81 Math Symbols Explained

The language of math.

[@InterstellarCreature]

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

[@That_Student_]

Dang.

[@moth4286]

Methimatics

[@moth4286]

Lionel Methi

[@arysri3194]

Relatable

[@SomeRandomGerman]

so thats why they show it like a minus sign...

[@alex_kly]

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

[@tweid8457]

Math exists because of determinism i think, if we didnt have need to simplify and to count, would we invent it.

[@moumdoh]

Imagine 19th century mathematicians trying to standardize these things

[@U20E0]

@@moumdohthey did not do well

Fr

[@adamsheaffer]

@@U20E0Because there’s too many operations to have consistency in the movement of symbols

[@daaa2299]

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

[@AlbertTheGamer-gk7sn]

π: 3.1415926535897932384626433832795 ∆: Discriminant °: Degree %: Percent ∠: Angle ∮: Contour integral (of a vector field) ∇: Gradient

[@adarsh6036]

U

​@@AlbertTheGamer-gk7snw

[@No_king1143]

pi isn’t really a mathematical symbol. it’s a number that happens to have a symbol associated with it

[@skylardeslypere9909]

This video just covers anything high school. Anything more than that is primarily used by people who don't need these videos

[@-.-_-_.-_-ValerA..___._-.-_._-]

9² maths symbols explained

[@sonicwaveinfinitymiddwelle8555]

3^4*

[@thefirstuwu8874]

@@sonicwaveinfinitymiddwelle8555 e^4.394 - 0.963 626 64*

[@cool_neptune]

6561^0.5*

[@HeyKevinYT]

81¹

[@i_like_treins3449]

Guys, what does the "²" and "^" symbol mean?? He didn't explain it /j

[@tigerlover2853]

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

[@petert1595]

I know!

[@SanciaAna]

Ikr😅

[@vol4onke311]

Erm, what the sigma

[@Lambdrx]

Such a great math symbol and greek letter, it didnt deserve to get treated like this

[@notsocubic64]

@@vol4onke311bro

[@raphdm3776]

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

[@RohitKulan]

I'm probably the #2 most underrated math channel then

[@ombrezz7030]

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.

[@jocabulous]

In my introductory math logic class we wrote negation as a tilde (~P)

[@clarenceauerbach7934]

true , the AND sign is also used for greatest common divisor and OR sign for lowest common multiple

[@eliximinatus]

aleph sighted watch out for abnormalities

[@qinomed7532]

project moon sleeper agents activate

[@FireyDeath4]

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...

[@paulchaperon2207]

I would have liked if he went into a bit more depth on the aleph notations but the editing must have taken a lot of work already

[@alecmartin8543]

There aren't really many letters in the whole video, i don't think it's strange. In fact, the title says symbols and symbols ≠ letters. Also, each letter can have many many many uses so it wouldn't be as informative. Pi can be used as 3.14, in statistics (iirc pi is used for two important, different concepts) and as a constant in physics (from what i know). C can be used as the speed of light, as the little +C after every integral and probably as other things. Ive seen phi in like 5 different contexts this last semester in college. Etc. Letters would be impossible to turn into an extensive list

[@bayleev7494]

​@@alecmartin8543to add to your list, π commonly denotes projection maps in geometry and topology, and the prime-counting function in number theory. capital C isn't actually used all that much to my knowledge, and i think that's because mathematicians like to have arbitrary constants floating around when they need them.

[@isavenewspapers8890]

@@alecmartin8543Letters are absolutely symbols.

[@OTDFPlayzorStudiosOFFICIAL]

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

[@cosmnik472]

Curly braces in desmos denotes a piecewise expression in the form {condition : then, else}, not a set For example {n>3 : 7 , n+1} would evaluate to 7 if n is greater than 3, if n is not greater than 3 then it returns n+1 By default, the values for then and else are 1 and NaN (which shows up as undefined) so for example, {n>0} evaluates 1 if n>0 and NaN if n

Fr

[@artemetra3262]

​​@@cosmnik472 when you write x^2 {x>0}, desmos interprets this literally as a multiplication between x^2 and {x>0}. when x≤0, {x>0} = NaN, so multiplying by NaN gives NaN. when x>0, {x>0} = 1, so the expression is x^2 * 1= x^2, which is what needs to be plotted. so it's basically just using multiplication by 1 as the "do nothing" operation. thus, empty brackets { } denote something that is always true, so they are always equal to 1 no matter what. very cool but a little hacky in my opinion

[@Nick12_45]

​@@cosmnik472 As someone who uses desmos i couldnt appreciate your reply more

[@OTDFPlayzorStudiosOFFICIAL]

But got some reason, {} = 1

[@davidjones-zm9bc]

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

[@truenova1594]

Not adding π, iota, theta is an unforgivable crime.

