Bestand wählen
Merken

# Special Relativity | Lecture 1

Embed Code
Video lizenzieren

#### Automatisierte Medienanalyse

Beta
Erkannte Entitäten
Sprachtranskript
Steiger University the
senator says she is equal to V T plus 1 from the 1st equation I just said lexical or he 1 minus V is equal to 1 or even better he is Eagle to 101 miners very price their own or with a time of this point 8 years misses . 8 where about the X Of this point 80 hair would like a full set of coordinates of this point swords box around what she exit point while Yukon either people's 1 and blogger but it could be smarter and you could say Look this line is X equals he over here the Green Line as x equals so along the Green Line X is equal to take show the lurid acts is equal to 1 or more for now let's go toward buying a B next thing to do is to figure out why a B E which will ultimately figure out where it intersects Mexico's we people's totes a few steps a few steps from the fund to do so over from and I don't awestruck cut from their said on show we do this where the line may be every line which is at 45 degrees but pointing downward to the right of 45 degrees but they're going toward upwards of a left is a line that has the property that X plus he is constant along that line every line moving upward to the right with 45 degrees is X minus t is a constant 1 which are 45 degrees but upward to the left all lines X plus peoples constant sort its X plus is equal to something what thing well 1 easy way to find out what was put on the right side here is just to take 1 point on that line and plug in the value of X exports was to use the same all longs for a particular appoint an E X plus happens to be twice one-liners when I was just this blast this X plastered all along the line AB you'd like a B ex post please equal to what all over 1 minors so we have found that 1 ADB we want to find point you so 1 more step and that's step is defined the intersection of lying a B With X Eagles VP plus so we take ex custody was to over 1 minus V and we combine it with X minus V T equals To assist equation over here X minus V T equals 2 we solve the 2 simultaneous equations and that will tell us what the coordinates of Idaho we do that well the 1st step we just solved by subtracting the 2 equations I'll get rid of the X right sorts of track on a lot on the right on the left-hand side we have tea mind this miners VT which means c . times want was rigged that's equal to what 0 1 might misery minus 2 however Track Iowa subtract tool from a fraction so the best thing to do is to promote the same common denominator minus 2 times one-liners V over 1 like this week and multiplied in divided by war OK Hess you look at this carefully you'll see that too was canceled to minors 2 truck to remove here will become plus the whole thing becomes twice v over 1 miners that's equal 50 terms warm 1 more step to calculating it's just a divided by what was so what happens if you divide by 1 plus VAT while you divide their warm was vague on my industry Thames possibly thoroughly steps I hate doing our drummer blackboard both bit I did tell you do it but what 1 might be times when plus 1 Rosie square right so it is right this is warmer and squared 0 1 plus but he was not really I want warned ex ante is sporting so how or foreign to be acts of . be this is T of . be cause TB was happy X of foreign well all I need to do is substitute into this equation is equal TB so would see what it is X it is equal to the tool of either by 1 minus V minus TB right from subtracting key from this equation modest TB and TB 2 movies all over 1 my square looks although 8 it's not trips much these days EU Oliver the bad things happen right arm right off b is plus
X primer 0 when Everex equals VT tells us he Prime is equal to 0 equals VX another words it's just reflex this relationship that 50 primer 0 when this is show an X plan equal to 0 1 OK now we use some physics we use a physics arms Burns said that the speed of light is the phrase in both reference frames or the the speed of light as 1 In the stationary reference frame so must also be 1 in moving reference what that's theirs Is that would ever X equals CDU X equals he is along the Green Line it must also be true that X prime equals deep prime every have a light library and light rain woes with velocity won the silver right back to the 1st thing that we demonstrated that when we took a library that went like X equals C C C and then we transformed from 1 friend to another level we got the 1st time around we got C V C plus VAT at that do the same thing now say supposing the light satisfies x equals then it must also be true that extra Nichols to prime how could we arrange that about such easy let's suppose x equals t then curve we can write this as X friends what exports why would that to do make physical possess swarm Exs recalled 3 equaled the TV store will be the same Vista will be the same so what's in the bracket he'll be the same as Woods in the bracket he works as a quantity of everyone x timetable PrePrint is only 1 choice that's the Macbeth equal to g that's the only way that must be the same as
