Breakthrough Junior Challenge 2017 | Relativity & The Equivalence of Reference Frames

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  • Опубликовано: 5 окт 2024
  • The core concept of relativity is interesting in that it shatters the singularity in perspective that we have become accustomed to. Watch the video to learn more!
    This is my entry to the Breakthrough Junior Challenge 2017. #breakthroughjuniorchallenge
    Please leave a like if you liked the video and don't hesitate to leave some comments if you want to ask or say something! Thank you so much!
    Hillary, Philippines
    ---------------
    [THE BUMPER STICKER JOKE]
    I hate to explain this joke but if you didn't get it yet, the bumper sticker is a joke about the Doppler Effect on light. ;)
    If you drive too fast (at close to the speed of light) towards the pickup truck's bumper, the light waves of the sticker will get bunched up from your reference frame, therefore making it look blue for you. This is explained from 1:29 onward.
    ---------------
    [HOW I MADE THE VIDEO]
    The process never formally started because I've been passively looking for topics since last year. Summer was the time I actually started building the script. After a lot of tentative topics and drafts, I finally managed to fit it into 3 minutes!
    Then I had to shoot the video (~5 hours), edit the footage (~17 hours) and animate (~120 hours). I used Adobe Premiere Pro CC 2017 for editing and Adobe After Effects CC 2017 for the animations and compositing. This thing definitely tested my patience.
    Read the details of my Breakthrough Junior Challenge 2017 journey in my blog - www.hillaron.com
    ---------------
    [MUSIC]
    Quirky by FalconshieldMusic
    The Science by AlexanderRufire
    [IMAGES/FOOTAGES]
    All image/footage files used are slightly modified to better fit the purpose of this video.
    Pickup truck by BSGStudio
    all-free-downlo...
    Sun by RYO Nikkeiz
    • Full Sun Green Screen【...
    Relativistic Doppler Effect by en:TxAlien (CC BY-SA 3.0)
    commons.wikime...
    EM Spectrum by Inductiveload (CC BY-SA 3.0)
    commons.wikime...
    Participants Running For Race Event At The Olympics (Public Domain)
    www.pond5.com/...
    Judge's Head by Joshua Earle
    unsplash.com/p...
    Albert Einstein (Public Domain)
    commons.wikime...
    [SOFTWARE]
    Sonic Visualiser by Chris Cannam and Queen Mary, University of London
    [REFERENCES]
    Credit most of all goes to Albert Einstein for discovering the Theory of Special Relativity.
    Credit also goes Galileo, Hendrik Lorentz, Henri Poincare, Michelson, Morley, Leibniz, Ernst Mach for their works related to Relativity.
    Special Credit to these RUclips Videos for inspiring me:
    • Einstein's Theory Of R...
    Einstein's Theory Of Relativity Made Easy | ScienceTV
    • Albert Einstein's Theo...
    Albert Einstein's Theory of Relativity | Physics Videos by Eugene Khutoryansky
    • Why is time slower in ...
    Why is time slower in rockets? | Sixty Symbols
    • Relativity's key conce...
    Relativity's key concept: Lorentz gamma | Fermilab
    • Time and Relativity
    Time and Relativity | Charles Steele
    • Is Time Travel Possibl...
    Is Time Travel Possible? - The Science of Doctor Who - Doctor Who
    Brian Cox & JIm Al Khalili | BBC
    • Video
    Relativity and Time Dilation | PoETheeds
    • Relativity Made Easy: ...
    Relativity Made Easy: How To Calculate Time Dilation | Jon Bowman
    • Time Dilation - Sixty ...
    Time Dilation - Sixty Symbols
    • The Doppler Effect: wh...
    The Doppler Effect: what does motion do to waves? | Alt Shift X
    • Alternate Realities fr...
    Alternate Realities from Relativity | Jason Padgett
    • Application Of Doppler...
    Application of Doppler Effect | Tutor Vista
    • Doppler Effect In Ligh...
    Doppler Effect in Light Waves | 7activestudio
    • Red Shift and Doppler ...
    Red Shift and Doppler Effect | Matt Hall
    • Doppler Effect and Its...
    Doppler Effect and Its Application | Iken Edu
    Book:
    Fundamentals of Physics (10th ed.) by Halliday, Resnick, & Walker
    ---------------

Комментарии • 1 тыс.

  • @HillaryDianeAndales
    @HillaryDianeAndales  6 лет назад +392

    Hi everyone! It's heartwarming seeing all your wonderful comments! For those looking to join the 2018 Breakthrough Junior Challenge, I wish you all good luck. Tip: Find a good topic and put your creative spin on it! Also, read the rules and information in the contest website.
    Since many people ask, I used Adobe Premiere Pro, After Effects, and much of my patience (+ a bit of sanity). Please read the description for more info.
    For a step-by-step journey on how I made my entry, go to my blog at hillaron.com/behind-the-scenes-breakthrough-junior-challenge-2017/
    Good luck! Excited to this year's entries!

    • @omar4104
      @omar4104 6 лет назад +3

      Hillary Diane Andales was aftereffects and premiere laggy with that kind of editing? And then is there any channel u recommend for aftereffects 2d animation tutorials?

    • @awildymarcappeared6134
      @awildymarcappeared6134 6 лет назад +1

      Thanks for inspiring! I plan on joining this year (though I still don't have a topic)

    • @iamkrishnajha
      @iamkrishnajha 6 лет назад

      Hillary Diane Andales

    • @sunilchaudhary245
      @sunilchaudhary245 6 лет назад

      ruclips.net/video/p-dGrfudDFs/видео.html

    • @babylegolas8036
      @babylegolas8036 6 лет назад

      hey girl..just like to ask about what software did you use to edit and create this animation..????

  • @JALNIN66
    @JALNIN66 2 года назад +38

    True genius is not just memorizing a bunch of complicated concepts and being able to talk over most people's heads. It's being able to explain it in simple terms and apply it to practical applications. Well done! It's people like you that give me hope for the future.

    • @jbangz2023
      @jbangz2023 Год назад +1

      It's not genius, it's just understanding and explaining what has been discovered by others.

  • @thehippo_
    @thehippo_ 5 лет назад +142

    Theory of Relativity / Reference frames = observing in other reference frame
    Empathy = putting yourself in others shoe

    • @davidmajor1508
      @davidmajor1508 4 года назад +2

      Wrong. That is not what the Theory Relativity is about. The Theory Relativity is about the invariance of the speed of light regardless of the observer.

