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

@That_Student_

28 күн бұрын

Dang.

@moth4286

28 күн бұрын

Methimatics

@moth4286

28 күн бұрын

Lionel Methi

@arysri3194

28 күн бұрын

Relatable

@SomeRandomGerman

28 күн бұрын

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

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

@tweid8457

28 күн бұрын

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

@moumdoh

28 күн бұрын

Imagine 19th century mathematicians trying to standardize these things

@chri-k

28 күн бұрын

@@moumdohthey did not do well

28 күн бұрын

Fr

@adamsheaffer

27 күн бұрын

@@chri-kBecause there’s too many operations to have consistency in the movement of symbols

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

@AlbertTheGamer-gk7sn

28 күн бұрын

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

@adarsh6036

28 күн бұрын

U

28 күн бұрын

​@@AlbertTheGamer-gk7snw

@No_king1143

28 күн бұрын

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

@skylardeslypere9909

27 күн бұрын

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

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

@petert1595

12 күн бұрын

I know!

@SanciaAna

12 күн бұрын

Ikr😅

@vol4onke311

12 күн бұрын

Erm, what the sigma

@Lambdrx

11 күн бұрын

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

@notsocubic64

9 күн бұрын

@@vol4onke311bro

9² maths symbols explained

@sonicwaveinfinitymiddwelle8555

28 күн бұрын

3^4*

@thefirstuwu8874

28 күн бұрын

@@sonicwaveinfinitymiddwelle8555 e^4.394 - 0.963 626 64*

@cool_neptune

28 күн бұрын

6561^0.5*

@HeyKevinYT

28 күн бұрын

81¹

@i_like_treins3449

28 күн бұрын

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

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

27 күн бұрын

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

@clarenceauerbach7934

27 күн бұрын

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

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

@RohitKulan

28 күн бұрын

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

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

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!

aleph sighted watch out for abnormalities

@qinomed7532

10 күн бұрын

project moon sleeper agents activate

@grovpleer

4 күн бұрын

ALEPH?? ALEPH CLASS???? LIKE AS IN ALEPH FROM LOOBOTOMY CORPORATION??? HOLY SHIT! LOBOTOMY CORPIRATION MENTIONED!

@Hamodi12Gaming

9 сағат бұрын

As a person being forced to learn hebrew, i kinda went like what when i found out hebrew pulled up to math

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

28 күн бұрын

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

27 күн бұрын

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

26 күн бұрын

​@@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

25 күн бұрын

@@alecmartin8543Letters are absolutely symbols.

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

28 күн бұрын

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

@Zephei

27 күн бұрын

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

24 күн бұрын

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 🤷‍♂️

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

#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

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

@mehmetesen6942

17 күн бұрын

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

@sadyoshhours2769

13 күн бұрын

Mathio kart

@your_local_Turkish31

11 күн бұрын

this is a tutorial to unlock them all

Instructions unclear, my brain is now in meth

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

@cosmnik472

28 күн бұрын

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

28 күн бұрын

Fr

@artemetra3262

28 күн бұрын

​​@@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

27 күн бұрын

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

@OTDFPlayzorStudiosOFFICIAL

27 күн бұрын

But got some reason, {} = 1

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

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.

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

26 күн бұрын

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

@WindyHeavy

26 күн бұрын

@@TepsiMorphic Agreed HAHAHAHAHAHAH

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

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

sin(θ) ≡ ℑ(e^iθ) cos(θ) ≡ ℜ(e^𝔦θ)

@a-bison

28 күн бұрын

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

@niceboiiz

25 күн бұрын

Bro type in English I can't understand

@user-re4mw8zm4u

25 күн бұрын

​@@niceboiiz learn satanic

@niceboiiz

25 күн бұрын

@@user-re4mw8zm4u no I have to learn trigonometry

@xinpingdonohoe3978

24 күн бұрын

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

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

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

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

∑ is the sigma sigh💀💀

@Deezercub

4 күн бұрын

The internet has ruined everything that's supposed to be normal.

@LiberTeaBag

16 сағат бұрын

Sigma is used to denote summation of a series of terms Summation is process of adding things together

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

24 күн бұрын

Aren't vectors a physics concept?

@LeTtRrZ

24 күн бұрын

@@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.

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

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

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

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

@chair7728

28 күн бұрын

yes

@TorquayToTanzania-TTT-

28 күн бұрын

yeah only for writing stuff on unit circles tho

So crisp and clean

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

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

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

@tyrjial

24 күн бұрын

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

23 күн бұрын

They're only showing symbols, not letters.

@Quqz

23 күн бұрын

​@@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

23 күн бұрын

And exponential!

