I've seen this formula in secondary school when we studied logarithms but I never knew that it will be there in physics' second year somewhere with the vibrant strings... Thank you so much for the service, sir.
Nice trick to think of the distance between units on a log scale. The geometric mean idea just comes from taking the halfway point between log values like this: log(x) = [log(2) +log(3)]/2. Doing the math, you get x = sqrt(2*3), as used in this video. You can get any value along a log scale by doing regular linear interpolation, while logging any value that should show up on that scale. A more general formula might be x*=x1(x2/x1)^n, where x* is the actual value at a fraction of n between x1 and x2 (n is the fraction you visually see on the log scale, so like 0.5 in this video).
Thank you so much for providing a calculation that is actually universally useful, instead of trick that only works sometimes. Your comment is far more valuable than the posted video.
@@nicolejacobs2052 Thank you! I'm glad this comment was useful. I think the video is beneficial for those who want just a quick rule of thumb when looking at log plots, but it leaves out the math details behind why it works and how to interpret other increments.
So i'm 3 minutes into this video and then i thought.... Jean-Claude Van Damme is teaching me about log scales... i can't get the image out of my head now!
Quick note, those are not equalities, they are approximations, at the last step when you provide the value of the square root in decimals. Very useful video overall, many thanks.
Thanks... It was very helpful. Before watching this, i also used to thought that the middle of two tickmark is the middle value of them... Now i can find out correctly
How do you select where to put the tick marks between the powers of ten? As in what do you use to determine the actual length of the divisions between the 10 and 100
A derivation would come from just logging the values used to linearly interpolate along the scale. So log(x) = [log(2) +log(3)]/2. Doing the math, you get x = sqrt(2*3).
@@patbassal That's true, but I found that a couple more steps makes it more intuitive. The distance from 1 to 2 is log(2), and from 1 to 3 is log(3). The distance to the halfway point in between those two is then [log(3) - log(2)]/2 + log(2) (The first term being the distance from 2 to the halfway point, and the second term being the distance from 1 to 2. Adding those two, you get the full distance to the halfway point.) This simplifies to [log(2) +log(3)]/2. Then you just take 10 to this number, and you get: sqrt(3*2) = sqrt(6). This can be generalized to any two numbers m & n (where n
@@1900maniac Yes, great explanation. I skipped explaining that step, but I completely agree with the adding of log(n), which is necessary for proper interpolation. I am curious about your thoughts of another comment I posted 4 months ago. I posted an equation that could be generally used for any distance (not just halfway) between m and n.
What this video showed for in 2 minutes made me understood what I couldn't in a lecture for 2 hours...
Exactly 🤷🏻♀️🤦🏻♀️
By 1:30 I already learned more than 4 articles and 2 vídeos i watched before. So simple. Thank you!
Great! Thanks for the comment!
Thanks man, never learned this when we had logs. Now at university I needed to read a logscale and I just couldn't get my head around it. Thanks!
Thanks a million! This video has made everything so clear to me!
Thanks so much for posting! Clear, concise, very helpful. Much appreciated!
I've seen this formula in secondary school when we studied logarithms but I never knew that it will be there in physics' second year somewhere with the vibrant strings... Thank you so much for the service, sir.
Being frustrated at around 11:30 PM, but so happy this video FINALLY explained this to me! Thanks!
As a Grade 5/Year 6 maths teacher, who is interested in the use of log scales in financial analysis, I thought this was an excellent explanation.
John Roycroft thank you!
This was an outstanding video demonstration. Thank you professor.
Mid point between 2 tick marks x & y on logarithmic scale is called "geometric mean" and to calculate it you take square root of (x × y)
This was so easy to understand, thank you for simplifying it so well.
Nice trick to think of the distance between units on a log scale. The geometric mean idea just comes from taking the halfway point between log values like this: log(x) = [log(2) +log(3)]/2. Doing the math, you get x = sqrt(2*3), as used in this video. You can get any value along a log scale by doing regular linear interpolation, while logging any value that should show up on that scale. A more general formula might be x*=x1(x2/x1)^n, where x* is the actual value at a fraction of n between x1 and x2 (n is the fraction you visually see on the log scale, so like 0.5 in this video).
Thank you so much for providing a calculation that is actually universally useful, instead of trick that only works sometimes. Your comment is far more valuable than the posted video.
@@nicolejacobs2052 Thank you! I'm glad this comment was useful. I think the video is beneficial for those who want just a quick rule of thumb when looking at log plots, but it leaves out the math details behind why it works and how to interpret other increments.
am i a genius or what? figured that on my own. delving into narcissism, forgive me fellow students xD
So i'm 3 minutes into this video and then i thought.... Jean-Claude Van Damme is teaching me about log scales... i can't get the image out of my head now!
Very nice explanation and so nice to hear etcetera pronounced correctly!
Thanks million times i could read before but had some confusion, and you cleared that confusion now
Great lecture..... Love from 🇮🇳..... U just solved my problem
Kakali Roy Thank you! Please share!
I can finally say I love log scale. I didn't understand it for many years.
