Armenian Theory of Special Relativity
|
|
- Rolf Joseph
- 5 years ago
- Views:
Transcription
1 renin Theory of Speil Reliiy ( Illusred) Rober Nzryn, & Hik Nzryn hysis Depren, Yeren Se Uniersiy, Yeren 005, reni hysis sronoy Depren, Cliforni Se Uniersiy, Norhridge, US bsr The i of his urren rile is o illusre in deil renin reliisi foruls opre he ih orenz reliisi foruls so h reders n esily differenie hese o heories isulize ho generl rih our renin Theory of Speil Reliiy relly is ih speulr build in syery. Then e re going behind his oprison illusring h build in syery inside renin Theory of Speil Reliiy is reinrning he eher s uniersl referene ediu, hih is no onrry o reliiy heory. We heilly proe he exisene of eher e sho ho o exr infinie energy fro he ie-spe or sub-oi eher ediu. Our heory explins ll hese fs peefully brings ogeher folloers of bsolue eher heory, reliisi eher heory or folloers of drk er heory. We lso enion h he bsolue eher ediu hs ery oplex geoeri hrer, hih hs neer been seen before. We re explining hy NS s erlier "B" DR s "Csiir ffe nhneen" progrs filed. We re lso sing h he ie is righ o reopen NS s B progr fuel he sperfs using he eeryhere exising eher syeri oenu fore. CS: p Keyords: renin Reliiy; orenz Reliiy; Reliisi; Trnsforions; Kineis; Dynis; Free nergy; Drk nergy * Corresponding uhor, -il: rober@reninheory.o US Copyrigh Offie Regisrion Nubers: TXu TXu
2 Coprison renin orenz Reliisi Foruls. Inroduion (egy siene s n orgnized insiuion dug is on gre.) Firs of ll e ppreie he f h our rile "renin Theory of Speil Reliiy" eenully s published in o gzines, ho found i iporn enough o delier our ne reoluionry ides in physis o he sienifi ouniy.. Inugurl Issue of IJRST (Inernionl Journl of Reiprol Syery Theoreil hysis), olue, nuber (pril-04), by sin Business Consoriu Reserh House BC.. "Infinie nergy" gzine on he hisori5-h nniersry of old fusion onferene, olue 0, issue 5 (My-04), by Ne nergy Foundion. The gzine of ne energy siene ehnology. These o gzines proides foru of debe for fronier siene h s hy our rile "renin Theory of Speil Reliiy" hs been published in is proper ples here sieniss n disuss ne deried generlized orenz-oinre reliisi heory ih ne zing reliisi foruls find y o hrness infinie energy fro ie-spe oninuu or ore preisely fro he eher s hidden sub-qunu ediu. The i of his urren rile is o illusre in deil renin reliisi foruls opre he ih orenz reliisi foruls so h reders n esily differenie hese o heories isulize ho generl rih our renin Theory of Speil Reliiy relly is ih speulr build in syery. I is orh o enion lso h orenz rnsforion equions ll oher orenz reliisi foruls n be obined fro he renin Theory of Speil Reliiy s priulr se, by subsiuing s 0 g. NS s erlier progr (beeen yers) lled "Brekhrough ropulsion hysis" filed beuse hey didn he orre reliisi foruls. The se hppened ih DR s "Csiir ffe nhneen progr" hen rying o hrness he Csiir fore in uu using h energy o poer propulsion syse. They didn sueed eiher beuse of he se reson - hey did no he orre qunu ehnis heory equions. The ie is righ o reopen NS s B progr, bu his ie using our eeryhere exising eher oenu fore. In our huble opinion, using renin Theory of Speil Reliiy i s proising reliisi foruls - ll h ork n be done ihin o o hree yers, hih ill bring forh he dn of ne ehnologil er. Th s hy I is our plesure o infor he sienifi ouniy lrge, h in our in reserh-nusrip e he sueeded o build heilly solid heory of speil reliiy in one diensionl spe derie ne rnsforion equions ny oher ne fsining reliisi foruls, hih re n unbiguous generlizion of he orenz rnsforion equions ll oher orenz reliisi foruls. Our rile is he uulion of ll effors fro heiins physiiss o build ore generl rnsforion equions of reliiy in one diension. Our published nusrip rees prdig for dne sudies in reliisi kineis dynis. The ron jeel of he renin Theory of Speil Reliiy is renin energy oenu foruls, hih he orld hs neer seen before. Our renin heory hs unpredible ppliions in pplied physis. Suh s, by nipuling he ie-spe nueril onsns s g (priulrly in heil or in herl enironen) e n obin nuerous ind bloing pril resuls, inluding heoreil poiner of ho o hrness infinie energy fro ie-spe oninuu ho o use res prile syeri oenu forul o do i. Our nusrip ould be of ineres o brod redership inluding hose ho re ineresed in heoreil spes of eleporion, ie rel, nigriion, free energy uh ore... The ie hs oe o reinrne he eher s uniersl referene ediu hih is no onrry o reliiy heory, beuse for eher ineril syse he syeri oeffiien jus equls zero s 0. nd our heory explins ll hese fs peefully brings ogeher folloers of bsolue eher heory, reliisi eher heory or folloers of drk er heory. We jus need o enion h he bsolue eher ediu hs ery oplex geoeri hrer, hih hs neer been seen before. renin Theory of Reliiy differs fro ll oher old fusion reserhers heories by no onsruing soe rifiil foruls o explin he innuerous infinie energy experienl resuls. We insed sueeded on building beuiful heory of reliiy (in one diension) ordingly reeied ny ery iporn ne foruls. Finlly e heilly proed he exisene of uniersl eher ineril syse renin reliisi foruls need o guide ll brigh experienors on he journey of ho o exr infinie energy fro he ie-spe or sub-oi eher ediu. The ie is righ o sy h 00 yers of inquisiion in physis is no oer eher nergy ge hs begun! -
