81 Math Symbols Explained

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Digital Genius

Digital Genius

Күн бұрын

Пікірлер: 1 900
@alex_kly
@alex_kly 7 ай бұрын
Now I understand that the math language also has a lot of dialects..
@Tweindstien
@Tweindstien 7 ай бұрын
Math exists because of determinism i think, if we didnt have need to simplify and to count, would we invent it.
@moumdoh
@moumdoh 7 ай бұрын
Imagine 19th century mathematicians trying to standardize these things
@chri-k
@chri-k 7 ай бұрын
@@moumdohthey did not do well
7 ай бұрын
Fr
@BaseSixBasics
@BaseSixBasics 7 ай бұрын
@@chri-kBecause there’s too many operations to have consistency in the movement of symbols
@Cringeroni
@Cringeroni 5 ай бұрын
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
@kaurpajula2731
@kaurpajula2731 4 ай бұрын
Thank you for your service 🫡
@mahesh-x7w
@mahesh-x7w 4 ай бұрын
are you unemployed
@Saliman-vr
@Saliman-vr 3 ай бұрын
What the sigma func.?
@Cringeroni
@Cringeroni 3 ай бұрын
@@mahesh-x7w uh ya why??
@RileyShoko
@RileyShoko 3 ай бұрын
Erm what the sigma
@ombrezz7030
@ombrezz7030 7 ай бұрын
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
@jocabulous 7 ай бұрын
In my introductory math logic class we wrote negation as a tilde (~P)
@clarenceauerbach7934
@clarenceauerbach7934 7 ай бұрын
true , the AND sign is also used for greatest common divisor and OR sign for lowest common multiple
@maddy_boy7317
@maddy_boy7317 6 ай бұрын
Math is like a video game, the more you level up, the more symbols or characters unlock.
@civa_i_ile_yazilmaz
@civa_i_ile_yazilmaz 6 ай бұрын
Wow! This is by far the best mathematic proverb! Congratulations!
@sadyoshhours2769
@sadyoshhours2769 6 ай бұрын
Mathio kart
@your_local_Turkish31
@your_local_Turkish31 6 ай бұрын
this is a tutorial to unlock them all
@Imjustafan-9.38
@Imjustafan-9.38 5 ай бұрын
why does this relate to me?🤔🤔
@A_guy_named_Aven_alt
@A_guy_named_Aven_alt 2 ай бұрын
Similar thought unfolded in WarioWare Gold
@daaa2299
@daaa2299 7 ай бұрын
π, ∆, °, %, ∠, ∮, Nabla, and many more, but still most of the topics covered
@AlbertTheGamer-gk7sn
@AlbertTheGamer-gk7sn 7 ай бұрын
π: 3.1415926535897932384626433832795 ∆: Discriminant °: Degree %: Percent ∠: Angle ∮: Contour integral (of a vector field) ∇: Gradient
@adarsh6036
@adarsh6036 7 ай бұрын
U
7 ай бұрын
​@@AlbertTheGamer-gk7snw
@elgatitokawai55
@elgatitokawai55 7 ай бұрын
pi isn’t really a mathematical symbol. it’s a number that happens to have a symbol associated with it
@skylardeslypere9909
@skylardeslypere9909 7 ай бұрын
This video just covers anything high school. Anything more than that is primarily used by people who don't need these videos
@TON_618_BH
@TON_618_BH Ай бұрын
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)
@Carfunnygamesgamer
@Carfunnygamesgamer 18 күн бұрын
how did he get that symbols in her keyboard
@TON_618_BH
@TON_618_BH 17 күн бұрын
@@Carfunnygamesgamer Facemoiji keyboard :/
@Diamondøres
@Diamondøres 12 күн бұрын
-Sigma (Σ)
@InterstellarCreature
@InterstellarCreature 7 ай бұрын
Math is like meth, once you start using it properly you can't stop it
@That_Student_
@That_Student_ 7 ай бұрын
Dang.
@moth4286
@moth4286 7 ай бұрын
Methimatics
@moth4286
@moth4286 7 ай бұрын
Lionel Methi
@arysri3194
@arysri3194 7 ай бұрын
Relatable
@SomeRandomGerman
@SomeRandomGerman 7 ай бұрын
so thats why they show it like a minus sign...
@ZiaRahmanlive
@ZiaRahmanlive 6 ай бұрын
As a person whos about to finish elementary school my brain is turning into popcorn.