[@tyrjial]

imo these are just letters, not special mathematical symbols. thus that is not "an unforgivable crime". it is like saying the author should have added the whole latin alphabet only because mathematicians tend to use it moreover, the preferrable usage of *letters* in mathematics highly depend on a country. For instance, google claims the letter for "area" is "A", but we in eastern europe are likely to use "S" suppose you did not try thinking before posting your comment 😀

[@vpvnsf]

They're only showing symbols, not letters.

[@Quqz]

​@@tyrjialBro took a damn yt comment serious💀 No he's just tryna say that like if you think of math π is one of the first things that come to your mind, oretty important to math

[@Asabcdefgh]

And exponential!

[@RustringX]

Theta = Θ, Iota = ι

[@JRuiz476]

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!

[@Lilly-Lilac]

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.

[@Bhuvan_MS]

7:17 It is used as a symbol for determinants too.

[@Zephei]

Dummit & Foote's textbook uses the overbar (6:21) to denote the equivalence class of an element (cosets included), and to denote images of subgroups/subrings/submodules/subfields under a natural projection. I think I have seen at least one other text use the overbar in a similar way.

[@mohannad_139]

The bar can be used for the absolute of a value, the determinant of a matrix, the magnitude of a vector, the cardinality of a set, maybe more 🤷‍♂️

[@maddy_boy7317]

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

[@mehmetesen6942]

Wow! This is by far the best mathematic proverb! Congratulations!

[@sadyoshhours2769]

Mathio kart

[@your_local_Turkish31]

this is a tutorial to unlock them all

[@bagelnine9]

sin(θ) ≡ ℑ(e^iθ) cos(θ) ≡ ℜ(e^𝔦θ)

[@a-bison]

These two letters have absolutely NO NEED to be doing all that 😂

[@niceboiiz]

Bro type in English I can't understand

[@user-re4mw8zm4u]

​@@niceboiiz learn satanic

[@niceboiiz]

@@user-re4mw8zm4u no I have to learn trigonometry

[@xinpingdonohoe3978]

You're wrong. sin(i)≈1.175i Im(e^(i×i))=Im(1/e)=0

[@WindyHeavy]

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.

[@TepsiMorphic]

I'm a math grad student and i have never seen it used for XOR lmao

[@WindyHeavy]

@@TepsiMorphic Agreed HAHAHAHAHAHAH

[@skeleton819]

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

[@spike_curvball]

Instructions unclear, my brain is now in meth

[@LaTortuePGM]

#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 ?

[@konoashi]

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

[@iHashibami]

∑ is the sigma sigh💀💀

[@bunnyThor]

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

[@SlashZooka]

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

[@pistachos4868]

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

[@manthankashyap933]

6:15 Arent Im and Re also used for that?

[@chair7728]

yes

[@TorquayToTanzania-TTT-]

yeah only for writing stuff on unit circles tho

[@user-ir1lv1wv2o]

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

[@chimetimepaprika]

So crisp and clean

[@LeTtRrZ]

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.

[@Raj_Dave]

Aren't vectors a physics concept?

[@LeTtRrZ]

@@Raj_Dave They have applications in data science, programming, and pure math. The arrow notation is likely exclusive to physics, but vectors themselves are everywhere.

[@ByBeingBalanced]

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

[@firemonkey1015]

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.

[@OTDFPlayzorStudiosOFFICIAL]

In Desmos The tilde is used for regression

[@vari1535]

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

[@TheDoc-Worker]

BADA *BING*

[@skylardeslypere9909]

No, that notation is used for a vector from A to B, having a certain length. I have never seen notation #81 though. I guess if you accept #81 as true, then your explanation makes more sense for #81

[@TheDoc-Worker]

@@skylardeslypere9909 BADA *BOOM*

[@skylardeslypere9909]

@@TheDoc-Worker lol

[@victoryfirst06]

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

[@mysticery]

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

[@phibik]

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

[@chocolatebar6785]

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)

[@ahasdasetodu6304]

That would be a definite integral, an indefinite is still just an antiderivative

[@moozcode6882]

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

[@ItsFikkie]

your*

[@MozarellaCheese-qk8pb]

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

[@sidhaarthnair8368]

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

[@decract]

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

[@isavenewspapers8890]

Yes, I do remember the present.

