Adequate Trust Traceability of Tractability Theory Based Upon

8/20/2019 Adequate Trust Traceability of Tractability Theory Based Upon

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Adequate trust traceability of tractability theory based upon {(metric, driven), (instill, infuse), (custom,

bill), (w R x, m T y)} to invest inside intellectual inspiration

Said Mchaalia, Elizabeth f. Schneider, Elizabeth Bringsjord, Anne Mette Holt , Susanne Weber, Wallace Charity,

Cheryl Wallace, Virginia arrard!Burnett, Elizabeth a. "ubrits#y, Elizabeth $ostanda % Mylene Syl&estre

Said Mchaalia '' engineering e()ertise inside e(erting e()loitation of discrete e&ent si*ulation

+draft co)y August -th -/0, e*ail' [email protected] 1

not ali&e not aloud, not a2ay

ne&er to feel *y life so sad

ne&er to, feather any i*)osture


In fact, to surround trust traceability of using utility that is convenient to produceintentional logics of performance across balance benefits and its basic built inbehavior, mount management of mapping pair (w R x, m T y) should comply withnew neat networking of intellectual inspiration to drive growing upon requirementbelong to wellness and knowledge cultures of howtos !ence, generating integratedsocial systems feathering optimal finance outlets should construct free aware wayfor any need of life requirements, which are"" to eat, to drink, to live, to be quiet andmore Therefore, many several study across people parliament are dealing with this theoryto create convenient atmosphere for anyone to reach mainly aim ob#ect of live,whereby vegetables, meals, meats, water, vins, adequate houses, should be readyto satisfy continuity of concerning comparative computing around liable logics andfocussing on traceability tractability of mount management

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ne&er to fail inside a scar to burro2

ne&er to try to loose inner 2onder

ne&er to *iss o)en *ind


ne&er to co&er shar) highness or 2ellness

ne&er to share breath or soul

mailto:[email protected]:[email protected]:[email protected]


2/47


ne&er to cry for chair flo2

ne&er to carry a hea&y dra2

ne&er to *eet enough destroy of 3oy


ne&er to harry for lo2 la2ne&er to *ount surround sho2s or )ies

ne&er to schedule around tie

ne&er to *odel it 2hen it is aside

ne&er to handle idle design

ne&er to su))ort hierarchy joys


Therefore, basic built in behavior of balance benefits should comply with robust control of liable laws, which havenevolving by Lord or by His representative summit leaders who are involving inside justice operational returns and

legislative law's inventors. Although to focus on modeling modes of this basic built in behavior of balance benefits,mapping pair !, y" such that#

$. ! % add &$, ratio of $ to srsin""(. y % add &$, ratio of $ to srcos"" or

$. ! % ratio of multiplysrsin", srcos"" to srsrsin" & srcos""

(. y % ratio of srsrsin" & srcos"" to multiplysrsin", srcos"" or

$. ! % srTA)"

(. y % sr*+T" or

$. ! % add &$, ratio of $ to e!p&abs"""

(. y % add &$, ratio of $ to e!pratio of $ to &abs""""

-ore ever, balance benefit basic built in behavior envelops e!citing environment of traceability and tractability orderinglogic thoughts and liable laws of driven design belong to democracy use and justice utility. Hence, many several

surround studies are dealing with stochastics and proposal probability to fi! ideas across trust theology andtransformation theory for any proposal social symboliation and system synchroniation.

/ue resulting reality fashionable flow of stochastics and proposal probability, basic built in behavior of balance benefitscould then transmitted into following functions defined below#

$. ! % srsin"(. y % srcos" or

$. ! % e!p&abs""

(. y % e!pratio of $ to & abs"" or

$. ! % ratio of abs" to add$, abs""

(. y % ratio of $ to add$, abs"" or

$. ! % ratio of abs" to add$, abs""

(. y % ratio of $ to abs$ & abs""

Therefore, abs" could be eual to any positive define function that should ta0e nil or ero value at least once a time.-any several functions could define this abs" functions, which are#


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i. abs" % Log$ 1 absf""ii. abs" % f2 . e!pf"

iii. abs" % ratio of sin2.cos2" to sin2 & cos2"2iv. abs" % ratio of sin2 & cos2"2 to sin2.cos2"

v. abs" % sin2vi. abs" % cos2

vii. abs" % tg2

ii !. abs" % cotg2i! abs" % f2 % srfunction"

4ot e(citable not a&ailable not terrible but sure allo2able

unless you are 5uite ne2

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not against to be aside

not across to be align

not around to be at ti*e

6han# od for that than# od for that than# od for that

Well, 7 feel free to trust *y tri)8s 2ay

Well, ne&er to cry, ne&er to to resign, ne&er to be u)set

6han# od for that than# od for that than# od for that

4o, to )ro&ide any alar* behind

4o, to ad&ance any doubt besides

4o, to attain any hearty hurts around

But sure to stay healthy ahead

Although sure to shin to atte*)t a2ay

3n fact, reality fashion flow of basic built in behavior of balance benefits could help many several social sciences'

inventors to ta0e advantages of management disciplines in order to achieve serious secrest across trust theology and

traceability tractability theory. 4alid variation of people parlement design should then describe main results of this trustacross traceability and tractability utilities to reach e!citing environment program.

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e&en though in&est across delicious tie

although sha)e s*art lo&e

2hereas result in cry or rue8s try


2hen already to be hardly dar# but surely to har* *y heart

during any drea* or tri) of *ind


ty)ically order for *oney

s*oothly loo# for job

Hence, :;esus,


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5ven though, modeling modes concern balance benefits should invest inside intellectual inspiration to fill infundamental returns of fashionable reality flow of inuiry uestion string 6what to do7, why to manage76 belong to

mapping pair w 8 !, m 8 y", which should advise any corresponding control data flow graph theory to lin0 liablelinguistic logics into resulting growth of operation balance through deep driven draw description of discrete event

simulation and financial economic reuirements. Therefore, w 8 ! % a draw description of data and control flows belong to edges transportation and transfer transmission of information traceability and tractability. 5ven though, m 8 y

% mount returns of results to be inside intellectual inspiration that has been evolving for achieving aim object control of

any corresponding industrial plan or any chart operation logics. 3n fact, mapping pair w 8 !, m 8 y", which could betransformed into intentional intellectual inspiration belong to this inuiry uestion string way 8esults in or 8eturns 6!6,mount Translate 6y6". Thus, this w 8 !, m T y" is more convenient for transfer transmission of theory generating

traceability and tractability of binary and 9oolean logics.

3n fact, 3ntentional intellectual inspiration insight should provide more comple! fle!ibilityto be ready to treat all possible proposal concrete cases and concerning configuration

belong to 6forgiven, enemy's e!pertise, e!citing environment, energy e!ploitation,e!actness, mount management, ...6 Although, digital computing configuration is based

upon symmetric synchroniation of and not(), which are involving within flip floplogics dynamics to perform traceability terminology and tractability techniues of logic

thought customiation and valid variation of valuable euivalence productivity.

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3n fact, surround system function outlets feather financial orders to result in major main mechanisms of

traceability terminology and tractability techniues. Although, symbolic set % :metric, driven", instill,

infuse", custom, bill", +2 3 (, * 6 y1; could then be used within accordingly to architectural approaches of

logics dynamics to support balance benefit behavior draw description and to generate responsible reuests of

computing configuration.

Hence, within new networ0ing of inuiry uestion string


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5ven though using this conceptual configuration of faster, slower" mapping pair to generate focussing on

function outlets of surround system should comply with math's modeling modes, which are involving inside

fundamentals of balance benefit behavior and e!pertise engineering environment. Thus, most significant

synchroniation of this math's modeling moderation could be achieved based upon ##

)air =log((∣ f ()∣+$)

∣−$+ log((∣ f ()∣+$)∣ ,∣−$+log ((∣ f ()∣+$)∣

log((∣ f ()∣+$) )air =(−$+ $ sin> ,−$+ $cos> )

)air = ∣ f ( )∣.e f ( )

∣−$+∣ f ()∣. e f ()∣ ,∣−$+∣ f ( )∣. e f ( )∣

∣ f ( )∣.e f () )air =

∣ f ()∣∣−$+∣ f ()∣∣

,∣−$+∣ f ( )∣∣

∣ f ( )∣

)air = sin>.cos>

( sin> −cos> ) 2 ,( sin> −cos> ) 2

sin>.cos> )air = −$+

$

e−∣ f ()∣ ,−$+

$

e

−$∣ f ( )∣

)air = f> ()∣−$+ f> ()∣

,∣−$+ f> ( )∣ f> ()

)air = tg> cst $,

cotg> cst (

Hence, valid valuable variation of traceability transformation and tractability techniues handle transition


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translation logics and mount management dynamics to operate growing upon of actual logics language of

machinery structures and medicine architectures. >urthermore, logics dynamics languages deal with

uncertainty utility to provide growing upon design description of liable laws handling computing

customiation through controlling functions, which are#

uncertainty= ln(∣ f ()∣+$)$+ln (∣ f ()∣+$)

uncertainty= sin> , cos> ,∣sin∣ ,∣cos∣

uncertainty = ∣ f ( )∣. e f ()

$+∣ f ( )∣. e f ( ) uncertainty= f> ( ) .e

f ( )

$+ f> ( ). e f ()

uncertainty=log((∣ f ()∣+$)

$+log((∣ f ()∣+$)uncertainty=e−∣ f ( )∣ ,e

−$∣ f ( )∣

uncertainty= f> ()

$+ f> () uncertainty=

∣ f ()∣$+∣ f ()∣

These functions could be used to maintain major main dynamics of controlling threat tas0 tractability and

judging job scheduling dynamics that involves#

while(constraint conditions) do {statements}

However, traceability terminology and tractability techniues should then mount trustful theory and faithful

theology to bring up any transition translation language into art class customiation of under consumer seal's

search and study of scheduling cases. Therefore, to resolve responsible reuests of job scheduling and timing

simulation, joining pair, uncertainty" in couple inuiry uestion could then provide valid estimation of

judging narrows, which have to invo0e intellectual inspiration insight and human higher hierarchy home's

ideal identification. This, why proposal chess pule could be nice neat networ0ing of test&try traceability

terminology and tractability techniues to allow binary basic built in behavior to ta0e turn, when disposal tie

traditional logics should enhance focus ons of responsible reuests.