@DominicRyanOsborne
@DominicRyanOsborne 5 ай бұрын
And you used caps and at least one punctuation, but probably ignored the suggestions from you keyboard for the rest. Maybe there is hope.
@jordythesheep
@jordythesheep 2 ай бұрын
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
@ZiaRahmanlive
@ZiaRahmanlive 2 ай бұрын
@@jordythesheep Thanks!
@DefauIt-User
@DefauIt-User Ай бұрын
you saw Sigma in the thumbnail and clicked it, didn't you?
@ZiaRahmanlive
@ZiaRahmanlive Ай бұрын
@@DefauIt-User People expect so much out of us nowadays, all i wanted to do was learn are you out of your mind?
@raphdm3776
@raphdm3776 7 ай бұрын
The most underrated math channel ever, even if you've already started blowing up
@RohitKulan
@RohitKulan 7 ай бұрын
I'm probably the #2 most underrated math channel then
@sorkinquinzel
@sorkinquinzel 2 ай бұрын
It's not, because there's not a Skibidi Toilet math thing
@tigerlover2853
@tigerlover2853 6 ай бұрын
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.
@petert1595
@petert1595 6 ай бұрын
I know!
@SanciaAna
@SanciaAna 6 ай бұрын
Ikr😅
@Seagullguy144
@Seagullguy144 6 ай бұрын
Erm, what the sigma
@Lambdrx
@Lambdrx 6 ай бұрын
Such a great math symbol and greek letter, it didnt deserve to get treated like this
@fanofthetrees
@fanofthetrees 6 ай бұрын
@@Seagullguy144bro
@JRuiz476
@JRuiz476 7 ай бұрын
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!
@kenzou776
@kenzou776 6 ай бұрын
WHERE WERE YOU WHEN I WAS DOING MY BACHELOR'S IN MATH YOU WOULD HAVE HELPED ME THROUGH SO MUCH CONFUSION
@comparingwarcrimes
@comparingwarcrimes Ай бұрын
This is an obvious lie
@DoubleQCubed-d7o
@DoubleQCubed-d7o 6 күн бұрын
@@comparingwarcrimes no
@comparingwarcrimes
@comparingwarcrimes 6 күн бұрын
@@DoubleQCubed-d7o u
@davidjones-zm9bc
@davidjones-zm9bc 7 ай бұрын
you been really helpful till now , have a nice day man
@Z9FOV_gaming
@Z9FOV_gaming 4 ай бұрын
Which number are you talking about which is greater than 3, 2 or 1 or between??
@johannesvanderhorst9778
@johannesvanderhorst9778 24 күн бұрын
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, "
@WindyHeavy
@WindyHeavy 7 ай бұрын
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
@TepsiMorphic 7 ай бұрын
I'm a math grad student and i have never seen it used for XOR lmao
@WindyHeavy
@WindyHeavy 7 ай бұрын
@@TepsiMorphic Agreed HAHAHAHAHAHAH
@GospelSpreader123
@GospelSpreader123 Ай бұрын
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
@SomebodyAteMyCookies
@SomebodyAteMyCookies Ай бұрын
Those who know 💀
@GospelSpreader123
@GospelSpreader123 Ай бұрын
@SomebodyAteMyCookies wdym
@SomebodyAteMyCookies
@SomebodyAteMyCookies Ай бұрын
@@GospelSpreader123 It's a brain rot thing nevermind
@LaTortuePGM
@LaTortuePGM 7 ай бұрын
#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 ?
@SlashZooka
@SlashZooka 6 ай бұрын
This brings joy to my heart. Thanks for making this video :D
@Lilly-Lilac
@Lilly-Lilac 7 ай бұрын
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
@Bhuvan_MS 7 ай бұрын
7:17 It is used as a symbol for determinants too.