3 Coprison renin orenz Reliisi Foruls. egend of he Used Sybols Fundenl physil quniies ie oordine noion x spe oordine noion generl slr quniy noion generl eor quniy noion 0 renin orenz res sses (0) Dire reiprol relie eloiy noions sses of he oing prile eloiy K ineril syse respe o he K ineril syse eloiy K ineril syse respe o he K ineril syse u eloiy K ineril syse respe o he K ineril syse u eloiy K ineril syse respe o he K ineril syse eloiy K ineril syse respe o he K ineril syse eloiy K ineril syse respe o he K ineril syse (0) elerion noions, elerions of he prile in he K ineril syse b, b b elerions of he prile in he K ineril syse (03) Deried physil quniies renin orenz grngin noions renin orenz energy noions renin orenz oenu noions F F renin orenz fore noions (04) G G Glilen energy oenu noions renin orenz rnsforion rixes h h renin orenz irroring rixes Mirror refleion noions for physil quniies irror refleion of he ie quniy, x irror refleion of he spe quniy x irror eloiy equls reiprol eloiy irror refleion of he slr quniy irror refleion of he eor quniy irror refleions of he elerions, F F irror refleions of he fores F F irror refleions of he energies irror refleions of he oenus (05) 3 -
4 Coprison renin orenz Reliisi Foruls 3. Coprison renin orenz Reliisi Foruls Tie-Spe Mirror Trnsforion quions orenz rnsforions sx x x x x (06) Tie-Spe Trnsforion quions Beeen Moing Ineril Syses 4 Dire rnsforions orenz rnsforions s x x g x x x x (07) Inerse rnsforions orenz rnsforions s x x g x x x x (08) Generl Slr-Veor, Mirror Trnsforion quions orenz rnsforions s (09) Generl Slr-Veor, Trnsforion quions Beeen Moing Ineril Syses Dire rnsforions orenz rnsforions s g (0) Inerse rnsforions orenz rnsforions s g () 4 -
5 Coprison renin orenz Reliisi Foruls Mirror Trnsforion Mrixes renin irroring rix orenz irroring rix s () Generl Slr-Veor, Relie Moeen Trnsforion Mrixes renin rnsforion rix orenz rnsforion rix s g g s (3) Relion Beeen Reiprol Dire Relie Veloiies 5 renin relions orenz relion s s (4) For boh relions in 4 rue he folloing rnsforion: (5) G Funion Foruls 6 renin g funions orenz g funion s g s g (6) G Funions roperies 7 renin properies orenz properies s 0 (7) s s 0 Inrin Inerl Foruls 8 renin inerl forul s x gx sx gx 0 orenz inerl forul x x 0 (8) 5 -
6 Coprison renin orenz Reliisi Foruls ddiion of Veloiies G Funion Trnsforions 0 orenz rnsforions u u s u g u u g u u u u u u (9) Subrion of Veloiies G Funion Trnsforions 0 orenz rnsforions u s g u s g u u (0) Tie engh Chnges Respe K Ineril Syse 9 renin hnges orenz hnges 0 0 s g 0 0 () l l 0 l 0 s g l l 0 l 0 Tie engh Chnges Respe K Ineril Syse 9 renin hnges orenz hnges 0 0 s g 0 0 () l l 0 l 0 s g l l 0 l 0 Surpluses (Residues) of he Tie engh Chnges renin surpluses orenz surpluses s s l l l s l s l 0 l 0 (3) elerions Mirror Trnsforion quions orenz rnsforion s s 3 3 (4) 6 -
7 Coprison renin orenz Reliisi Foruls elerion Trnsforion quions Beeen Moing Ineril Syses 6 orenz rnsforions b 3 s g 3 g u 3 3 b b 3 3 u 3 3 b (5) Ne elerions Definiions 7 renin elerions orenz elerions 3 3 ub 3 3 u b 3 3 ub 3 3 u b (6) Ne elerions roperies renin properies orenz properies (7) grngin Funions For Free Moing rile 8 renin grngin orenz grngin s g (8) grngin Funions Mirror Trnsforion quions orenz rnsforions s s (9) grngin Funion Trnsforion quions Beeen Moing Ineril Syses renin Trnsforions orenz Trnsforions u s g s g s g g u u u u u (30) 7 -
8 Coprison renin orenz Reliisi Foruls Free Moing rile nergy Moenu Foruls 9 (The Cron Jeel of he renin Theory of Reliiy) renin foruls orenz foruls s s g g s s g (3) nergy Moenu Trnsforion quions Beeen Moing Ineril Syses 4 Dire rnsforions orenz Trnsforions s g (3) Inerse Trnsforions orenz Trnsforions s g (33) Inrin (or Full) nergy-moenu Foruls 5 renin inrin energy-oenu forul s g s g g 4 s 0 (34) orenz inrin energy-oenu forul 0 (35) nergy Moenu Mirror Refleion Foruls renin foruls orenz foruls s 0 (36) Tie lengh hnge foruls in s deried in our nusrip, herefore hey re orre. We he no ye sueeded in deriing he orre forul for represening oing priles ss hnge, herefore e need o deide hih forul of ss hnge is ore proper hoie, unil e find he y o derie i or ke n experien o find he righ forul. There re hree logil hoies: firs hoie is o go he legy reliiy y he oher o hoies follos direly fro he renin energy oenu foruls. ll hose hree hoies n be seen belo: 8 -
9 Coprison renin orenz Reliisi Foruls egy reliiy y 3 s g s (37) We need o nlyze hese hree hoies seprely hen lule he ss surpluses for hese hree ses. For legy reliiy, ll hese hree ses oinide ih eh oher herefore, here is no onrdiion ll. Mss Chnges Respe K K Ineril Syses 9. Firs hoie renin hnges of he oing ss orenz hnges of he oing ss s g s g (38) Surplusesofhessforhisse renin surplus orenz surplus s s 0 (39). Seond hoie renin hnges of he oing ss orenz hnges of he oing ss s s s s g s s g (40) Surpluses of he ss hnges for his se renin surplus orenz surplus 0 0 (4) 3. Third hoie renin hnges of he oing ss orenz hnges of he oing ss g s g s g s s g g s g (4) 9 -
