Sine Wave | Simple Explanation on a Giant or Ferris Wheel | Trigonometry | Learnability

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  • Опубликовано: 28 ноя 2024

Комментарии • 330

  • @reetbedi7617
    @reetbedi7617 4 года назад +80

    Awesome! breaking it down to just a simple circular motion helps to understand it a lot better than textbook equations 😀 Thanks!

  • @STalwar2185
    @STalwar2185 4 года назад +71

    Wow!! I will probably remember this forever now. The answer to the question should be same size (because of same Amplitude) and same speed (because of the same amount of time it takes to complete one oscillation).

    • @RoseUniversity
      @RoseUniversity  4 года назад +7

      Correct!

    • @andrewfetterolf7042
      @andrewfetterolf7042 2 года назад +2

      The second, (blue wheel) is CLEARLY spinning twice as fast as the red wheel and it is the same size. So you are wrong, and the author of the question just made t10 = 20 and t20 = 40 in the blue to make it a trick question.

    • @RoseUniversity
      @RoseUniversity  2 года назад +12

      Andrew, hint: please take a look at the x (time) axis of both plots closely. Its a trick question. Thanks!

    • @funfactory6273
      @funfactory6273 Год назад +1

      @@andrewfetterolf7042 The question is visually tricked. For first one the motion recorded slow in video, while for second one motion recorded in video faster, that's why it looks that way, but looking at X and Y axis things are different. And for the same reason, X axis in second one is made bigger.

    • @NcCreeker
      @NcCreeker 7 месяцев назад

      New appliances will only work off this wave. All my off gridders out there

  • @jienasiqiaoyi8258
    @jienasiqiaoyi8258 2 года назад +17

    Both rotates with the same speed. Big wow, plane & simple explanation. Great👍

  • @AlterAnima
    @AlterAnima 11 месяцев назад +7

    brilliant! 33 yrs to come accross this video and finally understand! Thank you!!!

    • @RoseUniversity
      @RoseUniversity  11 месяцев назад +1

      Tatiana, that is very encouraging! Thanks for the motivation and supporting roseuniversity.org!

    • @kevinmedeiros3535
      @kevinmedeiros3535 8 месяцев назад +1

      Me too! I'm literally 33.

  • @mannatverma9276
    @mannatverma9276 4 года назад +21

    Knowledgeable video,well explained, waiting for more knowledgeable and interesting videos

  • @duckymomo7935
    @duckymomo7935 2 года назад +13

    this video and channel is underrated, wtf

  • @CD10ANIL
    @CD10ANIL 2 года назад +8

    BEST video explanation, I have seen till now.👌

  • @YTtijbedi
    @YTtijbedi 4 года назад +23

    Succinct and effective video. A sign wave explained with a very good analogy! Would you please also share some real life problems this waveform helps us understand and perhaps solve...

  • @bedivinod80
    @bedivinod80 4 года назад +15

    I had some idea about sine wave, After seeing this wonderfully explained video now I know what it is !!!!

  • @xa-12musk8
    @xa-12musk8 Год назад +4

    Actually explaining the concept rather than purely how to utilise it. Thank you so much.

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org

  • @aena_
    @aena_ 2 года назад +12

    best video explanation

  • @Cakemagic1
    @Cakemagic1 Месяц назад

    Yesterday I decided to learn how the whole thing works (because the SIN seems to be used a lot in things like animation, video games calculations, etc.) and the more I understand it, the more I'm in awe how someone could even come up with the whole thing. Trigonometry is really ingenious, the more you look into it.

  • @sonixSZ
    @sonixSZ Год назад +9

    I missed the basic of 5 year class, and i found it in 6 minutes video. Thanks Sir!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Haha thanks for the appreciation and supporting the channel Sonix!

  • @brindaahuja8283
    @brindaahuja8283 4 года назад +24

    Wow!! never learnt this way, explained beautifully, simply and clearly!!

  • @shashidharshettar3846
    @shashidharshettar3846 9 месяцев назад +3

    Thanks for Indian Sanskrit contribution “Ardhya” we still use the latter word in our daily social communication for example “give me half of the fruit or any item by saying “give me Ardhya”

    • @RoseUniversity
      @RoseUniversity  9 месяцев назад +1

      Wow! I did not know that. Very interesting. Thanks for supporting the channel!