@Zephei
@Zephei 7 ай 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
@mohannad_139 6 ай 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 🤷‍♂️
@HesterClapp
@HesterClapp 2 ай бұрын
6:20 The complex conjugate of a number z can also be denoted z*
@bagelnine9
@bagelnine9 7 ай бұрын
sin(θ) ≡ ℑ(e^iθ) cos(θ) ≡ ℜ(e^𝔦θ)
@a-bison
@a-bison 7 ай бұрын
These two letters have absolutely NO NEED to be doing all that 😂
@niceboiiz
@niceboiiz 7 ай бұрын
Bro type in English I can't understand
@niceboiiz
@niceboiiz 7 ай бұрын
@user-re4mw8zm4u no I have to learn trigonometry
@xinpingdonohoe3978
@xinpingdonohoe3978 7 ай бұрын
You're wrong. sin(i)≈1.175i Im(e^(i×i))=Im(1/e)=0
@JESUS_CHRlST
@JESUS_CHRlST 7 ай бұрын
Might just be in the UK but we use Re() and Im() which feels more sensible 😂
@MozarellaCheese-qk8pb
@MozarellaCheese-qk8pb 6 ай бұрын
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
@FireyDeath4
@FireyDeath4 7 ай бұрын
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
@paulchaperon2207 7 ай 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
@alecmartin8543 7 ай 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
@bayleev7494 7 ай 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
@isavenewspapers8890 7 ай бұрын
@@alecmartin8543Letters are absolutely symbols.
@isavenewspapers8890
@isavenewspapers8890 4 ай бұрын
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.
@PPSally
@PPSally 16 күн бұрын
As a "languages and litterature" person who absolutely sucks at math, viewing it as a language really helped me, same with music notation
@phibik
@phibik 7 ай бұрын
I learnt all of these the hard way, this is a good video for beginner in math notation
@TheAnimatingSphereInSpace
@TheAnimatingSphereInSpace 6 ай бұрын
waiting for a kid to say "OmG gUyS lOoK iTs sIgMa!!! wHeN aRe We GeTtInG sKiBidI??!??"
@Kiwisarecute
@Kiwisarecute 5 ай бұрын
Sigma is summation
@sorkinquinzel
@sorkinquinzel 2 ай бұрын
Yeah. There's Sigma at 6:30 but not Skibidi
@TheCubingGrandmaster
@TheCubingGrandmaster 2 ай бұрын
when we getting wolf
@TON_618_BH
@TON_618_BH Ай бұрын
If they have a fancy pc he could flex with the symbol Σ
@tttttttttttttttttt0
@tttttttttttttttttt0 4 ай бұрын
Thanks for the video, it helped me learn calculus, logic, sets and logarithm at 12
@outbackigloo6489
@outbackigloo6489 18 күн бұрын
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. 🙂
@konoashi
@konoashi 7 ай бұрын
#34 is also used for direct sum of modules in linear algebra
@fr0stbyte000
@fr0stbyte000 5 ай бұрын
Shit got real after the divide sign
@Red_demon-hv7si
@Red_demon-hv7si Ай бұрын
"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
@zillyterror9593
@zillyterror9593 28 күн бұрын
Every ipad kid:
@kakarohim.s6932
@kakarohim.s6932 20 күн бұрын
What is wrong with you?
@Kreypossukr
@Kreypossukr Ай бұрын
4:43 Blackboard U is more used for roots of unity
@eliximinatus
@eliximinatus 6 ай бұрын
aleph sighted watch out for abnormalities
@qinomed7532
@qinomed7532 6 ай бұрын
project moon sleeper agents activate
@grovpleer
@grovpleer 6 ай бұрын
ALEPH?? ALEPH CLASS???? LIKE AS IN ALEPH FROM LOOBOTOMY CORPORATION??? HOLY SHIT! LOBOTOMY CORPIRATION MENTIONED!
@Hamodi12Gaming
@Hamodi12Gaming 6 ай бұрын
As a person being forced to learn hebrew, i kinda went like what when i found out hebrew pulled up to math
@brosthestickmandude
@brosthestickmandude 5 ай бұрын
I knew there was going to be a PM comment here anyways, SLEEPER AGENTS ACTIVATED!!!!!!!!!!!!!!!!
@Zdv0rz
@Zdv0rz 4 ай бұрын
I can barely wait for a "FrEe PaLeStInE" comment
@BrainyLifestyle
@BrainyLifestyle 6 ай бұрын
B: The lower the number, the bigger it gets. 1/0 [base integer / zero possibilities -> infinite possibilities] 1/0=inf
@lukatolstov5598
@lukatolstov5598 7 ай бұрын
6:59 also omega represents 2nd.
@DimGrits
@DimGrits 5 ай бұрын
Twenty-fourth or last.