Although, joining pair, uncertainty" within any logic thought traceability and linguistics level tractability

could then evolve e!pertise engineering to mount using utility of sliding slice window simulation, whichreuires to employ smallest slice of time ?,??$ nano seconds as step or slice step", then to provide discrete

event simulation based upon time % integer slice % ?,??$ nano seconds" to maintain true genuine

dynamics design of shining scheduling belong to rising sun, falling sun" mapping pair description. This

design description allow any own operation opportunity to invo0e discrete event environment perform

faithful trust of liable logical localiation of proposal value Bun, -oon, -ars, Btar's B0y, -obile satellite,

air plane, space shuttle, best class chess move for white or for blac0, rapid motor to ensure trips and travel

around globe, mobile robot robust control to engender bas0etball competitions, best graphic confidences, .. "


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3n fact, this driven design of symbolic :metric, driven", instill, infuse", custom, event", parametriation,

valuation"; use utility could integrate intentional intelligence inspiration insight to focus on comple! digital

draw description based upon ne!t state change processing. Thus, chess games and more other financial

theory could include this symbolic surround set % :metric, driven", instill, infuse", custom, event",

parametriation, valuation"; to fill in optimistic opportunity of using job scheduling that is involving within

any disposal proposal mount management of linguistic language.


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9ut this surround symbolic set that is % :metric, driven", instill, infuse", custom, event", parametriation,

valuation"; could be then employed to verify valid valuable variation of rational ratio returns.

8ecently resulting reality fashion flow of intellectual inspiration insight should provide e!istence of

e!pertise environment that is ready to invo0e growing upon of gathering information dynamics. Thus, what

is the problem7 The matter is bring up intentional inuiry uestion string of 6higher hierarchy harmony

should balance logics orders at any proposal or disposal time6. 9ut, operating signs should mount

management tractability to ensure traceability terminology of social scenery shows since maintaining pair

productivity. However, wonderfulness and wellness e!igences should mount valid valuable variation of

concrete control and clear customiation of using utility handling dar0, clear" mapping pair to provide more

fle!ibility of using binary basic built in behaviors. Hence, using symbolic set :metric, driven", instill,infuse", custom, event", parametriation, valuation"; to operate job scheduling based linguistic language

could be art class computing configuration of any logics dynamics to support function outlets of surround

systems that could feather optimal financial orientations. Therefore, this driven design of symbolic :metric,

driven", instill, infuse", custom, event", parametriation, valuation"; use utility could integrate intentional

intelligence inspiration insight to focus on comple! digital draw description based upon ne!t state change

processing. Thus, chess games and more other financial theory could include this symbolic surround set %

:metric, driven", instill, infuse", custom, event", parametriation, valuation"; to fill in optimistic

opportunity of using job scheduling that is involving within any disposal proposal mount management of

linguistic language and liable laws of social synchroniation to perform mount management of ideas.

Although, resulting in reality fashion flow of linguistic logics should purpose mountmanagement of traceability techniues to design eui&computing configuration of chance

probability to get into aim objects of e!erting e!pertise environment.3n fact, something that is wrong could never provide e!istence of powerful neat networ0ing of

e!pertise e!ploitation and driven dynamics of design and draw description belong to resulting inreality fashion flow of linguistic logics and mount management of traceability tractability to

allow ## what if insert this is a flow to do to rue to wish to cry then after to surround anysounding aware advises... % something that is unjust could never allow awara way into

powerfulness of liable lawsHence, to wish follow powerful dynamics of liable law production mechanism, faithful trust of

linguistic logics should comply with proposal probabilistic stochastic processing to provide preference illustration and to delete illusion insight across social system focus ons that is

operating financial outlets.

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3n fact, function orders of surround system feather optimiation through utility use of :metric, driven",

instill, infuse", custom, event", parametriation, valuation"; symbolic set, which should be ready to define

resulting in reality fashion flow of diagnostic dialog of consistent computing configuration. Therefore,

disposal proposal surround set :metric, driven", instill, infuse", custom, event", parametriation,

valuation"; could then evolve great growing upon scenery shows of following focus ons#


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$. intellectual inspiration insight# due to maintaining mechanism of e!pertise e!ploitation, engineering

environment e!ert intentional implementation of enhancement algorithms and adjustment advances

architectures. Hence, traceability technology of transition translation terminology and tractability

theology and theory of transaction transportation could then comply with major main mount

management of mapping pair technology and terminology, whereby joining a, b" in pair to perform

consistent suitable valid valuable variation of mathematical modeling modes, balance benefit

behavior draw design descriptions should involve following focussing on math amount uantities#

a=−$+$

sin> , lim

∀any → )i

(

(−$+$

sin> )=+∞ b=−$+

$

cos> , lim

∀any →?(−$+ $

cos> )=?

a= sin>.cos>

( sin> −cos> ) 2 , lim

∀any → )i

( sin>.cos>

( sin> −cos> ) 2)=+∞ b=

( sin> −cos> ) 2 sin>. cos>

, lim∀ any → )i

@

(b)=?

a= ∣ f ( )∣

∣−$+∣ f ( )∣∣ , lim

∣ f ( )∣→$(

∣ f ()∣∣−$+∣ f ()∣∣

)=+∞ b=∣−$+∣ f ()∣∣

∣ f ()∣ , lim

∣ f ()∣→ ?(b)=+∞

a= log((∣ f ()∣+$)

∣−$+log ((∣ f ()∣+$)∣ b=∣−

$+log((∣ f ()∣+$)∣log ((∣ f ()∣+$)

lim∣ f ()∣→ ?

(log((∣ f ( )∣+$)

∣−$+log ((∣ f ( )∣+$)∣)=

log ((?+$)

∣−$+log((?+$)∣=

?

$=? lim

∣ f ()∣→ ?(∣−$+log ((∣ f ()∣+$)∣

log((∣ f ()∣+$) )=+∞

lim∣ f ()∣→$

( log((∣ f ()∣+$)

∣−$+log((∣ f ()∣+$)∣)=

log(($+$)

∣−$+log(($+$)∣=

$

?=+∞ lim

∣ f ()∣→$(∣−$+log((∣ f ()∣+$)∣

log((∣ f ()∣+$) )=?

a=−$+ $

e−∣ f ()∣ , lim

∣ f ( )∣→ ?(−$+

$

e−∣ f ( )∣)=−$+

$

e−?

=? b=−$+ $

e

−$∣ f ( )∣

, lim∣ f ( )∣→?

(−$+ $

e

−$∣ f ()∣

)=+∞

a=tg>

cst =

6A4>

cst b=

cot>

cst =

cotg>

cst

a= e−

∣ f ()∣

∣−$+e−∣ f ( )∣∣ b=

∣−$+e−∣ f ()∣∣e−

∣ f ( )∣

a=e

−$∣ f ()∣

∣−$+e−$

∣ f ( )∣∣b=

∣−$+e−$

∣ f ()∣∣e

−$∣ f ( )∣

a=

f> ( )

∣−$+ f> ( )∣ b=

∣−$+ f> ()∣ f> ( )

(. Thus, corresponding mapping pair %log((∣ f ( )∣+$)

∣−$+log((∣ f ( )∣+$)∣ ,∣−$+ log((∣ f ( )∣+$)∣

log((∣ f ( )∣+$)is liable

logic linguistic law of binary basic built in behavior through theoretical employment of 9og as

logarithmic base to provide resulting traceability management of something measurable during

judgment of intentional inspiration insight. )otice that maintaining mapping pair 9og abs?f+1@

/" 1 $ " % $, 9og abs?f+1@ -" 1 $ " % ?" is very interesting importance of applied metric&

measurable computing configuration during elaboration processing of driven&cycle based simulation

and job scheduling traceability techniues. Thus, rational reality fashion flow of judging traceability

tractability techniues should obey to conceptual constraint condition % #conce)tual ={?⩽∣ f ()∣⩽$} . This this conceptual constraint condition - abs? f+ 1 @ /,could then be real dynamics of focussing on reality fashion flow of threat tas0 inspiration

intelligence. Hence, intentional threat tas0 inspiration intelligence balance this driven constraint


10/47

condition - abs? f+ 1 @ / to be integrated within rational ratio returns such that#

{?⩽∣ f ( )∣⩽$}={?⩽ ( y

⩽$} , →∣ f ( )∣= sin> , cos> ,∣sin∣ ,∣cos∣ , ∣ g ( )∣$+∣ g ( )∣

, e

g ()

$+e g () , ln

(∣ g ( )∣+$)$+ln(∣ g ( )∣+$)

, ...