  • @monoman4083
    @monoman4083 2 года назад +16

    sine up 4 more videos..

  • @shaansingh2860
    @shaansingh2860 4 года назад +12

    Very informative video 🙌

  • @nitakumari4670
    @nitakumari4670 4 года назад +14

    Thanks a lot for sharing this video and simplifying a sign wave so wonderfully. Well explained video 👍

  • @shera999
    @shera999 4 года назад +18

    Can u explain square wave also ...?

    • @RoseUniversity
      @RoseUniversity  4 года назад +2

      Hi! Do you mean square waves used in data communication? or square waves seen on surface of water? Send me a picture of what you're curious about ...

    • @carultch
      @carultch 2 года назад +3

      Square waves are ultimately a superposition of multiple sine waves, with a pattern of increasing frequency called harmonics, and decreasing amplitude as frequency increases. Look up the Fourier series of a square wave, and Fourier transform that generates them.

    • @vertigo6982
      @vertigo6982 2 года назад +1

      Good mention. You should do a video on square waves. I watched some embedded electronics videos where the guy would throw them on that wave machine to explain inverters & transformers IIRC and there were times where the waves were square shaped instead of a nice sloping rounded line

  • @Itsuki_joestar
    @Itsuki_joestar Год назад +5

    This I so understandable even if its 2 years ago it's still understandable !!! thank you I'm going to use this example in my maths expedition and make a real model thank you!!! This is so helpful to me!!!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it was helpful! Would love to see a real model! Thanks for supporting the channel and roseuniversity.org

  • @rachnatyagi7550
    @rachnatyagi7550 4 года назад +9

    Good explanation.. 👌👌👏👏

  • @nitakumari4670
    @nitakumari4670 4 года назад +18

    Beautifully and deeply explained , well done,desperately waiting for more knowledgeable videos

  • @johnnybee1776
    @johnnybee1776 11 месяцев назад +2

    Best explanation I have ever seen or heard, Thank You.

    • @RoseUniversity
      @RoseUniversity  11 месяцев назад

      John, only few leave encouraging comments like these, thanks so much for the motivation and we're glad it was helpful! Again, thanks for supporting us

  • @ayub365
    @ayub365 Год назад +6

    Excellent. After 25 years later I got this explanation

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it helped! Thanks for supporting the channel and the appreciation!

  • @maverick210885
    @maverick210885 2 года назад +4

    How come this did not come in my recommendations till now... Such a beautiful video... Thanks a lot guys... This channel should have more subscribers... But I see that you have only 11 videos...I think you guys should make more videos... You have a great explanation technique... Thanks a lot and wish you the best

    • @RoseUniversity
      @RoseUniversity  2 года назад +1

      Thanks for your appreciation! We are working on new videos. Please suggest any topics that you would like us to make videos on as well!

  • @prachirahate1631
    @prachirahate1631 2 года назад +4

    Brilliant explanation.

  • @silvershield2342
    @silvershield2342 11 месяцев назад +3

    Excellent presentation!

    • @RoseUniversity
      @RoseUniversity  11 месяцев назад

      Thanks for the motivation and supporting the channel!

  • @lodgechant
    @lodgechant 6 месяцев назад +2

    This is SO helpful - thank you! It makes everything so clear!

    • @RoseUniversity
      @RoseUniversity  6 месяцев назад

      Thanks for the appreciation and encouraging us!

  • @thedefiant100
    @thedefiant100 3 месяца назад +2

    Awesome...a channel worth subscribing

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      Really appreciate you subscribing and the encouragement that it gives us!

  • @jyotisurve2907
    @jyotisurve2907 2 года назад +4

    Thanks for such a wonderful explanation. Keep making videos for concepts in mathematics. You just earned a new subscriber. Gr8 work again.

  • @adityabhusari9645
    @adityabhusari9645 9 месяцев назад +3

    Simply great explanation

  • @bhushankshire2854
    @bhushankshire2854 4 месяца назад +2

    Wow!! Didn't know this earlier. Simply Amazing

  • @skilledengineer
    @skilledengineer 4 месяца назад +1

    Nice presentation

  • @muralikrishna1097
    @muralikrishna1097 2 года назад +3

    What a fine visual explanation? I like your way of explanation, too.

