Stability analysis for stochastic BAM nonlinear neural network with delays
|
|
- Rosaline Garrison
- 5 years ago
- Views:
Transcription
1 Joural of Physcs: Coferece Seres Sably aalyss for sochasc BAM olear eural ework wh elays o ce hs arcle: Z W Lv e al 8 J Phys: Cof Ser 96 4 Vew he arcle ole for upaes a ehacemes Relae coe - Robus sably for sochasc brecoal assocave memory eural eworks wh me elays H S Shu Z W Lv a G L We - New expoeal sably crera for sochasc BAM eural eworks wh mpulses R Sakhvel R Samura a S M Aho - A lear marx equaly approach o global sychrosao of o-parameer perurbaos of mul-elay Hopfel eural ework Shao Ha-Ja Ca Guo-Lag a Wag Hao-Xag hs coe was owloae from IP aress 4858 o 7/8/8 a :54
2 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 Sably aalyss for sochasc BAM olear eural ework wh elays Z W Lv H S Shu G L We College of Apple Mahemacs Doghua Uversy Shagha 5 Cha School of Iformao Scece a echology Doghua Uversy Shagha 5 Cha E-mal: hsshu@hueuc Absrac I hs paper sochasc brecoal assocave memory eural eworks wh cosa or me-varyg elays s cosere Base o a Lyapuov-Krasovsk fucoal a he sochasc sably aalyss heory we erve several suffce coos orer o guaraee he global asympocally sable he mea square Our vesgao shows ha he sochasc brecoal assocave memory eural eworks are globally asympocally sable he mea square f here are soluos o some lear marx equales(lmis Hece he global asympoc sably of he sochasc brecoal assocave memory eural eworks ca be easly checke by he Malab LMI oolbox A umercal example s gve o emosrae he usefuless of he propose global asympoc sably crera Irouco I [5]-[6] Kosko propose a ew class of eworks calle brecoal assocave memory (BAM eural eworks hs class of eworks has bee successfully apple o paer recogo ue o s geeralzao of he sgle-layer auoassocave Hebba correlaor o a wo-layer paer-mache heeroassocave crcurecely he yamcs such as sably a perocy of BAM eural eworks have receve much aeo ue o her poeal applcao assocave memory parallel compuao a opmzao problems Some mpora resuls have bee obae Refs [][]- [7][]-[][5][] Mos eural ework moels propose a scusse he leraure are eermsc As s well kow a real sysem s usually affece by exeral perurbaos whch may cases are of grea uceray a hece may be reae as raom as poe ou by Hayk [] ha real ervous sysem syapc rasmsso s a osy process brough o by raom flucuao from he release of eurorasmers a oher probablsc causes herefore s of prme mporace a grea eres o coser sochasc effecs o he sably of eural eworks o ae some resuls o sably of sochasc cellular eural eworks a sochasc Cohe-Grossberg eural eworks have bee repore (see [8][]-[][7][9]-[][] However o he bes of our kowlege he sably of BAM eural eworks wh elays have bee sue ([9][][]bu few auhors suy he sably of sochasc BAM eural eworks wh elays Movae by he above scusso hs paper we aalyze he sochasc BAM eural ework moels wh cosa or me-varyg elays By ulzg a Lyapuov-Krasovsk fucoal a coucg he sochasc aalyss we erve several suffce coos orer o guaraee he o whom ay correspoece shoul be aresse c 8 IOP Publshg L
3 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 global asympocally sable he mea square Dffere from he commoly use marx orm heores (such as he M marx meho a ufe lear marx equaly(lmi approach s evelope o esablsh suffce coos for he eural eworks o be global asympocally sable Noe ha LMIs ca be easly solve by usg he Malab LMI oolbox a o ug of parameers s requre [8] A umercal example s prove o show he usefuless of he propose global asympoc sably coo m Noaos: hroughou hs paper a eoe respecvely he -mesoal Euclea space a he se of all mreal marces For symmerc marces X ay he oao X > Y (res- -pecvely X Y meas ha X Y s posve efe(respecvely o-egave I eoe he comp -pable meso ey marx Deoe by LF [ h ]; R he famly of all -measurable ( { θ : h } C( [ h ]; R -value raom varables ξ = ξ( θ such ha sup ( p h θ E ξ θ < where E{} sas for he mahemacal expecao operaor wh respec o he gve probably mea- P he shorha ag { M M M } eoes a block agoal marx wh agoal blocks -sure beg he marces M M M N N Somemes he argumes of a fuco or a marx wll be ome he aalyss whe o cofuso ca arse he BAM eworks wh cosa elays escrbe by he followg ffereal equaos ([][4][7]: u ( = Au( + W g( v( τ + I ( v ( = Bv( + V g ( u( δ + J whch m u= u u R v = v v R A= ag ( a a > g = ( g g B= ag ( ( m m g = ( ( ( ( ( m I = J = m = j = m j m ( b b > g g I I J J W w V v τ δ are cosas hroughou hs paper we assume ha he acvae fucos g possess he followg properes: (A g are boue o R = max{ m} (Ahere exs real umbers F > such ha g ( x g ( y M x y for ay x y R M = max{ m} I s clear ha uer he assumpo (A a (A sysem ( has a leas oe equlbrum * * u = u u v = ( v * m m of sysem ( o he org hs rasformao x = u u * y = v( v * f ( x ( = g u ( g u * ( * f y = g v g v pu sysem ( o sysem ( * * * I orer o smplfy our proof we shf he equlbrum po ( v ( ( ( ( ( ( ( ( ( x ( = Ax( + W f ( y( τ y ( = By( + V f ( x( δ where x( = ( x( x ( y( = ( y( ym( f = ( f fm f = ( f f M = ag M M M = ag M M ( ( m (