    • @thehippo_
      @thehippo_ 4 года назад +2

      David Major You are correct but wrong. We have different thoughts, so the way you think is different from mine.

    • @davidmajor1508
      @davidmajor1508 4 года назад +1

      THE HIPPO
      No, I am correct and correct and you are wrong and wrong.

    • @Cheri174evr
      @Cheri174evr 2 года назад +4

      The Hippo is simply applying the Theory of Relativity to the science of Psychology, David. It's called "creative application". A real sign of intelligence.

    • @thehippo_
      @thehippo_ 2 года назад +2

      @@Cheri174evr I LOVE YOU cos you tried to fully understand my comment. 😘 😘 😘

  • @sirjameslpt
    @sirjameslpt 5 лет назад +117

    Sino nandito dahil napanood s'ya sa TV Patrol? Haha btw congrats 💕

    • @nancydotimas1399
      @nancydotimas1399 5 лет назад +2

      @Patrick Miguel M. Andrade eh

    • @nancydotimas1399
      @nancydotimas1399 5 лет назад

      @Patrick Miguel M. Andrade ah ok

    • @Dazzle97
      @Dazzle97 5 лет назад

      @Patrick Miguel M. Andrade Oo, center of excellence sila when it comes to techs. Like IT etc. Kaya ang mkapag aral dun ay pangarap lng sa iilan tulad ko haha

  • @gbarrett123
    @gbarrett123 5 лет назад +49

    Congratulations on getting accepted to the MIT class of 2023. My son will be your batchmate. Great video.

  • @Michael_Lederman
    @Michael_Lederman 6 лет назад +42

    This is an amazingly simplistic way to teach people who don't understand relativity the concept of relativity and I commend you for boiling it down in such a lovely way.

  • @JoshuaPenaranda
    @JoshuaPenaranda 5 лет назад +49

    I know i am a bit late to the party but I would just like to commend the motion graphics behind it all. The animations were smooth and I got a Vox vibe watching the video. Congratulations on the achievement; keep crushing it!

    • @baconator6374
      @baconator6374 5 лет назад

      Yun din napansin ko. Pang vox yung animation. Galing :)

  • @baxbura6415
    @baxbura6415 7 лет назад +172

    It is very nice to see that you are doing the experiments yourself.
    You are the first one I saw doing the Frequency vs. Time Spectrogram of the Doppler Effect.
    Good luck..

  • @profjaecalanog
    @profjaecalanog 4 года назад +9

    Hillary, as a Filipino physics professor in the U.S., this video brought me so much joy to watch. There's not very many Filipinos studying and teaching physics here in the U.S., so watching you explain such complex concepts in a simple way but with beautiful visualizations (that you edited yourself!) was so inspiring.

  • @JoshuaJadeMcCoskrie
    @JoshuaJadeMcCoskrie 6 лет назад +52

    I love how this video starts with such a simple example and slowly explores more complex concepts. All while still having easy to understand explanations and animations to help as well. I'll be showing this to my daughter, thank you!

    • @sfebxd
      @sfebxd 6 лет назад +2

      Please dont, there are few big mistakes in her explanation. Dont ruin yo daugther's interest in science.

    • @anglebee01
      @anglebee01 6 лет назад +12

      Үрэл Инс The Breakthrough Foundation checks the technical accuracy of the videos of all the finalists.
      In their website, breakthroughjuniorchallenge.org, they indicate that they send the videos to top scientists for checking of technical accuracy.
      This panel includes such luminaries as Jay Wacker, theoretical physicist who works at CERN and Quora ; Nima Arkani Hamed, PhD in Theoretical Physics and one of the top living physicists. Works at the Institude of Advanced Study;Terence Tao, Fields Medalist and one of the world's top living mathematicians plus many many more PhD's.
      I do not think that a video which is technically inaccurate can pass through this gauntlet. Now if they say that the video is technically okey and you say it is wrong then you are saying that you are better than this professional physicists.
      So can you tell us your physics credentials please?

    • @JoshuaJadeMcCoskrie
      @JoshuaJadeMcCoskrie 6 лет назад

      Үрэл Инс She won't, but "yo" might wanna develop an interest in writing like a mature adult.

    • @sfebxd
      @sfebxd 6 лет назад +1

      Thank you for your concern, sir.

    • @davidmajor1508
      @davidmajor1508 4 года назад +2

      anglebee01
      Yes, the video is indeed inaccurate. For instance, her discussion of “6” vs “9” is misguided and misleading. Fundamentally, people do not disagree about water an object is a “6” or a “9” because of “reference frames”, but because of an objects orientation in space relative to the observer. That is NOT the same thing as a “reference frame”. For instance, people in the same coordinate system and therefore the same reference frame could disagree about whether an object is a “6” or a “9” depending on their location in the on the coordinates system relative to the object.
      Moreover, people in DIFFERENT reference frames could AGREE that the object is a “6” or a “9” as long as they had the same relative perspective on the object within their reference frame. Therefore a, that is just one inaccuracy in her video.

  • @enobening
    @enobening 6 лет назад +86

    Please more of this. i beg you. this is so awesome !!!!!!!!!!!!!

    • @Ramadhitya
      @Ramadhitya 6 лет назад

      Eno Bening Disini juga

    • @sadik2163
      @sadik2163 6 лет назад

      bahas ini dong om ben, dia dapat beasiswa 3,4 m gara gara membahas teori relativitas albert enstein

