Eight Wonders of the Mathematical World

[iamgig9876]

All of these are cool but the equation I find the best is neither of these but is the simple e=hv.

[kautilya33]

@iamgig9876

This shows that the wonders of the world cannot be enumerated.

[Linuxdirk]

There aren’t “wonders” is mathematics!

[vanvalldrey]

this video is ridiculous.

[midnightoilers]

its kinda like music theory. the theory explains what is already there and happening, music doesnt happen because of the theory. youre completely wrong.

[physjim]

There is only one mathematical equation you noob.

All the other stuff is physics.

[dskloet]

@physjim I counted 2 (Information entropy and Euler) but yeah, it's mostly physics.

[JupitersDancer]

@JupitersDancer ..in the other way.

[JupitersDancer]

@PawelKolasa ...Hum. Mass IS in Kilograms. Forces are in Newtons. And F= ma. Why ? Because your train can travel without acceleration and have forces applying on it. Like frictions of the air in one way, and the force brought by the loco to compensate.

[tyasaka]

The universe doesn't behave the way it does because of those equations; those equations exist because of the way the universe works.

[stonytina1]

So many errors in this video...

[PawelKolasa]

E=mc2 is mathematically invalid because c- is speed of light and it's constant. Therefore it boils down to m-which stands for mass.

However, the idea to multiply mass of an object with the speed at which it is moving, to supposedly calculate its "energy" is insane.

Insanity - Inability to tell true from false.

Criminal insanity - Inability to tell right from wrong. (Pawel Kolasa)

[ShadowRaven96]

E=mc^2 is wrong. E actually=m^2c^4+p^2c^2

[PhrozenTiger]

soo... you got eulers formula.. but not gauss formula? that e^(kx^2)-kinda thing? ...

tss tss tss...

[Kindiakan]

Physics

[PlayerDuce]

@Firesprink72 all inventions are discoveries, can you provide an example of something that was invented that didn't require discovery?

[Dara6611]

@Walsa69 The Drake equation?

[MrZaf12]

LAME

plus those are physics wonders and not math wonders. all with the exception of euler formula.

[Grass89Eater]

7 Wonders of physics and 1 of mathematics.

[oldi184]

"because of this equation"

"this equation force them"

I Lold mate. Tell me so our equations "force" mother nature to do something?

So in dark ages or in times of Ancient Roman bodies or earth have behaved completely different because these equations did not existed? Am i right?

[P4INKiller]

@oldi184 You're arguing semantics, I'm sure you got his point.

[Nerfherder3]

You forgot 137

[patham9]

this aren't wonders of the mathematical world... just models created with math.. math is not about "cooking recipes" also called formulas, it's about the implications of propositions.. But I agree that this models are good. But wonders about mathematics are things like: "there is no general algebraic solution—that is, solution in radicals— to polynomial equations of degree five or higher" - Wikipedia.

[laughaholic987]

@SolarNuke1 in a sense, they are mathematical wonders because we simply use the language of mathematics to model our observations in physics

[joblagz]

if you know what it is then they are "wonders" no longer..

[kautilya33]

@joblagz

When you look at the inanimate part of the universe everything is orderly and beautiful. The mystery and the wonder disappears if you look long enough. But what about the animate creatures in there? I am sentient, totally available for investigation without reservation, but unfortunately I do not even know where to make a beginning. An ancient philosopher says Know Thyself, knowing fully well that the Self will be a permanent wonder for all of us for all time to come.

[Entropy56]

Darwinism = religion.

[Mirivali]

I HAVE THE POWER -:D

[Mirivali]

1111 likes.

[PlayerDuce]

@j0rdyb0y62 It's really just a thing of language. Does the observed behaviour match the equation? Yes. But some one can create a complex equation that could predict you're reaction to certain things, but this equation would not be the real reason for you're behavior.

[SolarNuke1]

E = mc^2...err.. important, but more a wonder of physics... used to make electricity? what the fuck?

F = ma ... ok... important, but still physical

F = Gm1m2/r... not even an important physical

Black hole entropy? Wonder of the mathematical world? Do you even know what it means? Also black holes don't have infinite mass...

Information entropy... OK, most mathematical so far

Maxwell? No... again physical

Schrodinger? Physical

Euler. OK.

You got 2 out of 8 mathematical wonders there buddy

[CertainEvil]

@SolarNuke1 it's all maths

[thegreatestoffools]

0:11 Actually, that should say E2=m2c4+p2c2 :p

[IIZODIIAC]

When ONE explosion occurred at the beginning of the universe, maths was born because now nothing was something so 0+1=1, mathematics does not prove a god exists..

