"sigma" Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head
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!
Sigma notation is the amount of area in a wave added infinitely to the best accuracy, like dx is base and x is height so (sigma notation) f(x) dx ( U ) is the area
Don’t worry :D math will take you step by step along the way. Also, I am sure that you will perform higher than average students based on what you chose to watch just now (or more like 3 months ago)… anyways, the point is that you are cool and epic and amazing and crazy and the bestest of the best
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.
#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 ?
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.
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.
Before watching the video, I tried to come up with 81 math symbols myself, but with diferent "rules": when a 'symbol' is a combination of multiple symbols or is just another symbol in a different direction, I don't count it as a new symbol. And I count a symbol only when seeing the symbol (and understanding the underlying math) makes it clear what it means. When a symbol is used for different uses, I count it only once. I didn't get to 81, but I came close. These were my results, separated in different families. Arithmetic (16) Plus sign, minus sign, multiplication (with center dot), division (with forward slash), equality, Sigma (summation along a large set), Pi (product along a large set), factorial, parenthesis (to force the order of operations), "," (separating the integer part from the decimals), floor (and ceiling is just upside down floor), approximation, root, infinity, "|" (divisibility), ^(exponentiation). Logic (9) For all (upside down "A"), there exists (upside down "E"), implication, ~ (equivalence), negation, "
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...
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
@@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.
The video never purported to attempt to cover every single math symbol ever invented, so I don't know what you were expecting. Also, the letters θ, ε, and ω are each used for a variety of things in math. In particular, θ is most famously used as a variable for an angle measurement. Notably, this is not a particular value. My best guess is that you're talking about the ordinal numbers from set theory, but I'm really not sure.
My mental stage: "This is basic stuff I know" "Ooo, I know this one!" "Oh, so what that means" "Uh, what?" "What" "huh?" "Oh, I learned this" "I don't know this" " I've never learned this" "I've never seen this" "I know this! This is my project" 'uhhh" "Uhmm" "..."
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
@@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
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 They have applications in data science, programming, and pure math. The arrow notation is likely exclusive to physics, but vectors themselves are everywhere.
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
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
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 😀
@@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
It's not rigorously defined, but it can be useful when the exact numbers are not really important, only their magnitudes. For example, you could be discussing the non-associativity of exponentiation and state 3^(3^3) >> (3^3)^3. This puts emphasis on the fact that we get a much larger value when evaluating right to left as opposed to left to right. You could use a normal > sign, but then you're losing that emphasis. In some rare occasions, you can even see more symbols added to denote extreme differences in magnitude (for example, TREE(3) >>> Graham's Number).
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
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 💀
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.
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!
I remember once in math class when i was supposed to draw lines to indicate how many parts circle can be sheard and the last circle was supposed to shear with any number of lines i wanted to indicate infinite shearing. Instead of lines i simply drew the infinity symbol and my teacher was a bit surprised. Not that i was wrong about my answer, but he/she didn't expect such clever answer coming from so young boy i was back then. One of my funniest memmories from elementary school.😆😊
@-JBYT- im not gen alpha I just heard the word sigma so much that evenever someone says it I cant take them seriously, im not saying I didnt take this guy seriously after that its just funny that I just heard "sigma" while I was doing something in the background
Now I understand that the math language also has a lot of dialects..
Math exists because of determinism i think, if we didnt have need to simplify and to count, would we invent it.
Imagine 19th century mathematicians trying to standardize these things
@@moumdohthey did not do well
Fr
@@chri-kBecause there’s too many operations to have consistency in the movement of symbols
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. line
Thank you for your service 🫡
are you unemployed
What the sigma func.?
@@mahesh-x7w uh ya why??
Erm what the sigma
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.
In my introductory math logic class we wrote negation as a tilde (~P)
true , the AND sign is also used for greatest common divisor and OR sign for lowest common multiple
Math is like a video game, the more you level up, the more symbols or characters unlock.
