What is the meaning of Greek symbols | Delta, del, d | Greek letters in mathematics | Greek symbols

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#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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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

neetKisser
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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😀☺

tanushreesrivastav
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@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...

sdsa
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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. ❤❤💐🍀

mathematicswithmetsphysics
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I see this a lot in Geophysics textbooks 📚. Thanks for explaining 👍

moyndebs
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brilliant video, i never knew where this curly d comes from, i am grateful that somebody covered that topic in so much detail, thanks!

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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.

jbouguechal
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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.

hannahduggan
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Thank you. I will never stagnate 😃
It's akin to pouring water into a large bucket 🪣 with a large hole in it.
Ans. Immersion

Perrydog
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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.

pinklady
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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 .

abhirupmoitra
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Thank you so much sir .. your genius…finally I got to know what is Delta, d,

kannanarjun
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Please make more videos on mathematical symbols and notation and their meanings and use in mathematics and real life.
Thank you for your service.

Shashank_Shahi
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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.

btruj
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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

robertjr
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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!

emilianorosario
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At pt 6:31 it should be 90 km/hrs times 3 hrs =270 kms

georgeorourke
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Very clear. You explain well. I am subscribing.

pinklady
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These are very good videos, but make them with a dark background so they are easy on the eyes.

whatever
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Sir plz makes videos too in hindi language

khushbokumari
visit shbcf.ru