@excancerpoik
@excancerpoik 3 ай бұрын
I usually think of the - sign as only representing negative numbers because subtraction is just addition of negative numbers when you think about it
@LeTtRrZ
@LeTtRrZ 7 ай бұрын
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
@Raj_Dave 7 ай бұрын
Aren't vectors a physics concept?
@LeTtRrZ
@LeTtRrZ 7 ай 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.
@cgamestoomuch78
@cgamestoomuch78 4 ай бұрын
3:15 btw triangle can be seen as the letter Delta from the greek alphabet, and the other one is Theta. (also from the greek alphabet) Delta is also usually used as the change of something. and theta im pretty sure equals rotation of a circle/circumference or just rotation, i dont know anything else
@vari1535
@vari1535 7 ай бұрын
small correction for #80: the ray starts at the first point and PASSES THROUGH the second point, rather than ending at it.
@TheDoc-Worker
@TheDoc-Worker 7 ай бұрын
BADA *BING*
@skylardeslypere9909
@skylardeslypere9909 7 ай 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
@TheDoc-Worker 7 ай бұрын
@@skylardeslypere9909 BADA *BOOM*
@skylardeslypere9909
@skylardeslypere9909 7 ай бұрын
@@TheDoc-Worker lol
@ayoub_moussaoui
@ayoub_moussaoui Ай бұрын
4:38 4:40 4:43 This is the first time I know that there are groups of numbers H, O, and U. Has anyone explained them?
@ByBeingBalanced
@ByBeingBalanced 7 ай бұрын
In the starting, It was a maths video but in the end it a great grand IIT professor explaining computer language....
@JaseewaJasee
@JaseewaJasee 4 ай бұрын
you have an incredible talent for making complex topics simple!
@OTDFPlayzorStudiosOFFICIAL
@OTDFPlayzorStudiosOFFICIAL 7 ай бұрын
Empty sets in Desmos have the value of 1 [ WHAT?! ]
@cosmnik472
@cosmnik472 7 ай 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
7 ай бұрын
Fr
@artemetra3262
@artemetra3262 7 ай 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
@Nick12_45 7 ай бұрын
​@@cosmnik472 As someone who uses desmos i couldnt appreciate your reply more
@OTDFPlayzorStudiosOFFICIAL
@OTDFPlayzorStudiosOFFICIAL 7 ай бұрын
But got some reason, {} = 1
@ranaoblivious2122
@ranaoblivious2122 Ай бұрын
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" "..."
@iluvmypodju
@iluvmypodju Ай бұрын
All the ipad kids are getting hyped at 6:29 no cap 💀🤚
@Anibeaver
@Anibeaver 27 күн бұрын
Uhh, I checked the comments, and it seems like you were the only one talking about it
@iluvmypodju
@iluvmypodju 27 күн бұрын
@Anibeaver fr
@Link_724
@Link_724 5 ай бұрын
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
@user-xy5yg6se1k
@user-xy5yg6se1k 6 ай бұрын
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?
@kikones34
@kikones34 6 ай бұрын
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).
@jasondalton9590
@jasondalton9590 6 ай бұрын
what about a very much less than and very much greater than symbols
@NachoManWithThePlan
@NachoManWithThePlan 4 ай бұрын
i was just about to say the same thing!
@abetheiii04
@abetheiii04 4 ай бұрын
2:58 In our math class, we use minus sign instead of backslash in set difference.
@BegginerGamer24
@BegginerGamer24 3 ай бұрын
Same, I think you are somewhere in Asia. Correct me if I'm wrong tho
@movieworld812
@movieworld812 6 ай бұрын
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!
@thearchnoob
@thearchnoob 2 ай бұрын
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. 🙏
@spike_curvball
@spike_curvball 7 ай бұрын
Instructions unclear, my brain is now in meth
@bunnyThor
@bunnyThor 6 ай бұрын
"+" may also be used to denote that the operation requires the use of a Phillips head screwdriver.
@DominicRyanOsborne
@DominicRyanOsborne 5 ай бұрын
Apparently you have to be Canadian to appreciate that joke, meanwhile happy Canada day
@Sasha11711
@Sasha11711 7 ай бұрын
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.
@TheoJanvinRBLXandGI
@TheoJanvinRBLXandGI Ай бұрын
1:58 Theres also *Very Much Greater Than* or *Very Much Less Than* with three symbols in one position.
