 βSKW*βS >L∨∩`HαU~ T_[p↔Zβ is esse@9iSCYαceβπp∧εNwL-v'∞>M⊗}r∞Mr∧o↑9⊗~¬eDπ&FTλ↔/&
x D}h≤⊂→≠qy0vH33yεB9wrg→⊂9|g≥42y`)pεP→↓∧KQβ'~β∪'[L∧F.λ~0↔≥4π thpee @ACei@~q↓αSF)β≠≡.7"ε≥nG-βr0∃@
KfAi!J~+5+;∪πn+;@&≥J2ε@yH⊂⊃[vx:j→y⊂6z\βic - functi`∨]LAMODαβπ;πeKk'lpλ∞wzw2λ8πa`-∃`
"↓Q&&N⎇~F∞b ≥f"ε≥l⊗f@yh⊂→Zsw0v≤T∧ bapπSFAα3'3S-∪@~@λ→_.L(≤p~≠y0srH0p∞d↓aKiE%KmCX0AC@; ∧ε∞pβ"P↔]2y; )ew oF Mus@%FA,\α↓αS#*β@≡∞=x LD≤_<ND≥≤X-≥\h⊂~~2P92Xp∧erin the us@∀AWLA5kgSF↓(⊂∀ &CK/W>AβGO*β?→β,πε∞o
H .P4w≤βound sqnthesi@LX@A)!JAYCMhAaCIhAae=mSIKLABAI∃iC@'d∧V H,LW∞∨-~π&N⎇`λ
|β⊂:4→P7p"\αati@=\AC]⊂AgieUGike∀AP∨→¬##∃β¬∪?∨K∞iβ'S≤∧Vf2d∧¬&FTλfO↔>APGπ⎇tε≡F≤λ
↑\h⊂m⎇]_:-d≤x;.
α2P8≤4πblEms ≤@↓βYXAα≠#πC&+CMβ.s⊃β←LεFBε∀λ
≡⎇λ⊂↔Yα ∃C9]←iCQK@Ae∃MKeK9GCfA rAgk UKGh8A)o↑↓CaaKαs∪'∂/→β KL+⊂⊗g∀λ /∞≠≠tLT≤≤},=≠x8m}<⎇~,>c"P-lλ≠=.≥8kλ ≥Yλ_L≡z8h
\=~
≥][p⊗≥2r⊂ )n signad @QQK←ed\@Aβ8ACIA!CEKi%GCHAβ≠W +,≠P$ Ns∪↔aεK@~ε≥l6g9→9∧ =λ∃
(→0↔→⊂7s⊂≥42P1≠wuWεBεA↔9Ztx⊂→NFE↔9\0qr`3 13
,¬SMI∃]h@`0`X`@Xh"7?⎇∪↔I1∧Sπ7↔~α¬)↓↓0Z#?8β∪ >↑4ε
ε=x .∞αz2`2 iake h kg%F},@ZP≡∂|¬Wπ=→0→λ&zy`)c BoUph
CX<X∩*4{1:&Jaβ+u` %@⊂88↔ Y⊗Y[Kαλ
(hQ3OC∞≠↔M↓⊂π0hRm_ LL9]ε5α_⊗_∞FA @ wondep¬MkYαceβOL¬Wε@→(⊂∩↑860w_z4wgλ4πf @!←nABαβ∂?7¬+S↔I∧επε@y→0⊃YyP9`/und.A)QJ↓CeiSα≠3∃hSSK↔∂#@~πM Rε⊗≤∧p∀XyP⊗@ anal@=H
βπv!β∪'>KSπDλ m≤{X;∞T∧ c@=]eKeQKefX↓`∂gnMε/≡≤∧h ={Xp∩\8∧s,
λ¬gaKα≠SK¬∧∧⊗v"∞|↔6*∞L⊗⊗@→<k∧ X∧v 4ers, pπs@;&C↔O'~βS↔∂Fs'GW,ε2bε≥lBε&\h
-m8π3@ instrumentpε~+∞s⊃β;|εF*εM_ nNh→P↔\α a @
←[akβ#↔I9ααS#∃∧εF/GDλ
.P3:`2ther↓GYC@⊗K⊂⊗N\@λ∞M≤[p~Yβh the us@∀AP∨_hS∪Kπα⎇⊗v?4λλ-lλ→|L≡~≤k∧ 8π2 a b`%%K@→βd¬↔>λ≠p∪λ92s %p¬K@;≤∧W4~8 P~w1v 5ded.
λ∧⊂∀%n6@=<λ gF@
.space@L@b`,hQ0⊗NβY→-nα⊂⊂⊂,0,0 64⊂λ ()]v␈⊗↑ D X;9.P W%λεSi@≥]C@1∧επ-βqr`3pπS@;8ππOC,∧7'~
x D {{<∞↑→<@⊂≠zyt`# - apπke@6+e 1aQ"`5t≤[l<αrr4[3yP /d∧AiQ∀A∪ ∀X
"λ¬P↔[↔≠⊂∃, h
@=pπααD≤¬0∪Kα 1974εR\AββA9EλεβBk⊗⊂ f@Tε~∀4⊂ ;O∧∧⊗≡<h GF@
.indent 3 _`0`v~∃QQSfAαK@~ε∀λ m⎇y λ
]y→0→_z2v 9 p KGαC;'∂∞aβ'nN&}≥8p~~ww⊂ 4o si@≥]C@1∧επ-βqr`3pπS@;8π'9hS∂?7∧εW&/$λ .↑z8kD∧⊂εw`/p¬KdAβ#@⊗.≤¬≤d∞|∧w:~2yt`3 p KGαC;'GαX .P0w2λ8∧he thre@∀A`∪@≡λ .P7sεBαpro@
KggSαs⊂~αα_9 M=~0≠→T∧ s@UE`∪K∞≠S'[*aβπl@λ
mβw⊗v~w2pyλ-yx %cifi@
CYY@Jα~6@U⊃P@)→(⊂⊂[9wP "p¬SKMαceβ↔Gβ3 ?,X d∞≤}0⊃Z4πac@=kgiSα≠@~πM∞&␈.⎇λ∧∞α42P≥yrP /d∧ABAβ Wπ∪α,↔εF⎇m⊗_h-Hλ/≥⎇=⊗λ0y0∀id¬SGSα 1βK,εf/⊗,X L≡~;p↔ ⊂0w2λ24st]0p @IKG←@⊗#';≥∧ε7'9~0↔H8∧ec@!]Sc@,∧W5β
He se@Q`
β≠|ε'&B∞Mε*ε,≡6N~∞λ M≥Xz0_≠2yP /d∧Agaα+∂'πbkC@/,∧⊂↔\β`
AgαK⊂≡v≥Dππ⊗βxp∩\βsing λ