  • @SteveGoesPilot
    @SteveGoesPilot 5 лет назад +67

    Great video!
    May I just add some thoughts?:
    1) If you travel at the same speed as the car, you hear the exact same sound that you hear when it's parked next to you and not moving. The honk always makes the same sound, because it's built that way. It does not make multiple sounds, just one. The observers just get a different version of it, depending on their relative movement to the source of the sound.
    2) Your light bulb is only moving up & down, it's the frequency, like the sound of the horn of the car. It always is the same. Now similar to the moving car, when you move, the picture I see is distorted by movement. Stretched or pushed together, depending on my relative speed to you. If we both move at the same speed, the light would just travel up and down again for both of us.
    So relativity tells us that our perceived reality is depending on relative movement between you as observer and the thing you observe.
    It also tells us that there is no such thing as "separation", because everything we experience is happening the way we measure or see it because we are in a certain relationship to the observed. If that relationship changes, the "reality" we perceive also changes. It does not mean that reality itself is different, it just means we perceive a different one. That is what relativity really tells us. And Einstein by this was telling us that the "closed system", which science keeps refering to in it's explanations, does not exist. The closed system we use to explain things is only a definition of our perspective.
    Like when you park your car and the speedometer says 0km/h. You perceive and measure that the car is not moving.
    Yet if you look at your car from a stationary satellite, the car moves at around 450m/s, because earth is rotating under your eyes.
    If you could hear the honk from space, it would sound very strange. Imagine the car passing by at 1.600km/h.
    Now if you could watch and hear the car from the sun, it would be even faster. Because earth is moving around the sun at an incredible speed. If you look at the sun and our star system that travels through the galaxy, you wouldn't believe how fast the car is moving.
    And so on, the bigger you go in scale, the faster your parked car saying 0km/h becomes.
    So everything related to speed is relative as it is connected to the observer and it's relative motion to the observed.
    That's relativity.
    Time is a little different, tho.
    It is only existing because conscious beings like us have a memory and imagination.
    If we wouldn't have memory, there'd be no past. No imagination, then there is no future. Both are just creations of our mind.
    And the speed at which time runs is depending on the speed of our brains being able to receive and process information.
    You can find that in insects. Flies for example have way shorter nerve paths than we humans have, so the signal they receive has to travel a much shorter distance. That makes them able to perceive movements that are too fast for us to see. That's why they see a computer screen flickering and that's why your hand trying to slap them for them moves in slowmotion.
    You can see it also when you film a screen, the camera can perceive more pictures than we humans can, so it records the flickering. And when you film the rotor disk of a helicopter, the camera can actually be recording at the same speed as the rotation and you wouldn't see the rotor disk moving at all, because the pictures it records are always the same point in the rotation. We know that's an effect of cameras. But what we don't think about usually is that our consciousness is similar to that camera. We take in pictures at a certain frequency and if that frequency matches, we don't see any movement. If your clock's pendulum would run at the same speed as you receive pictures, the pendulum would stand still like a movie is made out of single pictures, everything we observe as movement is just single pictures combined in our brains. And because we remember the last few pictures, we know something is moving. We can also imagine the next few pictures, cause we understand physics, so we can predict movement unless a conscious being is controlling the movement and it does not obey the laws of physics as we would expect. Like a car that rolls down the hill, we'd expect it to go straight. But if a human turns the steering wheel, it acts differently and we did not see that coming. (This goes into possibilities and the idea that all our imagined possible scenarios exist, which I find ridiculous because that's a very human focussed point of view and the universe doesn't imagine things and chooses from them like we do.)
    We have tricked ourselves in the belief that time exists, because we invented measures like seconds and minutes and so on, looking at cycles that repeat and counting how often they repeat themselves. And we count one cycle as one unit of time. Wether it's our planet moving around the sun or if it's an element throwing out photons at certain intervals. But just because that happens doesn't mean time exists. It only means that we take these cycles and compare things to them and say "oh, this takes so many cycles". It would happen even if the cycle we compare it to wouldn't exist. We'd just not have a means to say "it takes this long". Everything we see already happened before we see it or realize it happened. That's because light travels to us from there. Now if you want to determine when exactly something happened, you'd have to look at:
    What distance did the light travel from the observed to the observer?
    What distance did the signal travel inside the observer?
    How fast did the observer process the information?
    So you can't really pinpoint a thing in time, unless you take out all the delays that are in this scenario.
    That's why time is relative, too. It's your relationship to the object not only in relative motion but also in the way how you perceive time and how the observed perceives time. You'd say the fly is extremely fast. The fly would say you are extremely slow. Who's right? Both experienced the same, both have a different perspective on time. A different scale of awareness.
    What we do have is coordinates in space, tho.
    Because we memorize where something was before, we could say instead of cycles we use distance travelled through space. Like you could say "today's morning (add time & date) I had breakfast with my best friend" or you could say "6 million miles away (add space coordinates) from where earth is now, I had breakfast with my best friend". It's more complex, of course, but it's more precise. Because "today" is a made up thing.
    If for some reason mankind decided to change zero hour and move it to where noon is, then you would have had breakfast with your best friend last night. But you can't change location coordinates in space. So no matter what type of measurement you'd use, you always know exactly when something happened - because the coordinates in space are always the same.
    You can describe them in different ways, but it always leads to the same spot. Saying you had breakfast at that coordinate in space. And since earth is rotating, the sun is moving around the galaxy and the galaxy is moving through the universe (and the universe probably is moving around also), that point in space is unique. You cannot mistaken it for anything else. You cannot say "twelve o'clock" and someone is confused about wether it's midnight or noon. You say "that point in space" and they know exactly what was going on there, even all the rest of the universe could be tracked to where it was when you were at that point in space.
    So you also have a perfect description of when it happened, because from one coordinate you can derive every other coordinate of everything in the universe. Basically, you can point out the picture in the movie and always go there, knowing exactly where everything on that picture would be in relation to each other. Even if your means of time measurement changes and cycles repeat, this one particular moment - an so every single moment in our lives - is unique.
    The universe was in a certain state when you had breakfast and from what we know about it, it's never gonna be the same again.
    Funny isn't it? People always say "every moment in live is unique" - here's how. ;)

    • @matthewbonggayan4095
      @matthewbonggayan4095 5 лет назад +3

      Edi wow...

    • @kenjiehirata6053
      @kenjiehirata6053 5 лет назад +10

      She won because she explained it in an easier way. Yours is to complicated. So why bother????

    • @arthritis3190
      @arthritis3190 5 лет назад +4

      THIS IS A GOOD EXPLANATION THANK YOU

    • @forestlink6673
      @forestlink6673 5 лет назад +8

      Sorry bud, can't finish reading this...
      Next time learn to summarize

    • @shmilyidefy
      @shmilyidefy 5 лет назад +1

      SteveGoesPilot Thanks for taking the time..

  • @yiklongtay6029
    @yiklongtay6029 6 лет назад +3

    I want this to trend so bad. This is brilliant and easy to understand. What took me a semester to conceptually understand is achieved is one video.

  • @justsayin2415
    @justsayin2415 6 лет назад +2

    She just won with the recently concluded Breakthrough Junior Challenge with 20M total prize !!! Congratulations! You made Philippines proud... 😘😘😘😘

  • @p.boscardin
    @p.boscardin 6 лет назад +51

    Congratulations! Brazil is proud of you. You appeared on TV!!
    Never stop disclosing science!