  • @AXELPEREZ-hg2oh
    @AXELPEREZ-hg2oh 7 месяцев назад +2

    Excellen video, perfect explanation with graphics. Thank you.

    • @RoseUniversity
      @RoseUniversity  7 месяцев назад

      Thanks for the encouragement Axel!

  • @pfever
    @pfever 5 месяцев назад +3

    5:36 same speed and size size of ferry wheels, but we are recording the on the right for double the time :)

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад

      Perfect! Thanks so much for supporting us!

  • @solarpanel704
    @solarpanel704 4 года назад +8

    good work

  • @schhugan
    @schhugan 2 года назад +3

    very wonderfully illustrated and articulated

  • @naser687
    @naser687 2 года назад +3

    Great explanation.... Thanks a lot..keep continue.... Awesome

  • @visheshvashisth3618
    @visheshvashisth3618 2 года назад +3

    Awsmm

  • @Pritumabcd7
    @Pritumabcd7 5 месяцев назад +1

    Thank you so much sir❤
    And the answer of the last question is both of the sine waves are moving simultaneously.

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад

      Correct! Thanks for supporting us!

  • @TMinusRecords
    @TMinusRecords 2 года назад +6

    Your intro song is "the lick"

  • @Biffmin
    @Biffmin Год назад +1

    My hero. It's starting to make sense to me now.

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it was helpful. Check out our cosine and tan wave videos too!

  • @victorlavender1688
    @victorlavender1688 3 года назад +10

    London Eye - one day i'll be there! So the sine wave just tell's me the height of the person on the giant wheel and cosine the horizontal displacement .. right?

    • @RoseUniversity
      @RoseUniversity  3 года назад

      You got it!

    • @OneDayIMay91Bil
      @OneDayIMay91Bil Месяц назад

      I'm stupid please help me understand how I would figure out the height of an individual on the London eye using this sine wave graph.

  • @JosemariaCarrascoMolina
    @JosemariaCarrascoMolina 5 месяцев назад +2

    Very good explanation! Cheers!

  • @huezos4548
    @huezos4548 2 года назад +3

    Excellent visual explanation!!!

  • @swastikayadav7529
    @swastikayadav7529 2 года назад +2

    Same size and same speed... loved this video ❤️❤️

    • @RoseUniversity
      @RoseUniversity  2 года назад +1

      Correct! Thanks for supporting the channel

  • @DiegoSynth
    @DiegoSynth 3 месяца назад +1

    Excellent explanation!! One of the best I've found! Thanks a lot 👌

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      Glad it was helpful! Thanks so much for supporting the channel!

  • @killer151489
    @killer151489 9 месяцев назад +2

    you are absolutley incredible thank you so much !!!!

    • @RoseUniversity
      @RoseUniversity  9 месяцев назад

      You're so welcome! Thanks for your support!

  • @kar_sgj
    @kar_sgj Год назад +1

    This was one of my college assignment . Thanks for the detailed explanation

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Hi Karunya, glad it was helpful! Thanks for the appreciation and supporting roseuniversity.org | Learnability

  • @fuzzbucket00
    @fuzzbucket00 Год назад +3

    This is amazing. Thank you so much for these wonderful videos. I wish I learned this in school

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Thanks for the appreciation and supporting the channel Katerina!

  • @vedantmanjarekar8983
    @vedantmanjarekar8983 Год назад +2

    This is a great video on understanding and visualizing sine waves. Thanks ❤🙏

    • @RoseUniversity
      @RoseUniversity  Год назад +3

      Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org

  • @billjohnson4626
    @billjohnson4626 Год назад +1

    Finally it makes sense, Thanks!!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it was helpful! Thanks for supporting the channel

  • @sanjayrao1767
    @sanjayrao1767 Год назад +1

    Thanks for revealing legacy of India

    • @RoseUniversity
      @RoseUniversity  Год назад +2

      It's always interesting to learn where things originate from!