+F @⊗'|≡&*Q( M}H≠=.tqP 3ynthepπSfAα ;⊃β&K@≡∨↑8 l↑h≥≥mt≤≤[nMβz0→@ASGCX↓[kgSα→βO@≥nFF/=_∞L↑\kC!*42P_y:4`#le i@LAP∪'⊗+@⊗∞β≠⊂≤H9x94[5v2`$ p∂SI AP↔παMε.n≤¬~,<8ε⊂ &or`≠kαcπMβ∞s⊃β∨α,↔εG5Dε∞fD↓P@,x8 2Yαp @3dπ∩ε/∞λ ≥8π2`$,∧@A !KeJAαK@~ε≥`λ ←≥→0↔≤βive bibl@%←GeCAQrACP~∃iQ∀AK@; ∧ε&O,XλnM8π3@ the @%]`∪↔⊗+@∨&\@λ∞2pr2\α to othe@HAg←@,ε&≡<kC!∧¬∀]MP∂'Aβ→`_hαK\n 8y0→H_X
,¬S@;&+;@"∧∧ ε¬ λ
FBαSt`%¬o\XA)←Q\X↓C]HAI←CI@~α∨/,¬~.T∧ e@⊃`
2∧¬r`8{{<∞↑→<@⊂≠zyt`#,∧↑@A5CggC
Q`↔O,εG'~ββ"D +R+JEH⊂λ 2ess, 190⊂@xh ⊂@ ¬↔9\0qr`3 20⊗~(X 'lLVwλλ V ⊗_⊂≠
λ¬)QSβ→β'M∧∧∩π{x 5H4p∞ @A` >|∧Y.yP;t≠yrP !p¬e@'αhλ-D~8 P→psr`2ly antici@ACiKHαqα'Q∧επ-βvt`3es
@Q↑AEJ↓C\ASαkC ?,¬_-nα⊂9`/urce in the fi@∃YH@9ααS#∃∧επ-βx7`3e`λAGαCπCS,ε'4~;XmNαr2FBαp KGαC;'GαX .P37`2 h kgαK∂πDλ m}8π2 pπs@;&C↔O'~aβO?4εG>∂,Tπ?<⎇→-↑h→P↔\α musical comp@=`∂'SL¬vr`Q( o≥]~→.t⎇2`2 e`≥O%]KKe%]NAC9HAQCII`∨πα,RbεM_vO&≥Dπ=9{X-D≤≤[l<αyy`)ng$ @M←k@; ∧εNr∞:ε∞≡UAP@,{{<
}z9~-⎇H≥z.Mλ_p↔[x:z2\αs _Aα#'∂'& 1βK,∧6␈⊗M_ L@T∧ and the a`≥C1sgS@~aβC↔⊗≠↔CSL¬vrb ≥f"Q(
∞0p∞sCp¬Sai%←\A←α1β /↑8
,<8ε⊂ 3ou`≥Hαqα7|∧p~λ4πf @QQJACIiSGYα+@~πMtε⊗*
_ L=≥9→,D_8Y$ Y:0↔→β
@]` 'SαLVrε,ε(∞M→(⊂⊂Xuw7`7ledged expert`&↓S\Ai!JAMSα+3⊃↓Fkπ;e∧¬v $≥z≠n≤αP;w\αks @¬aJ@~)S]GYβ+∪↔⊃∧¬⊗rπM
↔4_Z0⊃≠4p∂graphy) A`≤AαK;∪↔@∧ε}H≤⊂∩\αsons, and subject @%]IKpαβ←'MAP@,Y(⊂∀[1v0∃@⊃K@⊃β∂!β@& Tε.vEaP@ pevi@∃n@@#Js∃(Q(λ,.⎇≤X,>≤h⊂↔Yα abticleS submitteD fgb↓acEYαK∂πSL¬vrε≥`λ∞M→(⊂∃≠zy70[∀@
Pictu@IKfAC9HAgQ=` Aβ⊗K?∂K∂β#'↔~β?2∞Mε*ε=yg'⊗α8].Mβy9P_p∧d @∧AUCGα)βS?,∧6Bpβ"U
(~P↔]y0∞al is @%`∂OW,∧Bβ2∞M⊗n<h⊂$∂98<E@⊂⊂*4→P"2`#embe@HASggUJAG←αsSπ≥n2ε∞aQ&∂/M
wαε≥lBπ∨\-&.∨D ⊗v&←π&@h≥~ T~=→-↑h_smn_:3L\λ~0↔λ:42P≡p¬ab'q joUrjalS
(iNcluding iTems @→` ?5¬βK'∨⊂βgππ↔→βS#∂!β@>↑,Rε≡⎇]V.wLXBπ∂
ybεNd
FF* 8 n↑\y#!
βs⊂*~2P8 2esent year) The author iNdex @
←]iC%]fAi!JAae%[Cer↓K]iedAMOdαβ↔π∂@h+'S.i↓#3O≠S↔⊃π+;∪↔⊂βS#∃∧3'KO k;π↔,∧Bπ⊗↑8V∂⊗= W$~;@∞M→(⊂∩]2w:⊂≠s⊂1`/-authorship)~∃
aP∨O~βK↔≠-∪↔;∂-→β3'vYβ∂=n WS#⎇∪@~π⎇_
∧≥~→$
8:3D ==~
}\h≠l@⊂:42H2w:9~pyWεB*42P≤zq5"Xz⊂4w→2|⊂$[1v:r→yP3r[2y4aH0yP+Yv6⊂0\β teChnicAl heAdi`≥OL@QKN8~∀↑← ←←VAβ∪↔['-;@~ZDλλ-lλ kh-8[∩-||X<
9<ke∀∀_< ↑\h⊂⊃[w:0t[4w3@≠wy2P≥40w
X⊂εE≤2s2i→w1riH0y2P≠4yz2Y⊂:w2→y⊂:4→P∪Wa~q64wYy0x4~pyWP≤zq5"Xz⊂42Xr4w3KεA)zX52qzλ1y7y\P92s→y2w1YyP0y→P4w1[8¬ded as Required&
.skip 3;
.spaces 1;
.indent 0,0,0;
/+Journal of the AuDio Engifeering↓'←GS∃ir\↑↓≥KnAe←eV\@brjLZ~∀~(YgaC
Kf@dl~∀]S9IK]hfP`X@v~∃)!SfAU=keMC0AgKK5fAi↑↓EJAO∃CeKH↓[←eJ↓iP∨←∂∪∪Mβ∧{CW3∂⊃βS#∞qβS↔≤C;'∂∞`4+∂}sOW7π#'?9rαS#∃ε KS'≡c↔Mβ∂∪∃β7⎇∪∃βC⊗ ∂S'≡ 1β'rβS#πrβ@∨ε\:Vf∂M≡f*b ≥f h-↑W∨" ,Rπ≡\XF."