G if as is not the same as G most of the light in moving coordinates will not be be with velocity 1 cell we come to the conclusion Einstein's ruled tells us that whatever the connection between these coordinates is involves the same function here what what more do we know what more we want to know we want to know what dysfunctional visas or do they like what is once we know it we know completely havoc coordinates reference frames are related to each other so we use 1 more ingredient mentally I'm practically regurgitate in Einstein's 1st paper on the subject if I haven't read it for probably 50 years but it has left obviously of vary West Inc impression on me our wrist is basically what what he did in the 1st paper Robison a lot more OK so now said when their poster say which frame was moving poster said never mind frame is moving relative to you with velocity V or you frame is moving relative to me with velocity whatever the relationship between the 2 frames of reference are they should be symmetrical we could take the entire argument and instead of starting with the X T and drawing an explanatory prime we could do exactly the opposite the only difference would be that as far as I'm concerned your moving with velocity minus V as far as you are concerned I'm moving with velocity plus so we can immediately write down what the relationship between exit In terms of acts Parliament keeper here it already bound for you over here it must be X is equal 2 x prime now so I whatsoever I miners VT prime plus prime white because of all our city the relative velocity has the opposite side the function of the same magnitude of velocity magnitudes of velocity of fun movie wrote of you of velocity v still moving wrote me with velocity might be let's assume this function is just a function of the magnitude of the last of which is the correct answer the end and she is equal to is it prime plus VAT that followed the same function are these 2 equations of the 2 sets of equations compatible with each other after all I didn't really need to get the relations between now Exon T over here I could just a solve this equation for X these 2 equations for X and so I want to make sure that this equation In this equation are compatible with each other I'm going to do it in a fancy way and we know of course that will determine what efforts the compatibility his or you would do it is only he'll have X prime and Prime in terms of ex ante now supposing it take the ex- prime prime from here and plant them in over here what you get you get acts in terms of exon T and T in terms of I cannot make any sense to Kigali makes sense of what you get is Exs equaled X and musical that's going to involve choosing as carefully OK but I will show you there's more than 1 way to do that arms maker just do it by plugging in Yelets do by brute force was restored by brute force at a fancy way to do it OK but still X is equal to 0 X which is what so really after me x Missouri City but times SOV that's a sky here and plus VAT climb steep Prime which is T minus V X also plans effort very well times FMV right all kinds Acevedo so that was square here right now as I told you the only way this can make sense is if it just read X is equal to acts the only way to to make sense of I did the same think the T I would do the same thing for year plugging in a primer next time said did just like that being he is equal to teach but let's look at what is it they got Setzer combined things X column X Times Square over here X times of squirrelly here and that we have plus V squared X Times f squared up from here and there were about the T dependents minus but mobile portend is the key dependents the team dependence is mind is VT here minus V T Kansas squared and here we have V T kind of squares is minus Kansas square this is Class V good sign that these cancel automatically do we done something right research teams cancel automatically leaving only the axes and the exodus of X of squared minus V squared square X another words X kinds one-liners V squared times escalated and that but there has to be equal tax cut will arrange that well arrange that just by choosing where square squared to be 1 in other words it tells us work that has to be and it tells us that has to be I 1 divided by the square root of 1 one-liners square