Wow! This is by far the best mathematic proverb! Congratulations!
Mathio kart
this is a tutorial to unlock them all
why does this relate to me?🤔🤔
Similar thought unfolded in WarioWare Gold
Basic Arithmetic Symbols
+ (Addition)
− (Subtraction)
× (Multiplication)
÷ (Division)
% (Modulus)
^ (Exponentiation)
// (Floor Division)
Relational/Comparison Symbols
= (Equals)
!= (Not equal to)
> (Greater than)
< (Less than)
>= (Greater than or equal to)
Why no one read
Correcting my spelling. Impeded is supposed to be imbedded. Theme is supposed to be the. Sorry.
Did my longer reply of appreciating your work get erased? If so, thank you very much for your List and help.
Math is like meth, once you start using it properly you can't stop it
Dang.
Methimatics
Lionel Methi
Relatable
so thats why they show it like a minus sign...
π, ∆, °, %, ∠, ∮, Nabla, and many more, but still most of the topics covered
π: 3.1415926535897932384626433832795
∆: Discriminant
°: Degree
%: Percent
∠: Angle
∮: Contour integral (of a vector field)
∇: Gradient
U
@@AlbertTheGamer-gk7snw
pi isn’t really a mathematical symbol. it’s a number that happens to have a symbol associated with it
This video just covers anything high school. Anything more than that is primarily used by people who don't need these videos
The most underrated math channel ever, even if you've already started blowing up
I'm probably the #2 most underrated math channel then
It's not, because there's not a Skibidi Toilet math thing
What's the font that Digital Genius and 3Blue1Brown uses
Symbol list:
-Plus sign (+)
-Minus sign (-)
-Multiplication sign (x or .)
-Division sign (÷)
-Plus-minus sign (±)
-Minus-plus sign (∓)
-Square root symbol (√)
-Equal sign (=)
-Not-equal sign (≠)
-Approximately equal sign (≈)
-Similarity/proportionality (~)
-Proportionality (∝)
-Triple bar (≡)
-Less-than sign ()
-Less than or equal (≤)
-Greater than or equal (≥)
-Much less than sign (≪)
-Much greater than sign (≫)
-Empty set symbol (Ø)
-Number sign (#)
-Set inclusion sign (⊂)
-Equal set inclusion (⊆)
-Not equal set inclusion (⊈)
-Union (⋃)
-Intersection (⋂)
-Difference (\)
-Symmetric difference (⊖ or △)
-Or (∨)
-And (∧)
-Exclusive or (⊕)
-Tee (T)
-Up tack (⊥)
-Universal quantifer (∀)
-Existential quantiner (Ǝ)
how did he get that symbols in her keyboard
@@Carfunnygamesgamer Facemoiji keyboard :/
-Sigma (Σ)
@@Diamondøres aleph ℵ
Aleph?
"sigma"
Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head Get out of my head
Every ipad kid:
What is wrong with you?
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
Which number are you talking about which is greater than 3, 2 or 1 or between??
Sigma notation is the amount of area in a wave added infinitely to the best accuracy, like dx is base and x is height so (sigma notation) f(x) dx ( U ) is the area
Those who know 💀
@SomebodyAteMyCookies wdym
@@GospelSpreader123 It's a brain rot thing nevermind
@@SomebodyAteMyCookies oh
6:29
I can never see this the same after what my class has done to it.
Edit: Day by day I regret making this comment.
I know!
Ikr😅
Erm, what the sigma
Such a great math symbol and greek letter, it didnt deserve to get treated like this
@@Seagullguy144bro
WHERE WERE YOU WHEN I WAS DOING MY BACHELOR'S IN MATH YOU WOULD HAVE HELPED ME THROUGH SO MUCH CONFUSION
This is an obvious lie
@@comparingwarcrimes no
@@DoubleQCubed-d7o u
As a person whos about to finish elementary school my brain is turning into popcorn.