}W"εn-vjε≥]vv: =w.wMLW>h_9∞l<]~.<993NNkHλλL<|~.L(≥~ Q"[⎇L↑]λ⊂m⎇;90→_tpv$]<V⊂*~2P80\2y9P_y2P'Yα hiGh quality emphaqizine the
Prese@9hAgi¬iJA←α1βS#*βπKQp∧α∧OD ↔4≤≥0MM<z→,D≠;sNM≠≡( ≥Yλ∩.Nh_<NM8{⊃.⊃"X<LT≤Y5M≤α{rbλ33y abstractiNe b`2↓∞∞¬p∧¬&FTλF.≡]\&/∩
~7∨.QQ&≡}nL⊗Nw4λ7.o]Hλ.M=Y(∞≡8ZP∩Xz⊂0w→⊂0r`4hkr @%]IKq∃`
β≠|ε"πε TπN88@↔λ⊂"pqZ∧¬∃Uα{WKl≥BεNβXp⊗≥p∧es pape@I`
" X L@tp∞e@∃` 'lpλ∞2x7`2ts _Aαc↔SS,ε'4≥≠h∞M→(⊂∩Y4z7`2,λ
*∞≠?WO&K∂πD
6}≡≤X
∂∀≠yHλ≥9<Z,<(≠[m≡y(⊂→]0p∞dap¬IfAαs↔←MαC?∂∂∂≠'?;∞c3e%`h ↔ε≤¬→-nα⊂72]yP @9KofAα3@⊗@{(⊂≠_y0 o@U`
β3|∧6∞b
x L@pp∞i@iCiS←αs@~@λ_;Mmβzw1Yvrw:≤β fo@H~∃kaα≠?7≥lrε@990~~w3p∪, cal@1`
β≠|ε"πε≤∧→.9P @1Sgi@~β?2
lW:π∞XλMM8x=
≥{\k∧ 8π2εBαh K[ KdASαs⊂⊗@|[8.M8πw (i`≥GαcW&≥lrε@X;9.P0w2λ0r29→yyr`3) I@PASfAα 9β↔≤ε6.wM_λ-Aα@
p@UEP∪'≤∧↔&Nβ{@⊂→αh∂dAβ## ?<Tπ>Ftλ
m≡zλ⊂~≠P9z0↑P⊃0zH1wp∃@IC]hDαp4(Q%g=z8λ⊂ ]FE↔≤βpac@∃`
↓EXh ∩vα;Y ]]λ ¬Fλε_≥CE↔We≠zy70[⊂7s⊂≥42P Xwzy`4ical Soci@∃irA←α1απ\X M≤x+@↔H'2{@ York0@b`%⊂π∩hhαC"E@9x0qYyP⊂∩l~∀]Sαs∪↔n@λε5α_⊗_∞β
∃)!SfASβ→β@& Tεn∞α;@≥4πurnal f@=` βSF)β≠≤X D≠yH ≤{x
`3tics. @∪@"β'Mβ∧εV⊗@~8 `(e`λ~∃αk?;SFceβ←LεFBπ≤¬0⊂\αp Ke1rAgkββC &]\Vw≤k@⊂λ ¬ac@ ASggβ+∃β'v≠3@.LX d <X
4Xv2yP≠w
@YCe@'|εW4_8 `0ect`&↓←@→β&C∃β≠L∧Vf"βλ⊂⊗→z:2`2pεAi↑↓iQJAα+∪'S|ε"bε|8λl≡z;p↔_v⊂:2Xt74`#al
@9←iKf↓C]HAβ∪↔O↔∂∪∂!β↔∪'.n5B¬*h∧kD 8{p~\βtic@¬XA]Kβ;@~@λ_8m}<⎇~,<8ε⊂ .ews @→` >QQ&∞↔-xλ,Dλ∧:4~yP9`%paration @=H βSF)αU:α5bε7-x $∞α42P≤αest↓←@→β&C∃β←|ε&f"∞8 ,]<hβ!8∧o @%]ISGα S∃βλ∧εv∂M_ ml8ε⊂ "ias), er`%¬iBAMβ∪?5β∧ε&/6α;p~\β vo@1k[Kf0AE@?|¬2π⊗↑h
,↑|kβ!92{ )ew o@_ACG←β+@∨&≤8λ-D≤_= ]]_ Vλ0p∞dan autho`$αβ';∪,πααGM
↔4~8 P_zp
u@1CiS@4∧Rπz9~↓QY88m∧≤⎇0⊃Xp¬ss@%mJAmα{3@.β9(∞M≤[p~Yβh the p∪Kα @∩ε≥lBε@~8 `4pεA←]1rAC@,εFF@|H⊂↔_vrV⊂_w2⊂ 4he~∃β3?1dλλ-lλ≤⊂⊂Yβ`
A]<X β←F+@⊗*
↔4_8 :~qv2P≠p|P "e fo@U]H@%α4*SF)β+|¬0→≠0p `&↓CeJAα≠W7Wd∧↔&.Dλ .\<X
2\αh `$hSπ;⊃∧∧↔.α4q`,es are li@MiKHAα ∂∂?⊗#';≥∧εFz∧~8∩ε/>L⊗⊗F≤∧p∀→p∧ s@UEUKGβ!β#↔∞#';∨~p4*∂,¬W.f≤¬~.l(_=.M≠x ~w22`8es appeab↓S\A∃β+;∃β∞s⊃α∪,∧6.n,X D∞~~0→H8∧ime sith ful@0~∃CKβ##/Io#'S3*β∂'S∂#'?;~q↓αO,επε@→;9-n≤h⊂⊃≠zp∞d↓S\Ao%iPAi!JA[←αsS#3Jβ[/3,¬V/_Q(λm⎇]_:-d≤≤[l<αrr4[3yP [2⊂8 2ocrampεA←L↓ESC]9kC@1∧¬V.=~0↔→βs o@_AaQJ↓β'αA¬`
β←,¬F`@ ¬0yH92s %p¬KMGα+@~πMtε≡}nLVoε|,↔/(≤⊂⊂\2y9P≠w⊂0q[zyz4XyP:0Zp¬`≤Aα3@⊗@{(⊂↔]42y h¬P∨W⊗sπ3Mph"*ε≤ β'M∧3W33Jβπ O'∪π∂S,∧Bε↔∀λ48+C"AQK\zm≡λ naQK\| ≤y<hε↔c"KM≥Y→3ND ¬F∞c"EUβaw`-pp iKβ⊃α7W≤K
α-zWε@X; E@P⊂&p\βsacHusettq(λA~αr% 5E`λ
∞Y<teD .-fE!"C!¬\|⊂,<αyP→∞F@
.indent 3 _`0`v~∃QQSfA%`
βSF)β'πNqβ+∨,ε&v∞βλ⊂∪≠y⊂1`/mputep music& Pp EYαK@≡F\@λ∞≡8<] ↑Xε0→, it
λ¬CiI∃[aif↓iP≥βL¬f≡g\LRπ& Tεn∞α;@⊂~vx7`2ta`≥h4⊃CeI%GYKf↓←\Ae∃g@↔π⊗≠!βπv!β∪↔6+3/Cn+;SM∧K9βSF)β≠π,¬F"b ≥f"b∞Mrπ&
~2ε.l@λ∞⎇9≠λ↓Q\{p⊗Yz4vr\P92h≤4w:⊂βE9t`'nifi@
C]hAββπC↔↔→β≠K}iβ/SF+Aβ+⎇+C 6≥N2bα _
∧∞⎇8p⊃Ypr9P~w⊂92Xqt4g→β a @ eWCHαβ πO,∧@hV=H
,]]→3 T_X P≤90w:~w3P 4utorial articl@∃`
βπα4π>∞MDε∂~∞LV≡Fm_λl≥λ≠p↔→yP∞ In additi@=\∩¬Sβ!βCW⊗c'O#,ε2π⊗↑h
,↑|h⊂↔Yα the h C@&+GQβd¬↔&/,≡G/⊗Tλλ-lλ≤sn]Yλ⊂→→qwq2~w3yVλ0p∞d~∃G←αsSπ≥n2ε
∞8 ,>~;p↔λ4πf Pph∂I@,∧7'~
x D
9]→. <⎇↔λ⊂*42\αe are unfort`+αsπS↔dπ∩εVβc"M≥Y→0≤→yP4`. phe voleMes$ @!←oKm∃` βSF)β+∨αX Ml8ε⊂ )pεAC[=]NAi!←gJAβ∪↔[π,εv.α /∩hαPp↔[x:z2\⊂!wg≥97v⊂⊂q9z9_qz9WβE(εEβ↔)edT⊂→P≠
. spaces 1;
. begin
α.↓GC]i∃`v~∀∀k%
∃%β≥π∃&@~∀9K]Hv4∀~∧]MWS`@Hv~∧]MaCGKL@b`,hQ0⊗NlLVw"ε¬Cαc¬1PT∞.,⊗n␈⎇~GRb ]⊗g≠{K∧∧H⊂p~→szw, IreNe* /-Handbookof mathematical functigns with
fo@I[kYCLXAOe¬aQfA¬]HA[¬iQK[¬iSGC0AaCE1Kf@=b↓OK⊃πβK';&K;≥1∧kπK∂@↓EeY*aβ←'&@4+∂⎇∪K↔∂&K?;MrαP≡∂=
⊗v?Myb∧"h5bbεmx D∞x;⊃$ ↑(∀n↑≥ @
|H⊃≠l>iKλ
UH⊂kDλ{⎇Q.
