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I like it whenever a tutor introduces a topic by explaining whys instead of hows. Too many times students get lost in the mechanics of math before they appreciate the philosophy behind the actual concept
Matthew James How wrong am I saying that Speed and Frequency are the same thing? I mean s = d * t ^ -1 f = 1 * t ^ -1 They kinda represent the same but frequency has fixed value to determine its starting point so that it can be configured throughout all calculations whereas speed is to be calculated by anyone. E.g. I could count how many steps I do with respect to time and from there calculate the distance I traveled due to that time if I know how big my step is. But this can be calculated using frequency I do x steps per time. It's just my thinking so i might be wrong... but could anyone give me some feedback on this?
Matthew, Maybe 50%, give or take a little. You'd forgive a non-English speaker for confusing them. I'm not going to argue if you said 30% wrong. Nor with 72.683%, though that would be worth an eye-roll, wouldn't it? By common convention, speed is usually distance per unit of time, frequency is occurence of an event per unit of time. That's only conversational; if you needed more certainty you'd shoot for more detail and precision. They're related, but not "the same" and they're not really things, are they?
I found fourier series and other related videos to be under electrical engineering on Khan Academy if any one else struggled to find where it is as well
Whatbhebsays at 4:50 isnt necessarily true...even if coefficney a1 is bigger than a2, it depends on the value of cos t versus cosine 2t to determine which aue is bigger..if the value of cosine 2t is bigger than cosine t for example, then even if a2 is smaller than a1, that term could be bigger.
@@leif1075 He means in a general sense. The max value for cos(t) and cos(2t) is going to be 1. However if a1 is 1000 and a2 is 0.1, you can see how the cos(2t) term plays almost no part.
hence the reason why I left my third choice for a specialization, blank instead of filling it in with electrical engineering... it is amazing how much of what was incomprehensible back then, makes perfect sense now.. after all, I think the benefit of hindsight and the amount of time to revisit such topics has its place in revision
Thank you like always! In Method for identifying fishigressel trajectory characteristics involvs Fourier serias so in this section I have seen all we need and how the Method is started.The model of utilized the ~Fourier serias~ and ~Gaussian mixture clustering~ to adress the complexity and uncertain issue in exp. fishing vessel trajectoriest. It is good how you mention derivation! Thank you another time because in this workout we see path of project ing onto the complex and introducting the Fourier transform, the complex trajectories and trajectories that are given regular and predipredictable. For exp. in Safety of navigation by implying maritime civil engineering. GREAT AS ALWAYS
I search out this series of videos on Fourier series. Today's engineering must have knowledge. Before on board, it is better have knowledge of wave and complex number.
Folks at Khan; if someone wants to learn Fourier series, it is very difficult to find the right sequence of videos to go thru, with exception of the video labeled "introduction to Fourier" I struggled to follow from one video to another, also finding the sequence on the IOS app is so difficult as I couldn't find the player list itself
I am interested in Fourier series, Laplace Transform, Differential equations. And I have read "Advanced Engineering Mathematics" by Erwin Kreyszig. Could you recommend some other good books to study those mentioned above.
I’m having a hard time understanding this concept, even thought I can see it’s explained very well. What fundamental concepts do I need to master before I can understand this? Thank you.
Any idea why Sal represent a sub 0 with a 1/2pi? As far as i know....the a sub zero in the fourier series has a 1/2....so shouldn't a sub zero contain 1/pi instead?
a sub zero doesn't represent 1/2pi but a multiple of it(By using the formula of the average value of a function). He said that it is calculated by taking the average value of a function in a given interval( which is the period of the function over here). Intuitively, I feel that it gives an approximate height to the fourier transform of the function.
Can someone explain why the Fourier transform of the cosine and sine functions results in two impulses? Why do these two frequencies have infinite importance rather than just the same 'weight' as the breadth of the original function? Sorry for my bad English, I'm Italian.
I don't think it is, since for example the summation includes a1(cost)+a2(cos2t)+... That coefficient in front of the t changes the period (similar for the sine terms). He mentions this at 2:38. Sorry if that wasn't what you were asking
Hello Sal sir. I am Shouharda Ghosh from Kolkata. Why dont you come to our school DPS ruby Park? It would be a good experience for both the students and you as well.
Yes that is true, it's also just that if for example a2 is much bigger than the rest, the cos function being multiplied by the a2 will also be dominant and so it's frequency be more dominant than the other cos frequencies.
What do you mean "impact"? Fourier transforms can do many things to images. Google the field of "image processing" and find out for yourself. It can't be covered in a single video.
i don't understand any of khan academy's videos because they don't explain or include introductions to each video. also they talk too fast. like they speak up for themselves and not learners...
this isnt actually a 'function' cause you display one t to multiple values - fucntion is displaying exactly one t/x... to exactly one y/f(t)/f(x) - so you cant get two values for one variable. Lets say you have f(x) = x and you displayed two values for one x - for example x = 5 and you displayed both f(x) as 5 and -5 ...