→∣ f ( )∣= ∣tg ∣$+∣tg ∣

, ∣cotg ∣$+∣cotg ∣

,tg>

$+tg> ,

cotg>

$+cotg> ,e

−∣ g ()∣ ,e

−$∣ g ()∣ ,

e∀

$+e∀ , ...

C. 9alance benefit behavior could then be used to evolve parallelism mechanism, which has been

involving within integrated intelligence inspiration implementation in order to support# faithful

outlets of surround system that feather financial objects. 9ecause, when chosen valid valuable

variation is given, there is a symbolic symmetric synchroniation of potential traceability to fi!

linguistic language through this mount management of balance benefit behavior#

3ight side % a= log((∣ f ()∣+$)

∣−$+log ((∣ f ()∣+$)∣ 9eft side % b=

∣−$+log((∣ f ()∣+$)∣log ((∣ f ()∣+$)

)ot to decide or complicated comple! configuration 3ight side left side

+therwise proposal probabilistic stochastic shows *omparative computing D%, E%, E, D, %%, ...

. >urthermore, this balance benefit behavior could then obey to define mount management of e!erting

e!istence. Therefore,


11/47

3n fact, e!istence of powerful driven dynamics should obey to truth and genuine growing upon traceability

tractability.*oncrete configuration of inuiry uestion 6e!istence environment of Lord orod, safe science and balance benefit belief6 is intentional subject of many several

inventors involving inside manufacturing industry of different distinct engines,which are Lord's team and Batan's traceability managers and own operational

tractability translators. Therefore, own operational traceability translation processing should then interview focussing on aspects to interpret suspected 0inds

of lordniss and its powerful management traceability that is ready to invo0e safesystematic dar0, clea" mapping pair presentation of deep driven dynamic of draw

description of psyche soul breath basic built in behavior discussing situation of judgment and supporting prediction 6need ai* object 6".

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12/47

concrete configuration of psyche should breath, should then invo0e intellectual inspiration insight to enhance

e!istence environment of e!pertise e!ploitation handling this unit, rest" mapping pair utility.

3n fact, 6e!istence environment of 6unit66 should then invo0e driven dynamics of linguistic logics to control

selfish scheduling option feathering optimistic outfits. 5ven though, 6e!pertise e!ploitation of 6rest6 to

return6 should then wrap upon valid variation of adjustment advances to invest intentional 0nowledge

cultures, which could help hierarchy harmony to build surround autonomy inside modeling modes of

inspiration insight.

-any several ideas provide boundary limit judgment dynamics to result in scenery shows of constraint

conditions such that ## - ratio of a to b /. >urthermore, 6? % nil % null6 could assign associate valid

variation of 6)+Twanted +8 desirable draw description database"6, although 6 $ % one % T8G56 could

then adjust faithful trust function. Hence, find faithful function realiing 6 ? D% ratio of a to b D% $6 should

then overdrive draw description design of measurable metric uncertainty issue to evolve e!istence

environment of e!pertise e!ploitation. Therefore, faithful function realiing 6 ? D% ratio of a to b D% $6, are#

sin> cos> ∣sin∣ ∣cos∣

e−∣ f ()∣

e

−$∣ f ()∣

f> ( )$+ f> ( )

$

$+ f> ()

∣ f ()∣$+∣ f ()∣

$

$+∣ f ()∣e

f ()

$+e f ()$

$+e f ()

ln ($+∣ f ( )∣)$+ln($+∣ f ( )∣)

$

$+ln ($+∣ f ()∣)tg>

$+tg> cotg>

$+cotg>

sin>, cos> , f> +/D f>1, e()+! absf+1F1, e()+! /absfF1, 9og+/ D absf+1F1 +/ D 9og+/ D absf+1F11, /+/ D e()+f+111, ....

/riven design of resulting reality fashion flow should then grow upon dynamics of

character description, which lin0 liable laws into proposal stochastic approach ofcomputing configuration across linguistic logics that is ready to integrate feelings sign

as symbolic synchroniation of social engineering e!pertise that could handle love andlust and supporting sign symbolism of balance benefits. Thus, this traceability

traceability management should then return valid variation of psyche soul breath behavior into e!istence of super strength composing computing configuration of logic

thoughts and driven draw design of characteristic scenery shows.

3nvest potential mount management within traceability tractability techniues in orderto ensure e!erting e!ploitation of engineering environment and to envelop dynamics

design of character fashionable flows.

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ithin any adjustment advances of traceability tractability management, intellectual inspiration insight

should invest more invasive potentiality across computing configuration of faithful trust ordering basic built

in behavior of balance benefit burrows and valid variation of proposal stochastic probabilistic proceeding.


13/47

3n fact, mathematical modeling modes deals with holding hierarchy homes as traceability tractability of#

$. surround autonomy dynamics % any psyche soul breath basic built in behavior should then invo0e

resulting in reality fashion flow of ensuring envelops, which has to provide deep driven draw

description of translation transformation technology concerning linguistic logics and balance benefit

basics. Hence, using joining signed, unsigned" in pair to evolve e!erting e!ploitation of

parametriation, valuation" mapping pair could then feather ordering functionalism of this ensuring

envelop in waveform functions such that#

ensuring en&elo) G sin>.cos>.+sin> ! cos>1en&elo)=G

sin>

A

.cos>

B

.( sin>

A

−cos>

B

) , ∀∂ ( A)≈∂( B)

ensuring en&elo) G f>.g>.+f> ! g>1 +f> D g>1 en&elo)=G

f> . g> .( f> − g> )( f> + g> )I

,∀dyna*ics=( f , g )

Hence, ordering other function form of boundary information delivering resulting in reality fashion flow of

corresponding driven data base involving within accordingly to adjustment advances, could comply with

system sign functions optimiing focus on traceability tractability technology.

0

5

10

15

20

25


14/47

(. modeling modes of intellectual inspiration insight % psyche soul breath basic built in behavior should

then judge valid valuation of proposal parametriation that mount corresponding liable law

languages. Hence, joining genuine, unjust" in pair to be disposal stochastic probabilistic

parametriation of corresponding valid valuation, which invest potential management within

operational intellectual inspiration insight. Hence, comparative configuration of inuiry uestion

strings 6this is great than ..., this is less than ..., this is lossy & less ....., this lossy ....6 could then scare

scheduling shins of timing simulation and its homologous job scheduling to provide fashionable

flow of valid evaluation generating euivalence uantity dynamics belong to resulting in

mathematical modeling modes, which are ready to use## +!/ D /sin>, !/ D /cos>1 *a))ing )air or

+sin>.cos>+sin> ! cos>1>, +sin> ! cos>1> ?sin>.cos>@1 *a))ing )air or +tg>, cotg>1 *a))ing )air or

+a*)lificationI?f> +/ D f>1@, a*)lification I ?/ +/ D f>1@1 *a))ing )air or +a*)lificationI?9og+/ D

absf+1F1 +/ D 9og+/ D absf+1F1@, a*)lification I ?/ +/ D 9og+/ D absf+ 1F1@1 *a))ing )air or

+a*)lificationI?e()+j.f+11 +/ D e()+j.f+11@, a*)lification I ?/ +/ D e()+j.f+11@1 *a))ing )air or ....

use issues of +!/ D /sin>, !/ D /cos>1 *a))ing )air a*)lification . −$+

$

sin> ,−$+

$

cos> ,∀a*)li≈$

use issues of +a*)lificationI?9og+/ D absf+1F1 +/

D 9og+/ D absf+1F1@, a*)lification I ?/ +/ D 9og+/

D absf+ 1F1@1 *a))ing )air

a*)lification . ln ($+∣ f ()∣)$+ln($+∣ f ()∣)

, $

$+ln($+∣ f ()∣)

use issues of +a*)lificationI?e()+j.f+11 +/ D

e()+j.f+11@, a*)lification I ?/ +/ D e()+j.f+11@1

*a))ing )air

a*)lification . e

j.f ()

$+e j.f () ,

$

$+e j.f ()

use issues of +sin>.cos>+sin> ! cos>1>, +sin> ! cos>1>

?sin>.cos>@1 *a))ing )air a*)lification . sin>.cos>

( sin> −cos> ) 2 ,( sin> −cos> ) 2

sin>.cos>

use issues of +tg>, cotg>1 *a))ing )aira*)lification .( tg> A , cotg> B ) ,∀ ∂( A)≡∂( B)

use issues of +a*)lificationI?f> +/ D f>1@,

a*)lification I ?/ +/ D f>1@1 *a))ing )air a*)lification . f>

$+ f>

, $

$+ f>

,∀∂( A)≡∂( B)

5ven though, resulting in mapping pair surround autonomy, modeling modes of intellectual inspiration

insight" should burrow valid valuation of social sciences and its applied traceability tractability.