cancel out IPX 1 physical toll one-liners these quick I'm just squared half his equal 1 divided by the square root that's it that's it will let us get but probably has summoned to change a term of plus velocity my philosophy was a bomb are so it would be like this some Isaacson version of course so something probably an inversion of coordinates Illinois never thought about it yard that's that probably corresponds to the possibility of reflecting the coordinates x Costa minus checks could question that much or be answers artists with it for the moment got to routes a much OK so now I have a hand ball minority answers square root of 1 might be squared the square root of 1 might be scored right now they would be answered is 1st of all of which route you pick plus or minus should not depend on the velocity argues shouldn't be some point in velocity which is suddenly jumped from 1 route to the other route that would be a very discontinuous thing to do was a function of the velocity I know well watered down from velocity V equals 0 so gleeful velocity V equals 0 in other words when the 2 frames are not moving relative to each other we wanted to friends to be the same that that X prime equals X. not ex prime equals minus sex to roots here we correspond 2 possibilities X prime equals X X prime equals minus 6 surely when the frames of reference arrest relative to each other we want a solution to just be X Prize Nichols ex ante prime equals t so that says pick positive plus scram warmers square OK let we right more completely there again the usual amassed only recognize this 3 prime is equal to T minus V acts all the square root of one-liners square notice they have the same form except XMT interchange next prime X Myers T P Brian this team is VX old abided by squirrel former industry squares these are of course the Lorentz transformation is a Lorentz transformations and they've been cooked up to make sure that in every frame of reference the speed of light is 1 when a the speed of light is not been chosen to be equal to 1 1 if it's just see with whatever you choose it however you choose you units then the figure out what's going on here all you have do say well if I'm going to use other units I must have these equations be dimensionally consistent I must have these equations now will velocity is a over a time wealth an X is allowing a time as a time this is a length over at times so the new rate here the 2 terms are consistent with each other that's fine no problem but what about the square root of 1 might be squared the units of 1 hours is 1 of the dimensionless the units velocity or leaned over it time so that that does not have units 1 so the velocity squared he must not really be velocity squared the only way to make it dimensionally consistent is to make his be squared overseas squared another words How we kept the speed of light in every wears squared really would have meant the velocity being units of the speed of light by setting the speed of light equal to 1 equivalently we said velocities a measured in units of the speed of light vehicles a half would mean half the the speed of light so the only way to restore the dimensions and get dimensions right in in this equation is review CV squared Privy square oversee square now this equation is not quite right what's wrong with this equation the left-hand side is kind the denominator was OK the right hand side starts for that time NYTimes exit time we need to the squared Be as a link per unit time over multiply that by violate goalie times a linked over prime that doesn't sound right so we must be V a simple away the savers among these although she square yeah the overseas square the oversee scored as the only way to restore the units and now this is the recognizable rents transformation notice that as long as the velocity is very small compared with the speed of light so that these squared overseas queries even smaller if these attend the speed of light be square overseas Queiroz 1 100 V overseas is a of miners for a 10th of a minus 5 square overseas quit is truly a small number and the square Otis becomes 1 where we get we get X primacy Quebec's mines VT that's the good old look version of things what about the 2nd equation here if the veal overseas is very small growers let's not plug-ins some numbers supposing these a 100 miles an hour but soon make it because Baker a hundred miles a 2nd CD was a 186 thousand miles a 2nd C squared is mostly big so veal overseas Square is a very very tiring number so this term here if the velocity on the reference frames was relatively slow this is negligible 1st also 1 might be square overseas square this is negligible therefore the rulers he prime equals t reference frames moving slowly relative to each other it's just the gold Newtonian type formula this goes away this goes away VOC