4 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 Obvously he acvae fucos ( H f are boue o max{ m} j f j sasfy he followg properes: R = (H here exs real umbers such ha = max{ m} ( H ( { } M > ( ( f x f y M x y for ay x y R f = = max m I s ofe he case pracce ha he ework s surbe by evromeal oses ha affec he sably of he equlbrum I hs paper he sochasc BAM eworks wh cosa elays escrbe by he followg ffereal equaos: x = Ax + W f y τ + σ x y τ ω ( ( ( ( ( ( ( ( y( = B ( V ( ( δ y + f x + σ ( y( x( δ ω ( p q ( ω ωp ω ( ( ω( ωq( where ω( ( ( = = are Browa moo efe + m p m m q o Ω F { F } Ρ a assume ha σ : R σ : + are ( locally Lpschz couous a sasfes he lear growh coo Moreoverσ σ sasfes ( x( y( ( x( y( x( + y( ( y( x( ( y( x( y( + x( race σ τ σ τ τ race σ δ σ δ δ (5 Respecvely where Σ a Σ Σ are kow cosa agoal marces wh approprae m- -esos x φ y ϕ o Now accorg o [4] s obvous ha sysem ( has a uque global soluo ( ( b for ay al value φ [ τ ]; F ( σ = ~ σ = are requre such ha sysem (4 has a rval soluo Furhermore ( ( x ( y ( Defo a Lemmas I hs par we wll focus our aeo o suyg he sably of sysem (o oba our resuls we ee rouce he followg efo a lemmas m L τ ; η L ( σ ; ( Defo For he eural ework ( a every ξ F [ ] [ ] he rval soluo (equlbrum po s globally asympocally sable he mea square f he followg hols: ( ξ y( η lm( E x ; + E ; = m LemmaLe x y a ε > he we have x y+ y x εx x+ ε y y Lemma For ay posve efe marx M > scalar > γ vecor fuco :γ [ ] ha he egraos cocere are well efe he followg equaly hols: ( ( ( ( γ ( ( ( γ γ γ ω s s M ω s s ω s Mω s s F ( (4 (6 ω such
5 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 Lemma he LMI Q( x S( x > S ( x R( x where Q( x = Q ( x R( x = R ( x a S ( x epes affely o x s equvale o ( Q( x ( ( > R x S x Q( x S( x > ( R( x > Q( x S( x R( x S ( x > Ma resuls heoremif here exs posve scalars ρ > ρ > ε > ( = Q a posve agoal marces P Q posve efe marces P wh approprae mesos sasfyg P < ρi (7 Q < ρi PA + APεMM ρσσ δmq M ρw PW > WP ε (8 QB + BQεMM ρσσ τmpm ρσ Σ QV > VQ ε hols he yamcs of he eural ework ( s globally asympocally sable he mea square Proof: Coser he followg Lyapuov-Krasovsk fucoal caae V x y = x P x + y Q y + f y ξ P f y ξ ξ + f x η Q f x η η ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( τ δ ( ( ξ P ( ( ξ ξξ ( ( η Q τ f y f y + ξ δ f x + η ( ( η ηη + + f x (9 where P Q P Q are he posve soluo o (8 a P s efe by P = ε I + M ρ M ( Q s efe by Q = εi + M ρ M ( Employg I oˆ ' s ffereal rule oe ca euce ha V( x( y( = x (( PA AP x( + y ( ( QB BQ y( + x ( PW f ( y ( τ + y QV f x δ + race( σ x y τ Pσ x y τ + ( ( ( ( ( ( ( ( ( ( σ ( y( x( δ Q σ( y( x( δ + f ( y( ( P + τp f ( y ( ( ( τ P ( ( τ ( ( ( Q δq ( ( ( ( δ ( ( δ ( ( ξ P ( ( ξ ξ ( ( η Q ( ( η η race f y f y + f x + f x f x Q f x f y f y f x f x τ ex follows from (4 a (7 ha δ ( 4
6 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 ( σ ( x( y( τ Pσ( x( y( τ λmax( P ( σ σ race race For he posve scalars ε > follows from Lemma ha ( P x( y( τ λmax + [ x ( x( y ( τ ( τ ] ρ + y ( ( ( τ ε ( ( τ ( ( τ + ε ( x PW f y f y If y x PW WPx (4 Furhermore ca be see from Lemma ha τ ( ( ( ( ( ( ( ( ( ( τ τ Smlarly we ca oba f y ξ P f y ξ ξ τ f y ξ ξ P f y ξ ξ ( σ ( y( x( δ Q ( ( ( ( ( σ y x δ ρ y y + x ( δ x( δ race y QV f x δ ε f x δ If x δ + ε y QV VQ y where ε > δ ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( δ δ f x η Q f x η η δ f x η η Q f x η η Usg ( o (8 a( H we oba from ( ha ( ( ( ( ε ρ ( δ ε ρ ( τ ( (5 (6 ( ( + ( ( QB ( BQ QV VQ M P P M y x ( δ ( ρ ( ( ( ( M Q ε I M x δ y τ ρ M ( P εi M y ( τ V x y x PA AP PW WP M Q Q M x y ( ( ( ( ( ( ( ( η η δ ( ( ( ( f y P Q τ f y τ f x δ τ ξ ξ ξ ξ δ η η (7 (8 f x (9 Usg ( o ( a by some mapulaos we oba from (9 ha V x y α π α + β π β ( ( ( ( ( ( ( where x ( y ( α ( = β ( = ( ( ξ ξ f y τ ( ( η η f x δ PA AP+ εmm + ρ + δmq M + ε PW WP+ ρ π = τ P QB BQ+ εmm + ρ + τmpm + ε QV VQ+ ρ π = δ Q I lgh of (8 a ( we kow ha ( 5
7 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 PA AP+ εmm + ρ + δmq M + ε PW WP+ ρ < QB BQ+ εmm + ρ + τmpm + ε QV VQ+ ρ < so we oba π < π < he here mus exs scalar γ > γ > such ha γi γi π+ < π + < Followg from (oe ca oba ha Le γ = m{ γ γ } ( ( ( γ ( γ ( V x y α β he we oba from ( ha ( ( ( ( γ ( + ( V x y α β I mples ha V < for all α β Accorg o I oˆ ' s formula sysem ( s globally asympocally sable he mea square I he followg we wll suy he sably for sochasc BAM eworks wh me-varyg elays he moel s escrbe by he followg ffereal equao: x( = Ax( + W f ( y( τ ( + σ ( x( y( τ ( ω( (4 y( = By( + V f ( x( δ ( + σ ( y( x( δ ( ω ( I hs seco we always assume ha τ( δ( are ffereable oegave a boue τ ( τ δ τ ς < δ ς < ( ( ( δ a he ervave of τ( δ ( are less ha oe e ( ( heorem If here exs posve scalars ρ > ρ > ε > ( = P Q wh approprae mesos sasfyg P < ρi Q < ~ ρi ( ( ( posve efe marces PA + APκ εmm κ ρ ρ PW > WP ε (6 QB + BQκ εmmκ ρσσ ρσ Σ QV > VQ ε hols he yamcs of he eural ework (4 s globally asympocally sable he mea square Proof Coser he followg Lyapuov-Krasovsk fucoal caae ( ( ( ( ( ( ( ( ( ( ( ( V x y x P x y Q y f y ξ P f y ξ ξ = δ τ ( Q ( ( ( ( f x η f x η η where P Q are he posve soluo o (6 a P s efe by P = κ ε I + κ ρm M (8 Q s efe by Q M (9 = κ εi + κ ρm (5 (7 6
8 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 = ( ( ( we eoe κ f τ κ = f δ a employ Io's ˆ ffereal rule oe ca x R x R ( euce ha V ( x( y( = x (( PA AP x( + y (( QB BQ y( + x ( PW f( y ( τ ( + ( ( ( ( ( ( ( ( y ( x ( Q ( y ( x ( f y P f y y ( QV f ( x( δ( + race σ x y τ Pσ x y τ( ( σ δ σ δ + race ( + ( ( ( ( ( ( τ( P ( ( τ(( τ( + ( ( Q ( ( f y f y f x f x f ( x( δ ( Q f ( x ( δ( ( δ( x (( PA AP + MQ M + ε PW WP + ρ x( + y (( QB BQ + MPM y( y ( ( f ( x R ( ( ( ( ( ( ( ( δ ( + ε QV VQ + ρ + τ τ MPM + ρ + ε MM y τ + x δ [ f δ MQ M + ρ + ε MM] x x R (( ε ρ ( (( = x PA AP+ MQM+ PW WP+ x + y QB BQ + MPM + ε ( ( QV VQ+ ρ y( + y τ κmpm + ρ + εmm y( τ( + x ( δ ( [ κmq M + ρ + εmm ] x ( δ ( ( I lgh of (8 a (9 we oba ha V x y x ˆ π x y ˆ π y where ( ( ( ( ( ( ( ˆ π P A AP ε PW WP κ ρ κ ε MM ς δmq M ρ ˆ π = QB+ BQ ε QV VQ κ ρ κ ε MMςτMPM ρ = + I lgh of (6 we ca see ha ˆ π ˆ > π > he we have V < for all x y Accorg o Iô's formula sysem (4 s ( ( globally asympocally sable he mea square 4 A llusrave example Coser a wo-euro sochasc BAM eworks wh cosa elays (where A = B = W = V = = = = = 7 4 We have M = M j = ( = j= we ca easly oba M = M = I he cosa elays ca be ake as δ = 5 τ = 5 hus by usg he Malab LMI oolbox we solve he LMIs (7(8 for ( ε > = P > P Q Q ρ > ρ > > > > a oba P = Q= P= Q= ρ= 49 ρ=57 ε = 959 ε =