-0,15

-0,1

-0,05

0

0,05

0,1

0,15


15/47

>urthermore, judging linguistic logics should then provide grows of corresponding mount management in

order to decide proposal stochastic probabilistic basic built in behavior of driven draw dynamics that is able

to invo0e operational 0nowledge cultures of holding hierarchy harmony, which is capable to integrated

corresponding inspiration insight. Hence, intellectual inspiration insight should then develop more trust and

faithful ordering functions in order to ensure theoretical aspects of mathematical modeling modes and its proposal scenery shows.

Although, c

-0,15

-0,1

-0,05

0

0,05

0,1

0,15


16/47

3n fact, proposal inuiry of appropriate logics lin0 should handle Batan e!istence for

disposal timely manner in order to choose reporting in results based upon what has beendone. Hence, mathematical modeling modes of concrete computing customiation

should then invest inside timing simulation handling event environment of e!pertise

e!ploitation and of euivalence uantity. Thus, euivalence uantity should providemore sufficient synchroniation of logic traceability to invo0e sure e!ploitation of

historical aspects and e!erting effects belong to human desirable aim objects. Although,

euivalence uantity mechanism should then evolve real resulting in measurable metricapproach of fundamental driven dynamics, whereby lordniss language should be

involving within corresponding hierarchy homes.

$ =4 8€& \•2 1C/ =16/& 012'5>A*'' _/& *' 5:^D?K\/ 5:[:{1K 5>A-*O =N P4 =1D{1N 1 5>]^N &--/' \--DA K\4 \?8C9 5:N 1' 5>?8C9

=4 2 H \-C:1

mapping pair, tractable intellectual could develop major main procedures for invasive tractability tendency of

investing efforts inside liable logic laws, which have been invo0ed to be too intelligent in order to surround

any clear computing customiation of justice and liable 0ernel engine of judgment proceeding# use

mathematical modeling to define resulting in reality fashionable flow reuirement through historical

hierarchy harmony of uietness since 5arth first construction until having powerful processing of Lord's

similar safe synchroniation". Hence, to improve governable system that is ready to handle job scheduling

across democracy, human psyche soul breath behavior should be un0nown ! in order to support anyaccordingly to resulting fashionable flow of proposal stochastic and probabilistic computing design, which is

always ready to handle art class hierarchy homes of rational ratio returns. However, yard or driven dynamics

handling draw description should generate integration of intentional sign symbolism based upon genuine true

9oo0. Hence, to invo0e intentional inspiration insight to generate integration of justice processing and

judgment proceeding of what is necessary to govern human breath basic built in behaviors. Although,

concrete computing of translation transformation of traceability should order sign symbolism of valid

variation concerning digital draw description. Hence, clear control data flow graph should invo0e +2 3 (, *

3 y1 *a))ing )air that is resulting in inuiry uestion string way 8esults in 6! % choose one character or

byte or char type to be involving within prediction proceeding JJ y % yard % close contour or surface of

surround sign symbolism, which should refer to surface integration Kmagnetic flu! % volume integration

Kcurrent edge flow whose its drawing description is shown below

surface integration Kmagnetic flu! % &olu*e integration ? current edge flo2 @

*ount = f (∬ flu(*agnetic

)= g (∭edge flo2

) ,∀ )ro)osal = f (∬as)ect effect

)= g (∭ yard focus on

)

This integration of corresponding intellectual inspiration insight handling joining aspect, effect" in pair in

order to depict driven dynamics of translation transformation. Thus, this +2 3 (, * 3 y1 mapping pair

provide mount management processing that is eual to % tractable processing of traceability technology.

hat does this mean7 >irst of all traceability handles memory architectures, which have been described

below#

ty)edef te*)late class 6 J traceability +I Ma(ByteSize 1*alloc+ sizeof+ Ma(ByteSize 1 I nu*ber 1

Hence, traceability technology should generate driven dynamics of gathering information based upon robust

reality fashionable flows of control data flow graph structures involving inside balance benefit behavior,

which invo0es +2 3 (, * 3 y1 mapping pair that is ready to evaluate incoming edges and outgoing edges.

hy should this +2 3 (, * 3 y1 be used7

$. first of all, proposal ! is a valid representation of responsible reuest deals with ## financial any

money income could be illustrated through valid variation of !, any measurable metric amount

uantity of anything could be shown through valid variation of its incoming flows and its outgoing

flu!, ....

(. second of all ## ne!t state change returns should be involving inside using utility of un0nown aware

advances adjustment. Thus, balance benefit behavior should handle double amount uantities ## oneon right side and another one on left side. Hence, to return bac0 into transition language, any

transition should provide e!pertise e!ploitation environment of transaction technology that is


17/47

involving inside signal transaction % listsignal inde! % i"time event % n.T"". Therefore, through

this basic representation of signal transaction signal transaction % listsignal inde! % i"time event %

n.T""", burrowing narrows of discrete event simulation using mapping pair inde! % i, time event % n,

that has been became through discrete time representation time % n.T" should be used based upon

simple sign symbolism of uncertainty scenery shows such that#

$. ratio of multiply inde! i, any integer n verifying time % nT" to add$, multiply inde! i, any

integer n verifying time % nT"" % i I n +/ D i I n1 .

(. ratio of $ to add$, multiply inde! i, any integer n verifying time % nT"" % / +/ D i I n1.

ratio of *ulti)ly +inde( i, any integer n &erifying ti*e nI61 to

add+/, *ulti)ly +inde( i, any integer n &erifying ti*e nI611 ''i I n +/ D i I n1

tractable=i∗n

$+i∗n ,∀ inde(=i ,∀ ti*e=n∗6

ratio of / to add+/, *ulti)ly +inde( i, any integer n &erifyingti*e nI611 '' / +/ D i I n1 tractable=

$

$+i∗n ,∀ inde(=i , ∀ti*e=n∗6

Although, this basic two representation of discrete event simulation utility evolves proposal driven design of

inuiry uestion string 6tri functions should be chosen first to resolve any corresponding ambiguity of

advance adjustment concerning valid variation of incoming amount uantity and outgoing amount uantity.

Therefore, consider transaction bloc# B +&-, &/, ....., &i, ...., &n1 , whereby v % value. Thus, this value list %

v?, v$, ....., vi, ...., vn", which could be written below as #transaction bloc# B +&-, &/, ....., &i, ...., &n1 transaction= &?

? , &$

6 , .... , &i

j.6 ,... , &*

n.6 ,... ,

should be ordering from smallest one to greatest one. Then, becoming new inde!ing list of transaction bloc#

BB +2-, 2/, ....., 2i, ...., 2n1, whereby chosen inde! i belong to this list 99 could be assigned to associate

by first storage synchroniation processing" inde! i belong to list of transaction B +&-, &/, ....., &i, ...., &n1.

3n fact, 8esulting in friendship should fi! trustful narrows, which have to operate financial focuson of money source e!istences and its e!pertise environment.

/riven dynamics of democracy should lin0 optimistic objects into desirable mount managementof proposal processing across linguistic logics treating traceability of tractability techniues

handling hierarchy homes of intellectual inspiration insight and resulting in reality fashion flow of

inuiry uestion string 6start up surround grow upon6.Thus, liable laws should invest inside balance benefit behavior for + genuine , unjust 1 mapping pairimplementation in order to create associate social synchronied system dealing with financial

opportunity and faithful optimistic functionalism of open mind architectural structures.

^ H =1]j& _D?H6 56? -7 &3‚K

-athematical modeling modes concerning traceability tractability of digital mount management should

comply with mapping pair genuine, unjust" in order to support system signal functions ordering faithful

outlets, which are ready to surround linguistic logics and invest inside proposal driven dynamics of

translation techniues. Although, translation techniues are te!tual tools, which could be used within

intentional integration of intellectual inspiration insight.

Hence, control data flow graph should evaluate w 8 !, m 8 y" mapping pair in order to describe reuired

linguistic logics of proposal mount management. Although, translation technology should then mount

traceability tractability of driven dynamics that is ready to result in basic built in behavior of balance

benefits. However, linguistic logics should then operate growing upon valid variation of itinerary languages,

which should be used within compiler optimiation and its growing upon logics dynamics.


18/47

3n fact, +genuine, unjust1 mapping pair should deploy using utility of operational valuation of inspiration

insight modeling modes. 9ecause, error optimiation is serving to implement clear process of regulation and

to bring up desirable aim object to transform processing of thread tas0 technology into desirable aim objects

of display scenery shows. Although, major main implementation of using genuine, unjust" mapping pair

traceability tractability, is to operate justice and judgment processing across sure truth. Hence, resulting in w

8 !, m 8 y" mapping pair could then be used to describe growing upon technology of gathering information,

whereby weighted linguistic logics should be involving within corresponding mathematical modeling modes

such that#

/. genuine !/ D / sin> or genuine sin>.cos>+sin> ! cos>1> or genuine tg> or genuine Dinfinity I

f>+1+/ D f>+11, or genuine Dinfinity I absf+1F +/ D absf+1F1 or genuine Dinfinity I e()+!absf+ 1F1 or genuine Dinfinity I e()+!/absf+1F1 or genuine Dinfinity I 9og+/ D absf+ 1F1 +/ D

9og+/ D absf+ 1F11 or genuine Dinfinity I e()+f+ 11 +/ D e()+f+ 111 K

(. unjust % &$ 1 $Mcos2 or genuine % sin2 & cos2"2 MKsin2.cos2 or genuine % cotg2 or genuine % 1infinity

$M$ 1 f2"", or genuine % 1infinity $ M$ 1 abs:f";" or genuine % 1infinity e!p&abs:f ";" or

genuine % 1infinity e!p&$Mabs:f";" or genuine % 1infinity $ M $ 1 Log$ 1 abs:f ";"" or

genuine % 1infinity $ M $ 1 e!pf """ N

Therefore, this architectural structure of using mapping pair such as +!/ D /sin> , !/ D /cos>1 belong to

associate genuine, unjust" for valid variation of joining parametriation, valuation" in pair processing.