Y93NA T∀M≥]~;LT⊃yQM≤y+λε↔-M+AQ@εE↔≤x0qr\β 2;
.indent 3,0,0;
ThipεAoCLAC\A=kiOe=oiPA=H β¬∧≠?;≠-∪↔;∂*β?9αn S#↔n S'∂∞aβCπ⊗c↔MβF+3⊃β∂!α∂πn∪K'∪>(4*7∂≠M9α≤∧Wπ"dε∪*k⊗eBβ ⊗VBπ.lLWαπM Rε∂↑>εN≡↑4ε}∩∞Mε*∧l≡FN}l≥B¬≡=_Vv≡Tλf␈.lL↔&N⎇dhV≥lB∧ji∃e"r∧λ↔"πM
↔
ε=yf6/,]f≡*D ↔"π|≡2ε&\8
,L9λ∃
t≥<→ ≡→(∃
(_p⊗_yytaXv⊂:0X42yFB5s⊂3≥w1z4[w9P1≡P"W∩0p75YP0w2λ#↔⊂"[p∧e Whichware by then 50 yearpεA←Y⊂X@A)!J~¬C%ZA←L↓iQJAUaICi∀AgCF↓iP≥β4KQβ¬∧¬V∂F≥↑Vjε|dπ/≡\jVbε≥lf␈⊗β8=
≥{H∩-d_(⊂⊗[p∧erate¬
@MSuKH↓m←YK5JPAo!SYJAα≠?[↔⊗K;≥β&C∃β↔w#'K∃∧∧fN∞L@λ
|H≤| \z8;∧
8=~ ]8=~,<9λ⊂∪≥w1z4[w9FE≥t4qtλ0y4yYP4w≤4<ydXpr⊂ !nd eNei`≥Kα+@⊗Nlpλ∞∞[x[ ]<k@∧
~→( -{zh
≡h≥~ T≤Y4n]≥λ∪lA ]~ T_{p↔\2y0z~ww⊂'Y⊂6pw≡P6pz~2vpz~qtpw≤W⊂⊂*~2P:0X62yP_y2P9]x86"[pw:2Y⊂14FB4w1f≥r4w3H:42P≠pz42[pz4qXv⊂89≠x2y:~ryP:~0z⊂0\2P4f\7y:0[:⊂4gλ1wvx≥z0z4[wεE 7ork and by providing numepical methods which demoNstrate the use
afdextension of the tables. An essential reference for thosa who constantly
use complicated sets of mathmatical funcTions.
~∀9gWS`fv~∀9gaCG∃f@bv4∀]S]⊃K]h@@X`X`l~∃¬kai←\X↓/SYY%CZXA∃H\@@<←π←[AkiKd↓[kgS @brnXZnn@hABAI%eKGi=erAi<AGkeIK]hA]←eV\<~∃∨iQCoBX↓)QJA
C]CI%C\Aπ=[[Sg%←\A7MSG:A→←dA+9KgG↑0@brn\\~∀~(]gaC
Kf@dl~∀]S9IK]hfX`X@v~∃)!SfASLAiQJ↓[←gh↓Gkee∃]hAI%eKGi=erA←_AS]gQSiki%←]fA∃qaY←IS]NAQQJAM%KYHA=L@~∃
←[akQKdA[UgSF\A∪hA%fAS]QKe]CQS←]C0AS\AMG←aJ8A)QJ↓aeKM¬GJASLAS\A ←iP~) ]OY%gPAC9HA
e∃]GP\A)QJ↓[KC]LA←LA=EiCS9S]NAQQJAS9M←e[¬iS←\↓oCf@4∃BAcUKgiS=]]CSIJ\@A∃]ieS∃fACe∀ACee¬]OKH↓CYaQ¬EKiS
CYYr↓ErAG=k]iedX@~∃¬]HAi!JAS]→←e[CQS←\A5←ghA=MiK\↓S]GYUIKHA%ftA≥¬[JXA¬IIeKMfXAC9HA]CQkeJA=H@~∃%]giSQkiS←8X~∃gQCMLX↓QCeI]CeJ@!G←[aUiKef0AaKe%aQKe¬XAIKYSGKf0Ag←k9HAOK9KeCi%]NAI∃mSGKLX@~∃=aKeCQS]NAMsgiK5fRXA¬GGKgLXACmα '3π⊗K3'SJβ? β&+∂#;L≠π1β∂≠O'O& ;∂∃bβ';O'∪W∂SN{84+|3⊂⊗/,\Bbπ∞\&fN<≡FN}n4ε∞vwhicH publishe@LABAcUCeiKβ∪3eβv+←O3,εG&/$λ M}H~0~≤β me@5EKeF0AC@; h ↔∨
x Nwy0∪ compUter @5kgSF↓G←]mα+;@&≥x NP⊂λsUch as phe Inte@I]CiSα{;πDλ6}o∞X
↑H∪=.tqFE⊂βonvEnpio@8R@A !JAO@⊗{WAβLε2ε@8:0↔≠<P4`.tere@MiKHAαK9βSF)β∪'α8 l]8∧w0]4p∂n↓←@→βL¬f -βy6p]4p∂n
λ¬S@9∧εFF* h
,]→ λ ≥Yλ⊂∀\β extp¬K@7,¬GJπ,X n
βw9`)ve to i`≥cUSe@',ε2`$λ⊂
4→yrP 3hh∂kYα!β ∀hS∪'K,∧7&.Dλ
t⊂¬7`(n Strawn @ X∂=α≤~J6¬bα7WOL∧2∧→<⊂⊂\αp [KαsQ1αα8
≥Y[p→→⊂*w4]2y0∪@%irX~)'iC]→←eHX↓∂πM_ M}Xπ4`!, 94L`j\~(~∀]≤Z&A↓α70hRh∧tλ_q0 P ]FE↔~w22`.t 0,0,0;
%1Knuth _A⊃←]CYα!α*d¬r`:α42P_y:⊂ /d∧AG←αkC@/LX D∞≤[p∪\αa`≠[%]N@9∧εb`&+( WCE)2`!di`≥Nαaα7πα8 l≤z≥0→Yz:0∪ 8∧AβI⊃Sg←\αjP≡<{⊂∩↑T∧ (v,∧b`)β e@3α λε-β2⊂ %d. "βIP≠≠4λ
E@→_
190 `%`h ∪⊗βY⊂→p∧ ≤@DrpbvαβY9Mβ$β Kv5⊂hPβ"KJ:⊂0q*4 Nc!↔$g"⊃dεT 3,0 _`l~∃)Q∃`∂∃β∂∪∃βSF)β≠≤∧\nD≥~≤L\αP; /lp @7,ε2ε@yH⊂⊂H897`*ecte@⊂@nAmα{3@.β9(∞p¬t @Q` ↔παM⊗v:∞Mε(hαX;L≥≤∧p∪@%`
β?2βπ3∨|ε&O&
↑2`$λ⊃0≠→w⊂:4≠zst on`→@JβS#∃∧εFG⊗\Tπ6@{_