I like it whenever a tutor introduces a topic by explaining whys instead of hows. Too many times students get lost in the mechanics of math before they appreciate the philosophy behind the actual concept
my lecturer spends too much time with the "why" and that's WHY I am here right now
so true@@domo5314
I've been waiting for a Khan academy video on the Fourier series for ages! so excited!
studying frequency no longer hertz
witty.
Matthew James
How wrong am I saying that Speed and Frequency are the same thing?
I mean
s = d * t ^ -1
f = 1 * t ^ -1
They kinda represent the same but frequency has fixed value to determine its starting point so that it can be configured throughout all calculations whereas speed is to be calculated by anyone.
E.g. I could count how many steps I do with respect to time and from there calculate the distance I traveled due to that time if I know how big my step is. But this can be calculated using frequency I do x steps per time.
It's just my thinking so i might be wrong... but could anyone give me some feedback on this?
Najj,
Witty?
Only if he's said it twice.
Matthew,
Maybe 50%, give or take a little. You'd forgive a non-English speaker for confusing them. I'm not going to argue if you said 30% wrong. Nor with 72.683%, though that would be worth an eye-roll, wouldn't it?
By common convention, speed is usually distance per unit of time, frequency is occurence of an event per unit of time. That's only conversational; if you needed more certainty you'd shoot for more detail and precision.
They're related, but not "the same" and they're not really things, are they?
speed equals lambda * frequency :)
I came from the electrical engineering playlist. This should be about the 80th video. Its very relieving to hear your voice
WOW! Cool intro to FS! I like your explanation of coefficients as "weights" to determine how much SIN and COS. ❤ 😊 Thanx!
I found fourier series and other related videos to be under electrical engineering on Khan Academy if any one else struggled to find where it is as well
thank you
Thanks so much
Whatbhebsays at 4:50 isnt necessarily true...even if coefficney a1 is bigger than a2, it depends on the value of cos t versus cosine 2t to determine which aue is bigger..if the value of cosine 2t is bigger than cosine t for example, then even if a2 is smaller than a1, that term could be bigger.
@@leif1075 He means in a general sense. The max value for cos(t) and cos(2t) is going to be 1. However if a1 is 1000 and a2 is 0.1, you can see how the cos(2t) term plays almost no part.
hence the reason why I left my third choice for a specialization, blank instead of filling it in with electrical engineering... it is amazing how much of what was incomprehensible back then, makes perfect sense now.. after all, I think the benefit of hindsight and the amount of time to revisit such topics has its place in revision
This should be added to the calculus playlist. It can be a part of solving ordinary differential equations
Thank you like always!
In Method for identifying fishigressel trajectory characteristics involvs Fourier serias so in this section I have seen all we need and how the Method is started.The model of utilized the ~Fourier serias~ and ~Gaussian mixture clustering~ to adress the complexity and uncertain issue in exp. fishing vessel trajectoriest. It is good how you mention derivation! Thank you another time because in this workout we see path of project ing onto the complex and introducting the Fourier transform, the complex trajectories and trajectories that are given regular and predipredictable. For exp. in Safety of navigation by implying maritime civil engineering.
GREAT AS ALWAYS
Make this a playlist or at least add a link of next video in the description/comments. Enjoying Fourier series for the first time.
very nice clear , practical approach explanation
Can't wait for next video.
It is really useful topic and extremely useful in science and engineering. Periodic signals gives a discrete frequency domain.
greatly explained, well done!
this video is 3 semesters late :(
fam think of it this way, you were 3 semesters early ;)
I love how you did a very understandable intro
Still can't understand, what am i missing?
I search out this series of videos on Fourier series. Today's engineering must have knowledge. Before on board, it is better have knowledge of wave and complex number.
Nice one use of rectangular one sided pulse simplifies things a bit in calculation
Excellent video!
Thank you sir, I'm grateful
Thank you!!! Really helpful introduction
Nice to know Fourier series.
Will this be put into a playlist?
That's the most amazing way of elaboration ❤❤
Very helpful video nice explanation
Good introduction. Kudos !!!
greatly explained
Folks at Khan; if someone wants to learn Fourier series, it is very difficult to find the right sequence of videos to go thru, with exception of the video labeled "introduction to Fourier" I struggled to follow from one video to another, also finding the sequence on the IOS app is so difficult as I couldn't find the player list itself
I'm a medical student with engineering content as part of my course work-System Dynamics
Hey good for you 👍
nice thanks for the info
Thanks need to relearn fourier series for my solid state physics class
sir please tell me why we cannot find the stability of system with the help of fourier transform ?