Hence, parametriation searches surround sign symbolism of valid maths to support linguistic logics

dynamics accordingly to dar0, clear" mapping pair or genuine, unjust" mapping pair. However, valuation

should then compute across mount management that is ready to configure concrete customiation of balance benefit basic built in behavior.

mount management of multi&disciplinary justice and judgment processing of dynamics designs and

draw descriptions of liable logics languages concerning social science progresses should haveintentional inference into financial opportunity that is calling e!erting economy e!ploitation e!pertise

environment and into philosophy engineering library to e!plain and prescribe reuired reality fashionflows of politics, traceability technology, shaping features, and specific focus on to help people

reaching linguistic logics implementation of concerning information insight and inspiration interests.

&871 =-CDEQ16/& }16/& H}8?ƒ& H* 57'

=-DK1 57

Hence, 8otation rules should then allow social synchroniation to provide more dynamics across linguistic

logics and its basic built in behavior to evolve smart implementation of art class dynamics description of

individualism implementation. Hence, any own one should then bring up concrete configuration of financial

planning processing to comply with narrowing needs and its resulting in burrows.

Therefore, based upon basic built in behavior of financial reality fashion flow, major main principles should

coordinate with linguistic logics, whereby >inancial orders should respect intentional investment around

intellectual inspiration and its corresponding intelligence insight, whereby driven dynamics of individualism

implementation should generate corresponding computing along supporting investment of genuine signsymbolism that could help others to achieve e!pertise e!ploitation of traceability engineering.

Bince old generation of social symbolic synchroniation belong to sign symbolism supporting intellectual


19/47

inspiration implementation and intelligence insight dynamics, 8esulting in reality fashion flow of

parametriation, valuation" should rule main major principle dynamics of chosen configuration to decide for

ne!t state change processing at any proposal stochastic statistical languages of boundary limit traceability

tractability enjoying mount management of transaction bloc0 transformation and transportation into

realiation of corresponding aim objects, which obey to float corner encoding and its concerning encoding

e!pertise e!ploitation binary, rotation engine description encoding, ...".

3n fact, digital dynamics driven design should comply with mapping pair processing of truth and liablelogics, which has to invest inside modeling modes of parametriation valuation" principles.

athering operating linguistic logics should rule traceability tractability of using utility investing inside

integration of intellectual inspiration insight during performing processing of resulting in reality fashion flow

of digital computing. Hence, digital computing is serving to understand in deep any measurable metric

approach, which should lin0 measurable metric amount uantity into mathematical modeling mode engines

e!erting e!pertise e!ploitation of linguistic logics. Therefore, using utility of digital computing should

comply with measurable mount management dynamics that is ready to operate concerning linguistic logics

of mapping pair parametriation, valuation", whereby inuiry uestion string 6proposal parametriation

should schedule fundamental options functioning optimiation6 and inuiry uestion string 6disposal

valuation should then determine sign symbolism functions ordering faithful options of optimistic behavior

handling psyche soul breath satisfaction6. However, basic built in behavior of liable linguistic logics should

then generate intentional implementation of parametriation, valuation" processing to provide resulting in

reality fashion flow of genuine, unjust" mapping pair in order to invo0e systematic linguistic logics of

uncertainty measurement and valid variation of traceability tractability such that#

$. valuable mathematical modeling modes ## proposal height, which has been fi!ed at the initial start up

of corresponding simulation. Thus, this proposal height is serving to operate accordingly to linguistic

logics during resulting in reality fashion flow of growing up faithful orders such that#initialI?f>+1 +/

D f>+11@, initialI?absf+1F +/ D absf+1F1@, initialI?/+/ D f>+11, /+/ D absf+1F@, initial I ?e()+!

absf+1F@, initial I ?e()+!/ absf+1F1@, initialI?9og+/ D absf+1F1 +/ D 9og+/D absf+1F1@, initial I

?e()+f+11 +/ D e()+f+111@, ....

(. invest intentional resulting in reality fashion flows to integrate valid business benefits involvingwithin concrete control configuration of linguistic logics mount management techniues. Hence, this

concrete controlling configuration should perform basic built in behavior of burrow, narrow"

mapping pair principle processing.

C. Gsing mathematical table could then invest within ne!t wor0s of intellectual inspiration insight pf

linguistic logics during resulting in reality fashion flow of growing up faithful orders such that#

initial. f> ()

$+ f> () , initial ≃+∞ initial.

∣ f ( )∣$+∣ f ( )∣

initial.$

$+ f> ()initial.

$

$+∣ f ( )∣

initial.e

−$∣ f ( )∣

∣ B∣ ,initial ≈+∞

initial.e−

∣ f ( )∣

∣ A∣ initial.

ln($+∣ f ()∣)$+ ln($+∣ f ( )∣) initial.

e f ()

$+

e f ( )

3n fact, using this major main mount management dynamics to perform sufficient suitable reality fashion

flow of valid variation concerning job scheduling and corresponding timing simulation, in order to

implement simple functionalism of inuiry uestion string 6initial Kf2"M$ 1 f2""6 during trustful

traceability tractability using operation utility of linguistic logics and its growing focus on accordingly to

invasive intellectual inspiration insight of linguistic logics concerning free path modeling mode theory and

translation transformation traceability and tractability.

3n fact, major main surround social operational logics dynamics

consist to invest inside logics of history to argue that both linguisticlogics and driven dynamics of traceability technology should then

result in translation tractability of system signal functions orderingfinancial outlets. Although, basic proportional mount management of

valid level valuation should then provide inuiry uestion string6count a day away to be aware across adjustment advances of

sophistication and purchase new burrowing narrows that

( B *1./&FB *1./& 1 J„B *1./& 1 …&ON 1' J† B ‡-C/& ̂ &8^/1< ‰1;/& =->Q -QŠ01[/& =->A' J

B ̂ -^;C/& HYE/1


20/47

communicates e!hibition e!pertise and e!erting e!ploitation of

energy. Therefore, ideal ideas deal with concrete computingcustomiation of advises and observable dynamics of traceability

techniues.

9alance benefit basic built in behaviors should invo0e of using utility

and translation tools of uietness and wellness, which deploy

historical ontology to investigate time event environment realiingtraceability techniues.

9oo0s have been chosen to be human people passion for more than

decades. Although, principle pushing publish appro!imation alongsocial sign symbolism should find focussing on foundation of

pointing up overviews, which have to wrap up logic thoughts andinvest inside intentional intelligence inspiration insight.

]9N -7 1 D* 2 1C4' Ž `Q`E/& Q`;:/& =8./& N82&82 1X`/& H* }86?€& @‘8.Q' Ž @‘8.Q @N82 ’ +K8/ +;

-9N ’ '8. -YK Ž \16D/& H* /'€& Ž 182' }&82'+6 D* +/`N “/& /1EA $ < C]Q “-;/& W1{4=8./& ;E' Ž 1128K' 182' 191:< 5D{' +6D* $ D

+/-2' ” 1YC•6K -]/& C[Q +€ 182 \C{' C[/& ;E

&3‚K +A&82' +ECX “N Ž +82' +ECX 1;6D* =4 /1EA$ \ ‰1* H9& 012 ’ +A&82 “N Ž +82 A1K @1N82

1K Ž Z/ @1;69 1C9 C*1K }&8./19 Z/ @1;69 &3‚K 1CY;*+/-2 "

أخم ة سود لمحاج ربات لح ئ هن

يقرأن بالس

5ven though, many several mount management of mathematical modeling modes should comply with easy

simple representation of !, y" mapping pair to invo0e basic built in behavior of parametriation, valuation"

dynamics, which could the prescribe linguistic logics of job scheduling and grid simulation scenery shows.

Hence, this associate parametriation, valuation" mapping pair of corresponding control flow graph designs

including w 8 !, m 8 y" processing could then bring up parametriation of some mathematical euivalenceuantities, which are#


21/47

( (=V. cotg> $+cotg> , y= V $+cotg> ) ,∀V ≈+∞ {( (= sin>.cos> ( sin> −cos> ) 2, y=( sin> −cos> )2 sin>.cos> )}


22/47

{( (=V. f> ()$+ f> () , y=V. $$+ f> ())} ,∀V =constant ≈+∞ ( (=−$+ $ sin> , y=−$+ $cos> )

{( (=V. e−∣ f ( )∣∣ A∣ , y=V. e−$

∣ f ()∣

∣ B∣ )} ,∀ V ≈+∞ , ∂( A)≃∂( B) {( (= V. e f ()

$+e f ( ) , y=

V

$+e f ())} ,∀V ≈+∞

{( (=V. ∣ f ()∣

$+∣ f ()∣ , y=V.