9 7 Ieraoal Symposum o Nolear Dyamcs (7 ISND IOP Publshg Joural of Physcs: Coferece Seres 96 (8 4 o:88/ /96//4 herefore follows from heorem ha he wo-euro sochasc BAM eworks wh cosa elays ( s globally asympocally sable he mea square 5 Coclusos I hs paper sochasc brecoal assocave memory eworks wh elays s sue By cosrucg a Lyapuov-Krasovsk fucoal a usg he sochasc sably aalyss heory we erve several suffce coos of globally asympocally sable he mea square A LMI approach has bee evelope o solve he problem aresse A smple example has bee use o emosrae he usefuless of he ma resuls Ackowlegme hs work s suppore by aural scece fu of Shagha (No 7ZR4 Refereces [] Che A P Huag L H a Cao J D Appl Mah Compu 4 [] Hayk S 994 Neural Neworks (NJ:Prece-Hal [] Huag X Cao J D a Huag D S 5 Chaos Solos a Fracals [4] Ju H Park 6 Chaos Solos a Fracals [5] Kosko B 987 Appl Op [6] Kosko B 988 IEEE ras Sys Ma Cybere 8 4 [7] L C D Lao X F a Zhag R 5 Chaos Solos a Fracals 4 9 [8] Lao X X a Mao X R 996 Sochas Aal Appl 4 65 [9] Lag J L a Cao J 4 Chaos Solos a Fracals 77 [] Lu Y R a Wag Z D 6 Chaos Solos a Fracals 8 79 [] Lu Y R Wag Z D a Lu X H 6 Neurocompug 7 4 [] Lu Y R Wag Z D Serrao A a Lu X H Physcs Leers A 6 48 [] Lou X Y a Cu B 7 Chaos Solos a Fracals 695 [4] Mao X R 997 Sochasc Dffereal Equaos a her Applcaos (UK:Horwoo Chcheser [5] Shu H S Lv Z W a We G L 6 J of Doghua Uversy 7 [6] Sog Q K a Cao J D 5 Chaos Solos a Fracals 4 [7] Su J a Wag L 5 I J Bfurca Chaos 5 [8] S Boy L EI Ghaou E Fero a V Balakrshma 994 Lear Marx Iequales Sysem a Corol heory (Phlaelpha PA: SIAM [9] Wag Z D Laura J a Lu X H 7 Chaos Solo Frac 6 [] Wag Z D Lu Y Fraser K a Lu X H 6 Physcs Leers A [] Wag Z D Lu Y L M a Lu X H 6 IEEE rasacos o Neural Nework 7 84 [] Wag Z D Shu H S Fag J A a Lu X H 6 Nolear Aalyss:Real Worl Applcaos 7 9 [] Zhag J Y a Yag Y R I J Crcu heory Appl
Stability Criterion for BAM Neural Networks of Neutral- Type with Interval Time-Varying Delays
Avalable ole a www.scecedrec.com Proceda Egeerg 5 (0) 86 80 Advaced Corol Egeergad Iformao Scece Sably Crero for BAM Neural Neworks of Neural- ype wh Ierval me-varyg Delays Guoqua Lu a* Smo X. Yag ab a
More informationKey words: Fractional difference equation, oscillatory solutions,
OSCILLATION PROPERTIES OF SOLUTIONS OF FRACTIONAL DIFFERENCE EQUATIONS Musafa BAYRAM * ad Ayd SECER * Deparme of Compuer Egeerg, Isabul Gelsm Uversy Deparme of Mahemacal Egeerg, Yldz Techcal Uversy * Correspodg
More informationVARIATIONAL ITERATION METHOD FOR DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS. Hunan , China,
Mahemacal ad Compuaoal Applcaos Vol. 5 No. 5 pp. 834-839. Assocao for Scefc Research VARIATIONAL ITERATION METHOD FOR DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS Hoglag Lu Aguo Xao Yogxag Zhao School of Mahemacs
More informationStability of Cohen-Grossberg Neural Networks with Impulsive and Mixed Time Delays
94 IJCSNS Ieraoal Joural of Compuer Scece ad Newor Secury VOL.8 No.2 February 28 Sably of Cohe-Grossberg Neural Newors wh Impulsve ad Mxed Tme Delays Zheag Zhao Qau Sog Deparme of Mahemacs Huzhou Teachers
More informationAsymptotic Behavior of Solutions of Nonlinear Delay Differential Equations With Impulse
P a g e Vol Issue7Ver,oveber Global Joural of Scece Froer Research Asypoc Behavor of Soluos of olear Delay Dffereal Equaos Wh Ipulse Zhag xog GJSFR Classfcao - F FOR 3 Absrac Ths paper sudes he asypoc
More informationNew Guaranteed H Performance State Estimation for Delayed Neural Networks
Ieraoal Joural of Iformao ad Elecrocs Egeerg Vol. o. 6 ovember ew Guaraeed H Performace ae Esmao for Delayed eural eworks Wo Il Lee ad PooGyeo Park Absrac I hs paper a ew guaraeed performace sae esmao
More informationContinuous Time Markov Chains
Couous me Markov chas have seay sae probably soluos f a oly f hey are ergoc, us lke scree me Markov chas. Fg he seay sae probably vecor for a couous me Markov cha s o more ffcul ha s he scree me case,
More informationConvexity Preserving C 2 Rational Quadratic Trigonometric Spline
Ieraoal Joural of Scefc a Researc Publcaos, Volume 3, Issue 3, Marc 3 ISSN 5-353 Covexy Preservg C Raoal Quarac Trgoomerc Sple Mrula Dube, Pree Twar Deparme of Maemacs a Compuer Scece, R. D. Uversy, Jabalpur,
More informationDesign of observer for one-sided Lipschitz nonlinear systems with interval time-varying delay
WSEAS RANSACIONS o SYSES a CONROL Waju Lu Yal Dog Ska Zuo Desg of observer for oe-se Lpscz olear syses w erval e-varyg elay WANJUN LIU YALI DONG SHIKAI ZUO Scool of Scece aj Polyecc Uversy aj 8 CHINA ogyl@vp.sa.co
More informationIntegral Φ0-Stability of Impulsive Differential Equations
Ope Joural of Appled Sceces, 5, 5, 65-66 Publsed Ole Ocober 5 ScRes p://wwwscrporg/joural/ojapps p://ddoorg/46/ojapps5564 Iegral Φ-Sably of Impulsve Dffereal Equaos Aju Sood, Sajay K Srvasava Appled Sceces
More informationThe algebraic immunity of a class of correlation immune H Boolean functions
Ieraoal Coferece o Advaced Elecroc Scece ad Techology (AEST 06) The algebrac mmuy of a class of correlao mmue H Boolea fucos a Jgla Huag ad Zhuo Wag School of Elecrcal Egeerg Norhwes Uversy for Naoales
More informationInner-Outer Synchronization Analysis of Two Complex Networks with Delayed and Non-Delayed Coupling
ISS 746-7659, Eglad, UK Joural of Iformao ad Compug Scece Vol. 7, o., 0, pp. 0-08 Ier-Ouer Sycrozao Aalyss of wo Complex eworks w Delayed ad o-delayed Couplg Sog Zeg + Isue of Appled Maemacs, Zeag Uversy