@davidhamburger7758
@davidhamburger7758 Ай бұрын
Like 1•10^6 > 1•10^6
@Unii123
@Unii123 Ай бұрын
​@@davidhamburger7758 Assuming the difference in value is correct, I think you mixed the symbols up.
@unnamedscribble-auttp
@unnamedscribble-auttp 14 күн бұрын
so 10000000 >>> 1
@TheoJanvinRBLXandGI
@TheoJanvinRBLXandGI 6 күн бұрын
Yes thats correct.
@KayePalma-d8l
@KayePalma-d8l 3 ай бұрын
6:31 ayo were talking about gen z🗣️ Edit: thanks for 45 likes MOM IM FAMIUS
@thelorefinders
@thelorefinders 3 ай бұрын
“Gen alpha”
@thelorefinders
@thelorefinders 3 ай бұрын
Also sigma should only be used on math not some stupid ass slang
@luningningsantiago7464
@luningningsantiago7464 2 ай бұрын
I have the “sigma”
@Bluezzyx
@Bluezzyx 2 ай бұрын
Yeah really right ​@@thelorefinders
@WealthyInsuranceOfficial
@WealthyInsuranceOfficial 2 ай бұрын
It's just a sequence
@mbashir86
@mbashir86 19 күн бұрын
1st + 2nd - 3rd x 4th divided 5th square root 6th triple bar
@moozcode6882
@moozcode6882 7 ай бұрын
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
@ItsFikkie 6 ай бұрын
your*
@markkuilomaki1173
@markkuilomaki1173 2 ай бұрын
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.😆😊
@thewretchedspawn-q1s
@thewretchedspawn-q1s 6 ай бұрын
-sees sigma- -sighs- -checks comment section-
@farid-frederick
@farid-frederick 11 күн бұрын
What i can see is that math is just magic runes, as it have a lot of strange symbols.
@pistachos4868
@pistachos4868 7 ай бұрын
Thank you so much!!! your content is so heplful
@anilshirsat4406
@anilshirsat4406 2 ай бұрын
Thanks for the best abstract in Mathematics. 👌👍
@truenova1594
@truenova1594 7 ай бұрын
Not adding π, iota, theta is unforgivable.
@tyrjial
@tyrjial 7 ай 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 😀
@sashyps
@sashyps 6 ай 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
@Asabcdefgh 6 ай бұрын
And exponential!
@RustringX
@RustringX 6 ай бұрын
Theta = Θ, Iota = ι
@erebus-p6i
@erebus-p6i 6 ай бұрын
that's just kidding
@roblox_progamers1104
@roblox_progamers1104 11 күн бұрын
Times is the kinda most overused thing but hidden in some maths
@sapomago-173
@sapomago-173 2 ай бұрын
6:44 LOBOTOMY CORP YEAAAÁA
@spine_being
@spine_being 2 ай бұрын
I AM FUCKING TIRED OF PROJECTMOON BRAINROT GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD
@sapomago-173
@sapomago-173 2 ай бұрын
@@spine_being project moon my beloved
@sapomago-173
@sapomago-173 2 ай бұрын
@@spine_being at least it's not sigma or whatever the fuck brainrot is these days
@computersachievers1574
@computersachievers1574 Ай бұрын
Please explain also with the symbols based numerical examples I am waiting 😊 👍🏻 nice and Informative videos thank you sir
@WaterOnTheHill-xp3yx
@WaterOnTheHill-xp3yx 6 ай бұрын
6:29 When the Brainrot takes over Math
@aynf
@aynf 6 ай бұрын
Bruh
@allayallay-z1z
@allayallay-z1z 6 ай бұрын
The sigma symbol was used for summation, way before this slang came out. Think before you joke.
@anandrishabh2672
@anandrishabh2672 6 ай бұрын
I KNEW SOME *DUMB* *KID* WOULD COMMENT THAT
@destructionjtoh
@destructionjtoh 6 ай 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 💀
@omarie5893
@omarie5893 6 ай бұрын
eat
@TSK_light
@TSK_light 3 ай бұрын
I lost track of those symbols the moment we got past the equal sign and approximately sign
@vanjamirosavljevic4399
@vanjamirosavljevic4399 7 ай бұрын
0:24 Serbs write it with a colon :
@KadziYT
@KadziYT 6 ай бұрын
I love gd cologn (I was thinking the same thing)
@djiboutiballmappingandanim9318
@djiboutiballmappingandanim9318 6 ай бұрын
Poles also do it
@jasondalton9590
@jasondalton9590 5 ай бұрын
And he was saying: “It sometimes written as a colon”
@TheCaregiverSITMOB
@TheCaregiverSITMOB 5 ай бұрын
@@KadziYTEspecially with that “normal face” PFP.