`-es have been c@=[aYKβ#↔"ββ"NM~8 P~yP0v≤αeady a l@¬]I[CIP
β←|ε&@4~;@⊂_wvx 5ter @MGSK]
JAYSβ#↔KπαNW,+Hβ!∀ ∞o@QJAiQ¬hAGQ¬a`∪↔⊂∧εw8εq2\αs c@=]`∪'w+∃β∂|¬g<αqz`4ivel@dA`∪#⊗{W>∧λ
(≥P↔[8¬me@LR~*&C∃βC,∧&fO= V"ε-x myP0y→]
V,∧bRA→k]IC5K]iC0AC@3>{@⊗OM
W7H_p∀ α1 BapπSFAα≠?;∂,επ'~βλ⊂⊃Z↔→⊂$[30∂`%5CiS←αqβOSα.V∨'↑,W4λεV@
V.HRA'Kαk';Wn+@⊗N<≥Bε∞β→{n4z46\β: c@ X Mαα,⊗v&⎇Pλ
nαp
bep¬f@1∧∧6BsDλ↔-=~≠,↑~8h¬UαP ⊗.3) @'α{@↔~;YaQX;Y∧∞y8<L=~;Yg⊂1t.5 So@IiS@;8¬Bε≡¬`
D
y8<L=~;Ye@⊂⊂ ∀he proh¬KGi∃HAm←αcW7↔~βπK∃β$¬ %M
#!!wvq~w0p∀op¬SCX↓CYO←β∪'S#o→`∩ε= F@P!w`-bi`≥CQ←e@'∞aβO↔∂∪∂#'v91β∂@¬cB¬,Xλn↑\z0↔[⊂⊂
-T∧\jR4⊂
O@≥nF∞∨M_λl≥λ_; @wy4`4hh f@Rβ∂!dε( L>~0⊃Xv⊂9`#an`≥Sαs⊂~@λ_p∀ α10 Parsi@9H
βS,∧6F@X∧xzYyP⊗@- V. ,$A)QKα{@↔Hβ"P↔Yα landπkCO∃`
iβ≤¬α`&,(∪,≡~→0⊗Xz4q`!l li@9H∂W≤∧p~~qyP⊗KP+↔7) Co@5aS@3,ε'7H_p∀ α12 Pp¬P∨∨α,⊗nnα;YaQXε0w→βuage p eC9`∂3παM⊗}rd↓P@!αE%w≥z4⊂ (as depπSO]∃HAiQ∀AE@?|¬74≤{h∞M_8
they may @ JAkgα+⊃βπα4π,9Y0→→w1r`3 as
w` @3bβπMβ≤∧Vf2↑8
∞\α<P !nd f@=` .≥Dε≡␈↑.6/~∞Mrπ→88m∧≥~→$∞Y89 ↑H~≠nt≥≠h∞}X∧p∀e λ
+,∧f -8z0∩[8∧ aldπ←eSβ## /5`λ
M→>(∞⎇8ε6⊂_2P0wλ4p∞v@¬Y`↔π⊗c∀4,∧p↔]y1rP≥4π c@=[a←@≤∧W.h≥z
t≠=0→]⊂12P→αa`≠Sαc'πI∧εvO&∧λ
(≥0→YP7s⊂_v3w`2ithms as @∧@⊂∀,8 m↑≠x `)ti`∨]¬XAi←α{18Q)6w=~⊂≤90∂`-∃`
β#L¬W<αv3⊂≥4π be a f@%]JAi∃CGQKβ⊃βπM∧εv.fDλλ.P0P 4hh∂e←β+⊂≡B∞8λm
βv0y α
∃)!JAE←α{ ∨~ ≡&*εl≡6≡NβX=
≥Yh⊂⊂[2⊂:4≠y0∂u@≥QP∪e∧∧VvVβ}0⊂X4∧e @Q↑AeKα ⊃βπαDε∞w∀λ ↑Y; D
~→0≤H0y2FBαa`→gαyβ@>]H ∧∞≤Z0↔≥2r⊂ !nd quite @→` ↔∃∧∧g-{(⊂~≡x7sy_x44`#al e@I` ?,∧kAQ@εEεBα.skip 3 64⊂ :Nαλ∀84h 'F@
.indent 0 _`0`v~∀<X∞CK|∧6.9~0↔→βs o@_A`∪#*α';S,ε&v∂M_ ml8ε⊂![vx:`4er MupπSFA
←]MKβ∪↔;∂*aαGW,∧Vw~λ8 mMα2srCE∀'7]↔⊂⊂⊃dp`@%zX@5<X $ 8π:9≡P:w2→y⊂!$PαL@∪∨≥%β!⊃%
α↑⎇∩.MbaP@ ↓E\zz.∧ h
FBα.be@≥S\4Rs∂.nLW'c"KHi!)"Pe]FE X¬SOUL¬⊃hRJ,9z$$Lhz0hRlX LGc"C!¬\zz.∧ Nc!¬\|⊂⊂Xp¬s 18ε~)vK;∪↔w!↓AF¬CβXQ+11Tp@≠E,¬ C@π%≠ααβ∪↔]tπ&∂ TαE≡|¬0↔→⊂92`#ordi@9H
%5∧~≥∀X⊂λ
,8{p→→4p∞g↓'ikI%↑P⊃αβ0 '⊗βP
@:4⊂ ↓↓α↓↓Eβ≤¬w.vDλ
≡→(⊂→→p¬`_@hA`≠π↔K';≥∧ε7ε.\N2bβE↑G,8z`⊗λ8zpr α ; 10 in8X@b↑PAS@9ph!↓↓∧εF∂εU`λ∧
_:0⊗≤β o`+PXλ (!Q"g∨ ≤6/~ε ∞aQKZ0↔→2p∞t3(λ`X@r~∃)!SfAi¬aJAI∃[←]gβ#@⊗∂LZ2πε Tε.YY0⊃]⊂7s⊂_p∧di@QSmJAβ≠g;SF+@≡O4λ md≥~3,.Y+@⊂λ$zεE_v9wP~w1v*Y2yP)Xvx6 %pεA←L↓H K↔∂+↔;∂Jβ7?∪αX ≡~;sD 8π2 psqcHoacoUqticS
(phrou`∂PAQQJAge]iQKβ≠'Mβ|∧bεNβyR-lh≤sn]Yλ⊂→[zy1b\β in↓B@f@3↓β∪↔?∪↔∧Q( m}9Y≤n 8y*%@⊂⊂↔WU8y2w_yP∂, a co@5aWgSβ#'?9ε∪eα-yεr∧=
w>v≥lrαF≥N6zε⎇`π&FTλ
≡→*#!.βpqP≥42P &irsttk maia e@aiK]g%mJAkMJA←L↓
~AC9HAg←U]HAa¬iQf\4∀∩(hQ0↔≡=~αβ≠1Q"`.|_8l↑h ≥CE↔4`.dent0,0,0;
[⊗⊗SR2→⊗Y McL¬CED0A≠CG!CC@1p∧α`5q≤Y,≥<{p↔→UP∞ - CC@%5αA%K
←eIS9JA'iUISNXbrnp8~∀@@@@bAβ≠?W; ∧π&∂ Tπε.]Dβ@$ -(
≡≤kλε%=≤X,=iλ∀nL<Y0↔H≥P⊂Hλ4s↔ελ_WZ⊂~w↔⊂*_x2WλεA⊂⊂λ⊂⊂*0Zv9P7]z∪εEβE↔9x_qryP ≥FE↔~w22g≥⊂→V_ _≥FE∃44yP≥0x2P_wvq4[2yP0H7:vq→y⊂7`& computer techniqueS, IT is an example ob¬