More informationSynchronization of Complex Network System with Time-Varying Delay Via Periodically Intermittent Control
Sychrozao of Complex ework Sysem wh me-varyg Delay Va Perodcally Ierme Corol JIAG Ya Deparme of Elecrcal ad Iformao Egeerg Hua Elecrcal College of echology Xaga 4, Cha Absrac he sychrozao corol problem
More informationOrbital Euclidean stability of the solutions of impulsive equations on the impulsive moments
Pure ad Appled Mahemacs Joural 25 4(: -8 Publshed ole Jauary 23 25 (hp://wwwscecepublshggroupcom/j/pamj do: 648/jpamj254 ISSN: 2326-979 (Pr ISSN: 2326-982 (Ole Orbal ucldea sably of he soluos of mpulsve
More informationSolution of Impulsive Differential Equations with Boundary Conditions in Terms of Integral Equations
Joural of aheacs ad copuer Scece (4 39-38 Soluo of Ipulsve Dffereal Equaos wh Boudary Codos Ters of Iegral Equaos Arcle hsory: Receved Ocober 3 Acceped February 4 Avalable ole July 4 ohse Rabba Depare
More informationAnalyticity of Semigroups Generated by Singular Differential Matrix Operators
pple Mahemacs,,, 83-87 o:.436/am..436 Publshe Ole Ocober (hp://www.scrp.org/joural/am) alycy of Semgroups Geerae by Sgular Dffereal Mar Operaors Oul hme Mahmou S hme, el Sa Deparme of Mahemacs, College
More informationDelay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
Delay-Depede Robus Asypocally Sable for Lear e Vara Syses D. Behard, Y. Ordoha, S. Sedagha ABSRAC I hs paper, he proble of delay depede robus asypocally sable for ucera lear e-vara syse wh ulple delays
More informationThe Linear Regression Of Weighted Segments
The Lear Regresso Of Weghed Segmes George Dael Maeescu Absrac. We proposed a regresso model where he depede varable s made o up of pos bu segmes. Ths suao correspods o he markes hroughou he da are observed
More informationMixed Integral Equation of Contact Problem in Position and Time
Ieraoal Joural of Basc & Appled Sceces IJBAS-IJENS Vol: No: 3 ed Iegral Equao of Coac Problem Poso ad me. A. Abdou S. J. oaquel Deparme of ahemacs Faculy of Educao Aleadra Uversy Egyp Deparme of ahemacs
More informationThe Poisson Process Properties of the Poisson Process
Posso Processes Summary The Posso Process Properes of he Posso Process Ierarrval mes Memoryless propery ad he resdual lfeme paradox Superposo of Posso processes Radom seleco of Posso Pos Bulk Arrvals ad
More informationAverage Consensus in Networks of Multi-Agent with Multiple Time-Varying Delays
I. J. Commucaos ewor ad Sysem Sceces 3 96-3 do:.436/jcs..38 Publshed Ole February (hp://www.scrp.org/joural/jcs/). Average Cosesus ewors of Mul-Age wh Mulple me-varyg Delays echeg ZHAG Hu YU Isue of olear
More informationThe Signal, Variable System, and Transformation: A Personal Perspective
The Sgal Varable Syem ad Traformao: A Peroal Perpecve Sherv Erfa 35 Eex Hall Faculy of Egeerg Oule Of he Talk Iroduco Mahemacal Repreeao of yem Operaor Calculu Traformao Obervao O Laplace Traform SSB A
More informationThe Mean Residual Lifetime of (n k + 1)-out-of-n Systems in Discrete Setting
Appled Mahemacs 4 5 466-477 Publshed Ole February 4 (hp//wwwscrporg/oural/am hp//dxdoorg/436/am45346 The Mea Resdual Lfeme of ( + -ou-of- Sysems Dscree Seg Maryam Torab Sahboom Deparme of Sascs Scece ad
More information4. THE DENSITY MATRIX
4. THE DENSTY MATRX The desy marx or desy operaor s a alerae represeao of he sae of a quaum sysem for whch we have prevously used he wavefuco. Alhough descrbg a quaum sysem wh he desy marx s equvale o
More informationFully Fuzzy Linear Systems Solving Using MOLP
World Appled Sceces Joural 12 (12): 2268-2273, 2011 ISSN 1818-4952 IDOSI Publcaos, 2011 Fully Fuzzy Lear Sysems Solvg Usg MOLP Tofgh Allahvraloo ad Nasser Mkaelvad Deparme of Mahemacs, Islamc Azad Uversy,
More informationSome Probability Inequalities for Quadratic Forms of Negatively Dependent Subgaussian Random Variables
Joural of Sceces Islamc epublc of Ira 6(: 63-67 (005 Uvers of ehra ISSN 06-04 hp://scecesuacr Some Probabl Iequales for Quadrac Forms of Negavel Depede Subgaussa adom Varables M Am A ozorga ad H Zare 3
More informationExponential Synchronization for Fractional-order Time-delayed Memristive Neural Networks
Ieraoal Joural of Advaced Nework, Moorg ad Corols Volume 3, No.3, 8 Expoeal Sychrozao for Fracoal-order Tme-delayed Memrsve Neural Neworks Dg Dawe, Zhag Yaq ad Wag Na 3* School of Elecrocs ad Iformao Egeerg,
More information(1) Cov(, ) E[( E( ))( E( ))]
Impac of Auocorrelao o OLS Esmaes ECON 3033/Evas Cosder a smple bvarae me-seres model of he form: y 0 x The four key assumpos abou ε hs model are ) E(ε ) = E[ε x ]=0 ) Var(ε ) =Var(ε x ) = ) Cov(ε, ε )
More informationAsymptotic Regional Boundary Observer in Distributed Parameter Systems via Sensors Structures
Sesors,, 37-5 sesors ISSN 44-8 by MDPI hp://www.mdp.e/sesors Asympoc Regoal Boudary Observer Dsrbued Parameer Sysems va Sesors Srucures Raheam Al-Saphory Sysems Theory Laboraory, Uversy of Perpga, 5, aveue
More informationA Comparison of AdomiansDecomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations
Global Joural of Scece Froer Research Mahemacs a Decso Sceces Volume Issue 7 Verso. Jue Te : Double Bl Peer Revewe Ieraoal Research Joural Publsher: Global Jourals Ic. (USA Ole ISSN: 49-466 & Pr ISSN:
More informationProbability Bracket Notation and Probability Modeling. Xing M. Wang Sherman Visual Lab, Sunnyvale, CA 94087, USA. Abstract
Probably Bracke Noao ad Probably Modelg Xg M. Wag Sherma Vsual Lab, Suyvale, CA 94087, USA Absrac Ispred by he Drac oao, a ew se of symbols, he Probably Bracke Noao (PBN) s proposed for probably modelg.
