What is the meaning of Greek symbols | Delta, del, d | Greek letters in mathematics | Greek symbols
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- เผยแพร่เมื่อ 15 ต.ค. 2024
- #greeksymbols #differentialoperators #greeklettersinmathematics
Do you know what are these Greek alphabets ?Δ, 𝜹, 𝒅, 𝝏
Do you know what are the differences between Δ, 𝜹, 𝒅, 𝝏
Do you know that they are not all Greek all alphabets ?
In this video, I have explained what those Greek alphabets mean. I have explained with a simple example, the meaning of those alphabets? Is there any difference between them? Are they all used in calculus or differential equations substituting each other? Definitely, there are differences. Also, in chemistry what do those letters mean?
Watch out for this video where are those Greek alphabets are carefully examined along with simple examples. I have given the origin and the root of those Greek alphabets, with their internal meanings and which one is used when. It is important for us to know really what those letters mean and how and when they are used.
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#whatisΔ #whatis𝜹 #whatis𝒅 #whatis𝝏
#greekletter #whatisthedifferencebetweendeltadeld #greekalphabets #whatisdeltainphysics #whatisdelinphysics #whatisΔ #whatis𝜹 #whatis𝒅 #whatis𝝏 #calculus #partialdifferentiation #greeklettersusedinmathematics #greeklettersandtheirusage
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I first fell in love with the Greek alphabet when I was 6 years old after I saw it in a dictionary. I told Mommy and Daddy all about it. Daddy then called his big sister, my aunt Susan. Susan then talked to me on the phone and told me that her evil abusive husband, my uncle Scott, knows all about the Greek alphabet. And when I went to church, Scott got out a piece of paper and wrote the Greek alphabet from alpha to omega and gave it to me. He told me that the Greek alphabet is used in mathematics and science. When I went to school the next day, I began writing the Greek alphabet in my math book and my teacher demanded, "Hannah, what is all this nonsense?" And then I said, "it's the Greek alphabet. My uncle said that it's used in mathematics and science." And then, my teacher said, "Hannah, you are in the 1st grade. Why is your uncle trying to move you up to college? And this is 1st grade math, not college math." When I got home, I even taught my little brothers, Joseph, Seth, and Zach, all about the Greek alphabet. They were 3, 1, and a baby. I am 25 years old now and Joseph, Seth, and Zach, are now all 22, 20, and 19. I have three other brothers Jed, Isaiah, and Jeremiah. They are 17, 15, and 13. Susan and Scott are still married, but Scott lives far away because he is physically violent and abusive towards his wife and children.
Thank you very much for your wonderful narration. Indeed I can understand your love for Greek alphabet. I am glad that you have watched my video and went nostalgic reminiscing your old days. It is very rare to find someone who has immense love for Greek alphabets.
Thank you very much and please do subscribe to my channel and share my videos.
@Myscher Thank you
@Myscher Thank you. For any assistance please write to me at editor@physicsforstudents.com
Keep an eye on this channel as I am trying to bring more interesting videos.
Thwbj you again.
sad..
Poor scott
Your videos are experimental and ingenious sir. Never came across such brilliant topics which are a source of knowledge for the students of every stream😀☺
Thank you for your wonderful comments. Keep watching for more.
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I see this a lot in Geophysics textbooks 📚. Thanks for explaining 👍
You are welcome.
You are really doing very great , Mr. Shaunak ❤👍💐🍀. I'm wishing heartful blessings every student who come to learn here. They eventually will know about you how brilliant you are and how you are shaping their knowledge to great extent to achieve them a bright future. Best wishes for all. ❤❤💐🍀
Thank you very much. Your wishes and cooperation always motivates me. Thanks.
8:06 Δ(delta uppercase) as a Laplace-Beltrami operator
LaTeX:
1. Uppercase Delta (Δ): $\delta$ | greek symbol
2. Lowercase delta (δ): $\Delta$ | greek symbol
3. D (d): $d$
4. Curly d (∂): \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} | cyrillic alphabet.
summary: 32:55
usage:
Δ: used on vector calculus for:
1. *vector operator* : (∇f = ∂f/∂x i + ∂f/∂y j + ∂f/∂z k).
2. *the rotational* : ∇ × F = (∂Fz/∂y - ∂Fy/∂z) i + (∂Fx/∂z - ∂Fz/∂x) j + (∂Fy/∂x - ∂Fx/∂y) k
3. *divergence* : ∇ · F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z
etc: Line Integral, Stoke's Theorem, ...
also for movement in physics I
δ: ?
d: used on calculus I all the time
∂: used for partial derivatives . used on calculus II
Yes, right.
brilliant video, i never knew where this curly d comes from, i am grateful that somebody covered that topic in so much detail, thanks!