    • @p.boscardin
      @p.boscardin 6 лет назад +2

      AltirisX28048 I AM FROM BRAZIL ¬¬

    • @btavz14
      @btavz14 3 года назад +3

      She is actually filipino 🤣

    • @m.moonsie
      @m.moonsie 2 года назад +1

      @@btavz14 Who said she's not?

    • @bhorgetv
      @bhorgetv Год назад

      ​@@m.moonsie P. Boscardin said so. 😂Brazil is very proud of her daw hehe

  • @ItStartsWithinYou
    @ItStartsWithinYou 6 лет назад +161

    Awesome, Hillary! Congrats! :)

  • @TortillaVideo
    @TortillaVideo 6 лет назад +12

    As a regular After Effects user I must say the animations look very professional, good job! (And of course the content is great too :) )

  • @lorenzoluisi5503
    @lorenzoluisi5503 6 лет назад +2

    "Everything should be made as simple as possible, but not simpler" [cit. A. Einstein]
    Brava Hillary.

  • @Lyrrad08
    @Lyrrad08 5 лет назад +7

    Omg! Congratulations for bagging a scholarship in MIT! Great video by the way! ❤❤❤

  • @SmythAcademy
    @SmythAcademy 6 лет назад +1

    EXCELLENT. As a physicist this is one of the best and easiest explanations I've come across. Well done!!

    • @davidmajor1508
      @davidmajor1508 6 лет назад

      Smyth Academy No, It simply is not. For starters, her discussion of 6 and 9 is misleading and incorrect.

  • @evadnyx
    @evadnyx 3 года назад +4

    Still astounds me how magnificently presented this was 💖

  • @alexandraaesthetic8313
    @alexandraaesthetic8313 5 лет назад +2

    Going back here again after a year after your interview with TV Patrol! I am very grateful to you, ate Hillary for the motivation you give to the Filipino youth! Back in JHS, I was not really interested in Science but in SHS, the same year you've won Breakthrough Challenge, I gained a lot of interest in science and not only did I thoroughly read my lectures each day but I also research other topics!
    Good luck on your adventure to MIT!

  • @rizzamaesalamat9693
    @rizzamaesalamat9693 6 лет назад +11

    Congratulations!! You make the Philippines (and the world) a better place. I hope many students and aspiring scientists will be more inspired by you! 😊 i am so proud!

  • @albertteng1191
    @albertteng1191 Год назад

    Salamat Hillary, you are a role model for other young kids in our country. You are so much better than those who spends their time dancing lustfully on tiktok

  • @chriscombest
    @chriscombest 6 лет назад +4

    This is terrific, and the first time I’ve seen the light/sound/time relationship explained with such clarity. Thank you!

  • @muneerahmedshahabuddin8662
    @muneerahmedshahabuddin8662 6 лет назад +2

    Truly amazing. I saw it several times. My daughter Ayesha Ahmed was one of the semi finalists in 2017. This year too. Best luck.

  • @ScreamingDeaf
    @ScreamingDeaf 6 лет назад +3

    Faith in humanity: Restored.
    Thanks Hillary!

  • @sistermnavarro4937
    @sistermnavarro4937 3 года назад +2

    You're such a brilliant child! Congratulations for bringing pride to our country and pride to your co-millenials!

  • @rubyhoang6697
    @rubyhoang6697 7 лет назад +9

    Wow! This is simply amazing. First time I heard Relativity being explained as creatively
    as this one.

  • @thebathurstkangarooproject5922
    @thebathurstkangarooproject5922 6 лет назад +2

    These is just wonderful. Worth providing to all high-school science teachers and their students!

  • @inscrutableone
    @inscrutableone 6 лет назад +5

    Brava HDA, you surpass your age in a not so relative way. I look forward to hearing more from you in the future, please keep making videos. Quantum mechanics next? Though some pompous researchers look down on it, science education has never been more valuable or important. Moreover it so much harder than it looks, even though you somehow make it look simple and easy.

  • @zegzezon5539
    @zegzezon5539 6 лет назад +1

    Also, *very few* of the people would know that without the application of *Einstein's Theory of Relativity* the GPS, Glonass, Beidu, and other Global Navigation Systems *_would not have worked properly._*
    Again, many thanks for simplifying on those concepts.

  • @jhgrc
    @jhgrc 6 лет назад +6

    Great job. To the seeing 6 and 9 (as 3d as in video) you could also add seeing 1 from side for even more suprising reference.

  • @nerbernardojr8712
    @nerbernardojr8712 6 лет назад

    I was never a good student back in the day but i always argued that it is the style, manner and method of teaching that is key. I always advocated teaching methods using visuals and yes if possible animation. Imagine Hillary just taught me the concept of Theory of relativity in just 3 mins. when it took me a lifetime just to grasp the concept. Kudos.

  • @AH-qy6nh
    @AH-qy6nh 6 лет назад +3

    The editing and animation in your video was great. I can tell you put a LOT of work into this video. You and deserve every bit of recognition. Kudos!

  • @Kelly_Z
    @Kelly_Z 6 лет назад +1

    The wisdom she dropped at the end was unexpected, on point, and fantastic

  • @petermichaelyohannan1152
    @petermichaelyohannan1152 5 лет назад +24

    Boss: Peter, tardy again?
    Me: Boss, time is relative. I may not be late. You might have arrived early. Hahaha

  • @Dayta
    @Dayta 6 лет назад +1

    this to me so far is the most beautiful and easy to understand for someone who is not familiar with the subject video explaining relativity very nice

  • @azzafadhilah9442
    @azzafadhilah9442 7 лет назад +29

    Wow!! Wow!! Wow!! I think you will win this Year. Great Idea, Creative presentation,
    very engaging, and excellent use of the sound effects and graphics.

    • @EVAN-re2yo
      @EVAN-re2yo 6 лет назад

      Mylan Jen and your wish come true this day..

    • @abdulazees1996
      @abdulazees1996 6 лет назад

      yes now she won and got 250k $

  • @chrisrdgymnastics
    @chrisrdgymnastics 5 лет назад +1

    Congrats Kabayan for getting the scholarship from MIT! God bless sis..galing mo!

  • @susanxschen
    @susanxschen 7 лет назад +14

    Wow Hillary! Your video is as impressive as last years! Good luck in the challenge!! :)

    • @HillaryDianeAndales
      @HillaryDianeAndales  7 лет назад +2

      Wow thank you so much! I learned a lot from your video by the way.