More informationFORCED VIBRATION of MDOF SYSTEMS
FORCED VIBRAION of DOF SSES he respose of a N DOF sysem s govered by he marx equao of moo: ] u C] u K] u 1 h al codos u u0 ad u u 0. hs marx equao of moo represes a sysem of N smulaeous equaos u ad s me
More informationUpper Bound For Matrix Operators On Some Sequence Spaces
Suama Uer Bou formar Oeraors Uer Bou For Mar Oeraors O Some Sequece Saces Suama Dearme of Mahemacs Gaah Maa Uersy Yogyaara 558 INDONESIA Emal: suama@ugmac masomo@yahoocom Isar D alam aer aa susa masalah
More informationDensity estimation III. Linear regression.
Lecure 6 Mlos Hauskrec mlos@cs.p.eu 539 Seo Square Des esmao III. Lear regresso. Daa: Des esmao D { D D.. D} D a vecor of arbue values Obecve: r o esmae e uerlg rue probabl srbuo over varables X px usg
More information8. Queueing systems lect08.ppt S Introduction to Teletraffic Theory - Fall
8. Queueg sysems lec8. S-38.45 - Iroduco o Teleraffc Theory - Fall 8. Queueg sysems Coes Refresher: Smle eleraffc model M/M/ server wag laces M/M/ servers wag laces 8. Queueg sysems Smle eleraffc model
More informationStabilization of LTI Switched Systems with Input Time Delay. Engineering Letters, 14:2, EL_14_2_14 (Advance online publication: 16 May 2007) Lin Lin
Egeerg Leers, 4:2, EL_4_2_4 (Advace ole publcao: 6 May 27) Sablzao of LTI Swched Sysems wh Ipu Tme Delay L L Absrac Ths paper deals wh sablzao of LTI swched sysems wh pu me delay. A descrpo of sysems sablzao
More informationNumerical Methods for a Class of Hybrid. Weakly Singular Integro-Differential Equations.
Ale Mahemacs 7 8 956-966 h://www.scr.org/joural/am ISSN Ole: 5-7393 ISSN Pr: 5-7385 Numercal Mehos for a Class of Hybr Wealy Sgular Iegro-Dffereal Equaos Shhchug Chag Dearme of Face Chug Hua Uversy Hschu
More informationA Fuzzy Weight Representation for Inner Dependence Method AHP
A Fuzzy Wegh Represeao for Ier Depeece Meho AHP Sh-ch Ohsh 2 Taahro Yamao Heyu Ima 2 Faculy of Egeerg, Hoa-Gaue Uversy Sapporo, 0640926 JAPAN 2 Grauae School of Iformao Scece a Techology, Hoao Uversy Sapporo,
More informationMoments of Order Statistics from Nonidentically Distributed Three Parameters Beta typei and Erlang Truncated Exponential Variables
Joural of Mahemacs ad Sascs 6 (4): 442-448, 200 SSN 549-3644 200 Scece Publcaos Momes of Order Sascs from Nodecally Dsrbued Three Parameers Bea ype ad Erlag Trucaed Expoeal Varables A.A. Jamoom ad Z.A.