basic idea that every clock participates in this thing exactly the same way and in particular the clock that has to do with biological aging also slows down but this is just a statement that firm whatever we said he replies to every kind of Clark not to of Rolex the Air Force said Wednesday at a mail last season offers guests is now than interest and we're yes that's right that's exactly right no it's not it's not right but I mean it's exactly something that you might be puzzled by a hug so now let's talk about exactly that with stock remember exactly the issue of the hypotenuse shorter or war longer than me the sides of year the way it goes away back less I passed for but wrote this we will not remember these 2 frames and not symmetrical with respect to each other 1 of them underwent an acceleration really not symmetrical rivers the twins will get send that sent back that he was the 1 who got a move went on curved trajectory because experience an acceleration was not that twin was not in the inertial frame that cod which you will think of it that way you could just calculated or you can think of it as the cause of the acceleration feel like it's a legitimate way to think about but it In mathematics is pretty similar a similar to the statement that if you take 2 points in the plane when there just 2 points in the plane did you connect them by a straight line you connect them by biker don't be surprised at along the straight lines not the same as the link along the curve by the kernel is in fact the lake along the curve is of course longer than the along the line in the relativity case we actually found that the time along the curve was a little bit less than time along he something going on that's different than ordinary links bath that's a similar phenomenon that that the lake along the curve is not the same as going along the straight line straight lines law shortest distance between 2 points well the 2nd relativity erased diet the IRA's Leon as was mentioned the time along the hypotenuse it is less than the time longer the vertical axis so something funny going on and there was talk about that funny thing that's going on in the let's say let's just think about Euclidean geometry for minute thing about a plane let's think about different coordinate systems on the plane coordinate system just related to each other by rotation that was the origin of coordinates the a scoreless Exon Y this is now ex prime why Prime This is not a moving reference frame now this is just the rotation of coordinates and I'm using it to make a point but on let's take up point somewhere in the space of a year as the point x the 2 or referenced but the McCollum reference frames a really mean court systems the took systems do not ascribed the same values X and Y to this point obviously the X Hawaii Of this point here are not the same as the ex- prime and the white pride in their elated to each other if you know X and Y and you know the angle between the coordinates you could figure out X private why Prime but did not the same but it is some something things but is the the same no matter how you calculated it with EU calculated in the prime coordinates only on prime coordinates and you visits what the distance from the origin everybody will agree on the distance from the origin and factor also agree about the square of the distance from the origin so what is a square of the distance from the origin from the point of view of the aren't on prime coordinates while it's just Pythagoras is theorem it's just X squared plus Y squared as the square of the distance where about from the point of view of the friends another words the quantity x squared for plus Y squared for a point here is in invariant invariant means that it doesn't depend on which coordinate system you work out its invariant under
changes of coordinates which in this case it is rotations of accord solely say then that X Web plus Y squared is invariant quantity and to saying the matter what frame around measured in question is a analogous quantity associated with the Lawrence transformations here which is an area in particular he is something we my guess what's try it out try out and see if something similar going on and he expects his please use 1st the point is characterized by TO next but also characterized by deep prime and X Prize and as a team next authority Prime and next prime has coordinates neon moving frame and the moving frame what is the relationship between them middle rents transformation but we might guess we might get is is something similar that's invariant let's make a guess that its key prime squared plus X prime squared equals T-square corn that's try out see flow we