[@Hemant-jm9sx]

What is special about the mathematical term in banner??

[@Hemant-jm9sx]

Ok I solved it Let, h(x)= limit(x)^1/x x->infi Limit (x)^1/x = e⁰=1 x->inf therf (h(x))²=1 Let P(x)= Sum(k=0->8) sin(2πk/9) Solving this by putting k=0,1,2,.....8 P(x)=0 {surprisingly} Therf (P(x))²= 0 Putting all together √(h(x))²-(P(x))² = √1-0 = √1 Answer = 1 Till now Idk why this is the banner of this channel

[@ahasdasetodu6304]

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

[@lukatolstov5598]

6:59 also omega represents 2nd.

[@user-fv5pz9ov7y]

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

[@TheCaregiverSITMOB]

It does look like one here.

[@JamesDavy2009]

@@TheCaregiverSITMOB In the days of yore, it was used in place of a tick on ScanDisk.

[@Xfer]

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

[@FleshWizard69420]

erm what the sigma

[@ananyavaibhav6355]

Sigma is not brainrot it is a mindset to achieve success

[@paleospino4956]

“brainrots”? Lol.

[@davidwong666]

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

[@DanielGuimond-vl6jd]

Erm what the 6:30

[@cmlwltjr_143]

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 ̸̟̽̅\̸̡̫͂]̵̬̠͒̅

[@anadiacostadeoliveira4]

Didn't your hand burn?

[@cmlwltjr_143]

@@anadiacostadeoliveira4 yes'nt

[@anadiacostadeoliveira4]

@@cmlwltjr_143 Nuh uh: Didn't = Did not Isn't = Is not I'm = I am Understood this?

[@thunder_reflex214]

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.

[@AbouTaim-Lille]

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.

[@WaterOnTheHill-xp3yx]

6:29 When the Brainrot takes over Math

[@OfficialLify]

Bruh

[@user-wl1ph1hb2v]

The sigma symbol was used for summation, way before this slang came out. Think before you joke.

[@anandrishabh2672]

I KNEW SOME *DUMB* *KID* WOULD COMMENT THAT

[@destructiongmd]

Air detected! Water on the hill! Fire in the hole! Area confirmed! Rock on the ground! Wind from the landscape! Lightning on the road! Bees from the hive! Kids at the basement! Magma in the bound! Blood in the bath! Wait no I hate lobotomy 💀

[@sosantos5893]

eat

[@wandrespupilo8046]

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

[@TepsiMorphic]

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

[@redroach401]

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

[@Kidnamedkid]

ermmm what the Σ?

[@ElPeloXD]

erhmmmm.... what the fuck?

[@babymaddy7086]

Erm what the actual sum?

[@realman-vc5cw]

1:55 1:55 1:55 1:55

[@MohammedAbdullah2014]

😂😂😂😂😂😂

[@nipudey5065]

its called 'sigma'

[@jdanielxx9327]

6:30 Sigma🗿🍷

[@galuhputri5763]

Lol

[@attackhelicopteriscool]

sigma in math ✅ sigma in brainrot 💀

[@cuteseal7507]

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

[@user-xy5yg6se1k]

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

[@MKK3Real]

6:29 SIGMA SKIBIDI TOILET

[@biteof83]

I was waiting for someone to type this 😢

[@pyre3989]

@@biteof83 erm what the sigma

[@Emripro-]

Bro did not speak English

[@rslashwooosh4964]

It’s called an accent you troglodyte.

[@funut2541]

Lmfao

[@JoseOrtega-yf1wl]

Lmao

[@JoseOrtega-yf1wl]

Yoly moly

[@JoseOrtega-yf1wl]

Oi oi oi

[@isavenewspapers8890]

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.

[@zerokun2655]

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

[@Paumung2014]

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

[@Calypso143]

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

[@Watermelon_cat208]

That escalated quickly

[@Sasha11711]

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.

[@HowieDewitt535]

And this is when I realized my quest for knowledge stops at everything else before math.