[GanadoFO]

@IIZODIIAC Cool story, bro.

[IIZODIIAC]

@GanadoFO Is that all you got? you wont contribute to a debate? i fell horrible for you sir i fell horrible.

[j0rdyb0y62]

@IIZODIIAC leave him alone, i was actually going to reply to your comment "your talking shit" it never made sense, but still cool story

[GanadoFO]

@IIZODIIAC Amazing. Me saying " Cool story, bro " actually upset you.

[Firesprink72]

@IIZODIIAC If all you have is 0, you can't have 0+1, unless you get a 1 from somewhere.

[Iamthewalrus3200]

people just dont understand that mathematics was modeled around the real world. humans developed the concept of mathematics to show patterns. however, the world is random with infinite variables and cannot be comopletely modeled, even with the highest level of mathematics.

[j0rdyb0y62]

@Iamthewalrus3200 chaos

[TheRealGeriBoss]

Hi. Black Holes don't have infinite mass, but nearly infinite density.

-

In fact the black hole's mass is equal to the collapsing star's mass (given that it hasn't started absorbing matter around it).

[2Lazy2Think4aName]

F = ma is a poor equation when calculating moving objects around the universe since objects around the universe since are moving at relative speeds approaching the speed of light away from each other. The Lorentz equations is the correct formula because of time dilation and space contraction.

[ihavekankles]

@2Lazy2Think4aName

so?

[MrAurelius1212]

the title of this video should be related with physics, not mathematics,

[PlayerDuce]

Things don't happen because of these equations, these equations are just models of our perception of things.

[343guiltyspartan]

@PlayerDuce

Couldn't have said it better myself

[j0rdyb0y62]

@PlayerDuce your right, but imagine if it didnt follow that equation , right both ways

[JesusFruit10]

@PlayerDuce I wish I could give you 100 thumbs up, i was getting annoyed by this guy saying that these specific things happen BECAUSE of the equations.

[dragontips]

@PlayerDuce

Well, tell that to my physics professor who erased F=MA from the board...shit got weird...come to think of it that whole 24 hours was weird after eating that brick of nutmeg.

[killia999]

@PlayerDuce exactly what i was going to write till i saw someone already wrote it... the physics is enforced because we can't do much to change it, the equations only exist so we can understand the physics...

[MiniGeek31337]

*reads text under the equations*

*FACEPALM*

[Firesprink72]

It has been said that mathematics is the signature of God. Numbers are simply imaginary abstract concepts, yet when applied to real-world situations, they explain everything there is. No science is possible without math.

[kautilya33]

@Firesprink72

Very succinctly put. Gauss and Riemann made no distinction between mathematics and physics.

[MrSqurk]

@kautilya33 I once had the worst Physics teacher in the world. She said things like "Maths has no place in Physics."

[spyros07]

@kautilya33 Just mathematics are way broader than physics. Kind of human brain 's capabilities frontiers...

[GameFrosts]

@Firesprink72 *cough* Botany *cough*

[tomaskvapil]

If you can count gravitation force from equation it doens't mean that you know what is gravitation !! The eqation only describe how to count it not what is behind this rules of nature

[cooter443]

funny, the one math equation of the bunch, and he misidentifies it. That is Euler's identity.

Euler's formula is e^(ix)=cos(x)+isin(x)

duh . . .

The rest are all physics equations.

[justbeelieve]

i think it is the phenomenon that makes possible the equation, and not the equation that makes the phenomenon work. the equation is just to define the phenomenon in symbols that we can understand and calculate. math is just a creation of man, the phenomenon is the creation of God.

[ReligionlessFAITH]

these are all based on erroneous logic supported by plato. The foundation of math is built on the law of identity as plato argued "what is, is." Expressed mathematically as A = A. It is more accurate to say what is, is unobservable, and therefore indefinable. What was, has been observed and verified, and if we had the ability to stop time, at a precise moment or interval, then maybe A = A. We can't stop time, so we can't assume this as truth unless we intuit a timeless reality..

[Superchild88]

Whats the name of this song?

[abhijithcr]

Does 'the end' count?

[drokles]

I like writing Euler's identity as e^(i pi) + 1 = 0, so that all the magic numbers are there.

[InfiniteMushroom]

Well, that was... interesting. I'm going back to watching Sam Kinison's 'Breaking The Rules' clips. Sam is closer to reality than these manmade abstractions.