@Malikitty567
@Malikitty567 4 ай бұрын
Same (im from Russia)
@Metal_Master_YT
@Metal_Master_YT 5 ай бұрын
8:00 don't you mean a ray starts at one point and runs through the second point and then on infinitely beyond that (as indicated by the arrow)?
@ישיורסולקר
@ישיורסולקר 6 ай бұрын
Aleph is a Hebrew letter ‏‪6:50‬‏
@jasondalton9590
@jasondalton9590 5 ай бұрын
Aleph is a Hebrew letter 6:50
@AlbertDrippinOnestone
@AlbertDrippinOnestone 4 ай бұрын
Aleph is a Hebrew letter 6:50
@Bluezzyx
@Bluezzyx 2 ай бұрын
Aleph is a Hebrew letter 6:50
@stevenuniverseguy
@stevenuniverseguy 4 ай бұрын
According to my calculations we can see the video is 8 : 13 minutes long, taking the 8 and 1 am ignore the 3 and using a 0 instead we get 8 : 10 minutes which we can just make 810 and since it's 81 mathematical symbols each has atleast 10 seconds of time but the 3 can be used, now we must divide 3 by 81 the results would be 0.270 seconds or simplified as 270 miliseconds, adding them together we get 10.270 which is the estimate of the duration of each symbols time to be explained, of course it isn't accurate but in a perfect reality where everything is balanced the explaination would be 10.270 seconds
@Lincorin
@Lincorin 6 ай бұрын
0:54 ah yes the plus sign written as "="
@CarolynLomboy
@CarolynLomboy 6 ай бұрын
Is bro deaf....
@Lincorin
@Lincorin 4 ай бұрын
Yes
@zillyterror9593
@zillyterror9593 28 күн бұрын
​@@Lincorinthere is something called subtitles
@Lincorin
@Lincorin 27 күн бұрын
@@CarolynLomboy first of all I said "written" not "heard"
@Lincorin
@Lincorin 27 күн бұрын
@@zillyterror9593 and second of all, NO DUH.
@bokoebler
@bokoebler 6 ай бұрын
For the conditional and biconditional arrows in the logic portion, #40 and #41, wouldn't both be written with a single line in the middle (-->, ), since a double-ligned arrow (as shown for the conditional symbol => and biconditional symbol ) is used to represent security (i.e. A=>B means A secures B) under the Sequent Calculus? This (=>) has been used in proofs of the Soundness and Completeness of First Order Logic. Is this an oversight from the video or just a matter of notational ambiguity across different logical systems?
@Xfer
@Xfer 7 ай бұрын
Welp guys, he said sigma. Are we awaiting brainrots to finnaly learn something?
@Flesh_Wizard
@Flesh_Wizard 7 ай бұрын
erm what the sigma
@ananyavaibhav6355
@ananyavaibhav6355 7 ай бұрын
Sigma is not brainrot it is a mindset to achieve success
@paleospino4956
@paleospino4956 6 ай бұрын
“brainrots”? Lol.
@Jernoobs
@Jernoobs 2 ай бұрын
Sigma is math
@The_Awesome_Guy
@The_Awesome_Guy 24 күн бұрын
There's also a colon-like sign with 3 dots representing that some number is a multiple of an another number
@victoryfirst06
@victoryfirst06 7 ай бұрын
Thank you so much, I have always wanted to know these symbols.
@autumn948
@autumn948 27 күн бұрын
The utter lack of parentheses for functions is starting to get to me
@corneliatimu4032
@corneliatimu4032 5 ай бұрын
Now the sigma simbol got me☠️☠️☠️☠️☠️☠️☠️
@stevendavis2122
@stevendavis2122 15 күн бұрын
What a superb find this video is. Bravo sir.
