Dec 29, 2020 7:39 PM
TheRainbowegoSweet007
94146
2177
80
13Alpha
i is my favorite imaginary number.
brainzeat
I don't care an iota about this
whiskyandsteel
Thank you all the maths people who came here to explain this. It made no sense, but I'm glad at least someone enjoys those crazy numbers
yetipc
imaginary numbers *solve* problems.
5GFPLaqZ4nAy2QwrqOEI
not really interesting tbh
LoopDog69
Until you find out VAR is a thing, induction my friends is real and uses imaginary numbers to quantify it.
shinyRK9
All numbers are imaginary
whateverthevoicestellme
Hilbert spaces hold the math for the universe
ChocoladeMelkSnor
The fact that we do math is proof of that we make our own problems and cry.
DavidBrooker
To be fair, imaginary numbers aren't more imaginary than real numbers, and real numbers aren't more real than imaginary numbers. The 1/2
names only separate conventions both equally of our own construction (or discovery). 2/2
WanderingMess
Well i does have enough uses by electricians that they have given it it's own symbol, j, for when they need to use it.
thetrout77
"i" don't know what you're talking about...
lostinamapfactory
The root of many imaginary problems can start with being negative
holyicon
Some might even say, The Square Root...
"i" would agree!
SavagePatchKids
All numbers are imaginary. Some numbers are just more imaginary than others.
AtsaMattaForMe
ScientistFromSouth
You can accomplish the same thing as complex numbers via 2×2 square matrices, but it's gross and if you try to diagonalize them, you get i.
igollum42
What’s the square root of negative one? While you can’t create it or break it down, it does show up in math. So we have to give it a name.
GoodBrotherGrimm
42 is the most important number.
agerequirementisliterallyhitler
--edgy algebra 1 gang
TheUnstoppableWampas
We didn't invent them, we discovered what the universe was using all along.
Lipwigzer
The author prolly just dosnt understand math and resents those who do.
XYOjiL
sounds like someone is guilty of creating their own problem and is now crying about it
Coolguy12345678910111213141
A mistake plus keleven gets you home by 7
usernametakenisthestoryofmylife
You mean like the number ferb?
Vorphalack
Twentington.
TheDisscoPotato
I need this laugh ?
ControversialLeftistLesbian
IOnlyUpvoteBees
Ferb squared.
shyasen
The multiple of ferb is ferbies......I'll just let myself out.
Whatdoyousaytoanicecupoftea
NumberWang! https://youtu.be/0obMRztklqU
XLIILXIX
Or that one called zent
jackieshy
thats the number between 5 and 6 right? one two three four five ferb six seven eight nine ten
SirSparblington
You forgot flimp.. one two three four flimp five ferb etc
Tesseract09
Imaginary numbers just add an abstract dimension to represent things not expressible in a single linear dimension. Like how we need four
PballQhead
The complex number plane, with imaginary numbers, is just the Cartesian x-y plane in drag.
Dimensions to properly represent 3 dimensional rotations.
This going on my odd things people downvoted list
DeucesMongooses
Teacher wasn’t happy when I did my imaginary number homework on imaginary paper with an imaginary pen. Other kids thought it funny tho
dschuma
Lol you guys believe in numbers? Next you'll be telling me the earth isn't flat
WeMistbornsNeedNotMakeSense
GenFredburger
The detailed physics of electricity in conductors and inductors literally can't be explained without the use of imaginary numbers.
MrMineHeads
I mean they can, but they are made much easier by taking it to the s-domain.
deadandbloated
Hell, Maxwell wrote down the eponymous equations without even using vectors. It's convenient and elegant, but not necessary. [Physics PhD]
innagaddavidababy
There are several treatments that explain electromagnetics without complex numbers.
Kingsdotter
What do they use instead?
Papabadger
Magic.
i=L*dv/dt, v=C*di/dt
ChilledOutEntertainer
This is incorrect. Imaginary numbers are an extremely useful mathematical device, but nothing is directly explained by them.
ZAPZAPMOTHAFUCKA
This is incorrect. reactive power on AC circuits is mathematically explained with complex and imaginary numbers.
My point was that complex numbers don't correspond to any physical entity, as is the case with complex reactive power.
But reactive power IS a physical entity. AC induction motors literally don't work without it.