More informationA Function Projective Synchronization Control for Complex Networks with Proportional Delays
Modelg, Smulao ad Opmzao echologes ad Applcaos MSOA 06 A Fuco Projecve Sychrozao Corol for Comple eworks wh Proporoal Delays Xulag Qu, Hoghua B,* ad Lca Chu Chegy Uversy College, Jme Uversy, Xame 60, Cha
More informationThe Properties of Probability of Normal Chain
I. J. Coep. Mah. Sceces Vol. 8 23 o. 9 433-439 HIKARI Ld www.-hkar.co The Properes of Proaly of Noral Cha L Che School of Maheacs ad Sascs Zheghou Noral Uversy Zheghou Cy Hea Provce 4544 Cha cluu6697@sa.co
More informationAvailable online Journal of Scientific and Engineering Research, 2014, 1(1): Research Article
Avalable ole wwwjsaercom Joural o Scec ad Egeerg Research, 0, ():0-9 Research Arcle ISSN: 39-630 CODEN(USA): JSERBR NEW INFORMATION INEUALITIES ON DIFFERENCE OF GENERALIZED DIVERGENCES AND ITS APPLICATION
More informationIMPROVED PORTFOLIO OPTIMIZATION MODEL WITH TRANSACTION COST AND MINIMAL TRANSACTION LOTS
Vol.7 No.4 (200) p73-78 Joural of Maageme Scece & Sascal Decso IMPROVED PORTFOLIO OPTIMIZATION MODEL WITH TRANSACTION COST AND MINIMAL TRANSACTION LOTS TIANXIANG YAO AND ZAIWU GONG College of Ecoomcs &
More informationBrownian Motion and Stochastic Calculus. Brownian Motion and Stochastic Calculus
Browa Moo Sochasc Calculus Xogzh Che Uversy of Hawa a Maoa earme of Mahemacs Seember, 8 Absrac Ths oe s abou oob decomoso he bascs of Suare egrable margales Coes oob-meyer ecomoso Suare Iegrable Margales
More informationFD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel
Apple a Compuaoal Mahemacs 5; 4(6): 445-45 Publshe ole Ocober 5 (hp://www.scecepublshggroup.com//acm) o:.648/.acm.546.7 ISS: 38-565 (Pr); ISS: 38-563 (Ole) FD-RBF for Paral Iegro-Dffereal Equaos wh a Weakly
More informationChapter 3: Maximum-Likelihood & Bayesian Parameter Estimation (part 1)
Aoucemes Reags o E-reserves Proec roosal ue oay Parameer Esmao Bomercs CSE 9-a Lecure 6 CSE9a Fall 6 CSE9a Fall 6 Paer Classfcao Chaer 3: Mamum-Lelhoo & Bayesa Parameer Esmao ar All maerals hese sles were
More informationAML710 CAD LECTURE 12 CUBIC SPLINE CURVES. Cubic Splines Matrix formulation Normalised cubic splines Alternate end conditions Parabolic blending
CUIC SLINE CURVES Cubc Sples Marx formulao Normalsed cubc sples Alerae ed codos arabolc bledg AML7 CAD LECTURE CUIC SLINE The ame sple comes from he physcal srume sple drafsme use o produce curves A geeral
More informationAnalysis of a Stochastic Lotka-Volterra Competitive System with Distributed Delays
Ieraoal Coferece o Appled Maheac Sulao ad Modellg (AMSM 6) Aaly of a Sochac Loa-Volerra Copeve Sye wh Drbued Delay Xagu Da ad Xaou L School of Maheacal Scece of Togre Uvery Togre 5543 PR Cha Correpodg
More informationUse of Non-Conventional Measures of Dispersion for Improved Estimation of Population Mean
Amerca Joural of Operaoal esearch 06 6(: 69-75 DOI: 0.59/.aor.06060.0 Use of o-coveoal Measures of Dsperso for Improve Esmao of Populao Mea ubhash Kumar aav.. Mshra * Alok Kumar hukla hak Kumar am agar
More informationDetermination of Antoine Equation Parameters. December 4, 2012 PreFEED Corporation Yoshio Kumagae. Introduction
refeed Soluos for R&D o Desg Deermao of oe Equao arameers Soluos for R&D o Desg December 4, 0 refeed orporao Yosho Kumagae refeed Iroduco hyscal propery daa s exremely mpora for performg process desg ad
More informationExponential Synchronization of the Hopfield Neural Networks with New Chaotic Strange Attractor
ITM Web of Cofeeces, 0509 (07) DOI: 0.05/ mcof/070509 ITA 07 Expoeal Sychozao of he Hopfeld Neual Newos wh New Chaoc Sage Aaco Zha-J GUI, Ka-Hua WANG* Depame of Sofwae Egeeg, Haa College of Sofwae Techology,qogha,
More informationMidterm Exam. Tuesday, September hour, 15 minutes
Ecoomcs of Growh, ECON560 Sa Fracsco Sae Uvers Mchael Bar Fall 203 Mderm Exam Tuesda, Sepember 24 hour, 5 mues Name: Isrucos. Ths s closed boo, closed oes exam. 2. No calculaors of a d are allowed. 3.
More informationGeneral Complex Fuzzy Transformation Semigroups in Automata
Joural of Advaces Compuer Research Quarerly pissn: 345-606x eissn: 345-6078 Sar Brach Islamc Azad Uversy Sar IRIra Vol 7 No May 06 Pages: 7-37 wwwacrausaracr Geeral Complex uzzy Trasformao Semgroups Auomaa
More information14. Poisson Processes
4. Posso Processes I Lecure 4 we roduced Posso arrvals as he lmg behavor of Bomal radom varables. Refer o Posso approxmao of Bomal radom varables. From he dscusso here see 4-6-4-8 Lecure 4 " arrvals occur
More informationQR factorization. Let P 1, P 2, P n-1, be matrices such that Pn 1Pn 2... PPA
QR facorzao Ay x real marx ca be wre as AQR, where Q s orhogoal ad R s upper ragular. To oba Q ad R, we use he Householder rasformao as follows: Le P, P, P -, be marces such ha P P... PPA ( R s upper ragular.
More informationSTABILITY CRITERION FOR HYBRID SYSTEMS WITH DELAY. Laviniu Bejenaru
STABILITY CRITERION FOR HYBRID SYSTEMS WITH DELAY Lavu Bejearu PhD sude, Deparme of Auomac Corol, Uversy of Craova, Romaa Emal: lbejearu@ yahoo.com Tel: +4 745 549373 Absrac: Ths paper preses hybrd sysems
More informationReliability Analysis of Sparsely Connected Consecutive-k Systems: GERT Approach
Relably Aalyss of Sparsely Coece Cosecuve- Sysems: GERT Approach Pooa Moha RMSI Pv. L Noa-2131 poalovely@yahoo.com Mau Agarwal Deparme of Operaoal Research Uversy of Delh Delh-117, Ia Agarwal_maulaa@yahoo.com
More informationModeling of the linear time-variant channel. Sven-Gustav Häggman
Moelg of he lear me-vara chael Sve-Gusav Häggma 2 1. Characerzao of he lear me-vara chael 3 The rasmsso chael (rao pah) of a rao commucao sysem s mos cases a mulpah chael. Whe chages ae place he propagao
More information( 1)u + r2i. f (x2i+1 ) +
Malaya Joural of Maemak, Vol. 6, No., 6-76, 08 hps://do.org/0.667/mjm060/00 Geeral soluo ad geeralzed Ulam - Hyers sably of r ype dmesoal quadrac-cubc fucoal equao radom ormed spaces: Drec ad fxed po mehods
More informationFourth Order Runge-Kutta Method Based On Geometric Mean for Hybrid Fuzzy Initial Value Problems
IOSR Joural of Mahemacs (IOSR-JM) e-issn: 2278-5728, p-issn: 29-765X. Volume, Issue 2 Ver. II (Mar. - Apr. 27), PP 4-5 www.osrjourals.org Fourh Order Ruge-Kua Mehod Based O Geomerc Mea for Hybrd Fuzzy
More informationLeast squares and motion. Nuno Vasconcelos ECE Department, UCSD
Leas squares ad moo uo Vascocelos ECE Deparme UCSD Pla for oda oda we wll dscuss moo esmao hs s eresg wo was moo s ver useful as a cue for recogo segmeao compresso ec. s a grea eample of leas squares problem
More informationEfficient Estimators for Population Variance using Auxiliary Information
Global Joural of Mahemacal cece: Theor ad Praccal. IN 97-3 Volume 3, Number (), pp. 39-37 Ieraoal Reearch Publcao Houe hp://www.rphoue.com Effce Emaor for Populao Varace ug Aular Iformao ubhah Kumar Yadav
More informationCoordinated Multiple Spacecraft Attitude Control with Communication Time Delays and Uncertainties
Chese Joural of Aeroaucs 5 () 698-78 Coes lss avalable a SceceDrec Chese Joural of Aeroaucs oural homepage: www.elsever.com/locae/ca Coorae Mulple Spacecraf Aue Corol wh Commucao me Delays a Uceraes LI
More informationRepresentation of Hamiltonian Formalism. in Dissipative Mechanical System
Ale Mahemacal ceces Vol. 4 00 o. 9 93-94 Rereseao of amloa ormalsm Dssave Mechacal ysem M. aer Al Bswas Tm ahra aue M. Elyas Karm a M. Ashkur Rahma Mahemacs Dscle Khula Uversy Khula-908 Baglaesh mhabswas@yahoo.com
More informationLeast Squares Fitting (LSQF) with a complicated function Theexampleswehavelookedatsofarhavebeenlinearintheparameters
Leas Squares Fg LSQF wh a complcaed fuco Theeampleswehavelookedasofarhavebeelearheparameers ha we have bee rg o deerme e.g. slope, ercep. For he case where he fuco s lear he parameers we ca fd a aalc soluo
More informationCyclone. Anti-cyclone
Adveco Cycloe A-cycloe Lorez (963) Low dmesoal aracors. Uclear f hey are a good aalogy o he rue clmae sysem, bu hey have some appealg characerscs. Dscusso Is he al codo balaced? Is here a al adjusme
More informationDelay-Range-Dependent Stability Analysis for Continuous Linear System with Interval Delay
Inernaonal Journal of Emergng Engneerng esearch an echnology Volume 3, Issue 8, Augus 05, PP 70-76 ISSN 349-4395 (Prn) & ISSN 349-4409 (Onlne) Delay-ange-Depenen Sably Analyss for Connuous Lnear Sysem
More informationInternational Journal Of Engineering And Computer Science ISSN: Volume 5 Issue 12 Dec. 2016, Page No.