10 Coprison renin orenz Reliisi Foruls Surpluses of he ss hnges for his se renin surplus s orenz surplus s s g 0 (43) The ss of he oing prile is no n iporn quniy nyore. The ore iporn quniy beoes he prile s res ss hih hs rel physil ening. In renin Theory of Speil Reliiy e lso define ne res ss quniy, hih is ore generl n lso he negie lue s ell, jus like prile s hrge. Res Mss Foruls renin res ss orenz res ss g 4 s (44) Fore Foruls 6 renin fore forul orenz fore forul F g 4 s 3 F g 4 s 3 0 F 3 F 3 (45) Fore Trnsforion Foruls Beeen Moing Ineril Syses 7 resered Neon s ls renin foruls orenz foruls Neon s seond l Neon s hird l F F F F F F F F (46) Res rile nergy Moenu Foruls rogress Chronile Glilen foruls orenz foruls renin foruls G 0 0 G s (47) - This res prile energy forul gies us nuler poer. - This res prile oenu forul is he reniu forul - gif o huniy s len free energy soure. Rnge of Veloiies of Moing rile in he renin Theory of Reliiy 3, 4, 5 g \ s s 0 s 0 s 0 g g 0 0 g 0 0 s g s 0 s 0 0 g s 0 s 0 0 (48) 0 -
11 Coprison renin orenz Reliisi Foruls 4. Conlusions s you n see fro he boe oprisons of renin orenz reliisi foruls, renin reliisi foruls is full of syery, hih is in eery single forul beuse of oeffiien syery s h syery is he essene exiing pr of he renin Theory of Reliiy. Therefore e define br ne geoeril spe - renin Spe o sisfy renin Theory of Speil Reliiy, ih ery srnge properies in hree diensions, suh s: i i i i i i s i (49) e s sr nlyzing he ron jeel of he renin Theory of Reliiy - he renin energy oenu foruls 3. Then e find ou h he free oing prile ih eloiy in he ineril syse K hs he folloing hree exree siuions: oing prile s eloiy equls zero 0 oing prile s energy equls zero 0 3 oing prile s oenu equls zero 0 (50) For hese hree ses 50 he prile hs differen eloiies ordingly, using 6, e he hree differen lues of renin g funion s shon belo: 0 0 s 3 s g 4 s s g 4 s g (5) Therefore using he eloiy renin g funion lues gien by 5, e n obin fro 3 he prile s renin energy oenu lues for hese hree exree ses: 0 0 s 0 g 4 s 3 4 s g 0 (5) Ho n e explin ll of hese srnge resuls, hih is unhinkble fro he legy physis poin of ie? Wh is relly he physil enings of he folloing hree ses? When prile is resing in he ineril syse K 0, bu prile sill hs oenu. When prile is oing eloiy ih respe o he ineril syse K, bu i s energy equls zero. 3When prile oes ih respe o he ineril syse K eloiy, bu his ie i s oenu equl zero. Mos physiiss ody ould ie ll of hese bizrre resuls - srigh resuls of he renin Theory of Reliiy, s oplee dness hey ill sy h ll hese fs ould bring he end of physis s e kno i. Till no due o exree dogis, he properies of ie-spe syery ll physil quniies syeri rnsforions re neer offiilly sudied. The role of syery iolions in physis is no undersood by physiiss. Th is here he renin Theory of Speil Reliiy oes o ply, hih explins ll of hese "ipossible iolions" brings o quesion ll physil ls of legy hrd siene des reision under hese rerkble ne irusnes. For exple, in he firs se - he eloiy of he prile equls zero, hih ens h he prile is res in he ineril syse K, bu he se prile sill hs oenu hih is dependen on oeffiien s. There is only one logil explnion - h here exiss n eher ediu h he eher is silenly drgging he prile bk in he opposie direion of he oeen ineril syse K. We n hrness infinie energy fro h res prile s oenu jus s e re hrnessing energy fro he ind using indill. In he se nner e n explin he hird se, bu he seond se is bi of hllenge. Referene [] R. Nzryn H. Nzryn, Infinie nergy, Vol. 0, Issue 5, ges 40-4 (04) -
Using hypothesis one, energy of gravitational waves is directly proportional to its frequency,
ushl nd Grviy Prshn Shool of Siene nd ngineering, Universiy of Glsgow, Glsgow-G18QQ, Unied ingdo. * orresponding uhor: : Prshn. Shool of Siene nd ngineering, Universiy of Glsgow, Glsgow-G18QQ, Unied ingdo,
More information4.8 Improper Integrals
4.8 Improper Inegrls Well you ve mde i hrough ll he inegrion echniques. Congrs! Unforunely for us, we sill need o cover one more inegrl. They re clled Improper Inegrls. A his poin, we ve only del wih inegrls
More informationP441 Analytical Mechanics - I. Coupled Oscillators. c Alex R. Dzierba
Lecure 3 Mondy - Deceber 5, 005 Wrien or ls upded: Deceber 3, 005 P44 Anlyicl Mechnics - I oupled Oscillors c Alex R. Dzierb oupled oscillors - rix echnique In Figure we show n exple of wo coupled oscillors,
More informationSeptember 20 Homework Solutions
College of Engineering nd Compuer Science Mechnicl Engineering Deprmen Mechnicl Engineering A Seminr in Engineering Anlysis Fll 7 Number 66 Insrucor: Lrry Creo Sepember Homework Soluions Find he specrum
More information(b) 10 yr. (b) 13 m. 1.6 m s, m s m s (c) 13.1 s. 32. (a) 20.0 s (b) No, the minimum distance to stop = 1.00 km. 1.