In retrospect, I agree with you. I can't say i doesn't exist but minus 1 does.
dabrick31
Who’s crying about imaginary numbers? They’re like the easiest thing to deal with
TheComputerScientist
Yup, imaginary numbers are the best
FlowVector
Mathematician here: complex analysis (advanced stuff with imaginary numbers) is the most beautiful math I've ever seen.
Flabort
i^5=i, and that's my favorite thing ever
catholiccolor117
Sqrt(i*e) is ez apparently
drheathen
They have a tendency of inserting themselves into already challenging problems
nevinera
Clearly haven't taken complex analysis..
NutellaElephant
Eulers identity should be foundational and taught sooner. But I’m an engineer so my opinion doesn’t really matter when it comes to teaching.
BuoyCall
i
SyllogismeJazz
Statistician here. Agreed.
OverSpiced
All numbers are imaginary. They ain't real!
theirarefourlights
That is one mathematical philosophy but not the only one. https://m.youtube.com/watch?v=1EGDCh75SpQ
sqfin
It's all a conspiracy by big arithmetic to sell more calculators
Aplesuace
They probably suck when you do quantum CPU.
def3ctive
They also make hard things easier to deal with, they're basically the best numbers.
Circuit analysis would be so much harder without them
SeriousCloud
That's why we imagined them.
Rawrihazshotgun
also we didn't invent mathmatics
asm80dfa8sdfj
Didn't we though? Mathematics is our way of measuring things that happen. Mathematics is a scale. The numbers and ideas existed and we made
a way to figure it out. Running with the scale idea, humans weighed numbers before we invented scales. Scales just made it understandable.
We may have made the symbols and instruments to study math, however the process of things happening is natural. Math was discovered.
SwedishFlopper
Dude imaginary numbers are the bees knees
magila
Wait bees don’t have kn.....ahh I see what you did there.
reynman17
I dont?
BourbonAndBeethoven
Bees’ knees are imaginary.
MadMaxPavlo
Imaginary friends also
texasfoodman
My wife has been working on financial math all week for a class and it’s utterly confusing. They have their own special set of rules
It’s infuriating that you always have to have a positive and a negative with no logic of why
kickmyballsrealhard
As a data analyst student, I feel this
I didn't come across anything like that in my econ classes - what sort of unique rules?
So it’s to do with having 5 things, but only 3 of them can be a negative number, and not being sure which.
The book is “foundations of finance” “the logic and practice of financial management” by keown, Martin and petty (last names)
graehall
Without imaginary numbers flight control centres at airports wouldn't work properly. They're necessary and useful!
Asian kid with glasses here, I dont understand why someone would cry over such easy things either
IsItawKWard
Cuz 7 8 9. :’(
MustardBoy2thaRescue
Superchief86
F for 9.
MrRandom314159
and i3+8=10
SnailsAgainstTungstenSpheres
Because he is a registered 6 offender
AxeCopIsMySpiritAnimal
7 8 9 because you have to eat 3² meals a day
poopknifeMAN
v
d1g1t4l3ntr0py
Finally, someone said something rational.
You’re nuts.
I’ve yet to see a case where imaginary numbers make things difficult
Sure. Multiply two of them.
WhyWouldYouReplyToThisGuy
i*i=-1
TrueSandwich
i*i=2i
AccidentalPhallacy
It's always bothered me that we say imaginary numbers but there's really only one.
If you're saying there's "one" imaginary number because there's one imaginary unit and infinite multiples thereof, its entirely 1/2
equivalent to the idea that there's only one "real" number - one, the unit number - and infinite multiples thereof. 2/2
How? If there were only 1 there can't be multiples of 1 because 1x1 is one.
The set of imaginary numbers is just the set of real numbers times i, that's what I mean by there's really only one imaginary number.
That's exactly my point. You just claimed that the multiple of a number is not a number. That is incorrect.
Imaginary, complex, and real are very unfortunate names that have no relation to the underlying concepts.
ipeoch
Try Quantum Chromodynamics. Up, Down, Top, Bottom, Charm, Strange...
Don't forget surreal and Boolean numbers they look beautiful (i have synthesia and see numbers as colours)
Right? I'm an electrical engineer, and imaginary numbers are used to quantity real things in my field.
dabomber60
That sounds cool, can you elaborate at all? I’d love to hear how those numbers get used in the world!
Norscope
When doing calculations on circuits that contain components like capacitors and inductors.You end up with a function that might have a
Complex solution which contains a real part and a imaginary part.
micotyro
The lesson is that science is bad at naming things
SebastianCrab
Can any mathematicians sin off on this statement?