[@Benevezzioficial]

The inevitable path to infinity is taken at the discretion of the experiencer. Mathematics will be there, waiting for you, when you're ready. There's no rush

[@HowieDewitt535]

@@Benevezzioficial Bro just wrote like Socrates.

[@vincentjiang6358]

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

[@MajaxPlop]

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

[@redmonke]

the Σ symbol made it more clear than it did from my calculator

[@zando9593]

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

[@HopeRock425]

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

[@xPlay5r]

[1, 2, 3] \ [1, 2] = [3] Someone uses also this notation: [1, 2, 3] - [1, 2] = [3] This thing happens to some of other operands.

[@mcdoublemaster2776]

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

[@huffeyy3916]

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

[@tylerbakeman]

Math is a language, and often the symbols are still up to interpretation. ✖️is used for multiplying numbers, cross-products on vectors, cartesian/ direct products on sets, and likely has some more applications (ie. Field Theory/ Ring Theory) Symbols are usually representative of Relations, whereas we often describe theoretical relations with dummy-symbols: “A relation R relates elements from the structure S, such that for all x,y of S: xRy” - and we would give properties to R, such as defining Reflexivity, Symmetry, and Transitivity,,, which are necessary properties for defining Equality and Ordering. Ordering is described in books using ambiguous symbols, but the convention is well documented- literally, a “partial order” is typically given a < symbol (sometimes it looks more squiggly),,, this is because < behaves pretty much the exact same way (not technically). Numerals themselves, I believe, are / are related to Quantifiers. Instead of “For All” or “There exist” etc 4 = “Four” - is a symbolic representation of a quantity. One of the topics I study tries to recognize that numerals represent quantities, which allows us to use numbers to define Abstract concepts- knowing that Scalars are Tensors that are built on those concepts (so, I try to unwrap the paradoxes) ~ is also used for logical negations (predicate logic), is probably more common. Predicates, in my opinion are just one type of logical statement, and the behavior comes from their ancestors… But, it is arguably a linguistics topic that intersects math (not my expertise) # is sometimes used instead of R for relations- I’ve also seen it used in Topology as an operation for “gluing manifolds”,,, but idk anything about that subject. FunFact: The Union and Intersect symbols are used for set operations - they are also used for Families, with a slightly different notation (I forget which definition for “Family”,,, as it can mean many things)

[@StillMrBubble]

0:54 ah yes the plus sign written as "="

[@callmeandoru2627]

Math symbols usually are that confusing, but it gets convoluted really quickly when they start having synonyms and homonyms

[@Gillcubes15]

6:30 Gen alpha ruined this one

[@ATBestinGaming]

3+4=7 3-4=-1 3×4=3·4=12 3÷4=3/4=0.75 3±4=-1 / (or) 7 (Approximately equal to 5)) 3 minus-plus 4=-1 / (or) 7 (I don't have the symbol) (/ means square root) /4=2, (cube root) ³/4=approx 1.59 3+4=7, 3×4=12, 3^4=81 etc. 3+4≠5 3+4≈7.001 3~3.001, 4~4.001

[@Neptune_ISS]

the negative sign is shorter than a minus

[@Vixtorz]

No mention of the Blendau Smeuk or the hytol Hakka.

[@NickOnTime]

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

[@foolishball9155]

Now i can finally define limits using only math symbols.

[@_.6708]

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

[@lilyzheng2322]

The colors are cool

[@movieworld812]

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!

[@user-pd2rv8en6x]

Fun fact: The infinity on 7:00 ends in 736585365229224831 approximately (those are not random values)

[@sosantos5893]

They are not random they are "oddly specific"

[@vincentaace4939]

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

[@DzikaFizyka]

I need more symbols

[@kubahmmmm1]

Damn, you are soo good!

[@-PR1SMA7IC-]

7:48 if two lines crossed out means non-parallelism, does a crossed-out upside-down T mean non-perpendicularity?

[@mehmetesen6942]

6:50 Why does the middle of the number below infinity move slower here?

[@heybobbyhere]

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 🫡

[@TheEpikalREKT]

I feel like a golden retriever

[@killerhosto_o8831]

4:44 you forgot "i" set of irrational numbers, like pi and square root 2

[@Game_player_1.0]

My teacher 1 week before the test:

[@raczburin_p.a]

How dare you not mention Arbogast's D-notation for differentiation!

[@Soupie62]

You missed the opportunity to show the UNICODE required to have these symbols in a document.