And you used caps and at least one punctuation, but probably ignored the suggestions from you keyboard for the rest. Maybe there is hope.
Don’t worry :D math will take you step by step along the way. Also, I am sure that you will perform higher than average students based on what you chose to watch just now (or more like 3 months ago)… anyways, the point is that you are cool and epic and amazing and crazy and the bestest of the best
@@jordythesheep Thanks!
you saw Sigma in the thumbnail and clicked it, didn't you?
@@Versitilicus People expect so much out of us nowadays, all i wanted to do was learn are you out of your mind?
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.
I'm a math grad student and i have never seen it used for XOR lmao
@@TepsiMorphic Agreed HAHAHAHAHAHAH
This brings joy to my heart. Thanks for making this video :D
Shit got real after the divide sign
6:45 This immediately triggered my fight or flight response.
#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 ?
waiting for a kid to say "OmG gUyS lOoK iTs sIgMa!!! wHeN aRe We GeTtInG sKiBidI??!??"
Yeah. There's Sigma at 6:30 but not Skibidi
when we getting wolf
If they have a fancy pc he could flex with the symbol Σ
Erm...what the Σ 🤓👆
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.
7:17 It is used as a symbol for determinants too.
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.
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 🤷♂️
As a "languages and litterature" person who absolutely sucks at math, viewing it as a language really helped me, same with music notation
Before watching the video, I tried to come up with 81 math symbols myself, but with diferent "rules": when a 'symbol' is a combination of multiple symbols or is just another symbol in a different direction, I don't count it as a new symbol. And I count a symbol only when seeing the symbol (and understanding the underlying math) makes it clear what it means. When a symbol is used for different uses, I count it only once.
I didn't get to 81, but I came close. These were my results, separated in different families.
Arithmetic (16)
Plus sign, minus sign, multiplication (with center dot), division (with forward slash), equality, Sigma (summation along a large set), Pi (product along a large set), factorial, parenthesis (to force the order of operations), "," (separating the integer part from the decimals), floor (and ceiling is just upside down floor), approximation, root, infinity, "|" (divisibility), ^(exponentiation).
Logic (9)
For all (upside down "A"), there exists (upside down "E"), implication, ~ (equivalence), negation, "
I learnt all of these the hard way, this is a good video for beginner in math notation
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...
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
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
@@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.
@@alecmartin8543Letters are absolutely symbols.
The video never purported to attempt to cover every single math symbol ever invented, so I don't know what you were expecting.
Also, the letters θ, ε, and ω are each used for a variety of things in math. In particular, θ is most famously used as a variable for an angle measurement. Notably, this is not a particular value. My best guess is that you're talking about the ordinal numbers from set theory, but I'm really not sure.
Instructions unclear, my brain is now in meth
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
My mental stage:
"This is basic stuff I know"
"Ooo, I know this one!"
"Oh, so what that means"
"Uh, what?"
"What"
"huh?"
"Oh, I learned this"
"I don't know this"
" I've never learned this"
"I've never seen this"
"I know this! This is my project"
'uhhh"
"Uhmm"
"..."
In the starting, It was a maths video but in the end it a great grand IIT professor explaining computer language....
"+" may also be used to denote that the operation requires the use of a Phillips head screwdriver.
Apparently you have to be Canadian to appreciate that joke, meanwhile happy Canada day
aleph sighted watch out for abnormalities
project moon sleeper agents activate
ALEPH?? ALEPH CLASS???? LIKE AS IN ALEPH FROM LOOBOTOMY CORPORATION??? HOLY SHIT! LOBOTOMY CORPIRATION MENTIONED!
As a person being forced to learn hebrew, i kinda went like what when i found out hebrew pulled up to math
I knew there was going to be a PM comment here
anyways, SLEEPER AGENTS ACTIVATED!!!!!!!!!!!!!!!!