  • @BoutiqueLaTrice
    @BoutiqueLaTrice 2 года назад +2

    Great explanation!

  • @RituBora-q2m
    @RituBora-q2m 2 месяца назад

    From thinki g of sine as a ratio of a triangle to this
    I feel truly evolved.
    Thankyou 😊

  • @ronniechilds2002
    @ronniechilds2002 Год назад +1

    The origin of the word sine was interesting. Seriously.

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Yes Ronnie, agreed. Very interesting that the original word was simply chord of a circle. I'm guessing mathematicians didn't have any intent to create confusion but over time (and geographical distance) the name changed ...

  • @HenrikMyrhaug
    @HenrikMyrhaug 2 года назад +5

    Damn, I was completely fooled by the last question until you pointed out the axes!

    • @RoseUniversity
      @RoseUniversity  2 года назад +2

      It shows you were paying attention and trying to understand the concept! Thanks for watching Henrik

  • @bawadevau
    @bawadevau 11 месяцев назад +2

    Very good...thanks...

  • @jannaukoko3390
    @jannaukoko3390 3 месяца назад +1

    Beautiful content!

    • @RoseUniversity
      @RoseUniversity  3 месяца назад +2

      Thanks so much for the support and appreciation!

  • @jakezhenry007
    @jakezhenry007 Год назад +1

    They are both going at the same speed, however the red wheel only completes one revolution while the blue wheel completes two revolutions, in double time than it took for the red one. They are also the same size. Please correct me if I'm wrong.

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      You are correct! Thanks for supporting the channel and Roseuniversity.org

  • @JoshuaAmmon
    @JoshuaAmmon 2 года назад +1

    Fantastic explantation!

  • @rizwansakhawat5325
    @rizwansakhawat5325 3 месяца назад +1

    you defined everything explicitly

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      Thank you for your comment and encouragement!

  • @quratulainraza1415
    @quratulainraza1415 Год назад +2

    well explanation

    • @RoseUniversity
      @RoseUniversity  Год назад

      Thanks for supporting the channel and roseuniversity.org

  • @sanketsurve-u7h
    @sanketsurve-u7h 11 месяцев назад +1

    Really very informative 🎉

    • @RoseUniversity
      @RoseUniversity  11 месяцев назад

      Thanks for your comment and supporting the channel Sanket!

  • @valarmathiarumugam2
    @valarmathiarumugam2 3 месяца назад +1

    Thank you so much . Very Good explanation

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      Thank you for the appreciation! Your profile logo is very artsy!

  • @md.nahidulalamchowdhury9568
    @md.nahidulalamchowdhury9568 Год назад +1

    Thanks a lot for the clear explanation.

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Thanks for the appreciation and supporting the channel!

  • @pengyuzhang1179
    @pengyuzhang1179 Год назад +1

    amazing explaination , thank you Sir!!!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Keep watching! More to come. Thanks for support Learnability and Roseuniversity.org

  • @renukatharya7944
    @renukatharya7944 2 года назад +1

    Very interesting and informative video Thank You

  • @deepasinghal4729
    @deepasinghal4729 5 месяцев назад +1

    Loveeee it. God, finally I understand the practical of sine, yayyyy. Bless you

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад +1

      Thanks so much for the appreciation and supporting roseuniversity.org

  • @pksivanantham
    @pksivanantham Год назад +1

    Thanks for the detailed explanation 👍

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Glad it was helpful! Let us know if you're interested in other topics. Thanks

  • @shanemxwilliams2
    @shanemxwilliams2 Год назад +1

    They are the same size Ferris wheel, but the blue one is faster! (I hope) Either way, hats off for this exaplanation. It was well worth the RUclips digging through a few other videos to find this one. This is going to help me so much. Thank you, thank you, thank you!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Hi Shane, thanks for the appreciation! Take another look at the horizontal (x) axis of both plots and you'll realize that they are rotating at the same speed!

  • @yousefsalman6762
    @yousefsalman6762 2 года назад +2

    You are the best

  • @program-with-mubarak
    @program-with-mubarak 11 месяцев назад +1

    Make more explanatory videos like this thank ❤❤❤❤❤❤

    • @RoseUniversity
      @RoseUniversity  11 месяцев назад

      Will do! Thanks for supporting us!