www.jecs. Ieraoal Joural Of Egeerg Ad Compuer Scece ISSN: 19-74 Volume 5 Issue 1 Dec. 16, Page No. 196-1974 Sofware Relably Model whe mulple errors occur a a me cludg a faul correco process K. Harshchadra
More informationBianchi Type II Stiff Fluid Tilted Cosmological Model in General Relativity
Ieraoal Joural of Mahemacs esearch. IN 0976-50 Volume 6, Number (0), pp. 6-7 Ieraoal esearch Publcao House hp://www.rphouse.com Bach ype II ff Flud led Cosmologcal Model Geeral elay B. L. Meea Deparme
More informationResearch on portfolio model based on information entropy theory
Avalable ole www.jocpr.com Joural of Chemcal ad Pharmaceucal esearch, 204, 6(6):286-290 esearch Arcle ISSN : 0975-7384 CODEN(USA) : JCPC5 esearch o porfolo model based o formao eropy heory Zhag Jusha,
More informationClassificationofNonOscillatorySolutionsofNonlinearNeutralDelayImpulsiveDifferentialEquations
Global Joural of Scece Froer Research: F Maheacs ad Decso Sceces Volue 8 Issue Verso. Year 8 Type: Double Bld Peer Revewed Ieraoal Research Joural Publsher: Global Jourals Ole ISSN: 49-466 & Pr ISSN: 975-5896
More informationFault Tolerant Computing. Fault Tolerant Computing CS 530 Probabilistic methods: overview
Probably 1/19/ CS 53 Probablsc mehods: overvew Yashwa K. Malaya Colorado Sae Uversy 1 Probablsc Mehods: Overvew Cocree umbers presece of uceray Probably Dsjo eves Sascal depedece Radom varables ad dsrbuos
More informationA Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition
SSN 76-7659 Eglad K Joural of forao ad Copug Scece Vol 7 No 3 pp 63-7 A Secod Kd Chebyshev olyoal Approach for he Wave Equao Subec o a egral Coservao Codo Soayeh Nea ad Yadollah rdokha Depare of aheacs
More informationThe Bernstein Operational Matrix of Integration
Appled Mahemacal Sceces, Vol. 3, 29, o. 49, 2427-2436 he Berse Operaoal Marx of Iegrao Am K. Sgh, Vee K. Sgh, Om P. Sgh Deparme of Appled Mahemacs Isue of echology, Baaras Hdu Uversy Varaas -225, Ida Asrac
More informationCyclically Interval Total Colorings of Cycles and Middle Graphs of Cycles
Ope Joural of Dsree Mahemas 2017 7 200-217 hp://wwwsrporg/joural/ojdm ISSN Ole: 2161-7643 ISSN Pr: 2161-7635 Cylally Ierval Toal Colorgs of Cyles Mddle Graphs of Cyles Yogqag Zhao 1 Shju Su 2 1 Shool of
More informationOn an algorithm of the dynamic reconstruction of inputs in systems with time-delay
Ieraoal Joural of Advaces Appled Maemacs ad Mecacs Volume, Issue 2 : (23) pp. 53-64 Avalable ole a www.jaamm.com IJAAMM ISSN: 2347-2529 O a algorm of e dyamc recosruco of pus sysems w me-delay V. I. Maksmov
More informationRandom Generalized Bi-linear Mixed Variational-like Inequality for Random Fuzzy Mappings Hongxia Dai
Ro Geeralzed B-lear Mxed Varaoal-lke Iequaly for Ro Fuzzy Mappgs Hogxa Da Depare of Ecooc Maheacs Souhweser Uversy of Face Ecoocs Chegdu 674 P.R.Cha Absrac I h paper we roduce sudy a ew class of ro geeralzed
More informationNeural Network Global Sliding Mode PID Control for Robot Manipulators
Neural Newor Global Sldg Mode PID Corol for Robo Mapulaors. C. Kuo, Member, IAENG ad Y. J. Huag, Member, IAENG Absrac hs paper preses a eural ewor global PID-sldg mode corol mehod for he racg corol of
More informationResearch Article Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion
Hdaw Publshg Corporao Joural of Appled Mahemacs Volume 4, Arcle ID 4954, 6 pages hp://dx.do.org/.55/4/4954 Research Arcle Asympoc Behavour ad Exco of Delay Loka-Volerra Model wh Jump-Dffuso Da L, Jg a
More informationOther Topics in Kernel Method Statistical Inference with Reproducing Kernel Hilbert Space
Oher Topcs Kerel Mehod Sascal Iferece wh Reproducg Kerel Hlber Space Kej Fukumzu Isue of Sascal Mahemacs, ROIS Deparme of Sascal Scece, Graduae Uversy for Advaced Sudes Sepember 6, 008 / Sascal Learg Theory
More informationSolution set Stat 471/Spring 06. Homework 2
oluo se a 47/prg 06 Homework a Whe he upper ragular elemes are suppressed due o smmer b Le Y Y Y Y A weep o he frs colum o oba: A ˆ b chagg he oao eg ad ec YY weep o he secod colum o oba: Aˆ YY weep o
More informationCONTROLLABILITY OF A CLASS OF SINGULAR SYSTEMS
44 Asa Joural o Corol Vol 8 No 4 pp 44-43 December 6 -re Paper- CONTROLLAILITY OF A CLASS OF SINGULAR SYSTEMS Guagmg Xe ad Log Wag ASTRACT I hs paper several dere coceps o corollably are vesgaed or a class
More informationFor the plane motion of a rigid body, an additional equation is needed to specify the state of rotation of the body.