@
←]Ge∃iJA[U`∂'
¬;#↔K*βC↔∂|ε&&Nl}2ε↑d f∂'↑,⊗fgα(⊂↔Xqzy9~w3P)[zw29H0y2P≠ps4`0ulated.~∃⊃eKC[M←]NAα3↔πS,ε&/~ ⊂εnO∞NW⊗*
x D∞};]
<z0≥→r∩⊂ $igitallp∩Aβ∪↔∂?⊗#↔⊃β∞s⊃βK*h4+ONsS#↔≤Kk↔⊃bβπ;⊃¬∪↔∂?⊗#↔⊃β∞s⊃β∪N;'SπfceβC⊗{∂πO≤+⊃βO␈+;∪Mp↓↓α∨&C↔Iβ&+∂#;M WπLhSWS'dKk↔⊃ε K∃α4iβπ; ∧ε≡}\!V6NNLW⊗Nlp AQU~→$∞{|Zd∞x8h ∀≥z;Ml<H⊂∀[⊂:42H_X[\λ1wvx≠yry∪\P1wf\2z4z~ww⊂7Yα the League o@_~∃π←5a←gKIb@JA%]aKe9CiS←9CXA'=GSKidAM←d↓∂?;&+7C?⊗ Keαo+G'∂N ;M1∧∧⊗v"
≥bβ ⊗w∩π>⎇aPV∞d
ε}v},⊗⊗fT
V.wM→vrε≥dπ&FTλVf.>N&zn≤=w/∨M≤2∧o↑=⊗~∧=⎇g&/>Dε}2∞Mε*∧}-w/εT F(h)↑W≡O≡X $λ>≤→.
;93NL9→( L(⊂[n↑Yy<ea"C"Enzz<∧εnc"En|_8l↑h .aQKZ;LL;]λε¬ π1"VeBjtL-αk(∩;NL<[X.M;{X-D⊂{{.∞=→4D =<z,4⊂{sLl<Y;L<+λ∀l≥H⊃~,\{kλε↔-mkAQHλλ∧∧∪[p↔λ64w2Xy⊂9|[:42iZyP22[wW⊂⊗H!aa&PP)2a[y24w→P)z:Y4wV⊂ \[[WβE⊂⊂⊂λ⊂_P 3ound↓iCaJ↓eKKXpAmCIsS@;8∧π>→90∩≤V⊂~ε]90quK⊂9z2\2wP≥H≠P4g ⊗⊂_@/4 in∞
tape. @e@¬IfA←Uh\
∀@@@@4∀]ga¬G@↔Mβ⊃d4 vK;∪↔w!↓MF¬CβXQ*FFO4λ
≡→(⊃ ]9{\nNX=→.P:42H50∂n
li`≥Kα @∩π?→g&F↑8
.P:2`#hj`∪@∂+↔Mβ|∧b∧∀Tλ⊗v"↓Q'>∂lX m <~0↔→Tε A↓G@↔∪d¬rbπ
_⊗vZDλλ-lλ≠p→_t2y`4p¬BACIJAgSαkW3π&+⊃βW≤¬⊗v:λiRbε≥lBελβ"P≠~wv4gλ4yP 3imul@¬iKHAβ+@≡NβY`⊂≥p{2`3hapi@9H
2∧
6}nTλ m
|Y⊂≤4rq`%pεAC]⊂AMeC≥[@↔nN2ε@yC"N
98p∩\β b`2↓ 'MD¬≡≡
x
∞N⎇_9,Nα⊂:j~v4⎇ )ng the waveshaping @QKGQ]%ckJAα K∃β∞cG=hS';∂dεV&.EaP@@ ¬↔9Zβip 39
∀]MaCGKβ→↓E@1Q"`-8π22[8⊂_⊗ ⊗_⊂≠
λ[⊗⊗SR17-tA≥Km¬IBAGα{;∂↔↔!1↓Tλ4:S0 ⊂∀2qw`2di`≥NααOSW&K=!↓λπ∪ 7+C"D∧λλλε∀≤{p~[2⊂:0\2P92Yv⊂≥⊂ X¬ i@AbP@hαkSKπ≤Y1βG,∧⊗"rDλD¬B →∩βZ∧⊂ ∧
9KC∧ε+mλ
≥KC"D∧λ≥_. +Hλ 89≤d
⎇= AQ@εE↔≤x0qb\β 2;
.indent 3,0,0;
Thiq is a coNcerdtape of pieces realIzed at CCRMA uSing The SYstems
CoNcept digital synthesizer (adso known as the Samso@8AE←P$~∀↑←∧AOCe⊃K\AMα{Aα?↔β#↔W~yβ e¬βπW1¬;'↔;.[∃β↔Gβ3?K/→βS#*β∂K'&K∂π0hS π≠ βC#↔v{7↔≠}q↓55ε β7↔∞sMβ≠⎇⊃β↔[∞cWπSNs≥βπ≤{WOSL→β∪'∨≠?;πv≠∃β /#←↔↔ph+CW⊗)βS?v+M(4Ry>+↔←K'¬=ε∪eα∨∂∪↔S!∧c?eβLε2ε∞mzFF/$λ / 9<≠ T≠yH ={XtL↑→(∪.↑z8c! {{8M≥X;Yd
X=≥.,8ε6<H5qqj\94w3H9wrw→9P;t]4⊂9l[:42iZ⎇2r≤wzw2≤U⊂εE∩z⊂;w[⊂→72 ⊂(94↑2P4`. the DigiTal Muqic Categop¬rACPAiQJ4⊂siP↓∪]iKI]CiSα{;πDλVf.>N&}∞=zW∂&≤4∧o/=_λdλ=x<LNhε⊂!≠zy3r\T∧ FRance, 1181,∧⊂∀%ut&∞α;⊂≤H64s % a`≠←αs⊂~πM R¬ε∞/⊗ =8;\e@P10→ @¬S@3bαO∂#|εG'∨L≤V'α∞Z6/~ ≥bε@|Xp∀→yz10CE0∂f FM i@9cie@,¬V.wN5`hPone SinusOi` by a`≥←β##↔Iph*WOL¬f 4≥~~.∀≥→0m
X∧pzYP⊂λwhich @%`
β7.≠!βOLkC#↔⊂βS#πpβπ&M_
≡Y(∪n⊂9za≥90qj~{2FE≤βyfthesis), id is eAqy to kb`)¬S\Ae%GPAi%[@∃76 Cg≥lrπ∨ X7'⊗∃Dε↔/D↓PV&≤h M≤⎇;∃∧∞≠h⊂↔X80tgλ9x2`#ib`∪F↓IKgSβ∪↔↓β∨β↔∂S⊗ 8 (*⎇↔&B∞Mε*ε≥_ ∧
yH⊃
≤9|X-↑hε⊂ %quations, and Gp¬CaQLXAπQ=o]S]≤AIKg
` ' -→βS#*β∂?;≤∧Wππ1Q&Nwmx ∞l9λ∩-d⊃S#∧∞~→( M9YQ. ;]λ∞x2q`4p¬BAS9m←Ym∃HXAC9HAIK→S]Kf↓iQJAMS[kYα S'∨ph+/→ε∪CπO~aβ←?}#←'l@ ∧ 9Y⊂≤2y1z\yt{2H9wzw→9P:yZw3P$~yP:2Xt74h]p¬s.
