Now I understand that the math language also has a lot of dialects..

Math is like meth, once you start using it properly you can't stop it

π, ∆, °, %, ∠, ∮, Nabla, and many more, but still most of the topics covered

6:29 I can never see this the same after what my class has done to it.

3:18 Note for the logic symbols, it is also common to see negation as a line over a term, AND as multiplication, and OR as addition.

The most underrated math channel ever, even if you've already started blowing up

The transitions between the text and the symbols are really mesmerizing, almost satisfying lol I also learned about symbols that I have never ever used. Great video, keep it up!

you been really helpful till now , have a nice day man

Some other uses for specific symbols: 1:17 Can be used as a relation in set theory 3:14 Right symbol can be used for a discrete change 3:28 Exterior product/wedge product 3:32 Direct sum 4:28 Almost every blackboard bold letter is used somewhere. F and K are used for fields. Blame the Germans for that one. 4:52 I have seem ' used for practically anything. Inverse of an element, complement, you name it. 5:27 Curly d is used for the boundary of something. For example, it's one of a few ways of notating the boundary in topology. 5:53 There are many different kinds of integral and variations on the symbol. For example the path integral, notated with the usual symbol with a circle on top is the integral along a closed curve. 5:43 It is more commonly used to show what an element maps to as part of a function. 6:18 Please never use mathfrak if possible. This is a personal request. 6:21 Sometimes used to represent cosets. Maybe this was just my prof? Who knows. 7:17 It can sometimes be used for any arbitrary metric, although this drives me insane. 8:00 Also can just represent any geometric vector.

Instructions unclear, my brain is now in meth

#11 ~ can also mean (and is mainly used for) asymptoticity or arbitrary equivalence relations (as well as negation, but mostly by philosophers) #14-#17 can also be used for subgroups/subspaces/subalgebras #34 the \oplus also means, and is mainly used for, direct sums between two spaces #35 "R v ~R = T" you're setting yourself up for trouble with intuitionists lmao #49 the universal set famously doesn't exist, in case you've never heard of russell's paradox #57 "log without a subscript" is ambiguous, it depends on the surrounding discipline : in math it's usually base e (like ln), in physics it's usually base ten, and in cs it's usually base 2. #60-#61 they're more usually written Re() and Im() #62 can also be written with an * at the right side of the x, symbol which can also denote a dual space ; x̄ is also a common symbol for the average value #70 "... from on the number line" as well as in the complex plane, although it's usually called the 'modulus' there #81 damn, i've literally never seen that one ! i'd usually just write it (AB) at this point. do you have some sources that show this double combining double-ended arrow above thing being used ?

This brings joy to my heart. Thanks for making this video :D

Kinda funny and a bit strange how he didn't explain parentheses, certain numbers and values like π, φ, θ, ε and ω, trigonometric functions, integral variations, lines and planes like ℒ and 𝒫, and more...

The oplus sign (XOR) could also mean Direct Sums of groups, rings, etc. When an algebra or group is "graded", it can be decomposed into a direct sum of smaller algebras or groups.

Very interesting seeing the logic philosophy symbols, learned that last semester and didn’t know if they actually counted as a math symbols lol. Haven’t seen it anywhere else.

Math is like a video game, the more you level up, the more symbols or characters unlock.

aleph sighted watch out for abnormalities

Thank you so much!!! your content is so heplful

WHERE WERE YOU WHEN I WAS DOING MY BACHELOR'S IN MATH YOU WOULD HAVE HELPED ME THROUGH SO MUCH CONFUSION

#34 is also used for direct sum of modules in linear algebra

Empty sets in Desmos have the value of 1 [ WHAT?! ]

i thought this video wouldn't be long enough but your explanations are great good video!

you have an incredible talent for making complex topics simple!

I learnt all of these the hard way, this is a good video for beginner in math notation

As a person whos about to finish elementary school my brain is turning into popcorn.

Amazing. Now we need this kind of videos for other languages like programming languages etc.

Knew most of them, but some were pretty cool and I will start using them when writing my maths note since it's easier than writing by hand haha

I love how this guy can teach me more symbols in 8 minutes than my teacher can in a month.

sin(θ) ≡ ℑ(e^iθ) cos(θ) ≡ ℜ(e^𝔦θ)

Our teacher taught us that the '±' can also be used to say 'or more' as in: It was around 50± = it was around fifty or more

So crisp and clean

I’m a little surprised you didn’t include the top arrow for vectors and the hat symbol for unit vectors. As a side note, physicists tend to use * for the complex conjugate and † for the Hermitian adjoint.