FeltNokia
Math major here- types of numbers are poorly named. Complex numbers aren't immediately intuitive, but they're super useful in applied math
sha13
Systems Engineer here: naming is hard
Fulminology
As an RPG player, agreed.
Hismomoness
I think you misspelled- waitaminute,,,
artdecoasfuck
Ya, you could rename the "Real/Imaginary/Complex" number systems as "Regular/Cheesy/Regular-with-Cheese" numbers and be no worse off.
GeorgieLeech
Don't worry cos', I see what you did there
FartyMcDumpstein
"Natural" and "Transcendental" numbers are other poorly named sets. "Rational" and "Irrational" sort of make sense given "ratios."
keenharlequin
I think the most important thing to realize is that complex numbers are very much part of the physical world — they aren’t just a...
mathematical plaything. There’s an i in the Schrodinger’s equation. https://en.wikipedia.org/wiki/Schrödinger_equation
Solumnux
I’m just a junior mathematician, so I can only cosine off on it.
Sepulchrave12
Math PhD here: the names are singularly unhelpful in understanding what is happening with them.
Let's get real: the ideas are complex but the understanding is natural. It might feel imaginary, but mastery is transcendental. Quaternions.
Strong finish, there!
Wiznatts
I always thought they made sense if you start from the reals. With no real solution to root(-1) imaginary isn't a super weird name.
But why start from the reals? The reals are the completion of Q wrt |x-y|. And why call Q "rationals", when they're "ratios"?
OtherEdgeworth
Cause it has ratio in the name
Also I don't think they're any worse named than negative numbers, more people are just familiar with them.
Then complex numbers are more complicated since they make up a plane rather than a line.
The ones I didn't like were counting and whole vs the integers lol. □
The reals also form a plane. It's R^2. Any field forms any dimension vector space you want through Cartesian products.
13Alpha
i is my favorite imaginary number.
brainzeat
I don't care an iota about this
whiskyandsteel
Thank you all the maths people who came here to explain this. It made no sense, but I'm glad at least someone enjoys those crazy numbers
yetipc
imaginary numbers *solve* problems.
5GFPLaqZ4nAy2QwrqOEI
not really interesting tbh
LoopDog69
Until you find out VAR is a thing, induction my friends is real and uses imaginary numbers to quantify it.
shinyRK9
All numbers are imaginary
whateverthevoicestellme
Hilbert spaces hold the math for the universe
ChocoladeMelkSnor
The fact that we do math is proof of that we make our own problems and cry.
DavidBrooker
To be fair, imaginary numbers aren't more imaginary than real numbers, and real numbers aren't more real than imaginary numbers. The 1/2
DavidBrooker
names only separate conventions both equally of our own construction (or discovery). 2/2
WanderingMess
Well i does have enough uses by electricians that they have given it it's own symbol, j, for when they need to use it.
thetrout77
"i" don't know what you're talking about...
lostinamapfactory
The root of many imaginary problems can start with being negative
holyicon
Some might even say, The Square Root...
lostinamapfactory
"i" would agree!
SavagePatchKids
All numbers are imaginary. Some numbers are just more imaginary than others.
AtsaMattaForMe
ScientistFromSouth
You can accomplish the same thing as complex numbers via 2×2 square matrices, but it's gross and if you try to diagonalize them, you get i.
igollum42
What’s the square root of negative one? While you can’t create it or break it down, it does show up in math. So we have to give it a name.
GoodBrotherGrimm
42 is the most important number.
agerequirementisliterallyhitler
--edgy algebra 1 gang
TheUnstoppableWampas
We didn't invent them, we discovered what the universe was using all along.
Lipwigzer
The author prolly just dosnt understand math and resents those who do.
XYOjiL
sounds like someone is guilty of creating their own problem and is now crying about it
Coolguy12345678910111213141
A mistake plus keleven gets you home by 7
usernametakenisthestoryofmylife
You mean like the number ferb?
Vorphalack
Twentington.
TheDisscoPotato
I need this laugh ?
ControversialLeftistLesbian
IOnlyUpvoteBees
Ferb squared.
shyasen
The multiple of ferb is ferbies......I'll just let myself out.