[catholicmaxima]

hahaha. That was so cute, but no, these things do not happen because someone has written these equations...the equations are simply mathematical descriptions to explain what actually HAPPENS.And I would imagine this is only the tip of the iceberg. Remember that at the end of the 19th cent. physics was considered a closed science and that all that could be known was known. Earlier mathematicians like Descartes believed you could know God through the study of mathematics. Whatever happened?

[FreindlyRanger]

@catholicmaxima Justin Bieber.

[catchersmitt0]

The earth DOES NOT go around the sun because of that equation. That equation is a model of how the earth goes around the sun. Big difference.

[devinmusicman]

I'm in that nerdy place of youtube again

[tdurran]

Just finished watching a video which points out it's not really E=mc² but E²=m²c^4 - p²c². where p is the movement of the object. It's usually set to 0 for ease of elimination, but also to reduce the powers, both sides of the equation are square rooted which give us a negative solution also which leads to the discovery of dark matter. Check out the vid: E=mc² is wrong? - Sixty Symbols

Don't worry it's not a crazy guy. Real physicist (I think).

[kirkleblanc]

for instance - flush ya toilet - spin water - hurricane - tornado - galaxies...ect.. therefore - there HAS to be a center...



[kirkleblanc]

Icant prove Big Bang or God.. But I CAN PROVE that presure in the center of a vortex EQUALS the presure beyond...

[MrBauchnabbel]

its a bit sad to see lots of physics in that list. the equations (except the last one) are wonderful in terms of physical intuition but mathematically spoken just rather simple and a bunch of constants. dont get me wrong, the equations are important. but rather for physics then mathematics.

the last one is a pure beauty though :)

[olosvk]

Math is just a high abstract, modeling language. Nothing more, nothing less. Physics uses this language and other sciences will inevitably increasingly too.

[CUXOB2]

F=ma and F=G m1m2/r^2 do not belong here.

[AnonymousTheMusician]

eulers formula is the most beautiful formula in all of mathematics. any mathmaticians disagree?

[qpurr]

So can make electricity using just an equation eh? Best go tell the fusion researchers they're out of a job now.

[Kaynex]

"F=ma" is simply the use of force to create a relation between mass and acceleration. It doesn't force planets to move, but instead was created to help track their movements. I wouldn't call this equation a wonder, but the base of many more complex equations.

[dracolobo666]

well known fact 666 is the 36th triangular number. cool fact i found 222111 is the 666th triangular number.

[rusher1977]

yellow and blue makes green

[Slickster52]

How will any of this help me to get a delicious sandwich and a tasty beverage? I want those things more than I want my next breath.

[thevadidekizambak]

what is the name of the tune playing on the background?

[Postie218]

I wish I had a better understanding of math .

[maxthepwner]

Proved e^ipi - 1 = 0 the other day in Calc, made me feel pretty badass. XD.

[FSKLink]

Instead of e^î*pi = 1 you should write it e^î*pi-1 = 0 Now it contains 5 of the most fundamental numbers in mathematics e, pi, i, 1 and 0, and its true beauty is unlocked :)

[kirkleblanc]

SCHOOL EVEN HAD A MODEL OF ALL THE PLANETS REVOLING AROUND THE SUN.. LIKE MANY OTHER THINGS - NOT TRUE.. LIKE THE EGG, PEOPLE ATE IT RAW CUZ NO CALORIES AND THAT'S ALL IT IS - ONE GIANT CALORIE ~LOL~



[leotime429]

I think it's physic, not math except for the last equation =|

[kukufied]

hey please don't statements like "bodies move around in this universe because this equation force them" physicist describe laws of nature, not force bodies to move about by writing one derived equation

[beingnonbeing]

Thank you!

[MrYouMath]

This is not math ...

- E=mc² (Physics)

- F=ma or better = dp/dt (Physics)

- Newtons gravitational Law (Physics)

- Black Hole Entropy (Physics)

- Maxwells Equations (Physics)

- Schrodinger-Wave-Equation (Physics)

- Eulers Identity (yeah thats math!)

Alot of Math is involved in many of the physic stuff, but thats not really math ;-).

[ActualSubstance]

@MrYouMath Physics is math. Everything is math. 

[RuneDillen]

@ActualSubstance math is nothing but a way to descibe things. It's a way of looking at things, but it is and allways will be an abstractness. Mathematics are an important language for many sciences, but that does not move those sciences into the domain of the mathematics.

Just like the linguists can't claim theology to be part of linguistic sciences, you can't claim physics to be a part of the mathematical domain ;-)

[soccerben16]

@MrYouMath the point is that all these equations can be derived from math equations, it just so happens that they also precisely describe the physical world as well

[bikasran]

@MrYouMath Physics is maths which with physical meaning

[bikasran]

@MrYouMath Physics is maths which with physical meaning

[IIIB52]

Guys, these are equations explaining physics laws. Just because it is physics does not mean it isn't math. It is still based off of basic algebra.