  • @vampire2264
    @vampire2264 3 года назад

    Wow ndi ako matalino sa science pero na iintindihan ko kapag ikaw te ang nagtuturo.. millennials are really evolving
    Kudos!

  • @101ninjapig
    @101ninjapig 7 лет назад +5

    This was fantastic. I love you animations and your analogies, and you are very enthusiastic about your topic. Really perfect! Definitely the best one I have seen so far. I hope you win!

  • @maniboni9051
    @maniboni9051 6 лет назад +1

    Give this girl a scholarship! She deserves it...

  • @schizoozy
    @schizoozy 6 лет назад +4

    The video itself is of good quality. Adobe Cloud works well for this sort of presentation. Congrats on your scholarship win. Have fun at school and I hope you consider working with Adobe in the future.

  • @itselias2
    @itselias2 6 лет назад +1

    Ive been telling people time is only relative to the person experiencing it !!! Such a good Job !!

  • @netramittal8127
    @netramittal8127 6 лет назад +4

    Congratulations on winning! such a great explanation omg I think I've finally understood

  • @luismarcial1819
    @luismarcial1819 6 лет назад +1

    Congratulations Hillary! Physics teacher here and your video is awesome :) Keep learning!

  • @wainstallsboy
    @wainstallsboy 6 лет назад +4

    An excellent video put together very well. Great Job, well done.

  • @MultiSciGeek
    @MultiSciGeek 6 лет назад +1

    Really good explanations and animations. It's very nice to see younger people understand this. We have too much ignorance in this world

  • @LanNguyen-gx3zr
    @LanNguyen-gx3zr 7 лет назад +3

    Great work Hillary!! This is even better than your video last year. Best of luck.

  • @effyleven
    @effyleven 6 лет назад

    What a clever young person. I do admire her. The award is well merited.
    Good luck to her for the future.

  • @GeekyMino
    @GeekyMino 6 лет назад +3

    This is the best video I've seen this month!!!! Insta sub😊 Awesome simple explanation in a very well organized video! Great job, keep it up!

  • @e3b
    @e3b 6 лет назад

    With your knowledge at such a young age, your capable of changing the world!

  • @robinjohnson9732
    @robinjohnson9732 6 лет назад +7

    I hope Neil Degrasse Tyson sees this and tweets it :) Great Job!

  • @RalphDratman
    @RalphDratman 6 лет назад +1

    This is the clearest and best introduction to Special Relativity I have ever seen.

  • @dandymcgee
    @dandymcgee 6 лет назад +17

    Congratulations!

  • @MrAkbar2
    @MrAkbar2 6 лет назад +1

    Wow. What a great video. I had zero idea about this notion of relativity but now I have a much better understanding. You are an amazing sharer of knowledge. Your point about the need to see from another's reference point has implications beyond physics as well.

  • @johncampbell5987
    @johncampbell5987 6 лет назад +6

    Great Video!! Congrats on winning!!

  • @kimw76
    @kimw76 6 лет назад +1

    WOW! Congratulations on your win! Your video was engaging, informative and entertaining. You used graphics and sound effects like a pro! I felt like I was watching Sesame Street or the Electric Company (I’m showing my age😬). You are a very poised and articulate presenter. Your depth of knowledge is undeniable! In summary you’re awesome! Thanks for teaching this old dog some new tricks. You managed to do something that no Physics instructor has ever been able to do for me; I can comprehend physics! I look forward to your future endeavors and I hope they include educational videos like this one sooner rather than later. Your selection and use of examples indicates that you have a knack for teaching.

  • @cernaym
    @cernaym 6 лет назад +3

    "Reference frame" is objective (place, location) but NOT subjective as ... "reference framed": religion, social status, politics, race, color, nation, etc. Hence her relatives... should not take things... relatively.

  • @yash1152
    @yash1152 6 лет назад +1

    And ya, so nice of u to have put all the details in the description.

  • @enriquemoran1637
    @enriquemoran1637 7 лет назад +13

    Best of luck!!

  • @arjay18
    @arjay18 6 лет назад

    I finally understand the theory of relativity. Many thanks Hillary! Proud kababayan here!

  • @Blaze22F
    @Blaze22F 6 лет назад +9

    *C O N G R A T U L A T I O N S*
    'lupang hinirang' plays in the distance

  • @onedearfullmom
    @onedearfullmom 6 лет назад +2

    Well explained makes me wanna love physics again 💕 congrats you make us all Filipinos proud!

  • @ShreysTechTips
    @ShreysTechTips 7 лет назад +39

    What program did you use to animate it? Just curious

    • @HillaryDianeAndales
      @HillaryDianeAndales  7 лет назад +92

      Hi! I used Adobe Premiere Pro (spent ~17 hours) for video editing and Adobe After Effects (spent ~120 hours) for animations and compositing. I had the CC 2017 versions for both.

    • @stanlehss7727
      @stanlehss7727 6 лет назад +1

      Hillary Diane Andales Congrats:)

    • @kingkongmonnandtommyg8184
      @kingkongmonnandtommyg8184 6 лет назад +1

      Congratulations Hilary

    • @Davsan1
      @Davsan1 6 лет назад +1

      You did a wonderful job! Keep it up!

    • @patrickjmt
      @patrickjmt 6 лет назад +8

      Wow, you spent 140+ hours making this video? Amazing! It turned out really well, I'm super impressed.
      Keep making videos, you have a knack for explaining!

  • @fetalveroeddie2396
    @fetalveroeddie2396 6 лет назад

    Congratulations. You will be an inspiration to all young Filipino science enthusiasts.

  • @AdversityZone
    @AdversityZone 6 лет назад +4

    WOW just WOW

  • @deepsweech
    @deepsweech 5 лет назад +1

    Congratulations for getting into MIT. We're Filipinos based here in Boston. We would be glad to meet up with you and have some kwentuhan 😁

  • @manojkafley6561
    @manojkafley6561 4 года назад +3

    1:47 wait, is light relative ?? I mean according to Einstein's relativity of simultaneity, light is a constant which concludes that time is relative....juz asking for clarification.
    BTW Loved Ur video 💓💓

    • @physicsboi1744
      @physicsboi1744 4 года назад

      She meant light being relative as in the visuals of light, or colours of light, not the speed of light.