Why can't i find this video on the Khan academy page?
is there a series for fourier transform?
Awesome video
i hope there will be a proof of convergence of fourier series.
excellent thank you
I am interested in Fourier series, Laplace Transform, Differential equations.
And I have read "Advanced Engineering Mathematics" by Erwin Kreyszig.
Could you recommend some other good books to study those mentioned above.
Kreyszig is really bad for learning almost any topic at all as a beginner. K.A Stroud or John Bird is better.
Can we put these in a playlist?
I’m having a hard time understanding this concept, even thought I can see it’s explained very well. What fundamental concepts do I need to master before I can understand this? Thank you.
integration and differentiation i think
Same
Im missing something?!
I would suggest you learn Taylor Series. It´s not necessary, but I believe it would help. 3b1b has a video on it
learn the Laplace transform
I know this maybe too late, and that this question may seem stupid, but please have mercy on me. Why do you use pi instead of normal integers?
Does first signal have half-wave symmetry?
How is this lecture related to the concept of fourier transform?
Any idea why Sal represent a sub 0 with a 1/2pi? As far as i know....the a sub zero in the fourier series has a 1/2....so shouldn't a sub zero contain 1/pi instead?
a sub zero doesn't represent 1/2pi but a multiple of it(By using the formula of the average value of a function). He said that it is calculated by taking the average value of a function in a given interval( which is the period of the function over here). Intuitively, I feel that it gives an approximate height to the fourier transform of the function.
Can someone explain why the Fourier transform of the cosine and sine functions results in two impulses? Why do these two frequencies have infinite importance rather than just the same 'weight' as the breadth of the original function? Sorry for my bad English, I'm Italian.
same here but it would be help ful
i don’t agree with you when you sat a0 a1 a2… b1, b2… quantify the frequency
I think it’s rather the amplitude that they define
give Fourier transform video
Necesito saber cuales son los vídeos siguientes en orden por favor
si
Why is John Mayer working for the Khan Academy?
hello, your video are really help full thank you, but can you plz solve this question f(x)={2 if -2
Some people use a0/2 not a0
first day at my Uni of learning Fourier Transforms and I accidentally proved zeta(4)=pi^4/90!!!!
lol this vid teach me more than lect did
INTERESTING
Can I ask why is the period the same in all the terms within the summation, regardless of An and Bn?
I don't think it is, since for example the summation includes a1(cost)+a2(cos2t)+... That coefficient in front of the t changes the period (similar for the sine terms). He mentions this at 2:38. Sorry if that wasn't what you were asking
@@sillystrings ahh right, thank you!
Thanks
Hello Sal sir. I am Shouharda Ghosh from Kolkata. Why dont you come to our school DPS ruby Park? It would be a good experience for both the students and you as well.
Lol ok
@kobetutors has a great example of this!
dear why you dont explain fourier series
Could anyone help me to get information about the electronic gadget used in this lecture?
CRO, CATHODE RAY OSCLOSCOPE
I dont get anything
Go watch this first: czcams.com/video/ds0cmAV-Yek/video.html
It's so hard to understand😭
Make the full video please
Ull find it in the Khan academy app or website.
But isnt that change a1 or a2 or a3 = change of the amplitude of the wave?
why is it a change of frequency?? help...
Yes that is true, it's also just that if for example a2 is much bigger than the rest, the cos function being multiplied by the a2 will also be dominant and so it's frequency be more dominant than the other cos frequencies.
@@xZak-A-42 cheers
Is this in electrical engineering and mechanical engineering
Tq
Hello fellow engineers
we meet again
link to course
www.khanacademy.org/science/electrical-engineering/ee-signals
What is the impact on image if we apply fourier transform. Explain and its aplication
What do you mean "impact"? Fourier transforms can do many things to images. Google the field of "image processing" and find out for yourself. It can't be covered in a single video.
Ahhhh Oluwaaa
why he sounds like my prof... XD
because he is
Ahmed Al Mashani
cool
who tf asked those scientists to take interests in these cursed things? T.T
I don't understand any of it
first
2pai shakui
111
Yo
second
I didn't like the intro to be frank I felt like smg is missing
حد عربي هنا 😂😂😂😂😂😂😂 دفعه ٢٤
i don't understand any of khan academy's videos because they don't explain or include introductions to each video. also they talk too fast. like they speak up for themselves and not learners...
Why must all CZcams vids open with an extraneous "so."?
Any geeks here to pass just the xam
this isnt actually a 'function' cause you display one t to multiple values - fucntion is displaying exactly one t/x... to exactly one y/f(t)/f(x) - so you cant get two values for one variable.
Lets say you have f(x) = x and you displayed two values for one x - for example x = 5 and you displayed both f(x) as 5 and -5 ...
bakwas video
bad presentation
@MrBeast