Now I know how to hold a brush Tho you're art is a guid without rush I am satisfied with your flow The way it is, is with no flaw Very vry nice vid BTW I am not sure how you video in the time being has 500 likes It's Strang but keep the nice work

✓Greatest integer function G.I.F. [•] f(x)

Fractional partof floor/ceiling function would have been good toadd aswell, denoted with {x}

Thank you so much, I have always wanted to know these symbols.

In the starting, It was a maths video but in the end it a great grand IIT professor explaining computer language....

There are so many missing, but I am happy that I got to learn so e new ones to the very least.

xor symbol is also used to signify a direct sum in abstract algebra

You have made some banger videos that have taught me half the maths I know But I have to say that this is my favourite video Keep it up 🫡

5:31 the integral isn’t necessarily an antiderivative but the difference between 2 anti derivatives can be a shortcut to finding the integral the integral is the sum of all outcomes of a function between a upper and lower limit (think of sigma but not limited to integers)

∑ is the sigma sigh💀💀

In Desmos The tilde is used for regression

There are many kinds of multiplication symbols including the dot . And X for ordinary one defined on scalars or vectors. ٨ for exterior product on IR³ or on the exterior algebra , And X inside a circle for the tensor multiplication on a tensor algebra. Off course we don't count the inner product On Hilbert Spaces as it is a composed one.

small correction for #80: the ray starts at the first point and PASSES THROUGH the second point, rather than ending at it.

Not adding π, iota, theta is unforgivable.

1:15 Tilda would have been nice to know back in 5th grade when the teacher told us you weren't done with your answer and could be reduced down. Tilda would have been awesome to use. 4π/6~2π/3

In math logic #35 and #36 can be say as top and bottom to indicate truth and falsity value symbols

imaginary? are you kidding me? They couldn’t cope with their math being wrong so they just made imaginary numbers

waiting for a kid to say "OmG gUyS lOoK iTs sIgMa!!! wHeN aRe We GeTtInG sKiBidI??!??"

"+" may also be used to denote that the operation requires the use of a Phillips head screwdriver.

Happy 75K subs😊

What is special about the mathematical term in banner??

Aleph is a Hebrew letter ‏‪6:50‬‏

The equal sign was created very recently (relatively). Before the sign was created. PPL used to write. "is equal to"

omg thanks for notifing me now my college has me at the top

Welp guys, he said sigma. Are we awaiting brainrots to finnaly learn something?

ermmm what the Σ?

0:02 Plus 0:06 Minus 0:15 Multiply 0:20 Divide 0:25 Plus-Minus 0:32 Minus-Plus 0:47 Sqr. Root 0:55 Equals Sign 1:04 Not Equals Sign 1:09 Approx. Equals sign 1:17 Tilda 1:21 Proport. 1:25 Triple Bar 1:34 Less Than 1:40 Greater Than 1:46 Less/Equal 1:54 Greater/Equal 1:59 M. Less 2:01 M. Gre 2:05 Empty Set 2:08 Number 2:16 Membership 2:21 No membership 2:24 Inclusion 2:28 emph. Set inclusion 2:37 Proper subset 2:41 Union 2:49 Intersection 2:57 Difference 3:07 Symmetric Diff. 3:17 Negation 3:24 Or 3:27 And 3:31 Exc. Or 3:36 Tee 3:41 Up Tack 3:48 Un. Quant. 3:52 Ex. Quant. 4:00 Unique Quant. 4:08 Implied 4:16 Logical Equi. 4:22 Blackboard Bold Typeface 4:26 N 4:29 Z 4:31 Q 4:33 R 4:35 C 4:38 H 4:40 O 4:43 U 4:48 Lag. Not. 4:50 Der. Of f 5:00 Newt. Not. 5:01 Der. of var X 5:14 Lieb Not. Der of f with respect 5:23 Part. Der of f 5:28 Integral 5:43 Arrow 5:50 Func. Comp. 5:54 log 6:02 ln 6:09 lim 6:12 Fancy R 6:17 Fancy I 6:20 bar above complex 6:29 Sigma Func. 6:33 Capital Pi Func. 6:40 Infinity 6:45 Aleph 6:53 Fraktur C 6:59 Factorial 7:02 Bin. Coeff. 7:14 absolute value 7:21 floor 7:24 ceiling 7:30 near. int. func. 7:36 divisibility 7:41 no divisibility 7:41 parallel 7:46 not parallel 7:47 perp/coprime 7:56 line seg. 8:00 ray 8:05 inf. linr

2:28 Actually a lot of authors use \subset without the line underneath and till not mean strict inclusion.