Answers o Een Numbered Problems Chper. () 7 m s, 6 m s (b) 8 5 yr 4.. m ih 6. () 5. m s (b).5 m s (c).5 m s (d) 3.33 m s (e) 8. ().3 min (b) 64 mi..3 h. ().3 s (b) 3 m 4..8 mi wes of he flgpole 6. (b)
More informationDerivation of longitudinal Doppler shift equation between two moving bodies in reference frame at rest
Deriaion o longiudinal Doppler shi equaion beween wo moing bodies in reerene rame a res Masanori Sao Honda Eleronis Co., d., Oyamazuka, Oiwa-ho, Toyohashi, ihi 44-393, Japan E-mail: msao@honda-el.o.jp
More informationA Closed Model of the Universe
Inernionl Journl of Asronomy nd Asrophysis 03 3 89-98 hp://dxdoiorg/036/ij0330 Published Online June 03 (hp://wwwsirporg/journl/ij) A Closed Model of he Universe Fdel A Bukhri Deprn of Asronomy Fuly of
More informationChapter Direct Method of Interpolation
Chper 5. Direc Mehod of Inerpolion Afer reding his chper, you should be ble o:. pply he direc mehod of inerpolion,. sole problems using he direc mehod of inerpolion, nd. use he direc mehod inerpolns o
More informationGeneralization of Galilean Transformation
enerlizion of lilen Trnsformion Romn Szosek Rzeszów Uniersiy of Tehnology Deprmen of Quniie ehods Rzeszów Polnd rszosek@prz.edu.pl Absr: In he rile generlized lilen rnsformion ws deried. Obined rnsformion
More informationCylindrically Symmetric Marder Universe and Its Proper Teleparallel Homothetic Motions
J. Bsi. Appl. i. Res. 4-5 4 4 TeRod Publiion IN 9-44 Journl of Bsi nd Applied ienifi Reserh www.erod.om Clindrill mmeri Mrder Universe nd Is Proper Teleprllel Homohei Moions Amjd Ali * Anwr Ali uhil Khn
More informationDeriving the Useful Expression for Time Dilation in the Presence Of the Gravitation by means of a Light Clock
IOSR Journal of Applied Physis (IOSR-JAP) e-issn: 78-486Volue 7, Issue Ver II (Mar - Apr 5), PP 7- wwwiosrjournalsorg Deriing he Useful xpression for Tie Dilaion in he Presene Of he Graiaion by eans of
More informationGeneralized The General Relativity Using Generalized Lorentz Transformation
P P P P IJISET - Inernaional Journal of Innoaie Siene, Engineering & Tehnology, Vol. 3 Issue 4, April 6. www.ijise.om ISSN 348 7968 Generalized The General Relaiiy Using Generalized Lorenz Transformaion
More informationProper Projective Symmetry in some well known Conformally flat Space-Times
roper rojeie Smmer in some well nown onformll fl Spe-Times Ghulm Shir Ful of Engineering Sienes GIK Insiue of Engineering Sienes nd Tehnolog Topi Swi NWF isn Emil: shir@gii.edu.p sr sud of onformll fl
More informationEinstein s Derivation of the Lorentz Transformations in the1905 Paper is Internally Inconsistent
Einsein s Deriion of he Lorenz Trnsformions in he195 Pper is Inernlly Inonsisen Jon C. Freemn Absr The generl onsensus in lierure onerning Einsein s 195 pper on speil reliiy, is h he independenly deried
More informationA Kalman filtering simulation
A Klmn filering simulion The performnce of Klmn filering hs been esed on he bsis of wo differen dynmicl models, ssuming eiher moion wih consn elociy or wih consn ccelerion. The former is epeced o beer
More informationComputer Aided Geometric Design
Copue Aided Geoei Design Geshon Ele, Tehnion sed on ook Cohen, Riesenfeld, & Ele Geshon Ele, Tehnion Definiion 3. The Cile Given poin C in plne nd nue R 0, he ile ih ene C nd dius R is defined s he se
More informationMotion. Part 2: Constant Acceleration. Acceleration. October Lab Physics. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration.
Moion Accelerion Pr : Consn Accelerion Accelerion Accelerion Accelerion is he re of chnge of velociy. = v - vo = Δv Δ ccelerion = = v - vo chnge of velociy elpsed ime Accelerion is vecor, lhough in one-dimensionl
More informationAmit Mehra. Indian School of Business, Hyderabad, INDIA Vijay Mookerjee
RESEARCH ARTICLE HUMAN CAPITAL DEVELOPMENT FOR PROGRAMMERS USING OPEN SOURCE SOFTWARE Ami Mehra Indian Shool of Business, Hyderabad, INDIA {Ami_Mehra@isb.edu} Vijay Mookerjee Shool of Managemen, Uniersiy
More informationPHYS-3301 Lecture 5. Chapter 2. Announcement. Sep. 12, Special Relativity. What about y and z coordinates? (x - direction of motion)
Announemen Course webpage hp://www.phys.u.edu/~slee/33/ Tebook PHYS-33 Leure 5 HW (due 9/4) Chaper, 6, 36, 4, 45, 5, 5, 55, 58 Sep., 7 Chaper Speial Relaiiy. Basi Ideas. Consequenes of Einsein s Posulaes
More informatione t dt e t dt = lim e t dt T (1 e T ) = 1
Improper Inegrls There re wo ypes of improper inegrls - hose wih infinie limis of inegrion, nd hose wih inegrnds h pproch some poin wihin he limis of inegrion. Firs we will consider inegrls wih infinie
More informationLAB # 2 - Equilibrium (static)
AB # - Equilibrium (saic) Inroducion Isaac Newon's conribuion o physics was o recognize ha despie he seeming compleiy of he Unierse, he moion of is pars is guided by surprisingly simple aws. Newon's inspiraion
More informationTwo Coupled Oscillators / Normal Modes
Lecure 3 Phys 3750 Two Coupled Oscillaors / Normal Modes Overview and Moivaion: Today we ake a small, bu significan, sep owards wave moion. We will no ye observe waves, bu his sep is imporan in is own
More informationThree Dimensional Coordinate Geometry
HKCWCC dvned evel Pure Mhs. / -D Co-Geomer Three Dimensionl Coordine Geomer. Coordine of Poin in Spe Z XOX, YOY nd ZOZ re he oordine-es. P,, is poin on he oordine plne nd is lled ordered riple. P,, X Y
More informationThe solution is often represented as a vector: 2xI + 4X2 + 2X3 + 4X4 + 2X5 = 4 2xI + 4X2 + 3X3 + 3X4 + 3X5 = 4. 3xI + 6X2 + 6X3 + 3X4 + 6X5 = 6.