@moephyu7667
@moephyu7667 Ай бұрын
the sign 'sigma'
@420sakura1
@420sakura1 6 ай бұрын
The equal sign was created very recently (relatively). Before the sign was created. PPL used to write. "is equal to"
@exhaustive_the_sixth
@exhaustive_the_sixth Ай бұрын
9² math symbols explained
@GospelSpreader123
@GospelSpreader123 Ай бұрын
Sqrt(81) = x - > x ( 2 ) math symbols solved
@klaxmirao9910
@klaxmirao9910 Ай бұрын
What (7!÷sqrt(49))-((8×3!)×9²÷3)+(sqrt(16)×(5!-4!)) math symbols do
@killerhosto_o8831
@killerhosto_o8831 6 ай бұрын
4:44 you forgot "i" set of irrational numbers, like pi and square root 2
@pancake2203
@pancake2203 5 ай бұрын
I for iota
@d1scocubes
@d1scocubes 7 ай бұрын
00:47 My stupid ass thought the square root was a tick.
@TheCaregiverSITMOB
@TheCaregiverSITMOB 6 ай бұрын
It does look like one here.
@JamesDavy2009
@JamesDavy2009 6 ай бұрын
@@TheCaregiverSITMOB In the days of yore, it was used in place of a tick on ScanDisk.
@Drakonus_
@Drakonus_ 6 ай бұрын
No basic math symbols like %(modulo) or ^(exponent)?
@JamesDavy2009
@JamesDavy2009 6 ай бұрын
Modulo isn't standardised with a symbol unless you count the abbreviation "mod". Knuth's up arrow notation is a way to write exponentiation as x ↑ y. The ^ symbol is a way of typing it.
@Drakonus_
@Drakonus_ 6 ай бұрын
@@JamesDavy2009 Well, in programming modulo is almost always represented by the % symbol. It's also widely used in most calculators with the % symbol, though you'd have to use the ALPHA mode.
@Albert_848
@Albert_848 22 күн бұрын
i just came here for sigma
@Airpumper
@Airpumper 16 күн бұрын
Same😭😭🙏🙏
@thunder_reflex214
@thunder_reflex214 6 ай бұрын
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.
@SpeedyMcMichael
@SpeedyMcMichael 2 ай бұрын
0:25 real sigmas use x over y
@BrokenBattle
@BrokenBattle Ай бұрын
Alphas use β1/β2
@SpeedyMcMichael
@SpeedyMcMichael Ай бұрын
@@BrokenBattle tangents use sin/cos
@klaxmirao9910
@klaxmirao9910 Ай бұрын
​​@@SpeedyMcMichael big numbers use ^/e
@陳律信
@陳律信 2 ай бұрын
+1:there's a symbol that's a equal then 2 dots is to demote thing like 156 (symbol) 160
@windowxp1946
@windowxp1946 3 ай бұрын
sigma is a mathematic symbol, not a meme?.
@roughcut001
@roughcut001 3 ай бұрын
I pray every day that this is a joke lmao
@windowxp1946
@windowxp1946 3 ай бұрын
@@roughcut001 back then sigma was a mathematic symbol now: meme wtf
@cerulity32k
@cerulity32k 2 ай бұрын
2:08 SO THATS WHY THE HASH SIGN GETS A TABLE'S SIZE IN LUA
@Malaysian_pupils60
@Malaysian_pupils60 Ай бұрын
primary school kid:💀💀💀
@JiyaanShah-too0911good
@JiyaanShah-too0911good Ай бұрын
Thank You so much for this video. I am making a book and all this info is helping me out a lot. Will share when done to you
@Epoyeen
@Epoyeen 2 ай бұрын
Sigma: normal Sigma:🗿
@polyesh
@polyesh 2 ай бұрын
Sigma is a letter in the Greek alphabet
@huffeyy3916
@huffeyy3916 6 ай бұрын
in british mathematics, the backslash \ sign stated at 3:05 is not used, instead it is a straight vertical line; |
@Gillcubes15
@Gillcubes15 6 ай бұрын
6:30 Gen alpha ruined this one
@Tohn1013
@Tohn1013 6 ай бұрын
My head hurt. I should be in summer vacation... 💀
@jdanielxx9327
@jdanielxx9327 6 ай бұрын
6:30 Sigma🗿🍷
@galuhputri5763
@galuhputri5763 6 ай бұрын
Lol
@TheBoeingCompany-h9z
@TheBoeingCompany-h9z 6 ай бұрын
sigma in math ✅ sigma in brainrot 💀
@LevAfiaga
@LevAfiaga 21 күн бұрын
0:02 plus sign 5+4=9 0:06 minus sign 7-4=3 get negative -4 -2 -7
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