@RustringX

23 күн бұрын

Theta = Θ, Iota = ι

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

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.

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

23 күн бұрын

your*

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

@FleshWizard69420

28 күн бұрын

erm what the sigma

@ananyavaibhav6355

27 күн бұрын

Sigma is not brainrot it is a mindset to achieve success

@paleospino4956

21 күн бұрын

“brainrots”? Lol.

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

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

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

28 күн бұрын

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

@chocolatebar6785

11 сағат бұрын

@@ahasdasetodu6304 kk

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

@TheDoc-Worker

28 күн бұрын

BADA *BING*

@skylardeslypere9909

27 күн бұрын

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

27 күн бұрын

@@skylardeslypere9909 BADA *BOOM*

@skylardeslypere9909

27 күн бұрын

@@TheDoc-Worker lol

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 🫡

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

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

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

17 күн бұрын

Didn't your hand burn?

@cmlwltjr_143

16 күн бұрын

@@anadiacostadeoliveira4 yes'nt

@anadiacostadeoliveira4

13 күн бұрын

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

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

@isavenewspapers8890

22 күн бұрын

Yes, I do remember the present.

Damn, you are soo good!

In Desmos The tilde is used for regression

6:29 When the Brainrot takes over Math

@OfficialLify

19 күн бұрын

Bruh

@user-wl1ph1hb2v

19 күн бұрын

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

@anandrishabh2672

19 күн бұрын

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

@destructiongmd

18 күн бұрын

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

16 күн бұрын

eat

What is special about the mathematical term in banner??

@Hemant-jm9sx

22 күн бұрын

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

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

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

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

@TheCaregiverSITMOB

14 күн бұрын

It does look like one here.

@JamesDavy2009

11 күн бұрын

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

6:30 Sigma🗿🍷

@galuhputri5763

16 күн бұрын

Lol

@attackhelicopteriscool

15 күн бұрын

sigma in math ✅ sigma in brainrot 💀

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

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

ermmm what the Σ?

@ElPeloXD

24 күн бұрын

erhmmmm.... what the fuck?

@babymaddy7086

20 күн бұрын

Erm what the actual sum?

@realman-vc5cw

18 күн бұрын

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

@MohammedAbdullah2014

18 күн бұрын

😂😂😂😂😂😂

@nipudey5065

18 күн бұрын

its called 'sigma'

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

6:59 also omega represents 2nd.

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.

Erm what the 6:30

Bro did not speak English

@rslashwooosh4964

19 күн бұрын

It’s called an accent you troglodyte.

@funut2541

16 күн бұрын

Lmfao

@JoseOrtega-yf1wl

13 күн бұрын

Lmao

@JoseOrtega-yf1wl

13 күн бұрын

Yoly moly

@JoseOrtega-yf1wl

13 күн бұрын

Oi oi oi

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

That escalated quickly

6:29 SIGMA SKIBIDI TOILET

@biteof83

24 күн бұрын

I was waiting for someone to type this 😢

@pyre3989

24 күн бұрын

@@biteof83 erm what the sigma

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

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

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.

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.

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

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

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

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

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 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)

Awesome 👍

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

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

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

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

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

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

@xinpingdonohoe3978

24 күн бұрын

Are yoy referring to the symbol he included at 1:32?

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

The colors are cool

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

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

This video is super helpful. :D

What’s the best symbol to express “let a = b?” I usually use an equals sign with a triangle over it, but it seems most people just write out the “let” instead of using a different symbol

@xinpingdonohoe3978

24 күн бұрын

Your symbol is for definition. Hence the delta, the Greek letter d, standing for definition. If I'm, say, teaching what a vector space is, and I introduce some new notation, like ker(V), I would define it to be whatever it is. In this case, the subset of V which maps to the 0 vector under some linear map we're considering.

@Zephei

22 күн бұрын

In my experience the most common notation is a := b. Triangle-over-equals seems to also be widely accepted. I have also seen ≡ used for this purpose, but I personally wouldn't because the symbol has many other meanings.

@egs06

22 күн бұрын

@@Zephei Yeah, I’ve seen the symbol with three lines as sometimes representing an identity, so I tend not to use it for “let a=b.” I’ll look into the := thanks!

Nice, thanks 👍

Amazing 😊 ty❤

[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.

Continue it 🥳 add statistic notations, probability notations, matrix / vectorial operations and notations, special functions notation / distributions (like gamma etc)

I need more symbols

6:30 Gen alpha ruined this one

I will be trying to learn calculus by this summer vacation as a 9th grade

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!

THANKS Now I can give my students math documentd