Thank you very much for watching. I am really touched by your words. Stay tuned to this channel. You can also look into my other channel and subscribe.
www.youtube.com/@generalrelativityexplained
Thanks for your motivating words.
Do you ever consider making more videos on notation misuses and also on abuses of mathematical writing?
I am very much interested in learning correct usage of notations and in proper mathematical writing.
This is a very interesting point. I have never thought about that. Interesting point. Let me think. I was planning to make videos on all the symbols used in mathematics but.... I am currently working on making a video on topology. Next in my list are vectors.....
Let me think. It is a very good point. Thank you for bringing this idea.
What do you mean by abuses of mathematical writing? Please elaborate.
Physics for Students- Unleash your power!! Few months ago, I bought few math books by Lara Alcock. She first brought my attention to notation abuses and bad mathematical writing. I am only an intermediate in mathematics and a novice in physics. I am not too knowledgeable when it comes to notations.
Add. I am confused about barred arrow and double-headed arrow as those used in commutative diagrams. Also, I don't understand what an arrow with dashes means.
@@pinklady7184 I wish I could dedicate my entire life creating videos and get wonderful subscribers like you. Email me with screenshots of the arrows that you are telling: shounakbhattacharyab@gmail.com
I will make you understand.
Visit my website to know more;
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You can submit your articles, scientific writings here. Free!
We will peer review and publish.
Please make more videos on mathematical symbols and notation and their meanings and use in mathematics and real life.
Thank you for your service.
You are welcome. Thank you for your valuable comments. Please stay tuned as I am coming up with more videos.
@27:43 for the equation for del z. in the bottom left, I think there should be a curly dee for y in the denominator, since there is a curly dee for x in the denominator...
I will check. Thank you for pointing out.
Thank you for the video! This cleared up a lot of confusion I had, although I have one slight question.
How is the curly d "∂" traditionally pronounced? I've seen it called by many names. Often times, ∂f/∂x is pronounced simply as "the partial derivative of F with respect to x" but I'd like to know if there's another name. Similar to how dy/dx is pronounced as "dee y dee x" , would ∂f/dx be pronounced as "del f del x" ? I know that "del" is often used to refer to nabla ∇ which is a different concept. Thank you!
What you have written is perfect. Partial derivative of x with respect to partial derivative of y. Yes, you can call it del x or dee x by dee y. Well, Nabla is the inverted pyramid type. It is mostly used as a gradient operator. Thank you for your wonderful comment.
Thank you so much sir .. your genius…finally I got to know what is Delta , d,
Thank you. Please check out my other videos also.
Sir why we use script sign in mathematics , Statistics , Mathematical physics as well ?
Can you discuss a bit which script sign define what in mathematics , physics & Statistics as well .
Script sign means ? You are saying indices ?
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Hello sir,
I like this video, it's very intersting and very clear.
I think, some mistakes at 29:45 ....dv/dr = is dv/dh ( the second derivative) and dv = +pir^2. dh without h !
thanks for your wonderful explanation.
I will look into it but thank you for pointing out the mistake. I am always learning. Please subscribe as I am trying to bring out more interesting videos.
Very clear. You explain well. I am subscribing.
Thank you very much for subscribing. Keep watching. I will be posting more interesting videos.
Thank you. I will never stagnate 😃
It's akin to pouring water into a large bucket 🪣 with a large hole in it.
Ans. Immersion
First time understand it properly
Thank you Sir. Thank you very much for your comments. Wish you a Happy New year ❤️❤️🎈🎉 2022
These are very good videos, but make them with a dark background so they are easy on the eyes.
That is a nice suggestion. Thank you very much.
Thank you so much man. I feel there’s too many professors who forget to mention the different between that delta x and dx. They say it’s the same meaning which it is in a way but do not include the actual difference
Thank you very much. In this channel, I am trying to bring out those subtle differences which are either a misconception or not taught. Thank you very much for your comment.
Plz sir Hindi mein bhi video banaie plz sir bahut achha aur useful hai
Thanks. I cannot speak Hindi. I can read and write.
This video is very much informative .
Good stuff! Thanks
Welcome.
How wonderful explanation!!
Thank you very much for your comments.
You can also visit my website
www.physicsforstudents.com
wonderful explanation 😊
Thank you very much. I am glad that you liked it.
What does it mean to be constant in time? Does this mean that the smallest lengths of time do not change?..
X=v.t=f(v,t)
6(v,t) /6v = t
is it true ?
Something occurred to me.. If the universe is expanding, could the smallest units of time be lengthening?..If this is true, the change in time is not constant..So 6(v,t) / 6v is a photo in a video?..I'm very confused .
Inflation of the Universe is something different.
Very informative video sir.
Thank you. I am coming up with more such videos
Thank-you!