The kecs of rgd bodes reas he relaoshps bewee he exeral forces acg o a body ad he correspodg raslaoal ad roaoal moos of he body. he kecs of he parcle, we foud ha wo force equaos of moo were requred o defe
More informationChapter 8. Simple Linear Regression
Chaper 8. Smple Lear Regresso Regresso aalyss: regresso aalyss s a sascal mehodology o esmae he relaoshp of a respose varable o a se of predcor varable. whe here s jus oe predcor varable, we wll use smple
More informationA note on Turán number Tk ( 1, kn, )
A oe o Turá umber T (,, ) L A-Pg Beg 00085, P.R. Cha apl000@sa.com Absrac: Turá umber s oe of prmary opcs he combaorcs of fe ses, hs paper, we wll prese a ew upper boud for Turá umber T (,, ). . Iroduco
More informationOn the Incompressible Navier-Stokes Equations with Damping *
Apple Maheacs 3 4 65-658 hp://xoorg/436/a34489 Publshe Ole Aprl 3 (hp://wwwscrporg/oural/a) O he Icopressble Naver-Sokes Equaos wh Dapg * Weya Zhao Zhbo Zheg # Depare of Maheacs Baosha Uversy Baosha Cha
More informationSolving fuzzy linear programming problems with piecewise linear membership functions by the determination of a crisp maximizing decision
Frs Jo Cogress o Fuzzy ad Iellge Sysems Ferdows Uversy of Mashhad Ira 9-3 Aug 7 Iellge Sysems Scefc Socey of Ira Solvg fuzzy lear programmg problems wh pecewse lear membershp fucos by he deermao of a crsp
More informationThe MacWilliams Identity of the Linear Codes over the Ring F p +uf p +vf p +uvf p
Reearch Joural of Aled Scece Eeer ad Techoloy (6): 28-282 22 ISSN: 2-6 Maxwell Scefc Orazao 22 Submed: March 26 22 Acceed: Arl 22 Publhed: Auu 5 22 The MacWllam Idey of he Lear ode over he R F +uf +vf
More informationPartial Molar Properties of solutions
Paral Molar Properes of soluos A soluo s a homogeeous mxure; ha s, a soluo s a oephase sysem wh more ha oe compoe. A homogeeous mxures of wo or more compoes he gas, lqud or sold phase The properes of a
More informationNon-integrability of Painlevé V Equations in the Liouville Sense and Stokes Phenomenon
Avaces Pure Mahemacs,,, 7-8 o:.46/apm..4 Publshe Ole July (hp://www.scrp.org/oural/apm) No-egrably of Palevé V Equaos he Louvlle Sese a Sokes Pheomeo Absrac Tsveaa Soyaova Tsveaa Soyaova, Deparme of Mahemacs
More informationNumerical approximatons for solving partial differentıal equations with variable coefficients
Appled ad Copuaoal Maheacs ; () : 9- Publshed ole Februar (hp://www.scecepublshggroup.co/j/ac) do:.648/j.ac.. Nuercal approaos for solvg paral dffereıal equaos wh varable coeffces Ves TURUT Depare of Maheacs
More informationEE 6885 Statistical Pattern Recognition
EE 6885 Sascal Paer Recogo Fall 005 Prof. Shh-Fu Chag hp://.ee.columba.edu/~sfchag Lecure 8 (/8/05 8- Readg Feaure Dmeso Reduco PCA, ICA, LDA, Chaper 3.8, 0.3 ICA Tuoral: Fal Exam Aapo Hyväre ad Erkk Oja,
More informationComparison of the Bayesian and Maximum Likelihood Estimation for Weibull Distribution
Joural of Mahemacs ad Sascs 6 (2): 1-14, 21 ISSN 1549-3644 21 Scece Publcaos Comarso of he Bayesa ad Maxmum Lkelhood Esmao for Webull Dsrbuo Al Omar Mohammed Ahmed, Hadeel Salm Al-Kuub ad Noor Akma Ibrahm
More informationSOLUTION OF PARABOLA EQUATION BY USING REGULAR,BOUNDARY AND CORNER FUNCTIONS
SOLUTION OF PAABOLA EQUATION BY USING EGULA,BOUNDAY AND CONE FUNCTIONS Dr. Hayder Jabbar Abood, Dr. Ifchar Mdhar Talb Deparme of Mahemacs, College of Edcao, Babylo Uversy. Absrac:- we solve coverge seqece
More informationThe textbook expresses the stock price as the present discounted value of the dividend paid and the price of the stock next period.
ublc Affars 974 Meze D. Ch Fall Socal Sceces 748 Uversy of Wscos-Madso Sock rces, News ad he Effce Markes Hypohess (rev d //) The rese Value Model Approach o Asse rcg The exbook expresses he sock prce
More informationSupplement Material for Inverse Probability Weighted Estimation of Local Average Treatment Effects: A Higher Order MSE Expansion
Suppleme Maeral for Iverse Probably Weged Esmao of Local Average Treame Effecs: A Hger Order MSE Expaso Sepe G. Doald Deparme of Ecoomcs Uversy of Texas a Aus Yu-C Hsu Isue of Ecoomcs Academa Sca Rober
More informationMathematical Formulation
Mahemacal Formulao The purpose of a fe fferece equao s o appromae he paral ffereal equao (PE) whle maag he physcal meag. Eample PE: p c k FEs are usually formulae by Taylor Seres Epaso abou a po a eglecg
More informationD 2 : Decentralized Training over Decentralized Data
D : Deceralzed rag over Deceralzed Daa Hal ag Xagru La Mg Ya 3 Ce Zhag 4 J Lu 5 Absrac Whle rag a mache learg model usg mulple workers, each of whch collecs daa from s ow daa source, would be useful whe
More informationComplementary Tree Paired Domination in Graphs
IOSR Joural of Mahemacs (IOSR-JM) e-issn: 2278-5728, p-issn: 239-765X Volume 2, Issue 6 Ver II (Nov - Dec206), PP 26-3 wwwosrjouralsorg Complemeary Tree Pared Domao Graphs A Meeaksh, J Baskar Babujee 2
More informationAn Exact Solution for the Differential Equation. Governing the Lateral Motion of Thin Plates. Subjected to Lateral and In-Plane Loadings
Appled Mahemacal Sceces, Vol., 8, o. 34, 665-678 A Eac Soluo for he Dffereal Equao Goverg he Laeral Moo of Th Plaes Subjeced o Laeral ad I-Plae Loadgs A. Karmpour ad D.D. Gaj Mazadara Uvers Deparme of
More information