  • @sanketsurve-u7h
    @sanketsurve-u7h 7 месяцев назад +1

    NEP authorities should watch this video & do necessary changes. Gr8 explanation sir.

    • @RoseUniversity
      @RoseUniversity  7 месяцев назад

      Thanks! Who is NEP?

    • @sanketsurve-u7h
      @sanketsurve-u7h 7 месяцев назад

      @@RoseUniversity National Education Policy(NEP) under the Central Government in India.

  • @MiG-25IsGOAT
    @MiG-25IsGOAT 5 месяцев назад

    World's most underrated video on youtube.

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад

      Thanks for the appreciation and supporting the channel!

  • @tenwalls2428
    @tenwalls2428 Год назад +1

    Wow. Just wow. Thanks!

  • @shuvadeepsil2513
    @shuvadeepsil2513 3 месяца назад +1

    that was an amazing explanation sir

    • @RoseUniversity
      @RoseUniversity  3 месяца назад +1

      Thanks so much for the appreciation and support!

  • @SumateendraJoshi-dg3fq
    @SumateendraJoshi-dg3fq 7 месяцев назад +1

    Since there is no increase in strecth, means both the peak values are same, the red and blue Giant Wheels have same size. If we observe the both figures, both the giant wheels complete 1 cycle in 20 mins so they have same time period.

    • @RoseUniversity
      @RoseUniversity  7 месяцев назад

      Correct! Thanks for supporting the channel

  • @bj73store95
    @bj73store95 Год назад +1

    just awesome...but why so few videos?..please do upload more video on math, physics....

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      We are working on it! Please check out RoseUniversity.org Thanks for supporting the channel!

  • @Adarsh_amd
    @Adarsh_amd Год назад +1

    Really great demonstration, just wondering how the half chord relates to the wave waving?

    • @RoseUniversity
      @RoseUniversity  Год назад +2

      Hi Adarsh, Thanks. So if you draw parallel chords in a circle (and then just look at half chords), you'll notice that their lengths from smallest to largest (when its actually the diameter or passes through the center) and back to smallest is simply the amplitude of the Sine wave varying as it starts from time 0 ... Hope this helps!

    • @Adarsh_amd
      @Adarsh_amd Год назад +1

      @@RoseUniversity ah yes, it makes sense now thank you too!

  • @curtismcdonald6461
    @curtismcdonald6461 Год назад +1

    Excellent explanation! 😃👍

  • @vinialves12362
    @vinialves12362 8 месяцев назад +1

    You got me with the final question. I didn't pay much attention to the axis information.

    • @RoseUniversity
      @RoseUniversity  8 месяцев назад +1

      haha! Just making sure you notice the axis, you got it! Thanks for supporting Rose University!

  • @BetterLife-ip3cn
    @BetterLife-ip3cn 7 месяцев назад +1

    As per my understanding I am thinking of the vertical motion of the Red square moving through time in the horizontal direction and then tracking the movement of the square that will produce a sine wave

    • @RoseUniversity
      @RoseUniversity  7 месяцев назад

      You got it!

    • @gislemyrseth4761
      @gislemyrseth4761 2 месяца назад

      I'm trying to understand. I believed that the sine-function resulted in values on the vertical axis (Y-axis)?. And therefore the "red square" (plotted sin(x) - values?) should not rotate but go up and down the y-axis as the wheel rotate. (In the same manner as the red dot movement looks like from the side (1. dim)?
      And then this up-down movement on the y-axis is streched out in time to get the sine-curve as a function of time? But I may be on deep (wavy..) water here....

  • @shivam2730
    @shivam2730 5 месяцев назад +1

    Ancient vedic India 🇮🇳 is incredible 😊😊😊

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад

      Thank you for supporting the channel!

  • @sudipbosu8787
    @sudipbosu8787 7 месяцев назад +1

    Thank you very much! ❤

  • @MohammadBenSalamah
    @MohammadBenSalamah 2 года назад +1

    Excellent!