[~ o o :- o o ill] i 1. Mrices, Vecors, nd Guss-Jordn Eliminion 1 x y = = - z= The soluion is ofen represened s vecor: n his exmple, he process of eliminion works very smoohly. We cn elimine ll enries
More informationForms of Energy. Mass = Energy. Page 1. SPH4U: Introduction to Work. Work & Energy. Particle Physics:
SPH4U: Inroducion o ork ork & Energy ork & Energy Discussion Definiion Do Produc ork of consn force ork/kineic energy heore ork of uliple consn forces Coens One of he os iporn conceps in physics Alernive
More informationTHE EXTENDED TANH METHOD FOR SOLVING THE -DIMENSION NONLINEAR DISPERSIVE LONG WAVE EQUATION
Jornl of Mhemil Sienes: Adnes nd Appliions Volme Nmer 8 Pes 99- THE EXTENDED TANH METHOD FOR SOLVING THE ( ) -DIMENSION NONLINEAR DISPERSIVE LONG WAVE EQUATION SHENGQIANG TANG KELEI ZHANG nd JIHONG RONG
More information0 for t < 0 1 for t > 0
8.0 Sep nd del funcions Auhor: Jeremy Orloff The uni Sep Funcion We define he uni sep funcion by u() = 0 for < 0 for > 0 I is clled he uni sep funcion becuse i kes uni sep = 0. I is someimes clled he Heviside
More informationDerivation of the Missing Equations of Special Relativity from de-broglie s Matter Wave Concept and the Correspondence between Them
Asian Journa of Aied Siene and Engineering, Voue, No /3 ISSN 35-95X(); 37-9584(e) Deriaion of he Missing Equaions of Seia Reaiiy fro de-brogie s Maer Wae Cone and he Corresondene beween The M.O.G. Taukder,
More informationAverage & instantaneous velocity and acceleration Motion with constant acceleration
Physics 7: Lecure Reminders Discussion nd Lb secions sr meeing ne week Fill ou Pink dd/drop form if you need o swich o differen secion h is FULL. Do i TODAY. Homework Ch. : 5, 7,, 3,, nd 6 Ch.: 6,, 3 Submission
More informationANSWERS TO EVEN NUMBERED EXERCISES IN CHAPTER 2
ANSWERS TO EVEN NUMBERED EXERCISES IN CHAPTER Seion Eerise -: Coninuiy of he uiliy funion Le λ ( ) be he monooni uiliy funion defined in he proof of eisene of uiliy funion If his funion is oninuous y hen
More informationPhysics 2A HW #3 Solutions
Chper 3 Focus on Conceps: 3, 4, 6, 9 Problems: 9, 9, 3, 41, 66, 7, 75, 77 Phsics A HW #3 Soluions Focus On Conceps 3-3 (c) The ccelerion due o grvi is he sme for boh blls, despie he fc h he hve differen
More informationCoefficient Inequalities for Certain Subclasses. of Analytic Functions
I. Jourl o Mh. Alysis, Vol., 00, o. 6, 77-78 Coeiie Iequliies or Ceri Sulsses o Alyi Fuios T. Rm Reddy d * R.. Shrm Deprme o Mhemis, Kkiy Uiversiy Wrgl 506009, Adhr Prdesh, Idi reddyr@yhoo.om, *rshrm_005@yhoo.o.i
More informationPhysics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle
Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,
More informationA LOG IS AN EXPONENT.
Ojeives: n nlze nd inerpre he ehvior of rihmi funions, inluding end ehvior nd smpoes. n solve rihmi equions nlill nd grphill. n grph rihmi funions. n deermine he domin nd rnge of rihmi funions. n deermine
More informationLorentz Transformation Properties of Currents for the Particle-Antiparticle Pair Wave Functions
Open Aess Library Journal 17, Volume 4, e373 ISSN Online: 333-971 ISSN Prin: 333-975 Lorenz Transformaion Properies of Currens for he Parile-Aniparile Pair Wave Funions Raja Roy Deparmen of Eleronis and
More informationContraction Mapping Principle Approach to Differential Equations
epl Journl of Science echnology 0 (009) 49-53 Conrcion pping Principle pproch o Differenil Equions Bishnu P. Dhungn Deprmen of hemics, hendr Rn Cmpus ribhuvn Universiy, Khmu epl bsrc Using n eension of
More informationMocanu Paradox of Different Types of Lorentz Transformations
Page Moanu Parado of Differen Types of Lorenz Transformaions A R aizid and M S Alam * Deparmen of usiness Adminisraion Leading niersiy Sylhe 300 angladesh Deparmen of Physis Shahjalal niersiy of Siene
More informationLIGHT and SPECIAL RELATIVITY
VISUAL PHYSICS ONLINE MODULE 7 NATURE OF LIGHT LIGHT and SPECIAL RELATIVITY LENGTH CONTRACTION RELATIVISTIC ADDITION OF VELOCITIES Time is a relaie quaniy: differen obserers an measuremen differen ime
More information5.1-The Initial-Value Problems For Ordinary Differential Equations
5.-The Iniil-Vlue Problems For Ordinry Differenil Equions Consider solving iniil-vlue problems for ordinry differenil equions: (*) y f, y, b, y. If we know he generl soluion y of he ordinry differenil
More informationMinimum Squared Error
Minimum Squred Error LDF: Minimum Squred-Error Procedures Ide: conver o esier nd eer undersood prolem Percepron y i > for ll smples y i solve sysem of liner inequliies MSE procedure y i = i for ll smples
More informationA 1.3 m 2.5 m 2.8 m. x = m m = 8400 m. y = 4900 m 3200 m = 1700 m
PHYS : Soluions o Chper 3 Home Work. SSM REASONING The displcemen is ecor drwn from he iniil posiion o he finl posiion. The mgniude of he displcemen is he shores disnce beween he posiions. Noe h i is onl
More informationSection 5: Chain Rule
Chaper The Derivaive Applie Calculus 11 Secion 5: Chain Rule There is one more ype of complicae funcion ha we will wan o know how o iffereniae: composiion. The Chain Rule will le us fin he erivaive of
More informationMinimum Squared Error
Minimum Squred Error LDF: Minimum Squred-Error Procedures Ide: conver o esier nd eer undersood prolem Percepron y i > 0 for ll smples y i solve sysem of liner inequliies MSE procedure y i i for ll smples
More informationGeoTrig Notes Conventions and Notation: First Things First - Pythogoras and His Triangle. Conventions and Notation: GeoTrig Notes 04-14
Convenions nd Noion: GeoTrig Noes 04-14 Hello ll, his revision inludes some numeri exmples s well s more rigonomery heory. This se of noes is inended o ompny oher uorils in his series: Inroduion o EDA,
More informationGeneralized Projective Synchronization Using Nonlinear Control Method
ISSN 79-3889 (prin), 79-3897 (online) Inernionl Journl of Nonliner Siene Vol.8(9) No.,pp.79-85 Generlized Projeive Synhronizion Using Nonliner Conrol Mehod Xin Li Deprmen of Mhemis, Chngshu Insiue of Tehnology
More informationConservation of Momentum. The purpose of this experiment is to verify the conservation of momentum in two dimensions.