math class be like: **Problem:** Solve for \( x \) in the equation: \[ \int_{0}^{\pi/2} \left( e^{i\theta} + e^{-i\theta} ight) d\theta + \sum_{n=0}^{\infty} \left( \frac{1}{2^n} + \frac{1}{3^n} ight) + \lim_{x \to \infty} \left( \frac{1}{x} + \frac{1}{x^2} ight) + \left( \frac{\sin^2(x) + \cos^2(x)}{\sin(x) \cos(x)} ight) = 2x \] **Solution:** 1. **Integrating the first term:** \[ \int_{0}^{\pi/2} \left( e^{i\theta} + e^{-i\theta} ight) d\theta \] Recall that \( e^{i\theta} = \cos(\theta) + i\sin(\theta) \) and \( e^{-i\theta} = \cos(\theta) - i\sin(\theta) \). So, \[ e^{i\theta} + e^{-i\theta} = 2\cos(\theta) \] Thus, the integral becomes: \[ \int_{0}^{\pi/2} 2\cos(\theta) d\theta = 2 \int_{0}^{\pi/2} \cos(\theta) d\theta = 2 \left[ \sin(\theta) ight]_{0}^{\pi/2} = 2 (1 - 0) = 2 \] 2. **Evaluating the infinite series:** \[ \sum_{n=0}^{\infty} \left( \frac{1}{2^n} + \frac{1}{3^n} ight) \] The series can be split into two geometric series: \[ \sum_{n=0}^{\infty} \frac{1}{2^n} + \sum_{n=0}^{\infty} \frac{1}{3^n} \] Using the formula for the sum of an infinite geometric series \( \sum_{n=0}^{\infty} ar^n = \frac{a}{1-r} \): For the first series: \[ \sum_{n=0}^{\infty} \frac{1}{2^n} = \frac{1}{1 - \frac{1}{2}} = 2 \] For the second series: \[ \sum_{n=0}^{\infty} \frac{1}{3^n} = \frac{1}{1 - \frac{1}{3}} = \frac{3}{2} \] So, the sum is: \[ 2 + \frac{3}{2} = \frac{4}{2} + \frac{3}{2} = \frac{7}{2} \] 3. **Evaluating the limit:** \[ \lim_{x \to \infty} \left( \frac{1}{x} + \frac{1}{x^2} ight) \] As \( x \) approaches infinity, both \( \frac{1}{x} \) and \( \frac{1}{x^2} \) approach 0. So, \[ \lim_{x \to \infty} \left( \frac{1}{x} + \frac{1}{x^2} ight) = 0 \] 4. **Simplifying the trigonometric expression:** \[ \frac{\sin^2(x) + \cos^2(x)}{\sin(x) \cos(x)} \] Using the Pythagorean identity \( \sin^2(x) + \cos^2(x) = 1 \): \[ \frac{1}{\sin(x) \cos(x)} = \frac{1}{\frac{1}{2} \sin(2x)} = \frac{2}{\sin(2x)} \] At \( x = \frac{\pi}{4} \), \( \sin(2x) = 1 \). So, \[ \frac{2}{\sin(2 \times \frac{\pi}{4})} = \frac{2}{1} = 2 \] Combining all parts, the equation becomes: \[ 2 + \frac{7}{2} + 0 + 2 = 2x \] \[ \frac{4}{2} + \frac{7}{2} + \frac{4}{2} = 2x \] \[ 2 + \frac{7}{2} + 2 = 2x \] \[ \frac{4}{2} + \frac{7}{2} + \frac{4}{2} = 2x \] \[ \frac{15}{2} = 2x \] \[ x = \frac{15}{4} \] So, the complex version of the simple equation \( 1 + 1 = 2 \) with a more intricate solution is given by: \[ x = \frac{15}{4} \] all done by: \̶̡̼̂[̵̹̹̂ ̷̩̝̽\̴̞̩̂̚m̷̲͒̏à̵̗t̴̲̰̅h̵̳̾c̴͇͗͊à̵̠̐l̵̡̈́{̸͍̘͂A̵̰̼̐}̴̬̽ ̸͕̓+̴͇̿ ̴̡̤́̆\̵́͜m̴̺̦̓̂á̶̜̪ț̵͓̈́̊ẖ̸̛̙̒f̵̼̃̇ŗ̴̈́̎a̵̦͛͊k̷̢̼͑͋{̶̗͔͒̾n̴̜͚̔}̷̢̫͊ ̷̡̮̆+̵͍͊̓ ̵̛͔́\̷͙͉̈́͗G̴̺̩̓a̶͈͛̀m̸͕͒͆m̷̪̀a̷̤̓͊ ̶̗̎+̸̰̓ ̴͎̊ē̷̫͝^̶̠͌̉\̵̞͈̍̿l̶̯͚̔a̷͖̾m̸̖̼̎ḃ̴̿ͅͅd̸͇͓͆̚a̸̹͛̒ ̸̝͎̀+̴͕̬͊̒ ̶̜̈́̑\̸̢̳̈Õ̷͖̃m̷̟͘e̴̹̎g̸͕͓͛a̷̳̾ ̸̟̽̅\̸̡̫͂]̵̬̠͒̅

6:29 When the Brainrot takes over Math

Here where I'm studying (Nantes, western France), blackboard bold typeface U denotes the group of all complex numbers of module 1

Ω this was amazingly amazing

OG's will remember back when sigma was an actual math symbol

00:47 My stupid ass thought the square root was a tick.