α.siip 39
.space@L@bf~(YSMI∃]h@`0`X`V4∃→K¬Ik\XA5CeF\,- S≥SiCX↓oCmKβ≠#πCLs∃βONsS#↔≤KE(Yα↓5 <-zW⊗V≥Dε}2∞Mε*∧≡X
≥hβ"H]Yz3L\<Z3LT∀{p⊃Zpz<WK⊂+7`,,∧dnX↓]↑\HQβae%X@br\rR\AA`\dj@Zdll8~∀4RsOCπ≡+@~β'1PRv≥lF.wDε2cαFπ0hUM
↔
ε≡4ε∞g=tε
ε=H↔∂≡≤4ε∂↔M_6f*
x D∞~→(∞?;]~ ↑z<h∞∞[xq.yP7cλ9pp⊗Eqha`Ing.
Wav@∃`∂#π∧K;≥β≤{;O'∨#Eβ?2β3/?↑K;≥β/↓β¬β≤¬voεL[απ∨Mz&.α∞|↔6.m}&jε/∀εn8;\d
yH_!Q\z3N↑{z9¬d⊂(∃l≡Y9[n-(≥z
≤zλ≤∞-y≥0l↑h_;O∀→→<m≡Y9∞ <Z;lM8h≤m≤{X;∧ x;H ,(≤⎇
}Y9 AQS[{MM;Y8.$≤|→,>≤X;∧∞≤X;N<Y|[,≡~;{N4_x;D Y(∪l._:;L\λ_↑$
;y~,o:;Yd∞~→( ≥<≠∩.N9→#!-yH≥
(≠∪m⎇k=<∧∞z;].=z9 AQS→0N.;H≠,≡~→;,≡~8x-M≡(⊃ ↑Z9Y.∀≥X<M≥⎇<h∞=_<~-lh→]-l⎇~;mnkλ⊂-lλ≤z
}|h≥
:<H \YY0nA"[{D∞~→(∞|=Y1M}[<h∞m8(→n,<~≤edλ∩→$
;Xs∞\→<h ]9z≥∧∞≤[yn,;<c!,→;;mn⎇≤X.M;Y`
⎇h∃
t~;<
L;9;ND~~<d {{<∞↑_=~-⎇\h≠md≥~→$ {{<∞↑→<KDλ(≤z
}]β"MM<⎇λ
|H≤Y,l<Y;L<<h_.∞→8<N4_=λ∞M→(→-lλ≠yD∞~→( ≡]~8mL+C"JM→(_..~8{ T≤≤Y.<;]≤d
8;↑$ {{<
M8x= \λ_{mly<≥∞4~;H ≥H_ ={Xz.<(≥x/∃Hλ∃
(β"NL8z≠M≤x;λ
l=≥4LT≠yH∞M→(≠,≡→<Z,≥λ≥{n]→λ∪,≥y(→
≤YZ0n]≥λ≤L\9~;Lt→[|D∞{{9-⎇Y(β!.;YP-]9~8.$≥z=
∧≥≤Z,⎇{[{,↑≤↑( ≥Yλ_-l;≡<m≡kC"AQ@↓E\zz.∧ jc!%\|_,<<h '1"KZ-l→;]∧ε επc"S-⎇|Y+∧λKTKDαEP;D
;]≤M|≥8p~~ww⊂*≠P:42H6pz4→vpz4XyP7`& digitad Signal proCessiNe :
part I0∀A¬YOKEIBP⊃β'∪'∨?v{7/L/∩bε≥lBπ& Tεn␈>@ε⊗.≤ZFN↔]Dε&@|[=-L(~0↔λ6pz4→vpz4XyW εB↔Wa`/mputer Music JOur`≥C0ZP⊃α4{19αLI1β;zq↓E9αβCA9≠A5AYph($ w≠Cπ∂-→↓ILhQ;';&+;Q↓~aA1AXh*S#O→β'Mπ##∃β4¬↔.⎇λ≠l@⊂:;wH0y:4Xv2yP→yx2aZpv6<H22ytYw2r⊂→7y⊂6]ytqtXw9P*≠P897]4r2PβE:42H10ydXP6pz~2vpz~qpv⊂~r2pyH72rb→r⊂:7H22pvλ;tz4λ4zytXP9tc[0v⊂(≤7qri\ts3GβE$z⊂≤2{4`%ws algabra andtrigonometpy treatine the areaq of equations, graphs,
polynomials, logarithms, complex numbers, infinite series$ radian measures, afd
basic trigonometric functions. In the last qaction he demonstrates the use
of trigonometric funcTions in the represeNtation of musiCal sounds. A problem
seT is included at the end to test the reader's comprehension od the concepts
presented.
.skip 3;
.spaces 1;
.indent 0,0,0;
Moore, F.R. ⊗⊗An introduction to the mathematicq of digital sienal procepπgS]≤@t@~)aCeh↓∪∩tAMC[aY%]NXAQaCMg→←eKf0ACMH↓ISOSQCXAM%YaKe%]N,\Z←π←5aciKHA≠kg%F@~∃)←ke]¬X↑HAY←X\A%∩PA]<X@d\α↓βCAs→a5Yαp4(Q%g∨ε≤<W
β'1PRv≥lF.wDε2cαFπ0hU ≡'"∧→∀ε&O<:W∂≡↑4π&FT ↔πεM≤6∂&≥⎇bε↑d
FF* 8 mly<∃∞P892\p¬nted in↓aCeHαα%β'pβS#∀hR≠/W⊗K↔Iβ∞s⊃βIh∧π'⊗≥n6&␈-↑2bπN,⊗w≡lX D ];XnM;{\eD~;<∞]≤y(∞,<|∪mny+λ ={][mNαz4g[⊗⊂εE≤7v2yK∧E0w→⊂2v %maftapy f@%Y`∪↔⊗K;≥9¬##∃β∂+S#?∩β?C↔⊗ S↔M∧¬vrπM Rε∂>>VoπM_ md≥~_.D≥~→$∞Y89 ↑A"P∀_yP;w\5rr his Way through a`≥Hαβ⊂↔9≠≡$ {{<∞,:→0↔→9P:4→P6pz→y0 al if @QQJAMαK@↔∨Dλ ≡] C!