I can barely wait for a "FrEe PaLeStInE" comment
I usually think of the - sign as only representing negative numbers because subtraction is just addition of negative numbers when you think about it
you have an incredible talent for making complex topics simple!
sin(θ) ≡ ℑ(e^iθ)
cos(θ) ≡ ℜ(e^𝔦θ)
These two letters have absolutely NO NEED to be doing all that 😂
Bro type in English I can't understand
@user-re4mw8zm4u no I have to learn trigonometry
You're wrong.
sin(i)≈1.175i
Im(e^(i×i))=Im(1/e)=0
Might just be in the UK but we use Re() and Im() which feels more sensible 😂
All the ipad kids are getting hyped at 6:29 no cap 💀🤚
Uhh, I checked the comments, and it seems like you were the only one talking about it
@Anibeaver fr
Empty sets in Desmos have the value of 1 [ WHAT?! ]
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
@@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
@@cosmnik472 As someone who uses desmos i couldnt appreciate your reply more
But got some reason, {} = 1
My teacher 1 week before the test:
Great video man. Lost track at like 6 minutes into the video but still a great high-quality and definitely useful for now and the future video. 🙏
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.
Aren't vectors a physics concept?
@@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.
small correction for #80: the ray starts at the first point and PASSES THROUGH the second point, rather than ending at it.
BADA *BING*
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
@@skylardeslypere9909 BADA *BOOM*
@@TheDoc-Worker lol
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
your*
This feels like the “history of the entire world I guess” but for math
4:43 Blackboard U is more used for roots of unity
-sees sigma-
-sighs-
-checks comment section-
#34 is also used for direct sum of modules in linear algebra
6:59 also omega represents 2nd.
Twenty-fourth or last.
Bro literally teached us how to do math in the correct way
Start: Plus sign is...
Middle: logarithm, integral, ARROW
End: lines
6:44 LOBOTOMY CORP YEAAAÁA
I AM FUCKING TIRED OF PROJECTMOON BRAINROT GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD
@@spine_being project moon my beloved
@@spine_being at least it's not sigma or whatever the fuck brainrot is these days
Not adding π, iota, theta is unforgivable.
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 😀
@@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
And exponential!
Theta = Θ, Iota = ι
that's just kidding
1:56 but what is the criteria for using these symbols, i mean, when does "less than" become "much less than" and what is the use of noting that?
It's not rigorously defined, but it can be useful when the exact numbers are not really important, only their magnitudes. For example, you could be discussing the non-associativity of exponentiation and state 3^(3^3) >> (3^3)^3. This puts emphasis on the fact that we get a much larger value when evaluating right to left as opposed to left to right. You could use a normal > sign, but then you're losing that emphasis. In some rare occasions, you can even see more symbols added to denote extreme differences in magnitude (for example, TREE(3) >>> Graham's Number).
what about a very much less than and very much greater than symbols
i was just about to say the same thing!
6:20 The complex conjugate of a number z can also be denoted z*
Brain: *You have lost internet connection, please try again later*
0:54 ah yes the plus sign written as "="
Is bro deaf....
Yes
@@Lincorinthere is something called subtitles
@@CarolynLomboy first of all I said "written" not "heard"
@@zillyterror9593 and second of all, NO DUH.
Thank you so much!!! your content is so heplful
0:24 Serbs write it with a colon :
I love gd cologn
(I was thinking the same thing)
Poles also do it
And he was saying: “It sometimes written as a colon”
@@KadziYTEspecially with that “normal face” PFP.
Same (im from Russia)
This is a nice refresher for me. 👍🏻 I’ve learned one new symbol (for symmetric (set) difference.) I hope to be able to use it someday. 🙂
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
6:29 When the Brainrot takes over Math
Bruh
The sigma symbol was used for summation, way before this slang came out. Think before you joke.
I KNEW SOME *DUMB* *KID* WOULD COMMENT THAT
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 💀
eat
Thank you so much, I have always wanted to know these symbols.
Where is "?"