    • @manojkafley6561
      @manojkafley6561 4 года назад +1

      @@physicsboi1744 oh okyy... thnx for the clarification 😊

    • @physicsboi1744
      @physicsboi1744 4 года назад

      @@manojkafley6561 :D

  • @robertotgt
    @robertotgt 6 лет назад

    in counterpart, all the observers we see you and hear you from different parts of the world... think you are amazing!! Congratulations!!

    • @mirkokurac
      @mirkokurac 6 лет назад

      No, we don't. Your perception of reality is wrong, as is the video.

  • @fallenIights
    @fallenIights 6 лет назад +3

    Congratulations!!

  • @screamingiraffe
    @screamingiraffe Год назад

    Old video but even now, so very proud of this young woman. Amazing strength of will, follow-through, and keeping the goal in mind when there are so many distractions can lead you astray. Perhaps a new hypothesis written by Hillary is on the horizon (or perhaps already published). Good luck to you HDA.

  • @valerietesorero8487
    @valerietesorero8487 5 лет назад +3

    ABS-CBN NEWS BROUGHT ME HERE

  • @DelElson
    @DelElson 6 лет назад

    Congratulations Hillary. The time slowing down thing is interesting and not a lot of people get it. Look at a comparison between the speed of light and the speed of other objects. Imagine 2 guys sitting on park benches facing each other, batting a ping-pong ball back and forth. Each time back and forth the ball travels a certain distance in a certain time, therefore has a certain speed (distance / time). Now move those guys into the back of a truck and drive the truck along a road. From the frame of reference of the road, the ping pong ball is going back and forth at the same speed, but is also going forwards at the speed of the truck, therefore the sum of the speed vectors will mean that the ping pong ball has sped up.
    Now translate that to the light bouncing between two mirrors situation that you gave. As the mirrors move faster through space, does the light bouncing between them speed up as well? No it does not, because light always moves at a constant speed, and can't slow down or speed up, relative to anyone (you stated this but many people don't understand it). Therefore for the stationary viewer to see the light travel an increased distance at the same speed, time (relative to the stationary viewer) has to increase, or as you say, time has to slow down for the moving viewer.
    Very nicely put together video and congratulations on the win.

  • @dawnfernandez2119
    @dawnfernandez2119 6 лет назад +5

    Kelan kya ako maiinlove sa physics? As i remember Physics is my lowest grade back in college.. hahaha! Ay pati dn pla math.. hahaha! Pano na kya kung ginawa png tagalog ang math? For example:
    "parisukat ugat ng ekis itaas sa kapangyarihan ng sampu"
    in ENGLISH.
    "square root of x raise to the power of 10"
    (Bigti na cguro tlga ako!? hahaha!)

    • @Breakthrough-cf2tv
      @Breakthrough-cf2tv 6 лет назад

      Donna Fernandez hahaha relate ako sayo

    • @dawnfernandez2119
      @dawnfernandez2119 6 лет назад

      Breakthrough Upon Breakthrough hindi pla ako nag iisa.. hahaha! Kya nga ako ng psych major kc ayaw ko ng math tpos puro math dn pla ang kakabagsakan ko.. 1st sem 5units algebra na agad.. hahaha

  • @ananyadas704
    @ananyadas704 2 года назад

    This is the best explanation of relativity I have ever seen. I wish you were my physics teacher in school.

  • @kayecobarrubia5630
    @kayecobarrubia5630 6 лет назад +9

    Ano daw? Natanga ako dito haha. Btw ur so smart keep it up

    • @Asiong09
      @Asiong09 6 лет назад

      kaye cobarrubia 😂😂😂

  • @xjesh868
    @xjesh868 6 лет назад +2

    Wow, absolutely fantastic video. Your animations were on par or better than the professionally made educational videos my middle school/high school used. I also really liked the logical progression in complexity of your examples to get the audience to understand the same end conclusion, very well made.

  • @abhimanyupallavisudhir6007
    @abhimanyupallavisudhir6007 7 лет назад +24

    Two comments: sound has a medium to propagate through, so the analogy between doppler shifted sound and doppler shifted light is not perfect. For instance, the moving-source and moving-observer cases are symmetric with light, so there is no invariant associated with a single pulse of light moving through space, whereas there is with sound (the frequency you get when you're at rest wrt the medium).
    Second, the judge *can* still determine that Usain Bolt broke a world record, because he can measure Bolt's proper time, which is invariant. This is important to mention, because the existence of invariants is a crucial insight of relativity.

    • @vincentsuan4833
      @vincentsuan4833 6 лет назад +4

      Abhimanyu Pallavi Sudhir winner na xia wag ka na

    • @ZackV2496
      @ZackV2496 6 лет назад +1

      tanggapin mo nalang cya na winner..echus

    • @kinkylicioustv1059
      @kinkylicioustv1059 6 лет назад +1

      She already won! What's your point?

    • @abhimanyupallavisudhir6007
      @abhimanyupallavisudhir6007 6 лет назад +19

      Calm down. I posted my comment before the judging even began. It's constructive criticism. If you don't like it, leave it.

    • @kidcannabis7878
      @kidcannabis7878 6 лет назад +2

      Constructive criticism. Relax..

  • @pafou
    @pafou 6 лет назад

    Good examples with clear and simple explanations. Well done.

  • @robyfiorili
    @robyfiorili 6 лет назад +3

    Good try, but...are you kidding me? :) The "w" traced by the light bulb it's not "the path of the light", it's "the path of your arm" while you are moving. The "w" belongs to the moving plan, the light which I want to measure the speed reaches my eyes almost perpendicularly the moving plan. The speed (or the motion) of light it's not the speed (or the motion) of a light bulb in your hand while you are moving.

    • @glenn9980
      @glenn9980 6 лет назад +2

      It's true but she also not wrong its just your "frame" isn;t ?
      the more i watched video the more i didn't get it
      btw sains is not my main field lol but this video indeed intresting !

    • @robyfiorili
      @robyfiorili 6 лет назад +2

      Well, science is my field, and also I read a lot of scientific literature about physics, relativity, speed of light, speculative time travel. The video is interesting, anyway the example about the light in motion, which I already found in some book, it's not explaining the "time relativity", or the "slowness of clocks in motion". That's a trick of the science writers. Actually, it's explaining the Galilean relativity.