Conseraion of Moenu Purose The urose of his exerien is o erify he conseraion of oenu in wo diensions. Inroducion and Theory The oenu of a body ( ) is defined as he roduc of is ass () and elociy ( ): When
More informationκt π = (5) T surrface k BASELINE CASE
II. BASELINE CASE PRACICAL CONSIDERAIONS FOR HERMAL SRESSES INDUCED BY SURFACE HEAING James P. Blanhard Universi of Wisonsin Madison 15 Engineering Dr. Madison, WI 5376-169 68-63-391 blanhard@engr.is.edu
More informationReleased Assessment Questions, 2017 QUESTIONS
Relese Assessmen Quesions, 17 QUESTIONS Gre 9 Assessmen of Mhemis Aemi Re he insruions elow. Along wih his ookle, mke sure ou hve he Answer Bookle n he Formul Shee. You m use n spe in his ook for rough
More informationArmenian Theory of Special Relativity (Illustrated) Robert Nazaryan 1 and Haik Nazaryan 2
29606 Robert Nazaryan Haik Nazaryan/ Elixir Nulear & Radiation Phys. 78 (205) 29606-2967 Available online at www.elixirpublishers.om (Elixir International Journal) Nulear Radiation Physis Elixir Nulear
More informationHamilton- J acobi Equation: Weak S olution We continue the study of the Hamilton-Jacobi equation:
M ah 5 7 Fall 9 L ecure O c. 4, 9 ) Hamilon- J acobi Equaion: Weak S oluion We coninue he sudy of he Hamilon-Jacobi equaion: We have shown ha u + H D u) = R n, ) ; u = g R n { = }. ). In general we canno
More informationGlobal alignment in linear space
Globl linmen in liner spe 1 2 Globl linmen in liner spe Gol: Find n opiml linmen of A[1..n] nd B[1..m] in liner spe, i.e. O(n) Exisin lorihm: Globl linmen wih bkrkin O(nm) ime nd spe, bu he opiml os n
More informationdefines eigenvectors and associated eigenvalues whenever there are nonzero solutions ( 0
Chper 7. Inroduion In his hper we ll explore eigeneors nd eigenlues from geomeri perspeies, lern how o use MATLAB o lgerilly idenify hem, nd ulimely see how hese noions re fmously pplied o he digonlizion
More information23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes
Half-Range Series 2.5 Inroducion In his Secion we address he following problem: Can we find a Fourier series expansion of a funcion defined over a finie inerval? Of course we recognise ha such a funcion
More information2D Motion WS. A horizontally launched projectile s initial vertical velocity is zero. Solve the following problems with this information.
Nme D Moion WS The equions of moion h rele o projeciles were discussed in he Projecile Moion Anlsis Acii. ou found h projecile moes wih consn eloci in he horizonl direcion nd consn ccelerion in he ericl
More informationMotion in a Straight Line
Moion in Srigh Line. Preei reched he mero sion nd found h he esclor ws no working. She wlked up he sionry esclor in ime. On oher dys, if she remins sionry on he moing esclor, hen he esclor kes her up in
More information0.1 MAXIMUM LIKELIHOOD ESTIMATION EXPLAINED
0.1 MAXIMUM LIKELIHOOD ESTIMATIO EXPLAIED Maximum likelihood esimaion is a bes-fi saisical mehod for he esimaion of he values of he parameers of a sysem, based on a se of observaions of a random variable
More informationIntroduction to LoggerPro
Inroducion o LoggerPro Sr/Sop collecion Define zero Se d collecion prmeers Auoscle D Browser Open file Sensor seup window To sr d collecion, click he green Collec buon on he ool br. There is dely of second
More informationPhys 221 Fall Chapter 2. Motion in One Dimension. 2014, 2005 A. Dzyubenko Brooks/Cole
Phys 221 Fall 2014 Chaper 2 Moion in One Dimension 2014, 2005 A. Dzyubenko 2004 Brooks/Cole 1 Kinemaics Kinemaics, a par of classical mechanics: Describes moion in erms of space and ime Ignores he agen
More informationChapter 12: Velocity, acceleration, and forces
To Feel a Force Chaper Spring, Chaper : A. Saes of moion For moion on or near he surface of he earh, i is naural o measure moion wih respec o objecs fixed o he earh. The 4 hr. roaion of he earh has a measurable
More informationSecond-Order Boundary Value Problems of Singular Type
JOURNAL OF MATEMATICAL ANALYSIS AND APPLICATIONS 226, 4443 998 ARTICLE NO. AY98688 Seond-Order Boundary Value Probles of Singular Type Ravi P. Agarwal Deparen of Maheais, Naional Uniersiy of Singapore,
More informationPhys 110. Answers to even numbered problems on Midterm Map
Phys Answers o een numbered problems on Miderm Mp. REASONING The word per indices rio, so.35 mm per dy mens.35 mm/d, which is o be epressed s re in f/cenury. These unis differ from he gien unis in boh
More informationMath 2142 Exam 1 Review Problems. x 2 + f (0) 3! for the 3rd Taylor polynomial at x = 0. To calculate the various quantities:
Mah 4 Eam Review Problems Problem. Calculae he 3rd Taylor polynomial for arcsin a =. Soluion. Le f() = arcsin. For his problem, we use he formula f() + f () + f ()! + f () 3! for he 3rd Taylor polynomial
More informationAn object moving with speed v around a point at distance r, has an angular velocity. m/s m
Roion The mosphere roes wih he erh n moions wihin he mosphere clerly follow cure phs (cyclones, nicyclones, hurricnes, ornoes ec.) We nee o epress roion quniiely. For soli objec or ny mss h oes no isor
More informationSTUDY OF THERMAL PROPERTIES OF POROUS MATERIALS
SUY OF HRMAL PROPRIS OF POROUS MARIALS Oldři Zeškl, Pvl Šefková Insiue of Pysil nd Alied Ceisry, Fuly of Ceisry, Brno Universiy of enology, Purkyňov 118, CZ-61 Brno, Cze Reubli il: zeskl@f.vubr.z, sefkov@f.vubr.z
More informationPHYSICS 1210 Exam 1 University of Wyoming 14 February points
PHYSICS 1210 Em 1 Uniersiy of Wyoming 14 Februry 2013 150 poins This es is open-noe nd closed-book. Clculors re permied bu compuers re no. No collborion, consulion, or communicion wih oher people (oher
More informationwhite strictly far ) fnf regular [ with f fcs)8( hs ) as function Preliminary question jointly speaking does not exist! Brownian : APA Lecture 1.