It doesnt used in math
@@ThanosFan230-23o
5?=1+2+3+4+5=15 🤷
@@ThanosFan230-23onoob
False, were isn't (?)
?
Not my statutes, my statutes are mine of everything.
Mine and mind.
I know I didn’t learn more math from an 8 minute long video than years of school with atleast 2 hours spent in math each day
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.
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!
the sign 'sigma'
Why is the channel so underrated?
The utter lack of parentheses for functions is starting to get to me
i just came here for sigma
Same😭😭🙏🙏
Nno
Sigma: normal
Sigma:🗿
Sigma is a letter in the Greek alphabet
6:31 ayo were talking about gen z🗣️
Edit: thanks for 45 likes MOM IM FAMIUS
“Gen alpha”
Also sigma should only be used on math not some stupid ass slang
I have the “sigma”
Yeah really right @@thelorefinders
It's just a sequence
2:58 In our math class, we use minus sign instead of backslash in set difference.
Same, I think you are somewhere in Asia. Correct me if I'm wrong tho
bro teached me more math than my teachers ever will teach me💀
0:25 real sigmas use x over y
Alphas use β1/β2
@@BrokenBattle tangents use sin/cos
@@SpeedyMcMichael big numbers use ^/e
The
Aleph is a Hebrew letter 6:50
Aleph is a Hebrew letter 6:50
Aleph is a Hebrew letter 6:50
Aleph is a Hebrew letter 6:50
9² math symbols explained
Sqrt(81) = x - > x ( 2 ) math symbols solved
What (7!÷sqrt(49))-((8×3!)×9²÷3)+(sqrt(16)×(5!-4!)) math symbols do
I remember once in math class when i was supposed to draw lines to indicate how many parts circle can be sheard and the last circle was supposed to shear with any number of lines i wanted to indicate infinite shearing. Instead of lines i simply drew the infinity symbol and my teacher was a bit surprised. Not that i was wrong about my answer, but he/she didn't expect such clever answer coming from so young boy i was back then. One of my funniest memmories from elementary school.😆😊
What i can see is that math is just magic runes, as it have a lot of strange symbols.
OG's will remember back when sigma was an actual math symbol
Yes, I do remember the present.
primary school kid:💀💀💀
00:47 My stupid ass thought the square root was a tick.
It does look like one here.
@@TheCaregiverSITMOB In the days of yore, it was used in place of a tick on ScanDisk.
I learned that the way we write the amount of elements in a set is "n(A)=number".
Hahaha, you had me 'till 5
Welp guys, he said sigma. Are we awaiting brainrots to finnaly learn something?
erm what the sigma
Sigma is not brainrot it is a mindset to achieve success
“brainrots”? Lol.
Sigma is math
6:42 the infinity starts
sigma is a mathematic symbol, not a meme?.
I pray every day that this is a joke lmao
@@roughcut001 back then sigma was a mathematic symbol
now: meme wtf
i thought this video wouldn't be long enough but your explanations are great
good video!
I zoned out and then heard the word simga and was totally lost
@-JBYT- im not gen alpha I just heard the word sigma so much that evenever someone says it I cant take them seriously, im not saying I didnt take this guy seriously after that its just funny that I just heard "sigma" while I was doing something in the background
Sigma 💀
how old are you?
@@al3xpl4yz_0025
Now the sigma simbol got me☠️☠️☠️☠️☠️☠️☠️
6:30 Gen alpha ruined this one
Times is the kinda most overused thing but hidden in some maths
A new sequence equation I made:
27x2=54x2=108x2=216x2=432 → 432 hz = αw (alpha wave)
7:22 ester egg
Can you count to infinity
B:
The lower the number, the bigger it gets.
1/0 [base integer / zero possibilities -> infinite possibilities]
1/0=inf
6:30 Sigma🗿🍷
Lol
sigma in math ✅
sigma in brainrot 💀
"81 math symbols"
I thought those were crosshairs 💀
There are so many missing, but I am happy that I got to learn so e new ones to the very least.