  • @baconator6374
    @baconator6374 5 лет назад +1

    On point ang explanation. Tas ganda din ng animation. 😁

  • @lyndarlehane582
    @lyndarlehane582 6 лет назад +36

    Sorry, no. This is the common misunderstanding of Einstein's theory. Almost everyone thinks this is it, but it isnt. The thing itself, the constancy of the velocity of light in all frames, is an experimental result that is astounding, and leaves far behind these simple sound wave analogies. And implies testable results which your simple viewpoint does not. Don't worry though, you made a great video, and 95% of adults who think they understand relativity are making the same mistake.

    • @Under1The2Bridge3
      @Under1The2Bridge3 6 лет назад

      I see you Michael Scott

    • @chriswhatley9080
      @chriswhatley9080 6 лет назад +7

      My simple mind sees it like this; I may see a six and you may see a nine, but it was either intended as a six or nine, so someone is wrong. I think the same applies to any of these other experiments. Just because your perspective is different, doesn't make it correct.

    • @Youtuber111-p2x
      @Youtuber111-p2x 6 лет назад +18

      Here's the thing about your explanation. No one understands. And that's the issue with the scientific community today. Do you see a surgeon using his medical jargon on his patients? No, you don't. Because they won't understand it. And if he did use medical terms, the patient will dismiss the vital information. People read your comment, and whether you are right or wrong, it will be immediately dismissed by the public.

    • @LBW999
      @LBW999 6 лет назад +1

      Except they do, and that's why you have so many jokes about "What does that mean in human language, Doctor?!" But you'd have to be an idiot to disregard what an expert has to say just because they're using a few difficult words. Either way, complex concepts require intricate definitions, that's just the way it is. Unless you want to see the world and the universe through watered down glasses that is.

    • @Youtuber111-p2x
      @Youtuber111-p2x 6 лет назад +2

      LBW999 welcome to reality dipshit, where the majority of people are dumb as rocks. And btw, those jokes are present only in tv shows and movies. Time to get back to reality. Your response was weak.

  • @shehzadsalman
    @shehzadsalman 6 лет назад +1

    Congratulations Hillary, your video hits the sky!!!

  • @dudeniminecraft
    @dudeniminecraft 6 лет назад +8

    Well, technically what she says at 0:13 is wrong. They're not "both right". The one who made the number, or the one who put it there, had intentions of what number it was supposed to be. if it was supposed to be both, then they're both wrong, it's then neither 6 nor 9 in that case. The case that comes closes is if the number was meant to be interpreted in both ways, but then again, what if you changed the font, where the 9 and 6 look different if swapped. The only way to find the right answer is to observe it every way possible, and the numbers history. Otherwise great video :)

    • @dudeniminecraft
      @dudeniminecraft 6 лет назад +5

      You proved me both right and wrong, and I may have jumped to a conclusion. The purpose of my comment was to try to inspire to look for more evidence, more facts, and fewer assumptions. In the video, you can clearly see that the 6/9 have been manufactured. It's clearly carved out of some type of wood. However, if the 6/9 (as you said) would have somehow (for example with your rain and/or lightning example) appeared. There would be no other information about the number, It would simply be whichever number the observer would choose (As you also said).
      With your math example of 2x3=6, that is in fact, a fact. 2 times 3, equals 6, no matter what. But if you make one of the numbers vary, as in quantum computers, where a "Qbit" (A sort of modified bit) could be 1 or 0 or both 1 and 0 at the same time. If we go back to the math example you could say that 2x(3or6) = either 6 or 12. It's the observers choice. There is no previous information to be found. There is a 50/50 chance of both numbers appearing.
      To close it off, I agree with almost everything you wrote. The only thing I would like you to reevaluate is the "The answer is clear. NONE!!!!". I may be wrong, but I think the 6/9 number is clearly manufactured, therefore the manufacturer has some sort of intent of what number it would be. Maybe the factory made the 6 and 9 the same way, and just package them differently, or perhaps they made a 6/9 package. Then my argument would go out the window, and the buyer would have the final word if the number was a 6 or a 9. I'm simply encouraging people to look for more evidence if there are any. If there is none, then everything you said is correct.
      To answer your last question, let me refer you back to the Qbit. The piece of wood becomes what the first person to use it, uses it for. If they all fight for it, with it; then it becomes a club. But if the first person who was looking for firewood uses it for firewood, then it is a firewood. As with "schrodinger's cat" (google it, if you don't know what it is). You don't know what it is before you observe, or in this case, use it.
      Thank you for your well-constructed argument, and good manners. That is hard to find here on youtube.

    • @wernermaxwell8152
      @wernermaxwell8152 6 лет назад +3

      Thank you too Axzero!!! Your openness to new knowledge and insights also makes you a rare person here in RUclips. May your tribe increase.!!

    • @swinfwar
      @swinfwar 6 лет назад

      Axzero you're taking an analogy way too far

    • @dudeniminecraft
      @dudeniminecraft 6 лет назад +1

      Zach Hinkle you're probably right

    • @kostantinos2297
      @kostantinos2297 6 лет назад

      Perhaps the person who put the number there intended to troll them so that they would start arguing over it, or even attempted to motivate them to finally concluding that there is no absolute reference frame, deciding that they are both right. That would make them both right, I guess.

  • @ALLINONE-qj8qd
    @ALLINONE-qj8qd 6 лет назад +1

    Hillary well done ! You deserved that award. I am your fan now. I have a request for you. As you have shared your knowledge regarding relativity in such brilliant way. Could you also share how you created your video's animation in After effects cc? Please it would be great.

  • @corcon6976
    @corcon6976 6 лет назад +5

    "They're both right."
    Well, this is wrong. The number doesn't care who looks at it from what angle that person happens to be. It doesn't change its properties based on the way any particular person looks at it.