know in terms of ex ante we know privately prime would work out with David Strom OK so people of Saudi prime squared just take this equation over here a prime square Harris there's t squared it has plus 3 square X cornered and has minus 2 0 v TX the lighted by by 1 might be squared right Estee prime squared What about X prime squared that has X squared plus squared he squared minus tool v FedEx right question does this sequel fee square parsec squared L it was not that a particular 1 thing you could see and immediately is that X Teeter year Eds still EXT term here they don't canceled there's no XT here they can't be the same in general and they are not the same as simply not the same but now you look carefully at it you might notice that if we subtract them this V T X terms do canceled OK let's see what else happened so let's try subtracting Mrs. keep prime squared mightiest X Prize square and what's not prejudice but what's on the right-hand side he would find out what's on the right he prime squared minus X prime squared users different right it contains the movie cross via disappears they cancel because of the minus sign and how that X squared with 2 x squared has x squared hairs squared minus 1 squared minus 1 and then this past T squared and he squared has one-liners V squad 1 now my years squared although abided by 1 minus be square or might be squares canceled and you just get he squared minus X squared Rice's minors Miners plus OK so it discovered something we discovered that an invariant quantity under any Lawrence transformation the combination keep prime squared minus 6 prime squared is the same as he squared minus X squared it's almost like Pythagorean theorem that there a kind of notion of distance from the origin here which is composed Out of the base of the triangle namely X and the height of the triangle that stays the same if you do Arens transformation Ruiz a few other coordinates other coordinates can calculate X prime anti-crime you find out that the combination he squared minus X squares invariant because they the BX women's T-square incidentally women's consequently square quit picky picky choice and this is an important thing tho not very important to know what the invariants are weak components of the vector of a component of the displacement are not invariant they depend on which coordinate system using things which are invariant things which all observers agree upon are in this case we are given a name in a moment of quality on the space-time distant space time distance which is defying with this funny minus sign is invariant all observers must be important quantity OK let's Celia figure out what it what it really means in particular let's suppose that between here and here that we happen to be talking about the motion Nova was that's assume works with the stick a special case let's take the 2 points To be along the the motions of removing observer OK then normally observer what is steep prime squared minus X prime square well X at this point is just plain 0 this is point DEC's prime equal 0 along he so it is just keep prime square factory can write immediately that keep prime squared must equal squared minus X squared why would say that this point over here is point Prime and X Prize but such practical Zero so it's distance From the origin keep squamous expert just Twinkie squatted on the other hand be classed as quantity is invariant it must also be square where sex caught on it was quantitative Brian it's the reading of a moving Clark Clark will along here which starts at a price equal 0 over here will read prime over here that's what is the more it's reading of a clock that has moved on a straight line between 1 . 2 of a point that's how many units of time have occurred In the frame in moving well in the frame the connects these 2 points is called proper time it's called a proper time in everybody will agree on what the proper foreigners along trajectory they were calculated the
same way they will take the took points and calculate the squalor of the difference of the time interval between the 2 point and the space in the wall between the 2 points in any frame would have a picture frame and you calculate he squared minus X squared for the sporting and that tells you how much time involved between the clock reading over here and the clock reading over here called the proper time of that clock but you could also just think of it as a measure of distance along a line connecting 2 points it's not a measure of ordinary distance to measure of space-time called the proper times it's his mind is assigned here which gives the triangles the peculiar property that the hypotenuse is shorter than the height of the triangle itself why is that the minus sign makes smaller next more I put it In many other ways this function as the notion of a distant space time between 2 . 