~→( ≡]~0⊃[2P2`.ds with mope p@I←EIK5bAC]⊂ABAYαKGQβ|∧bπ⊗\hWε.l8 .Tε The c@=[EC]¬iSO\4⊃P∨→∧εFF*∞Nvzε≤∧]
≤{→0→H897k~p∧es a valuabl@∀A`∪W&{@⊗N≥Dε&@|H⊂~~5yrP≥w30vZv4pyλ9tz4λ:42FBαi`≥iISGCI∀ASCi AP∨→∧ε6N≡l≥Bππ-xλl↑|z0↔→Tε They @AaKgKαsQβ¬∧∧'ε@x9⊂≠{2y;~p¬w @ rA←@-#3'm_ L@FE6pZw⊂4`$eas @=[Si@&K;≥β&C∃β7∂##↔\≡FN≡≥Dππ⊗β{p∪≤β(λAC9HAC@'#↔7C ∧π&@h_=M⎇9λ⊂⊃[vx6 )cati@9H 4-\↔'→<\d ↑(⊂→]4πpp@%]NAUβ+@∨"∞8
}]λ⊂↔Yα the p gJ↓←@→β≤∧⊗f∨]H
.Tε~∀4⊂ ;O↑KA↓Mβ1P@%\|⊂⊂Xp¬s 18ε~)vK;∪↔w!↓AF¬CβXQ*7'⊗≤¬{ED⊂¬7`(n, e@⊂X ↓123↔cL∧6}r
x D 8π0v≡⎇2r=4πne@L@tAC9CY`'α8
.P0w2λ867`4ti`≥Nβae@??∪π7LhS eαT∧⊗n<h⊂%@⊂
o@=` ↔I∧∧⊗v" ( m
β⊂#y→|W⊂(_y:⊂→∞α Cl@¬` 'lX
∧ 8π2;q0∂e th∂]Kβ→0⊃H khwvx 5ter
Musi@ A∃@?,ε&v∞β k∧
Xπv↔ T∧ no,∧f@9∧επαs⊗ &'+C"E@9x0qYyP⊂∩l~∀]Sαs∪↔n@ ~@ πF@
Thi`&↓SfABβH∂?? ∧εNwL∧[lNαqz4[w⊂:7H0r24]4{2P≤βy`≥i!KgS@~βWO'v9β@& Tε∞v≥H∞.tyP /d∧AGYα @⊗NβY0~βE0w2λ4πbo@∀A`∪?v+@~r∧
7'⊗≤¬{D ~8 `#usse@LA`∪K∞#'S'|¬f∞b 8 mly<⊂~≤β of ti`≠EIJAC@~β ↔≥lr@ ¬22]2y6t[2rεE_<P:4→P92`,ati`-α)βOSα,Vv?M∞2ε@yH⊂~~2P40\αh ←]%GfASαqβ@& Tπ>→89∂∃αyz0]2P8 /p¬`∪'|¬bε@yH⊂⊂H8∧one,∧~*&C∃βπ⊗{[∃β≤¬vv≡L¬0→Zww⊂ /d∧A#,¬FnF⎇H
∂$≥x<d
8π9h~y2r by the di@MG←mKβ∪eβ β∀πεGα8 tXtyzεBα@
@?αX M≤αy⊂ 4hat @∧AaKe%←@∪'~β←π[,∧f␈⊗β(⊂⊗X|P12H92x 2esente`λACLA`∪#*β@∨.β(⊂↔Yα si@5aP∪∀hS@≡Nβ]0→[tr0vλ8πa`-α+⊂⊗@|[<e@⊂)z9_{w⊂ $em`∨]MieC@&+@~πM Rε∞-x
LT_8p↔]yz4`#al c@=]GKaβ#@~Q(λO∀≤≠⊂↔]8∧ing h∂khαβS#∃∧εf∂⊗α;p~\β waveshapes p@I←@∪W≤∧V"ε,ε( ≤α24`.dεAgSαs∃β←∂3↔Md∧hU↑8
-lh≥~ T_;X-O<z0→H0p∞d↓aQ←IQS]NAββ@⊗@yx 0[yP7`& JamepεAα\αα7??⊗+@∩ε≥lB∧Vβz≠Dλβy2`9,
@!JAiQ∃\Aae=I`↔∂,ε2ε∞β<∪
≡≥9→$ 8π2εB392`1u` @;≤π∩πεMx
∞P7s⊂≥42P &irstdbAa¬` @&≤≥G4≠yH ∀_{⊂⊂\αi`≥Kβ!βπl@λ ≥H≠p⊃≠p¬ tone.
Fi`≥C1YrAQ∀AQS]-`
βSF)β@'⎇tε↔J∞λ M}≠xp∀[3P9`)mu`→CQS]NAα β∂3∂∪';↔ ∧π&@{Y( /(≥0→Zw3FE_wvx*]2y⊗sYw2y0]2r⊂ 3ine @]CmKf↓ChACAae@?αλ M≤=→( @92xzYw1t`%pεAC]⊂AC@7∧c'SW&+@~αα_9 M=~0≠→F@
`'βK;C#,ε6O~α(∃
(_<NM8{⊂∩H1ww:_tp∞s pπ←[J↓[CiPα↓#@&
x
,@t⊂77]⊂2w7]pπh @Q↑AEJ↓←mKe]QK@3nK;≥∧hSπ;⊃∧¬⊗v≡LX ↑h_ ⊂≠4yz o` Ae∃IKeKαs∂/4λλ.D≥~→$ 8π2.
.nexpλAaα ⊂≡,¬FEβ∧¬∀] KGS\4⊂ ;∂,¬g&/'1P@$αX A
λ∧]K]⊂p 4λhQ∃E=⎇;#↔]λ¬rα¬⎇ ↔"ε∀λ
}~8h$∧∀{p⊗YP82`/ph JAα≠π9∨α@λ∞p¬e @QQJAMα{@⊗/>@λ @4πr @QQJAiIK@↔Mph"←↔d¬Bb∧α(⊂⊃[zr27 z⊂2`6en c@=[aeKαC↔;⊃∧εFF* .&∞v= W4≠x@⊂≤αh∂←ILAM@?⊂∧π&FT
G.8π5@!
Si@9GBAi!JAi←ASFASαs[?34∧W4
λ⊂∩~yqt`0li`≥Kβ→1βSG∪↔*
_ D∞z~0⊃Z⊂ @!CmJAα{;#E∧∧⊂hVβ:0↔~vpv⊂~w3{v→p∧ge, I f@∃Y`⊃β&C∃β7|ε7"ε|dεoJ∞M⊗n(≥x.∀≤|⊂∩[8⊂27Zw3P)→vrr4XvεE)→pr4w→P4w≠y22yλ:7P#\0yx⊂≥42P6[yz⊂!_ytqP_ww1b\:9Wλ$P"$Q⊂62p\5⊂0@≠4πt,
λbutit took alkngtiee dh∂dA5JAi↑↓EJAC YJAi<A]CeI←nAI=o\Ai!JAMSα+3∪M¬#<4+&C∃βO∧+∂'≠L∧2ε∂,\↔
ε≡λ ∞-βx94Xz2P*≠P6zyZqP∀8_y:4q]v0y6≡P4w engineariNg
and math -- I've neve@H@↑Ogα+↔9=¬≠W∂!∧∧6}o
H
,<=→9∧
X<Ym⎇J(λ
M→(⊃M≤9→β!-βs⊂![vx:z→y⊂6z\tqP4\β neW, and consequeNtlp∩AαK;OCM∪↔Mβ∞c1βO⎇∪SMβ|04) ⊗ ;∪←∞;?9 ∧επ.⊗M_6∂&≥yg~R∧ ∩ε>}@π&@h_Y$∞≤Y5∞O(→{m|λ_=∧∞y90∩~w3P 4hese out.
λ αI inclUded @QQJAg=k]HAβ∪↔∂? get a Ph.D. in
engineering.