    • @anglebee01
      @anglebee01 6 лет назад +4

      Here is something from Werner Maxwell over there at the Khan Academy where there is a similar debate on the same issue. Werner Maxwell wrote these:
      Okey. Here is my summary of the matter. There are cases when the reality of the matter is fixed already regardless of any observer. Examples of these are mathematical truths such 2x3 =6 . That 6 is the answer to 2x3 is true all the time. If a person answers 9 to 2x3 that person is simply wrong. Questions in the mathematical realm are absolute and does not depend on the reference frame of the observer.
      HOWEVER, there are also cases when the reference frame of the observer is extremely important in deciding the truth of the matter. The 6/9 analogy used by the kid in the video is an example of this thing. Without any further contextual information, the thing on the kid's table could be either 6 or 9. Without any further contextual information, it is not correct to claim that the truth of the matter is decided already. You said that you can ask the manufacturer. But what if the thing on the kid's table was sculpted by the rain?
      Another example is the glass half full/half empty analogy. Your position would say that the answer to the question whether the glass is half full and half empty is decided already before there is any observer. But you are very wrong in this case. The answer to the question whether the glass is half empty or half full is what the observer says it is. Both answers are equally correct.
      Still another example of a case that the observer's input is crucial is when a person says his wife is beautiful while his neighbor says the wife is ugly. THe truth of the matter (whether the wife is ugly or beautiful) is that it is the observer who decides. Beauty is really in the eyes of the beholder. Whatever the observer says in this case is correct.
      -------------------------------------
      Are there other letters at the kid's table? None!!! None at the bottom. None at the top. WITHOUT ANY OTHER CONTEXTUAL INFORMATION, an observer could say either 6 or 9. And whichever answer is correct in that case.
      Here is yet another thought experiment to show the absurdity of your argument that the answer is fixed already. Let us build upon the analogy of raindrops sculpting the stone. After two million years, the raindrops (after dripping over a stone over severall million years) sculpted the thing and then it was hit by lightning and it was sent spinning into empty space. The thing was still spinning when two astronauts got nearby the spinning object. So one astronaut asked his buddy, "What number is that?" Astronaut A says it is a 6 but the opposite, Astronaut B, says it is a 9. Then after a few seconds the spinning object changed orientation. Now Astronaut A (who previously says it was a 6),"No buddy I changed my answer it is not 6 but 9". The other astronaut (who previously said the spinning object was a 9) replied, "Buddy I changed my answer, it is now a 6". They continued to argue and then the spinning object changed orientation again, and both of them changed their answers too.
      Then after a few minutes, they laughed. They now understand the absurdity of their assumption that there was a fixed answer to the question of what number the object is in front of them.

    • @anandr1385
      @anandr1385 6 лет назад

      anglebee01 then I perceive the number to be a 5

    • @corcon6976
      @corcon6976 6 лет назад +1

      "But what if the thing on the kid's table was sculpted by the rain? "
      -The rain doesn't do numbers. To accept this approach, even the delusional patients in hospitals could defend their claims that the beds they sleep in are wombs.
      "whether the glass is half full and half empty is decided already before there is any observer. But you are very wrong in this case."
      -Try waiting to hear my answer before telling me I'm wrong. Once again, the glass doesn't care how anyone looks at it. And once again, a delusional person could say that the milk and the glass are one. You're trying to give observation a validity that the glass and milk are actually indifferent to.
      "Whatever the observer says in this case is correct."
      -Then the guy who says she's butt-ugly cancels out the guy who says she'd drop dead gorgeous. Yet their opinions have zero impact on how her facial features are formed.
      "to show the absurdity of your argument"
      -By telling me a story about stupid astronauts? You could go on forever with these analogies, but a real-world example will still be out of reach.
      The folly here is in the overlapping of what we see and decide with what the facts are.

    • @anglebee01
      @anglebee01 6 лет назад

      Anand Rooplal. Of course you cannot miss it to be a Number 5 because they have different shapes/topologies. But in the 6/9 case the 6 and the 9 are topologically dual or equivalent with each other. IF there is no prior reference frame then we can say that a sculpted 6 can be used as a 9 . Or we can say a sculpted 9 can be used as a 6.
      But Number 5?? Only a crazy person will call a 6 a 5

    • @anglebee01
      @anglebee01 6 лет назад

      Courconwll. You are not answering to any of the examples. So in the pessimist/optimist example, who do you think is right? In the beautiful/ugly wife example, who is right, the husband or the neighbor? Just state your answer in a straightforward manner and not evade questions and answer like a drunkard.
      In the 6/9 portion in the kid's video, given that there is no prior definition of left, right, up or down, WHY SHOULD ONE GIRL HAVE PRIORITY OVER THE OTHER? Please answer clearly.

  • @juanbester2184
    @juanbester2184 2 года назад

    Mind blown! Took me a week of youtubing this very topic to understand it with my neanderthal brain. I eventually came close... you did it in less than 3 min.

  • @dmitrix5694
    @dmitrix5694 5 лет назад +3

    Feeling ko ang bobo. Simplified explanation na nga to hindi ko pa rin maintindihan.

    • @jcflores8386
      @jcflores8386 5 лет назад

      jerry argentum mee too hnd tayo para sa science 😂😂💪🏼

    • @basiccomputer2019
      @basiccomputer2019 5 лет назад

      Hahaha, same here.

  • @amrans
    @amrans 6 лет назад +1

    You go Hillary! Such a joy to watch your sharing + the beauty of your creation and the beauty of you! Keep it up yah!

  • @elypeachy3296
    @elypeachy3296 6 лет назад +2

    To demonstrate complexity of reality I used the examples of glass half full or half empty or is it a young girl or old lady in a picture, when both perspectives are simultaneously true.

  • @Lyntal941
    @Lyntal941 2 года назад +1

    Wow! You're so amazing! As someone who did not grow up interested in Science, I might start studying now because of your vid ❤ you really deserve your scholarship

  • @tomfrantz
    @tomfrantz 2 года назад

    THIS! Is also the answer to all humans to aspire 2 be better people, more positive, and humbly say, "You are trying-from your perspective, so stay positive from that lowly, mediumish- or heightened vantage point."

  • @krisianmalonzo9106
    @krisianmalonzo9106 21 день назад

    Impressive!! Congratulations!!
    Just keep it up,, I believed you will be a future scientist, I am so amazed because nowadays there are so many teens hook up with socmed but rarely talked about science and math ,,and you proved that there still hope for the motherland..

  • @gianlucagemelli2909
    @gianlucagemelli2909 6 лет назад +1

    Beautiful video, beautifully done and explainded, I loved it. Even if it suggests that time has a perceivably different rate between two observers in very slow relative motion, which obviously is not, so there must be something wrong in the moving chair example.

  • @cjacks61
    @cjacks61 6 лет назад

    I love trying to figure this stuff out but now I will be bored because I completely understand it thanks to you! I hope you become the next great physicist , good job Hillary!

  • @tonyp2632
    @tonyp2632 6 лет назад +2

    Congratulations on your "WIN"! I bet your parents are very proud of you. Not for the prize money but because your you. Take care. Shout out from California...

  • @tubewerk
    @tubewerk 6 лет назад +1

    Wow! This is a really intuitive explanation - and it's very well structured and presented