Whatdoyousaytoanicecupoftea
NumberWang! https://youtu.be/0obMRztklqU
XLIILXIX
Or that one called zent
jackieshy
thats the number between 5 and 6 right? one two three four five ferb six seven eight nine ten
SirSparblington
You forgot flimp.. one two three four flimp five ferb etc
Tesseract09
Imaginary numbers just add an abstract dimension to represent things not expressible in a single linear dimension. Like how we need four
PballQhead
The complex number plane, with imaginary numbers, is just the Cartesian x-y plane in drag.
Tesseract09
Dimensions to properly represent 3 dimensional rotations.
Tesseract09
This going on my odd things people downvoted list
DeucesMongooses
Teacher wasn’t happy when I did my imaginary number homework on imaginary paper with an imaginary pen. Other kids thought it funny tho
dschuma
Lol you guys believe in numbers? Next you'll be telling me the earth isn't flat
WeMistbornsNeedNotMakeSense
GenFredburger
The detailed physics of electricity in conductors and inductors literally can't be explained without the use of imaginary numbers.
MrMineHeads
I mean they can, but they are made much easier by taking it to the s-domain.
deadandbloated
Hell, Maxwell wrote down the eponymous equations without even using vectors. It's convenient and elegant, but not necessary. [Physics PhD]
innagaddavidababy
There are several treatments that explain electromagnetics without complex numbers.
Kingsdotter
What do they use instead?
Papabadger
Magic.
MrMineHeads
i=L*dv/dt, v=C*di/dt
ChilledOutEntertainer
This is incorrect. Imaginary numbers are an extremely useful mathematical device, but nothing is directly explained by them.
ZAPZAPMOTHAFUCKA
This is incorrect. reactive power on AC circuits is mathematically explained with complex and imaginary numbers.
ChilledOutEntertainer
My point was that complex numbers don't correspond to any physical entity, as is the case with complex reactive power.
ZAPZAPMOTHAFUCKA
But reactive power IS a physical entity. AC induction motors literally don't work without it.
ChilledOutEntertainer
In retrospect, I agree with you. I can't say i doesn't exist but minus 1 does.
dabrick31
Who’s crying about imaginary numbers? They’re like the easiest thing to deal with
TheComputerScientist
Yup, imaginary numbers are the best
FlowVector
Mathematician here: complex analysis (advanced stuff with imaginary numbers) is the most beautiful math I've ever seen.
Flabort
i^5=i, and that's my favorite thing ever
catholiccolor117
Sqrt(i*e) is ez apparently
drheathen
They have a tendency of inserting themselves into already challenging problems
nevinera
Clearly haven't taken complex analysis..
NutellaElephant
Eulers identity should be foundational and taught sooner. But I’m an engineer so my opinion doesn’t really matter when it comes to teaching.
BuoyCall
i
SyllogismeJazz
Statistician here. Agreed.
OverSpiced
All numbers are imaginary. They ain't real!
theirarefourlights
That is one mathematical philosophy but not the only one. https://m.youtube.com/watch?v=1EGDCh75SpQ
sqfin
It's all a conspiracy by big arithmetic to sell more calculators
Aplesuace
They probably suck when you do quantum CPU.
def3ctive
They also make hard things easier to deal with, they're basically the best numbers.
MrMineHeads
Circuit analysis would be so much harder without them
SeriousCloud
That's why we imagined them.
Rawrihazshotgun
also we didn't invent mathmatics
asm80dfa8sdfj
Didn't we though? Mathematics is our way of measuring things that happen. Mathematics is a scale. The numbers and ideas existed and we made
asm80dfa8sdfj
a way to figure it out. Running with the scale idea, humans weighed numbers before we invented scales. Scales just made it understandable.
Rawrihazshotgun
We may have made the symbols and instruments to study math, however the process of things happening is natural. Math was discovered.
SwedishFlopper
Dude imaginary numbers are the bees knees
magila
Wait bees don’t have kn.....ahh I see what you did there.
reynman17
I dont?
BourbonAndBeethoven
Bees’ knees are imaginary.
MadMaxPavlo
Imaginary friends also
texasfoodman
My wife has been working on financial math all week for a class and it’s utterly confusing. They have their own special set of rules
texasfoodman
It’s infuriating that you always have to have a positive and a negative with no logic of why
kickmyballsrealhard
As a data analyst student, I feel this
DavidBrooker
I didn't come across anything like that in my econ classes - what sort of unique rules?
texasfoodman
So it’s to do with having 5 things, but only 3 of them can be a negative number, and not being sure which.
texasfoodman
The book is “foundations of finance” “the logic and practice of financial management” by keown, Martin and petty (last names)
graehall
Without imaginary numbers flight control centres at airports wouldn't work properly. They're necessary and useful!