$

$+∣ f ()∣)} ,∀V =constant ≈+∞ {( (=V. tg>

$+tg> , y = V

$+tg> )} ,∀V ≈+∞

( (=V. ln ($+∣ f ()∣)$+ln ($+∣ f ( )∣) , y= V $+ ln ($+∣ f ( )∣)) ,∀V ≈+∞ ( (=V. ∣tg ∣$+∣tg ∣ , y= V $+∣tg ∣) ,∀ V ≈+∞

( (=V. ∣cotg ∣$+∣cotg ∣ , y= V $+∣cotg ∣) ,∀V ≈+∞ ( (= tg> ∣ A∣ , y =cotg> ∣ B∣ )

{( (=V.∣ f ( )∣G ∂∣ A∣ , y =V.∣ f ()∣G ∂∣ B∣ )} ,∀V ≈+∞ , ∂( A)≃∂( B) ( (=∣tg ∣∣ A∣ , y =∣cotg ∣∣ B∣ )3n fact, e!erting e!ploitation of engineering environment handling e!istence of powerful mechanismfascinating argument of enjoyable justice judging social sign symbolism and all proposal principles of

wellness and uietness handling desirable aim objects of job scheduling and timing simulation.


23/47

3n fact, desirable wishes of concerning computing customiation should handle resulting in processing of

control data flow graph theory and its valid variation growing upon traceability tractability of using utility of

mount management through theology of mapping pair !, y", whereby ! and y should depict measurable

metric euivalence uantity of fashionable flows. Hence, searching !, y" mapping pair to fi! driven

dynamics concerning mathematical modeling modes of e!pertise e!ploitation enjoying energy environment

of translation transformation providing transaction techniue tractability. Although, associate mapping pair!, y" should integrate major main principle designs of w 8 !, m 8 y" mapping pair, concerting associate

assignment matri! should then deliver sign symbolism functions ordering faithful outlets of system signals

feathering optimiing function outputs.

9reath surround symbolism deals with balance channel computing along two scenery show sides of

whenever resulting in reuirement of open mind is need to energie calms and enjoyable mount management

of linguistic logics processing. Thus, liable logics of lordniss should then invest inside proposal logics

dynamics of uietness and wellness in order to deliver basic built in behavior of baby tendency and itstraceability transparency to transcribe logic lectures across e!ploring e!ploitation of Lord 5!istence in order

to attempt to share more merging intellectual inspiration insight belong to invisible sign symbolism and

common community investor, inventor, rabines, etc ..." .


24/47

Hence, 9ased upon deep driven dynamics of human construction and its computing customiation of logictransformation of idea and integration of symbolic substance to physically study both the nature of matter

and the forces which govern it and measure it too. This growing upon topics of matter and e!erting energy

powering it to support religious battleground pf common property, whereby balance benefit focus on

description should learn more about linguistics and logics bac0grounds.

Thus, among theological e!hibition uality affirming trust of truth across wor0ing thread tas0 of

corresponding operating systematic one owner. Although, fashionable objectionable aim object of Lord

logics consist to develop system of a document or object e!hibited in court and referred to and identified in

written evidences.

Although, what 0ind of Lord e!istence could anyone loo0 for to provide concrete computing of logic

thoughts and enjoyable justice feathering system signal functions optimiing faithful opportunity. Thus,

Liable laws should provide driven dynamics of uietness e!istence such that# ma0e access for anyone to

release wishes and destroy egoism. Therefore, surround symboliation of liable laws should comply withusing utility of inuiry uestion string 6insi!ht inspiration !athers "nowled!e cultures6.


25/47

/ue to proposal dynamics of cognitive correction belong to 6be for!iven to ma"e way free for flexible focus

on6, basic built in behavior of intentional education should then be generated within any financial

manufacturing implementation. Hence, traceability tractability of resulting in reality fashion flow of logic

linguistics should comply with concrete clear computing across 0nowledge cultures dynamics and proposal

job scheduling during any timing simulation proceeding. Therefore, theoretical synta! system signal

functions orders faithful outlets has to deal with proposal inuiry uestion string 6inspiration insi!ht ii !rows upon traceability tractability tt and mount mana!ement mm6. Then, mathematical modeling modes

should invo0e using utility of detectable system signal sensor dynamics and plug&ins mechanisms to achieve

desirable wishes and aware logic linguistics.


26/47

3n fact, translation traceability should invest inside motion engines and logic thought modeling modes to

improve intentional inspiration insight of using utility, which gathers mount management of valid variation

of balance benefit behavior of proposal traceability tractability. Hence, to invest inside motion engines,

input&output port programming interfaces should burrow neat networ0ing of resulting reality fashion flow oflogic thoughts and its corresponding computing customiation. Thus, +!/ D /sin> , !/ D /cos>1 mapping pair

or another similar to +sin>.cos>+sin> ! cos>1> , +sin> ! cos>1> ?sin>.cos>@1 mapping pair should provide using

utility of e!pertise environment based upon driven dynamics of joining +( ! delta+a1, y D delta+b11 or +( D

delta+a1, y ! delta+a11 in pair to regain responsible reuests for dynamics description of operational mount

management of regular digital computing customiation. Hence, ( G delta+a1 or y G delta+b1 could be

assigned to associate current edges. Although, theses current edges have to provide either 62hen able to be

ready for error o)ti*ization )ara*etrization6 and 62hen able to be so)histicated out)ut 6. Therefore,

invasive idea of balance benefit driven description is to invest in mount management of machinery designs

and concrete computing customiation of free energy, which has to invo0e intellectual inspiration of

transmission, transportation and translation of transaction traceability and its tractability techniues. Hence,

adjustment advances continues to display an impressive valid level variation of using utility of dynamic

digital design belong to mathematical modeling modes using these mapping pairs#


27/47

( !/ D /sin> and y !/ D /cos> ( (=−$+ $ sin> , y=−$+ $cos> ) ( tg> and y cotg> {( (= tg> ∣ f ( )∣ , y= cotg> ∣ g ()∣ )}

( abstgF and y abscotgF

{( (= ∣tg ∣∣ f ( )∣ , y=∣cotg ∣∣ g ()∣)}

( sin>.cos>+sin>!cos>1> and y +sin> ! cos>1> ?sin>.cos>@ {( (= ( sin> − cos> ) 2 sin>.cos> , y = sin>.cos> ( sin> −cos> )2 )}However, invest inside modeling modes of intellectual inspiration using surround symbolism of boundary

limit logics involving inside ?inferior boundary li*it &alue, su)erior boundary li*it &alue@, e!pertise

e!ploitation of linguistic logics should develop adjustment advance aspects of balance benefit behavior and

driven description design of symbolic dynamics belong to genuine, unjust" mapping pair.

5ven though, another operation translation traceability tractability using initialiation insight could provide

declaration of amplification or magnitude amplification coefficient to provide more rescue processing align

infinite values such that# declare true logics / *a(+unsigned+right boundary li*it11, then use these

*a))ing )airs'

( e()+! absf+1F1 and y e()+! / absf+1F1 {( (=e−∣ f ()∣ , y=e −$∣ f ()∣)} , ∀e f ()=e!p[ f ( )] ( e()?f+ 1@ +/ D e()?f+ 1@1 and y / +/ D e()?f+ 1@1 {( (= e

f ()

$+e f () , y=

$

$+e f ())} ,∀ e f ()=e!p [ f ( )] ( absf+ 1F +/ D absf+ 1F1 and y / +/ D absf+ 1F1 {( (= ∣ f ( )∣$+∣ f ()∣ , y= $$+∣ f ()∣)} ,∀?⩽n⩽ f> ()+ 1@ +/ D f>+ 11 and y +/ D f>+ 11 {( (= f> ()$+ f> () , y= $$+ f> ())} ,∀ ?⩽n⩽ f> ()


28/47

>urthermore, euivalence uantity evolves driven dynamics, which describes ne!t change statement

processing. Therefore, fi!ed symbolic synchroniation should discuss traceability tractability of scenery

show mount management. Theological intentional idea is to compose concrete computing control

customiation and proposal plug&ins in in order to deliver clear clean translation transformation ofintellectual inspiration insight based upon#

2hile+ constraint conditions 1 do ne(t state change state*ent )rocessing 1

Thus, corrective reuirement deal with modern digital designs co&design software hardware" to control

proposal precision than sophisticated digital hardware. Hence, there is always emerging third category of

classification, which should be used alongside theological genuine definition and be greater than any

surround symboliation of unjust characteristics.

3n fact, compression is a way to ma0e heavy hierarchy harmony more correct and convenient for using

utility. Although, whereas with align longer time event, it is purposely possible that driven dynamics should

generate intentional intellectual inspiration insight controls concrete computing customiation of waveformcompression traceability management. Although, waveform compression traceability management should

grow upon valid reality of proposal parallelism processing. 5ven though, remaining traceability tractability


29/47

management sound better used when applied robust idle, scheduling" mapping pair dynamics should be

maintained.