Am : APA Lecure 13 Brownin moion Preliminry quesion : Wh is he equivlen in coninuous ime of sequence of? iid Ncqe rndom vribles ( n nzn noise ( 4 e Re whie ( ie se every fm ( xh o + nd covrince E ( xrxs
More informationChapter 7: Solving Trig Equations
Haberman MTH Secion I: The Trigonomeric Funcions Chaper 7: Solving Trig Equaions Le s sar by solving a couple of equaions ha involve he sine funcion EXAMPLE a: Solve he equaion sin( ) The inverse funcions
More informationNewtonian Relativity
Newonian Relaii A referene frame in whih Newon s laws are alid is alled an inerial frame Newonian priniple of relaii or Galilean inariane If Newon s laws are alid in one referene frame, hen he are also
More informationLet us start with a two dimensional case. We consider a vector ( x,
Roaion marices We consider now roaion marices in wo and hree dimensions. We sar wih wo dimensions since wo dimensions are easier han hree o undersand, and one dimension is a lile oo simple. However, our
More information2.3 The Lorentz Transformation Eq.
Announemen Course webage h://highenergy.hys.u.edu/~slee/4/ Tebook PHYS-4 Leure 4 HW (due 9/3 Chaer, 6, 36, 4, 45, 5, 5, 55, 58 Se. 8, 6.3 The Lorenz Transformaion q. We an use γ o wrie our ransformaions.
More informationA1.1.1 Model for the vertical stress comparison between the FLAC ubiquitous joints model and the theoretical development in Jaeger and Cook (1979)
Universiy of Preori ed Krprov, K (007) Appendix 1. FLAC models nd derivions APPEDIX 1. FLAC MODELS AD DEIATIOS A1.1 Applied models for FLAC ode A1.1.1 Model for he veril sress omprison beween he FLAC ubiquious
More informationDepartment of Mathematics, Vels University, Chennai. Vels University, Chennai.
Volume No. 7 9-7 IN: -88 rined ersion; IN: -9 on-line ersion url: h://.ijm.eu ijm.eu Aliion of ifferenil Equion in biliy Anlysis of eenden Visosiy of hermohline oneion in Ferromgnei Fluid in ensely Ped
More information1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor.
In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd
More informationThe Special Theory of Relativity Chapter II
The Speial Theory of Relaiiy Chaper II 1. Relaiisi Kinemais. Time dilaion and spae rael 3. Lengh onraion 4. Lorenz ransformaions 5. Paradoes? Simulaneiy/Relaiiy If one obserer sees he eens as simulaneous,
More informationMon Apr 9 EP 7.6 Convolutions and Laplace transforms. Announcements: Warm-up Exercise:
Mah 225-4 Week 3 April 9-3 EP 7.6 - convoluions; 6.-6.2 - eigenvalues, eigenvecors and diagonalizabiliy; 7. - sysems of differenial equaions. Mon Apr 9 EP 7.6 Convoluions and Laplace ransforms. Announcemens:
More informationPhysic 231 Lecture 4. Mi it ftd l t. Main points of today s lecture: Example: addition of velocities Trajectories of objects in 2 = =
Mi i fd l Phsic 3 Lecure 4 Min poins of od s lecure: Emple: ddiion of elociies Trjecories of objecs in dimensions: dimensions: g 9.8m/s downwrds ( ) g o g g Emple: A foobll pler runs he pern gien in he
More informationAlgorithms and Data Structures 2011/12 Week 9 Solutions (Tues 15th - Fri 18th Nov)
Algorihm and Daa Srucure 2011/ Week Soluion (Tue 15h - Fri 18h No) 1. Queion: e are gien 11/16 / 15/20 8/13 0/ 1/ / 11/1 / / To queion: (a) Find a pair of ube X, Y V uch ha f(x, Y) = f(v X, Y). (b) Find
More informationTEST - 4 (Paper-I) ANSWERS PHYSICS CHEMISTRY MATHEMATICS
TEST - 4 (Pper-I) NSWERS PHYSICS CHEMISTRY MTHEMTICS. (4). (). () 4. () 5. () 6. (4) 7. () 8. () 9. (). (). (). (). () 4. () 5. () 6. (4) 7. () 8. (4) 9. (). (). (). (). () 4. (4) 5. (4) 6. () 7. () 8.
More informationEquations from The Four Principal Kinetic States of Material Bodies. Copyright 2005 Joseph A. Rybczyk
Equions fom he Fou Pinipl Kinei Ses of Meil Bodies Copyigh 005 Joseph A. Rybzyk Following is omplee lis of ll of he equions used in o deied in he Fou Pinipl Kinei Ses of Meil Bodies. Eh equion is idenified
More informationWe just finished the Erdős-Stone Theorem, and ex(n, F ) (1 1/(χ(F ) 1)) ( n
Lecure 3 - Kövari-Sós-Turán Theorem Jacques Versraëe jacques@ucsd.edu We jus finished he Erdős-Sone Theorem, and ex(n, F ) ( /(χ(f ) )) ( n 2). So we have asympoics when χ(f ) 3 bu no when χ(f ) = 2 i.e.