I believe everyone regardless of their educational level will be pleased to watch this video. Very interesting content, may you can add more symbols that we often use. Such as degree (in angle and in temperature), arc... etc

Damn, you are soo good!

Mathematicians calling them imaginary numbers instead of admitting they were wrong...

Erm what the 6:30

Shit got real after the divide sign

That escalated quickly

6:30 Gen alpha ruined this one

6:30 Sigma🗿🍷

In my university, symmetrical difference is denoted with a mere "-", never seen the other symbols, same with an up tack for a contradiction

The "~" sign also represents negation of a statement.

you missed a lot of important uses of the symbol and only showed the most basic ones

Bro did not speak English

7:59 No, it represents a ray with an endpoint at the first point and passing through the second, going off toward infinity. A ray does not have two endpoints.

in british mathematics, the backslash \ sign stated at 3:05 is not used, instead it is a straight vertical line; |

6:29 SIGMA SKIBIDI TOILET

Let's be honest you only clicked on here for sigma

Mathematics fact : you can represent a complex number by x+iy where x is the real part and y is the imaginary part. A sq root of a negative number will be a complex number. Where i⁰ is 1 and i¹ is i and i² is -1 if you plot it on graph you will get a circle of radius pi.

Arithmetic operators: plus (+), minus (-), multiplication (x or dot), division (/) Plus or minus (±) Range (-) Root symbol (√) Equal (=) Not equal (≠) Approximately equal (≈) or tilde (~) Proportionality (∝) Triple bar or equivalent (=) Less than ( Less than or equal to (≤) Greater than or equal to (≥) Much less than > Empty set symbol (∅) Number sign (#) In (∈) Not in (∉) Set inclusion (⊂) Proper subset (⊊) Union (∪) Intersection (∩) Set difference () Symmetric difference (Δ or ⊖) Negation symbol (¬) AND (&) OR (∨) XOR (⊕) True (T) False (F) Universal quantifier (∀) Existential quantifier (∃) Uniqueness quantifier (∃!) Conditional operator (→) Logical equivalence (↔) Basic number systems: N (natural numbers), Z (integers), Q (rational numbers), R (real numbers), C (complex numbers), H (quaternions), O (octonians), U (universal set) Prime (') for derivatives and dot (.) for Newton's notation Integral (∫) Function composition Logarithm (log or ln) Limit (lim) Real part (Re) Imaginary part (Im) Complex conjugate (bar over a complex number) Summation (Σ) Product (∏) Infinity (∞) Aleph (ℵ) Factorial (!) Binomial coefficient (nCk) Absolute value (|) Floor function (⌊⌋) Ceiling function (⌈⌉) Nearest integer function (round) Visibility line (-) Non-divisibility (/) Parallelism (||) Non-parallelism (∦) Perpendicularity (⊥) Coprime (/) Line segment (overline) Line or ray (→) Infinite line (↔) I hope this helps!

Here before 1 hour tickets here! 👇 👆 *No.* 🗿🍷

Can you do a video like this for physics and math constants like plank contant, euler, i=imaginary, c= light speed and so on?

I hope there will be a follow video with more interesting and specific symbols. Math notation needs more appreciation

I did not know that rounding was denoted by that ...😮

2:16 In Ukrainian language there is a letter 'є'(ye) which is also a word that means "is" , it is quite interesting how close it is to the mathematical meaning of that symbol.

Thank ya, I think i gotta learn some...

Not sure how feel that I somehow knew almost all of these already apart from a couple

For a sec I thought we are gonna summon the Math Demon or cast Spells from the Mathematical School

My head hurt. I should be in summer vacation... 💀

uptack in #36 looks very similar to perpendicularity and coprime in #78

You should have included the symbol of congruency too. BTW nice video.

Nostalgic lesson's, thanks 👏😉

Bro literally teached us how to do math in the correct way

My teacher 1 week before the test:

This video is super helpful. :D

Great video, but you forgot to mention in sign meanings about subfactorial, power, tetration