You are my today hero! Thank you much. So simple and understandable compare yo others video in TH-cam :)
A great job friend!! Helped me a lot to read stats! Ty!
Thanks a lot! It becomes more clear difference between linear scale and normal scale;
Quick note, those are not equalities, they are approximations, at the last step when you provide the value of the square root in decimals. Very useful video overall, many thanks.
Very informative. thank you
So useful and easy to remember! Thank you so much!
THANK YOU FOR HELPING ME WITH MY PHYSICS PAPER I LOVE YOU
3.16 is should be at the middle because u said we cant look this graph linearly
Right! - midway between 1 and 10
Thank you so much! This was very helpful.
I really enjoyed this video. Reminded me of past days.
Thank you very much Sir...It really helped a lot 👍👍👍
This video is great! But how do I plot a point if I know the value? If I want to find where 13 is on the graph how do I find it?
Thank you so much for this video. It saved my day
Thanks... It was very helpful. Before watching this, i also used to thought that the middle of two tickmark is the middle value of them... Now i can find out correctly
I just want to say THANK YOU SO MUCH THIS ACTUALLY HELPED.... I have been trying to understand this for wayyyy too long
The explanation is superb 👌
Little ignorant things like these, can become so troublesome for lecturers. Thanks for sharing your knowledge.
how to find a random point on logarithmic x axis? we have used midpoint technique but what we gonna do now?
Very Helpful! Thank You!
The best explanation video on this topic.
Thanks! Glad it was helpful!
Nice and helpful explanation buddy
Simple and easy.. Love it!
Thank you! from Korea
Thanks Professor ❤
Hi~~ i’m korean. Your vedio helped me a lot !!
good video, explanation very good.
Great explaining
Very helpful! Thank you!
right to the point. Thank you.
Wowwwwwww, that is superb....
Very nice clear explanation that is easy to understand
Great video, really helpful and to the point.
Wow at age 60 learning the most clear explanation ever !
How do you select where to put the tick marks between the powers of ten? As in what do you use to determine the actual length of the divisions between the 10 and 100
Thank you so much sir 🥰🥰
Straight to the point.
Thank you! This meant a lot for mw
Very good explanation. Thanks!
Brilliant explanation! Thank you!
thanks man, love the explanation.. really help me to understand 😁😁
Glad it helped!
(3:20) how does the arithmetic go with a different base?
For example e-base?
Your a life saver
Thank you very much for clear explanation!
very nice video thank you so much, i get my concept clear
Very nice! Thank you very much. This is missing part from mine and the mathematics books.
Great video! Thanks! This Geometric Mean Equation. How is it derived? What does the geometric mean have to do with log?
A derivation would come from just logging the values used to linearly interpolate along the scale. So log(x) = [log(2) +log(3)]/2. Doing the math, you get x = sqrt(2*3).
@@patbassal That's true, but I found that a couple more steps makes it more intuitive.
The distance from 1 to 2 is log(2), and from 1 to 3 is log(3).
The distance to the halfway point in between those two is then [log(3) - log(2)]/2 + log(2)
(The first term being the distance from 2 to the halfway point, and the second term being the distance from 1 to 2. Adding those two, you get the full distance to the halfway point.)
This simplifies to [log(2) +log(3)]/2. Then you just take 10 to this number, and you get: sqrt(3*2) = sqrt(6).
This can be generalized to any two numbers m & n (where n
@@1900maniac Yes, great explanation. I skipped explaining that step, but I completely agree with the adding of log(n), which is necessary for proper interpolation. I am curious about your thoughts of another comment I posted 4 months ago. I posted an equation that could be generally used for any distance (not just halfway) between m and n.
How can I pick a point for the exact value that I want? like 1.5
How do you plot 0 on the semi log scale
Thank you very much ❤❤❤
Great video, I understand it perfectly now!
good shit bro,, thanks
Nooo! He is my Professor at SDSU.
@@kishorekumarshivaram4971 oh cool, what are you studying?
Thank you. This video helped lots
You really have saved me
was really helpful..Thank you so much
awsome explanation, thanks a lot!
Perfect! Thank you.
Nice explanation. thanks for the video.
Great job - thx for sharing.
Good video. Well done.
wow best explanation in youtube
Wow, thanks!
can you show how to read the hiesler charts theyre so confusing
thanks! That was really helpful
Love from India
Thank you so much.You gave me homework to send.
nice explaning thankyou
Thanks man 👍🏿
Very good video
Wow, easy when you know. Thanks so much!
Where are you from?
THANKS INTERESTING AND DESCRIPTIVE
Nice explanation
Name of the song ?
Thanks! Song = Misacurio, by Mar Picao
You are a boss bro!
Very nice advaice,thanks
Greaat video
you are a LEGEND
Thank you so much..
Thankyou so much ❤️❤️❤️
grt sir
Thank you for the video. It was clear and I learned the trick with the square root
Thanku Sir
Very clear, thanks!
Where lies the zero value and the negative values in the log scale?
can i share this video to my student