5ven though, multitas0ing programming procedures comply with proposal parallelism processing, which

evolves inuiry uestion string 6at ti*e e&ent n.6 , ho2 *any si*ultaneously thread tas#s should be

running=6. Although, multitas0ing programming procedures generate transparency tendency, which pushes

job scheduling into logic dynamics of linguistic mount management. Thus, e!erting e!pansion e!ploitation

of e!pertise environment should increase boundary limit processing theory to be involving within proposaldynamics of linguistic description operating traceability tractability and balance benefit behavior.

Therefore, open mind choice of concrete computing consists to e!plore focussing on foundation of natural

narrows, formal manufacturing industry, logics dynamics and its programming languages. >urthermore, its

traceability tractability point up review overviews of different function forms, which have been mechanied

to produce intentional inferences generating magnetic electronics functionalism. This magnetic electronics

functionalism is involving inside accordingly to system signal fundamentals operating fashionable outfits of

distribution and translation transformation theory such that#

f+surface integration ?*agnetic flu(@1 g+&olu*e

integration ?current flo2 @1. f (∬ [ flu(*agnetic ])≡ g (∭ [ flo2current ])

inuiry uestion string % 6how to assign correspondingmeasurable metric amount uantity of either magnetic flu!

or current flow76 *atri(3eload =

(2 3 ( ) ... (* 3 y ) ...... ... ... ...

... (2 3 () ... (* 3 y )

system signal function outputs feathering linguistic logicsand theological information e!pertise should propose

cognitive science scenery shows of engineering e!ploitationof genuine, unjust" mapping pair. Therefore, balance benefit

description designs invest inside mathematical modelingmodes belong to

+genuine !/ D /sin>, unjust !/ D /cos>1 or +genuine

tg>, unjust cotg>1 or +genuine e()?f+ 1@, unjust 9og?/

D absf+ 1F @1 or +genuine +sin> ! cos>1> ?sin>.cos>@, unjust

sin>.cos>+sin> ! cos>1>1 or +genuine abstgF, unjust

abscotgF1, ....

{(enuine=−$+ $ sin> ,Lnjust =−$+ $cos> )}{(enuine=( sin> −cos> ) 2 sin>.cos> , Lnjust = sin>.cos> ( sin> −cos> )2)}{(enuine= tg> ∣ f ()∣ ,Lnjust = cotg> ∣ g ()∣ )}{(enuine= ∣tg ∣∣ f ()∣ ,Lnjust =∣cotg ∣∣ g ()∣ )}{(enuine= ln ($+∣ f ()∣)∣ (∣ ,Lnjust =e

f ( )

∣ y∣ )}{(enuine= f> ()∣ (∣ ,Lnjust =∣ f ( )∣∣ y∣ )} , ∂∣ (∣=∂∣ y∣

Although, official operational processing engineering of

e!pertise e!ploitation should then treat associate assignmentof system signals through resulting reality fashion flow ofrational ratio returns invo0e uncertainty measurement

proceeding using#

e()?!absf+ 1F@ or e()?!/absf+ 1F@ or 9og+/ D absf+ 1F1 ?/

D 9og+/ D absf+ 1F1@ or f>+ 1 ? / D f>+ 1@ or /?/ D f>+ 1@ or

absf+ 1F ?/ D absf+ 1F@ or /?/ D absf+ 1F@, or ...

{(a=e−∣ f ( )∣ , b=e

−$

∣ f ()∣

)} ,∀ e f ( )=e!p [ f ( )]

{(a= ln($+∣ f ()∣)$+ln ($+∣ f ()∣) , b= $$+ln($+∣ f ( )∣))}{(a= e

f ()

$+e f () , b=

$

$+e f () )} ,∀e f ( )=e!p[ f ( )]

{( tg> $+tg> , $$+tg> )} ,{( cotg> $+cotg> , $$+cotg> )}

{(a=

f> ()

$+ f> ()

, b= $

$+ f> ( ))} ,∀ ?⩽n⩽ f> ()


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{(a= ∣ f ( )∣$+∣ f ()∣ , b= $$+∣ f ()∣)} ,∀?⩽n⩽ f> () ∣ f ( )∣ , b=cos> ∣ g ()∣)} , ∀?⩽n⩽ f> ()


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{( −cos> ) 2 sin>.cos> , .cos> ( sin> −cos> )2 )} {(a=use= i.n$+i.n , b=in&o#e= $$+i.n )} ,∀ i=inde( ,n∈ 4

{( ( ))} ,∀ ?⩽n⩽ f> () )}Hence, this systematic operational logics language of balance benefit description could then guarantee

growing upon translation techniues of traceability tractability of transition transformation.3n fact, 0nowledge cultures deal with inner tribes % a group of people sharing an occupation, interest, or

habit, which could be eual to A unit of sociopolitical organiation consisting of a number of families, clans,

or other groups who share a common ancestry and culture and among whom leadership is typically neither

formalied nor permanent too" and e!ternal horde or crowd % a large number of persons gathered togetherO

a throng could be eual to a group of people attending a public function generating scenery shows of

audience theaters transforming gangs or rabbles or troops into hero handlers". Thus, 0insfol0 own one in

each family" should mount burrowing narrows into balance characteristics in order to translate logic

thoughts into traceability tractability of liable laws. Hence, systematic safe fleet outlets function schedule"

optimiation of mainlining principles of owned operation utility. Although, resulting in organied tactical

armada unit should then treat traceability tractability terminology to fi! translation transformation processing

for further uses of mathematical modeling modes generating uncertainty measurement managements dealing

with fundamental functions such as #

/. ratio of *ulti)ly+inde(, slice1 to add+/,

*ulti)ly+inde(, slice11.

*ulti)ly (i ,n)$+*ulti)ly (i , n)

,∀i=inde(∧n=ho*ologousSlice

. ratio of / to add+/, *ulti)ly+inde(, slice11. $

$+*ulti)ly (i , n) ,∀ i=inde(∧n= ho*ologousSlice

>urthermore, all other proposal compositions could be found through, it e!ists an intentional integer n such

that,

for any given float function f",

- n absf+1F n D /.∀ f ()=∃defined ,∃n=natural , ?≤n≤∣ f ( )∣urthermore, all other proposal compositions could be found through, it e!ists an intentional integer n such

that,


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for any given float function f",

- n absf+1F n D /.

Hence, digital computing customiation deals with sliding slice window simulation that is ready to deliver

integer inside naturals subset for more concerning computing customiation along individualism insight ant

its intentional inspiration. Thus, develop e!citing efforts to convert corresponding integer ?, $, (, C, ...,

i, ...n, ..." into maintaining measurable metric mount management could then deliver more faithfulconfidence of digital computing using sliding slide window simulation languages and its accordingly to

logics. Therefore, discrete event simulation provide time event to be eual to % nT, where T is associate

period or smallest unit of time that is ready to be assigned to unitary unit.

>urthermore, inde!ing implementation belong to any architectural array structures such that#

struct array :

int inde(O

te*)lateclass 6 J ele*ent O

;O

6y)edef &ector D te*)lateclass 6 J E array

N array.pushPbac0 te*)lateclass 6 J ele*ent " O

N create function array. sort+ 1

use inde( and &alue array.Kinde! to fill in data

2ithin this function structures'

*ulti)ly (i ,n)$+*ulti)ly (i , n)

,∀i=inde(∧n=ho*ologousSlice

Then to define transaction terminology, which should use traceability techniues of transformation defined

below#

struct transaction :

te*)lateclass 6 J ti*eO

struct array ele*ent O

;O

6y)edef *a) te*)lateclass 6 J, arrayJ Table

std##*a) D te*)lateclass 6 J, arrayE##iterator it % table.begin"

table.insert it, pairDte*)lateclass 6 J, arrayJ+ 11 O

N create function table. sort+ 1

use inde( table.first and &alue table. second to fill in data

2ithin this function structures'

$$+*ulti)ly (i , n)

,∀ i=inde(∧n=ho*ologousSlice

3n fact, within these corresponding definitions, which have been declared above, translation traceability

tractability could then invest inside manufacturing manipulation of measurable metric processing of

uncertainty utility and its homologous hierarchy harmony of arithmetic encoding and decoding e!pertise

e!ploitation.


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Therefore, w 8 ! % could be eual to" mount management of matri! reload reality fashion flow, whereby

memoriation traceability tractability techniues should be used to satisfy surround sign symbolism of float

operational dynamics using measurable metric utility of concerting customiation though robust use of

corresponding detectable signal sensors that are ready to deliver sensitive lists for further mount management

of itinerary information and gathering magnetic effects based upon accordingly to antenna and valid valuable

variation of e!erting e!pertise euivalence such that#

f +surface integration ?*agnetic flu(@1 = g+ &olu*e integration?current edge flo2s@1,

whereby 6%76 is an accordingly to uestion of proposal possibility, which permit probabilistic stochastic

processing to be used herewith this euivalence euation e!ploitation.


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Therefore, balance benefit description should be used inside different distinct dynamic domain of social

symbolism function ordering financial outfits. 5ven though, sign symbolism functions are balance that

linguistic logics wor0 around and across to achieve e!erting e!ploitation of corresponding e!pertise

environment from serous symboliation of social systematiation processing until fiction outlets. This is not

only an uphill climb but also one basic built in behavior giving adjustment advance ability to strive and to

endeavor computing customiation of corresponding genuine, unjust" mapping pair.