Welcome
Excellent! Maths can be very very interesting even for ateacher
Thank you. Good to know that you are a mathematics teacher. Thank you for watching my video ☺️☺️
I am not a maths teacher but taught Engineering for over 35 years. Thanks again.
@@bishwajitbhattacharjee8068 Great !! My father is also a metallurgical engineer from IIT Kanpur.
At 6:27 the /hr should be removed from distance 90 km/hr. Distance should be only 90 km. Otherwise the answer 30 km would be incorrect, it would be 270 km.
You are right
Cool !!!
Thanks.
Top class❤
Greek were master of science
what is pronounciation of cyrilic alphabet d?
Like the pronounciation of 'd' in 'door'.
As good as always
At pt 6:31 it should be 90 km/hrs times 3 hrs =270 kms
You are right. Thanks for pointing out that.
Dear Sir, great explanation...!!
Sir, could you please make a video on one more basic concept related to "Vectors" and "Vector Space". For the first time we come across vector in high school when study about velocity, force and acceleration etc. but in higher studies when we come across the term called Vector Space then it creates some confusion like difference between them and a vector space can have even a polynomial, function and other structure also as its elements.
If your time permits, please explain it...
Thank you for watching this video. Vector and vector space..... I think, I already have. Let me check. I will send you the link. Do you have Topology and differential geometry in your studies?
Here is the video on vector space
th-cam.com/video/ACdU40fm_CE/w-d-xo.html
You can find a lot of vector operations in this playlist.
@@physicsforstudents thank you sir, yes, I have topology
@@1234569312 So, you are a student of master in mathematics?
I am coming up with a new video on Topology.
Distance=90km/hr
It's just a mistake ryt.. I'm not that bright of a student so not sure just askin
You are absolutely right. Thank you for pointing out.
Why we can't replace d with ∆d in physics?
The answer is there in the video, d is a very, very, very small way of differentiation whereas, delta d is a significantly bigger way of differentiation
Thank you so much sir. You have solved my biggest confusion. You are doing an excellent job. I am subscribing
@@ShoukatAli-py5cv Thank you very much for your appreciation. Watch my other videos. I also have a website. Please look into it www.physicsforstudents.com
The triangle symbol is used to denote the laplacian
at 29:38, should it be ∂V/∂h = πr² ?
You are correct.
Thank you
Thank you Humpty Dumpty.(*)
H.D.: "When I use a word it means exactly what I want it to mean,. - neither more nor less."
Alice: "That's silly."
When we go from perceptible to imperceptible we change our gear from rigorous to just philosophy, the only question which ever is going to be answer is how close we get near to zero ∆x goes. And that I am afraid is so abstract that no one ever gets closer to zero ever. We are still perplexed by zenno's paradox we all know it to be untrue.
That is a very insightful comment. Thank you very much.
@ 6:41 Shouldn’t d simply be 90 km not 90km/hr
You are right. I hope you enjoyed the overall video.
I think dx doesn't represent a distinct quantity; it represents a continuous entity
In calculus, "dx" is a notation used to represent an infinitesimally small change in the independent variable, typically the variable of integration or differentiation. It is often seen in integrals and differentials.
You forgot epsilon.
Yes, you are right.
👍👍👍👍👍👍
👍
Thank you
I think you confuse the words "letter" and "alphabet"
Sir, please use a laser pointer instead of telling to look at a particular part of screen.
That is a good suggestion. Thanks.
in - fin - nih (as in nip) - tesimal (sounds like decimal but with a "t"). NOT in-figh-night-simial. Hope that helps :) OR GO TO: th-cam.com/video/maMkc0ZQjU8/w-d-xo.html
Thank you very much for correcting my pronounciation.
No problem, I saw you struggled a bit with that one and I know the feeling. Your English is excellent btw and I really benefited from watching your video, thank you very much indeed! :)@@physicsforstudents
That's wonderful. Your words motivated me. I also teach communicative English. Stay tuned as I am coming up with more such interesting videos. Thanks a lot.
You explain too slow.
The four symbols should be labeled, before explaining concepts that have no specific reference.
This is not the Russian alphabet ignorant, it is the Slavic alphabet that emerged from the Bulgarian brothers Cyril and Methodius. Slavic culture is not Russian culture, ok?
Terriable reference.
I am here to just reveal that the letters have no meaning by themselves
You spend waaaay too much time talking about the Greek alphabet... just get to it please
An interesting topic, but extremely sorry to say that it was a poor presentation - mostly because of English. A lot of confusion in expressions makes it difficult to comprehend, at places, what is what and why something is what??? A kind of weird - uncanny, started headache listening to repeatitive and overlapping statements
Thank you for the comment. I will try to improve on this.
Seems like I’ve been writing 𝜕 all the time when I was young because I kept writing 6 backwards 😂
Yes, we used it in our school 🏫 days. Here I explained the meaning.