WeMistbornsNeedNotMakeSense
Asian kid with glasses here, I dont understand why someone would cry over such easy things either
IsItawKWard
Cuz 7 8 9. :’(
MustardBoy2thaRescue
Superchief86
F for 9.
MrRandom314159
and i3+8=10
SnailsAgainstTungstenSpheres
Because he is a registered 6 offender
AxeCopIsMySpiritAnimal
7 8 9 because you have to eat 3² meals a day
poopknifeMAN
d1g1t4l3ntr0py
Finally, someone said something rational.
innagaddavidababy
You’re nuts.
dabrick31
I’ve yet to see a case where imaginary numbers make things difficult
innagaddavidababy
Sure. Multiply two of them.
WhyWouldYouReplyToThisGuy
i*i=-1
TrueSandwich
i*i=2i
AccidentalPhallacy
It's always bothered me that we say imaginary numbers but there's really only one.
DavidBrooker
If you're saying there's "one" imaginary number because there's one imaginary unit and infinite multiples thereof, its entirely 1/2
DavidBrooker
equivalent to the idea that there's only one "real" number - one, the unit number - and infinite multiples thereof. 2/2
AccidentalPhallacy
How? If there were only 1 there can't be multiples of 1 because 1x1 is one.
AccidentalPhallacy
The set of imaginary numbers is just the set of real numbers times i, that's what I mean by there's really only one imaginary number.
DavidBrooker
That's exactly my point. You just claimed that the multiple of a number is not a number. That is incorrect.
innagaddavidababy
Imaginary, complex, and real are very unfortunate names that have no relation to the underlying concepts.
ipeoch
Try Quantum Chromodynamics. Up, Down, Top, Bottom, Charm, Strange...
catholiccolor117
Don't forget surreal and Boolean numbers they look beautiful (i have synthesia and see numbers as colours)
ZAPZAPMOTHAFUCKA
Right? I'm an electrical engineer, and imaginary numbers are used to quantity real things in my field.
dabomber60
That sounds cool, can you elaborate at all? I’d love to hear how those numbers get used in the world!
Norscope
When doing calculations on circuits that contain components like capacitors and inductors.You end up with a function that might have a
Norscope
Complex solution which contains a real part and a imaginary part.
micotyro
The lesson is that science is bad at naming things
SebastianCrab
Can any mathematicians sin off on this statement?
FeltNokia
Math major here- types of numbers are poorly named. Complex numbers aren't immediately intuitive, but they're super useful in applied math
sha13
Systems Engineer here: naming is hard
Fulminology
As an RPG player, agreed.
Hismomoness
I think you misspelled- waitaminute,,,
artdecoasfuck
Ya, you could rename the "Real/Imaginary/Complex" number systems as "Regular/Cheesy/Regular-with-Cheese" numbers and be no worse off.
GeorgieLeech
Don't worry cos', I see what you did there
FartyMcDumpstein
i
deadandbloated
"Natural" and "Transcendental" numbers are other poorly named sets. "Rational" and "Irrational" sort of make sense given "ratios."
keenharlequin
I think the most important thing to realize is that complex numbers are very much part of the physical world — they aren’t just a...
keenharlequin
mathematical plaything. There’s an i in the Schrodinger’s equation. https://en.wikipedia.org/wiki/Schrödinger_equation
Solumnux
I’m just a junior mathematician, so I can only cosine off on it.
Sepulchrave12
Math PhD here: the names are singularly unhelpful in understanding what is happening with them.
deadandbloated
Let's get real: the ideas are complex but the understanding is natural. It might feel imaginary, but mastery is transcendental. Quaternions.
Sepulchrave12
Strong finish, there!
Wiznatts
I always thought they made sense if you start from the reals. With no real solution to root(-1) imaginary isn't a super weird name.
Sepulchrave12
But why start from the reals? The reals are the completion of Q wrt |x-y|. And why call Q "rationals", when they're "ratios"?
OtherEdgeworth
Cause it has ratio in the name
Wiznatts
Also I don't think they're any worse named than negative numbers, more people are just familiar with them.
Wiznatts
Then complex numbers are more complicated since they make up a plane rather than a line.
Wiznatts
The ones I didn't like were counting and whole vs the integers lol. □
Sepulchrave12
The reals also form a plane. It's R^2. Any field forms any dimension vector space you want through Cartesian products.