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Traceability tendency should ma0e mi!ing of more complicated reality fashion flow of proposal component

composition B0y's water could be cleaner and ready for well usage7 or waveform compression could be

ready to achieve thread tas0 of free path design dynamics, ...". Although, recently resulting in reality fashion

flows of waveform compression should generate over than any demanded number of common computing

commodity and art class medium of surround networ0ing ensuring neat narrows and novel superhero

aesthetics % The study of the psychological responses to beauty and artistic e!periences % A conception of

what is artistically valid or beautiful".

Hence, proposal dynamic design of touch&catching mapping pair should then invest inside translation

traceability into settling noir&dar0 setting that is ready to support using issues of intentional inuiry uestion

string 65njoyable justices judge balance benefit behaviors, because invasive impressionistics ma0es distinct

aware way into mathematical modeling modes of intellectual inspiration insight )otice # a surprisingly

impressionistic review bearing mar0s of hasty composition".

3n fact, valid variety of chosen computing customiation should the develop concrete effort surround signsymbolism functions ordering faithful options, which could be invo0e mindful mount management of

translation traceability and digital pattern tractability. Therefore, engineering e!pertise environment

prescribes better 0nowledge cultures generating valid variation of personal having and its relevant feeling to


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achieve waveform compression based upon resulting in reality fashion flow of rational ratio returns.

5ven though, 6m 8 y6 uses burrowing binary effect operating logics and arithmetic computing customiation

that validates Assembly language such that#

return+*etric1 2hen this is true free *otion )ath

3n fact, deep driven investigation of surround symbolic function 6convertpairDw 8 !, m 8 yE"6 should be

basic built in behavior of control data flow graph issues and chart flow utility. >urthermore, reality fashion

flow of e!pertise e!ploitation should then design dynamic description of optimistic transparency tractability,

whereby job scheduling belong to dynamics reality of whileconstraint conditions" do :ne!t state change

statement processing;, should be growing upon guardian of gathering intentional information across

industrial manufacturing production processing. Thus, calling any procedure or function to realie primordial

principles of parallelism for waveform compression algorithms and waveform decompression algorithms

based upon language of #

Qinclude DcstdioE

Qinclude DcstdlibE

Qinclude DiostreamE

Qinclude DiostreamE

Qinclude DfstreamE

Qinclude DcmathE

Qinclude DcstringEQinclude DvectorE

Qinclude DmapE

...

using namespace stdO

typedef mapDchar, vectorDintEE performO

typedef mapDchar, floatE storageO

int mainint argc, char argvK"

:

if argc D% $"

: cout DD 6 not enough input arguments to pursue6 DD endlO

e!it?"#

0

2

4

6

8

10

12

14

16

18

20


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; else :

int inde! % ?O

int sum % ?O

std##ifstream isTO

std##filebuf fptr % isT.rdbuf"O

std##mapDchar, vectorDintE E##iterator it % perform.begin"O

fptr&Eopen argvK$, std##ios##inRstd##ios##app"O

char Tch % 66O

char ptrch % JTchO

while Sfeoffptr""

do :

fscanffptr, 6c6, ptrch" or Tch % fgetc fptr"O

it % perform.find'Tch'"O

if it %% )GLL"

:

vectorDintE mountO

mount.pushPbac0inde!11"O

perform.insert it, std##pairDchar,vectorDintEETch, mount""O

; else : it".second".psuhPbac0inde!11"O

;

;

;

fptr&Eclose"O

std##ofstream isTTO

std##filebuf gptr % isTT.rdbuf"O

std##mapDchar, float E##iterator ig % perform.begin"O

it % perform.begin"O

gptr&Eopen argvK(, std##ios##outRstd##ios##app"O

foritO it S% perform.end"O it11"

: sum % sum 1 it".second".sie"O

;

it % perform.begin"O

foritO it S% perform.end"O it11"

:

float % grow % it".second".sie" M $ 1 sum"O

char TTch % it".firstO

perform.insert it, std##pairDchar, floatETTch, grow""O

;

ig % perform.begin"O

foritO ig S% storage.end"O ig11"

: fscanfgptr, rom cloud to rainy weather, there is comple! computing customiation proceeding, which reuires resulting

in joining +!/ D /sin>, !/ D /cos>1 or +tg>, cotg>1 or +sin>.cos>+sin> ! cos>1>, +sin> ! cos>1> ?sin>.cos>@1 or other

mapping pair !, y" such that#

valid valuable variation of this mapping pair a, b" should verify # a # u $ b % u, when u % unitary,

Hence, invo0e conclusion across this liable logics dynamics of rational ratio returns could then provides

traceability tractability management based upon dar0, clear" % faster, slower" mapping pair in order to


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invest inside industrial manufacturing design of intellectual inspiration insight.

Although, job scheduling battleground theory should always comply with whileconstraint conditions" do

:ne!t state change statement processing;. However, manufacturing industrial implementation should then

burrow inside measurable metric linguistic languages. Therefore, to try using transportation tractability,

focussing on functionalism of joining +2 3 (, * 3 y1 in pair should then be used to define newly proposal

parametriation processing for further usage of memoriation and logic thought development. Hence,

moving any object from defined place to another, reuires driven measurable metric description to investinside mount tractability management of electricity consumption and other energy lost processing dynamics.

Hence, for defined amount uantity of electricity, corresponding motion satisfaction should be valid at

accordingly to time event. Thus, for a given triplet of time event, electrical amount uantity, corresponding

motion aspect"" should then invo0e major main dynamics of linguistic logics, which wraps up sign

symbolism functions ordering faithful opportunity of distinct e!pertise e!ploitation environments. hy

social society science or financial design should then use such a defined mapping pair +ti*e e&ent, +a*ount

5uantity, desirable 2ishes realization11 to become intensive intellectual insight and inspiration, whereby

uncertainty and use utility of whileconstraint conditions" do :ne!t state change statement processing; in

order to integrate liable laws of balance benefits and to perform valid variation of valuable sens scenery

shows of traceability techniues and transition tractability mount management for further use and utility

issues of ensuring job scheduling driven design description at any reuired discrete event simulation based

upon motion engines and e!pertise e!ploitation of measurable metric translation transformation for faithful

transportation of growing data bloc0s.

Hence, dynamic design could simply be described with two disposal aware words# pure belong to

transparency and talent belong to tendency. These two aware words pure and talent have to wor0 with many

several impressive interests of harmonic hierarchy homes of computing customiation across logic dynamicsand linguistic behaviors". >urthermore, art class surround symbolism wor0s on how it could still be done #%

within using discrete event dynamics engines, which handle uncertainty measurable metric functions such


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that#

$. ratio of Ki n to K$ 1 in {(a=use= i.n$+i.n ,b=in&o#e= $$+i.n )} ,∀ i=inde( ,n∈ 4 (. ratio of $ to K$ 1 i n {{(a= tg> $+tg> , b= $$+tg> )} ,{(a= cotg> $+cotg> , b= $$+cotg> )}}

&onclusion ''

3n fact, to possess any proposal property in order to operate control and power owners, reuires to define

uality characteristic attribute of management mastery of insight 0nowledge cultures. Hence, to possess open

mind for holding mastering theory or theology and concerning hierarchy harmony of intellectual inspiration

insight, maintaining integration of ne!t state change statement processing provides major main mechanism

of involving inuiry uestion string 6 )ro)osal )atience '' 2ait for , 2ait until , 2ait ...6. Although, gravity

modeling modes becomes more interesting since its development until becoming applied inside trade mar0et

theory, mathematical modeling modes intellectual inspiration insight could be more interesting and have

potential importance within any proposal disposal under custom's seal systems or signals. hy7 9ecause,

this proposal mathematical modeling modes deal with uncertainty measurement processing to be 0ernel of

computing customiation across linguistic logics dictionary utility. hat does this mean7 /ictionary utilityrules major main liable laws of mount tractability management to describe basic built in behavior of balance

benefits and its driven description designs. Thus, balance benefit description deals with +&aluation,

)ara*etrization1 mapping pair to be used for further e!ploitation of engineering e!pertise in many several

industrial fields or manufacturing disciplines. 5ven though, +&aluation, )ara*etrization1 mapping pair could

bring up mathematical modeling modes of intellectual inspiration insight into art class computing

customiation due to its rational returns of traceability tractability and translation terminology techniues

based upon transaction theory and to0en simulation basic built in behaviors.

Therefore, basic built in behavior of balance benefits should handle driven dynamics of pairing principles

belong to joining +&aluation, )ara*etrization1 in pair in order to invo0e resulting in reality fashion flow of

linguistic logics, whereby faithful trust is reuired to deliver utility issues of mathematical modeling modes.

This +&aluation, )ara*etrization1 mapping pair could then rule operational scenery shows of traceability

tractability generating mount management of liable laws and of holding hierarchy e!citing major main

principles of justice and adjustment advances. Therapeutic procedures of any psyche soul breath should deal

with this +&aluation, )ara*etrization1 mapping pair to enhance dynamics of engineering e!pertise.

>urth

Adequate Trust Traceability of Tractability Theory Based Upon

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