0 3 questions about young of us there Oh yes both of us federations we use stepped up up up up through the angles slowed down and that for that but this is a major dailies that lot on our rare but we never used any notion of links in the sweetest used court we you never really get that's right you can't you can't use ordinary notions of Euclid geometry space but still we were very careful and simply defined coordinates in terms of how clerks would be held and we do rollover the invariant the wrong invariant and that's it that's the American right so relativistic space time is current like would you clean space time but with a funny difference that you take the difference between them he squares elect squares and that's the thing which everybody will agree on a new could think of was cut right now there's 1 funny property of it what about the pouring let's take foreign goods go back this here let's take 1 appointed the origin critters and let's take some other pouring just use ex ante let's just use text team X until another point that ex ante is possible that the distance between these 2 points in these at different points as swans of the origin this will not be origin is it possible that this notion of distance just gives Zero distance between them even tho they are not the same point in a 1 0 Euclidean geometry if the distance between 2 points 0 0 the points are the same place that was not and this crazy kind of geometry with a minus sign supposing the distance from the point of origin 0 doesn't mean that means that X squared minus T squares equals right x squared is quick can be equals 0 without being 0 that X squared plus Y squared equals 0 0 implies that both X Y 0 0 thank you x squared is positive why squared a positive 0 0 why squares positive 0 0 if some of these 0 it means either 1 of them both of them have to be 0 that's where my squares equals 0 to saying such things would say this says E. The X is equal to T or X is equal to minus 1 or the other physical or was sexy host team means or like ready it means that all like could go from this point that point they connected by a possible like trajectory saying for the other 1 of Mexico's my industry would be over here again lyrate angle from 1 to the other if so 1 of the fact fears that if the distance between 2 points is 0 it doesn't mean the 2 points from standpoint it means that white break connect them still nevertheless it doesn't mean that the proper time between the 2 of them 0 another other words if a light beam could carry a clerk with it would be Zero ticks over Clark between here and he Clark said more with the speed of light simply don't take stake they don't take young will walk a young military pressure on that that depends on whether 2 points right here at 2 points which could not be the end of a moving object of a clock y because the velocity and where to go from here he would have to be greater than speed of light who is still nothing vessel was speed light then this can correct these 2 ports it that's the conditions Our basically that X is bigger than here Exs lessons effects is less than light breaking from 1 point to another sex vigor if we're talking about 2 points In this type of configuration called in award for it call the relations between those 2 points space like space like means that the space component is bigger than the time compartment or better yet that X squared plus t-scope school nights when minus squared is greater than 0 places up here so that a trajectory can connect those 2 things he squared minus X squared is greater than 0 this is called space like this distance and this was called Prime right arm if the to appoint a space like connected then you would call this quantity X square my squared you would call the proper distance between him if I'm like separated the new recalls he squared minus excluded the proper time so you could think of it also has the finding the proper distance but only they have 4 the key component is larger right were closed 30 and there's only 1 4 to bury um I was going to talk about some relativity paradoxes but Perpich we're tires 8 from Glausier thing award mention I forgot where questions yes there is a lot like the disease or yes absolutely so so where
please visit us at stanford . EDU
Gesteinsabbau
Drehen
Bombe
Summer
Kraftfahrzeughandwerk
Mechanik
Closed Loop Identification
Mechanikerin
Leisten
Armbanduhr
Satz <Drucktechnik>
Steckkarte
Nanometerbereich
Computeranimation
Teilchen
Druckbehälter
Spezifisches Gewicht
Gliedermaßstab
Bildfrequenz
Kristallgitter
Fahrgeschwindigkeit
Passfeder
Vorlesung/Konferenz
Bahnelement
Eisenkern
Kaltumformen