  • @theoryandapplication7197
    @theoryandapplication7197 4 месяца назад +1

    thank you very much, it is useful and informative video

    • @RoseUniversity
      @RoseUniversity  4 месяца назад

      Thanks for the appreciation and supporting the channel!

  • @fotoyartefotoyarte1044
    @fotoyartefotoyarte1044 Год назад +1

    amazing, just one thing: the name of the wave has to do with the concept sine from geometry; I think not explaining that and only explaining the origin of the word will confuse some. Otherwise a fantastic fantastic video. Thanks a lot!

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Hi, thanks for your suggestion and supporting the channel!

  • @Tancastic
    @Tancastic 2 месяца назад

    i mean what how simply you made it understand loved it man !

  • @kalashwe
    @kalashwe 3 месяца назад +2

    Very helpful me

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      Glad it helped, thank you for supporting us!

  • @ayub365
    @ayub365 5 месяцев назад +1

    Which software used for this woderfull animation? Thanks a lot

    • @RoseUniversity
      @RoseUniversity  5 месяцев назад +1

      We used MATLAB for all our simulations. Thanks for supporting us!

  • @Oracle_Speaks
    @Oracle_Speaks 2 года назад +8

    same size and same speed

  • @pinakiroy174
    @pinakiroy174 Год назад +1

    Brilliant simply Brilliant

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Pinaki, thanks for the appreciation and supporting the channel!

  • @TomHendricksMusea
    @TomHendricksMusea 3 месяца назад +1

    Wave or Helix, a look at the Electromagnetic Wave
    The electromagnetic wave has both an electric field and a magnetic field. These are perpendicular to each other.
    The illustrations online for the electromagnetic spectrum show a range of wavelengths from radio to gamma waves. But the illustrations show waves, never a helix. So which are they?
    See my diagram. The electric wave is a vertical wave in red, and the magnetic wave is a horizontal wave in blue. They are perpendicular to each other.
    Next see any of the numerous animated RUclips videos on sine waves and cosine waves. Mapping a helix or moving circle or spiral with a sine wave and a cosine wave, shows exactly the same thing as my drawing.
    That seems to suggest that electromagnetic waves are not waves but helixes!!! This exactly fits a sine and cosine wave mapped as a helix , spiral, or moving circle.
    This seems so obvious, yet I've never seen an electromagnetic wave represented as a helix or spiral. Has anyone else?

    • @RoseUniversity
      @RoseUniversity  3 месяца назад +2

      Tom, once we make a video on light, you'll have a much better understanding and maybe get some answers to your curiosity. If you make a vector that adds magnetic and electric field, it behaves like a "helix". Please wait for
      our video on Light. Your curiosity and questioning is right on track! That's what the world needs to get answers to understanding nature!

    • @TomHendricksMusea
      @TomHendricksMusea 3 месяца назад +1

      @@RoseUniversity Thanks, Responses have led me to circular polarization, which in turn led to a study on how microwaves affect electrons, which suggests this may connect up with constructive and destructive interference in charged particles, which connects up electrons and positrons...

    • @RoseUniversity
      @RoseUniversity  3 месяца назад

      @TomHendricksMusea Yes! Polarization is a crucial part of it!

  • @budekins542
    @budekins542 6 месяцев назад

    Superb explanation.

    • @RoseUniversity
      @RoseUniversity  6 месяцев назад

      Thank you and thanks for supporting us!

  • @MuhammadPakistani
    @MuhammadPakistani 2 года назад +1

    Very good explanation. Thanks.
    Can you please explain graphs of exponential functions and how can we explain related rates of change through graphs.
    dy/dt = dy/dx × dx/dt
    If you explain these I will be grateful and many students will be benefited with your work.

  • @mwerensteijn
    @mwerensteijn 2 года назад +1

    Thanks a lot!

  • @lilyx___
    @lilyx___ Год назад +1

    THANK YOU!!!

    • @RoseUniversity
      @RoseUniversity  Год назад

      You're welcome! Thank you as well for supporting the channel!

  • @amirmaths3793
    @amirmaths3793 Год назад +1

    Good ❤❤

    • @RoseUniversity
      @RoseUniversity  Год назад +1

      Thanks for supporting the channel and Roseuniversity.org