More informationProperties of Different Types of Lorentz Transformations
merin Journl of Mthemtis nd ttistis 03 3(3: 05-3 DOI: 0593/jjms03030303 roperties of Different Types of Lorentz Trnsformtions tikur Rhmn izid * Md hh lm Deprtment of usiness dministrtion Leding niversity
More informationSolution of Integro-Differential Equations by Using ELzaki Transform
Global Journal of Mahemaical Sciences: Theory and Pracical. Volume, Number (), pp. - Inernaional Research Publicaion House hp://www.irphouse.com Soluion of Inegro-Differenial Equaions by Using ELzaki Transform
More informationf t f a f x dx By Lin McMullin f x dx= f b f a. 2
Accumulion: Thoughs On () By Lin McMullin f f f d = + The gols of he AP* Clculus progrm include he semen, Sudens should undersnd he definie inegrl s he ne ccumulion of chnge. 1 The Topicl Ouline includes
More informationDirect Current Circuits
Eler urren (hrges n Moon) Eler urren () The ne moun of hrge h psses hrough onduor per un me ny pon. urren s defned s: Dre urren rus = dq d Eler urren s mesured n oulom s per seond or mperes. ( = /s) n
More informationDesigning A Fanlike Structure
Designing A Fnlike Sruure To proeed wih his lesson, lik on he Nex buon here or he op of ny pge. When you re done wih his lesson, lik on he Conens buon here or he op of ny pge o reurn o he lis of lessons.
More informationINSTANTANEOUS VELOCITY
INSTANTANEOUS VELOCITY I claim ha ha if acceleraion is consan, hen he elociy is a linear funcion of ime and he posiion a quadraic funcion of ime. We wan o inesigae hose claims, and a he same ime, work
More informationLinear Quadratic Regulator (LQR) - State Feedback Design
Linear Quadrai Regulaor (LQR) - Sae Feedbak Design A sysem is expressed in sae variable form as x = Ax + Bu n m wih x( ) R, u( ) R and he iniial ondiion x() = x A he sabilizaion problem using sae variable
More informationTransformations. Ordered set of numbers: (1,2,3,4) Example: (x,y,z) coordinates of pt in space. Vectors
Trnformion Ordered e of number:,,,4 Emple:,,z coordine of p in pce. Vecor If, n i i, K, n, i uni ecor Vecor ddiion +w, +, +, + V+w w Sclr roduc,, Inner do roduc α w. w +,.,. The inner produc i SCLR!. w,.,
More informationdp dt For the time interval t, approximately, we can write,
PHYSICS OCUS 58 So far we hae deal only wih syses in which he oal ass of he syse, sys, reained consan wih ie. Now, we will consider syses in which ass eners or leaes he syse while we are obsering i. The
More informationChapter 2. First Order Scalar Equations
Chaper. Firs Order Scalar Equaions We sar our sudy of differenial equaions in he same way he pioneers in his field did. We show paricular echniques o solve paricular ypes of firs order differenial equaions.
More informationNotes for Lecture 17-18
U.C. Berkeley CS278: Compuaional Complexiy Handou N7-8 Professor Luca Trevisan April 3-8, 2008 Noes for Lecure 7-8 In hese wo lecures we prove he firs half of he PCP Theorem, he Amplificaion Lemma, up
More information[5] Solving Multiple Linear Equations A system of m linear equations and n unknown variables:
[5] Solving Muliple Liner Equions A syse of liner equions nd n unknown vribles: + + + nn = b + + + = b n n : + + + nn = b n n A= b, where A =, : : : n : : : : n = : n A = = = ( ) where, n j = ( ); = :
More informationExplore 2 Proving the Vertical Angles Theorem
Explore 2 Proving he Verical Angles Theorem The conjecure from he Explore abou verical angles can be proven so i can be saed as a heorem. The Verical Angles Theorem If wo angles are verical angles, hen
More informationSolutions to Problems from Chapter 2
Soluions o Problems rom Chper Problem. The signls u() :5sgn(), u () :5sgn(), nd u h () :5sgn() re ploed respecively in Figures.,b,c. Noe h u h () :5sgn() :5; 8 including, bu u () :5sgn() is undeined..5
More informationMOMENTUM CONSERVATION LAW
1 AAST/AEDT AP PHYSICS B: Impulse and Momenum Le us run an experimen: The ball is moving wih a velociy of V o and a force of F is applied on i for he ime inerval of. As he resul he ball s velociy changes
More informationProblem Set 9 Due December, 7
EE226: Random Proesses in Sysems Leurer: Jean C. Walrand Problem Se 9 Due Deember, 7 Fall 6 GSI: Assane Gueye his problem se essenially reviews Convergene and Renewal proesses. No all exerises are o be
More informationFourier Series & The Fourier Transform. Joseph Fourier, our hero. Lord Kelvin on Fourier s theorem. What do we want from the Fourier Transform?
ourier Series & The ourier Transfor Wha is he ourier Transfor? Wha do we wan fro he ourier Transfor? We desire a easure of he frequencies presen in a wave. This will lead o a definiion of he er, he specru.
More informationCSC 373: Algorithm Design and Analysis Lecture 9
CSC 373: Algorihm Deign n Anlyi Leure 9 Alln Boroin Jnury 28, 2013 1 / 16 Leure 9: Announemen n Ouline Announemen Prolem e 1 ue hi Friy. Term Te 1 will e hel nex Mony, Fe in he uoril. Two nnounemen o follow
More informationExample on p. 157
Example 2.5.3. Le where BV [, 1] = Example 2.5.3. on p. 157 { g : [, 1] C g() =, g() = g( + ) [, 1), var (g) = sup g( j+1 ) g( j ) he supremum is aken over all he pariions of [, 1] (1) : = < 1 < < n =
More informationEnergy Momentum Tensor for Photonic System
018 IJSST Volume 4 Issue 10 Prin ISSN : 395-6011 Online ISSN : 395-60X Themed Seion: Siene and Tehnology Energy Momenum Tensor for Phooni Sysem ampada Misra Ex-Gues-Teaher, Deparmens of Eleronis, Vidyasagar
More information