Front <Meteorologie>
Mark <Maßeinheit>
Waffentechnik
Licht
Eisenbahnbetrieb
Nutzfahrzeug
Hydraulikleitung
Tag
Druckkraft
Panzerung
Schwarzes Loch
Elektromagnetische Welle
Ersatzteil
Walken <Textilveredelung>
Messung
Fahrzeugsitz
Mechanikerin
Lichtgeschwindigkeit
Fehlprägung
SEED
Energieniveau
Satz <Drucktechnik>
Minute
Leitungstheorie
Bildfrequenz
Kette <Zugmittel>
Fahrgeschwindigkeit
Passfeder
Vorlesung/Konferenz
Trägheit
Comte AC-4 Gentleman
Kühlturm
Kaltumformen
Personenzuglokomotive
Längenmessung
Licht
Standardzelle
Weiß
Knüppel <Halbzeug>
Jahr
Schleppen
Lineal
Registrierkasse
Ruderboot
Mechanik
Bergmann
Armbanduhr
Nanometerbereich
Zeitmesser
Steckkarte
Feldeffekttransistor
Teilchen
Gliedermaßstab
Kopfstütze
Buick Century
Rundstahlkette
Störlichtbogen
Zugangsnetz
Gauß-Bündel
Rauschzahl
Druckkraft
Trajektorie <Meteorologie>
Band <Textilien>
Steckdose
Schiffsklassifikation
Gleichstrom
Großtransformator
Greiffinger
Messung
Elektrisches Signal
Kraftfahrzeugexport
Bergmann
Lichtgeschwindigkeit
Armbanduhr
Satz <Drucktechnik>
Leitungstheorie
Woche
Bildfrequenz
Fuß <Maßeinheit>
Passfeder
Fahrgeschwindigkeit
Starkregen
Klangeffekt
Array
Kaltumformen
Personenzuglokomotive
Waffentechnik
Front <Meteorologie>
Licht
Längenmessung
Tag
Standardzelle
Proof <Graphische Technik>
Rauschzahl
Gleiskette
Trajektorie <Meteorologie>
Steckdose
Werkzeug
Nassdampfturbine
Weiß
Lastkraftwagen
Bestrahlungsstärke
Jahr
Ersatzteil
Frachtschiff
Schreibware
Greiffinger
Magnetisches Dipolmoment
Intervall
Parallelschaltung
Lichtgeschwindigkeit
Wetter
Fahrzeug
Energieniveau
Antiteilchen
Zeitmesser
Leistungssteuerung
Leitungstheorie
Woche
Bildfrequenz
Spiel <Technik>
Biegen
Quecksilberschalter
Fahrgeschwindigkeit
Brechzahl
Starkregen
Kaltumformen
Stutzuhr
Kraft-Wärme-Kopplung
Behälter
Waffentechnik
Licht
Eisenbahnbetrieb
Standardzelle
Proof <Graphische Technik>
Elektronische Medien
Reflexionskoeffizient
Grundierung <Technik>
Scheinbare Helligkeit
Ersatzteil
Astronomisches Fenster
Versilberung
Anstellwinkel
Unterwasserfahrzeug
Gesteinsabbau
Bombe
Magnetisches Dipolmoment
Kugelblitz
Bergmann
Fahrzeug
Lichtgeschwindigkeit
Satz <Drucktechnik>
Zelle <Mikroelektronik>
Bildfrequenz
Fahrgeschwindigkeit
Edelsteinschliff
Vorlesung/Konferenz
A-20
Rundstahlkette
Steckverbinder
Stunde
Kaltumformen
Waffentechnik
Licht
Inversionsschicht
Rauschzahl
Elektromagnetische Verträglichkeit
Rootsgebläse
Band <Textilien>
Druckkraft
Schiffsklassifikation
Weiß
Ziegelherstellung
Grundierung <Technik>
Himmel
Großtransformator
Bestrahlungsstärke
Newtonsche Flüssigkeit
Scheinbare Helligkeit
Jahr
Lineal
Papier
Toleranzanalyse
Messung
Intervall
Lichtgeschwindigkeit
Besprechung/Interview
Erdefunkstelle
Regelstab
Energieniveau
Hobel
Armbanduhr
Dreidimensionale Integration
Zeitmesser
Nanometerbereich
Feldeffekttransistor
Abformung
Leitungstheorie
Teilchen
Schlauchkupplung
Digitalschaltung
Zelle <Mikroelektronik>
Gliedermaßstab
Bildfrequenz
Gasturbine
Kopfstütze
Passfeder
Vorlesung/Konferenz
Kontraktion
Rundstahlkette
Eisenkern
Waffentechnik
Elektronisches Bauelement
Längenmessung
Tag
Rauschzahl
Rootsgebläse
Übungsmunition
Werkzeug
Angeregtes Atom
Kurzschlussstrom
Motor
Satzspiegel
Gleichstrom
Großtransformator
Zylinderkopf
Jahr
Stückliste
Supernova
Leistungsanpassung
Schaft <Waffe>
Bikristall
Bombe
Magnetisches Dipolmoment
Intervall
Kraftfahrzeugexport
Erdefunkstelle
Leisten
Hobel
Armbanduhr
Zeitmesser
Minute
Leitungstheorie
Rotationszustand
Bildfrequenz
Fahrgeschwindigkeit
Vorlesung/Konferenz
Rundstahlkette
Kaltumformen
Kraft-Wärme-Kopplung
Längenmessung
Gruppenlaufzeit
Rootsgebläse
Trajektorie <Meteorologie>
Übungsmunition
Großtransformator
Jahreszeit
Jahr
Ringgeflecht
Mittwoch
Anstellwinkel
Drosselklappe
Unterwasserfahrzeug
Messung
Magnetisches Dipolmoment
Intervall
Bergmann
Lichtgeschwindigkeit
A6M Zero-Sen
Auslenkung
Bildqualität
Nacht
Satz <Drucktechnik>
Zeitmesser
Förderleistung
Leitungstheorie
Rotationszustand
Bildfrequenz
Fahrgeschwindigkeit
Vorlesung/Konferenz
Wasserfahrzeug
Elektronenbeugung
Rundstahlkette
Klangeffekt
Abwrackwerft
Array
Sommerreifen
Kaltumformen
Waffentechnik
Licht
Elektronisches Bauelement
Längenmessung
Kombinationskraftwerk
Gauß-Bündel
Rauschzahl
Elektronenschale
Raumfahrtzentrum
Übungsmunition
Trajektorie <Meteorologie>
Werkzeug
Glimmlampe
Großtransformator
Druckfeld
Jahr
Supernova
Anstellwinkel
Ruderboot
Bergmann
Lichtgeschwindigkeit
Hobel
Satz <Drucktechnik>
Leistungssteuerung
MAC
Teilchen
Rotationszustand
Digitalschaltung
Deck
Bildfrequenz
Ozonschicht
Kristallgitter
Fahrgeschwindigkeit
Vorlesung/Konferenz
Starkregen
Kontraktion
Klangeffekt
Tagesanbruch
Kaltumformen
Waffentechnik
Längenmessung
Standardzelle
Übertragungsverhalten
Rootsgebläse
Videotechnik
Weiß
Großtransformator
Druckfeld
Zylinderkopf
Jahr
Anstellwinkel