[XZohar123]

@MrYouMath Eh, technically true. But some physics I think is beautiful enough to be "considered" real math, like general relativity, maxwell's equations, Dirac equations, because these things have intrinsic mathematical beauty outside of their physical awesomeness. Even GH hardy, who abhorred applications of mathematics, saw a great amount of beauty in some theoretical physicist's work.

[MrYouMath]

@XZohar123 You are right, but this stuff still remains in the domain of phyics. I will give my definition of Math: Math is everything that is derived with only using fundamental mathematical postulates. And in phyiscs one has to use non mathematical postulates;-), hence all this stuff is not mathematics q.e.d. :D. I think Heisenbergs Uncertainty principle could be included as math, but not F=m*a:D

[MrButerfinger]

@MrYouMath Eulers identity is used for real world use. {e^(i*x)}={cos(x)+i*sin(x)} or {e^(-i*x)}={cos(x)-i*sin(x)} .  This is used in engineering and other fields.

[livewire3624]

@MrYouMath Physics is just applied math

[TheMisfitable]

@MrYouMath they are all mathematical representations of our physical world

[renob2020]

@MrYouMath physics is just math applied. duh. its still math. just humans trying to define the world with numbers.

[Firesprink72]

@MrYouMath Are you saying that mathematical equations are not math? Naturally physics, chemistry, astronomy, geology, and every other science uses math, but math is still math.

[MrYouMath]

@Firesprink72 Why dont people call physics math, if its the same thing? I can give you the answer ... because they are not the same;-). Look i will try to explain it better: Math gives absolute truths which is true for all times, phyics gives approximated truth e.g. F=ma it later turned out that it had to be F=dp/dt(like Newton also wrote). Thats the reason, why ppl in physics never have theorems and only theories. You only see theorems in physics if math is involved(Noether).

[Firesprink72]

@MrYouMath We are all dazzled by your intellect, but did you bother to read my comment that you responded to? I never said that physics and math are the same thing, nor did this video. This video shows mathematical formulas and equations. THAT IS math is it not? You could write a formula that describes a ham sandwich. That doesn't mean that the ham sandwich is math, but the formula IS.

[CloudysGuitarChannel]

I understand everything! (not)

[StuPadazzo]

Elec01 and Nicky BG1 are right... make those corrections and you will have achieved your mathematical purple parallel.

[mrseximix]

dang i luv math but i dnt understand nun 0f dez equati0nz

[bobster451]

Now i understand most of it!

e^iπ = -1

[elvec01]

"F = ma" is correct only if the mass of the body remains constant during the process.

I suggest you to use "dp/dt = F", where p is the momentum, in order to generalize the equation :-)

[nickyBG1]

Eight Wonders of the Mathematical World ?

It's not mathematics ... it's physics...

math is just a language :)

[akacpkiller21]

Why is math so intriguing? I'm 16 and my friends laugh at me because I have discovered, for my self, a different world.

[EliseuV816]

@akacpkiller21 welcome to a young mathematician world man.

Here we love math but do not understand its deepest mysteries.

[Oshyrath]

All I knew was the first three.

[jimmypagepkr]

lovely

[metalprinc]

can you explain me Maxwells and Schrodingers ? those your "hints " made me more confused? cosimic dance? God's dice game? please? ^^

[kautilya33]

@metalprinc

Maxwell played with his equations and said that there should be electromagnetic radiation. Sure enough there was.

Schrodinger tells us that the dynamics of elementary particles are quite different from that of large bodies. Looking into the mystery of reality he ends up with the statement: Atman is Brahman.

There are scientists who looks at the happenings in the universe as the cosmic dance of Lord Shiva.

It is Einstein who once said that he does not believe that God will play dice.

[Seanze329]

Why are there so many dislikes? WTF?

[kautilya33]

@Seanze329

Truth emerges when there are differences.

[jamyro22]

@kautilya33 : you have forgotten the ultimate formula which unified Einsten, Newton , Maxwell, ... theories . Google " Gij,j=0 " or right here (YT) , " Gagut theory " or " African science of the universe " , Gagut math & metaphysics " ( 22 parts) , Dr Gabriel Oyibo : Shabaka stone & the grand unified theorem " (2parts) , " G oyibo & the riemann hypothesis " ( google), g oyibo & the Navier Stokes equation " ( Google Scholar ), Gagut books( Amazon.com) ... ect Peace;

[anonymous345]

@Seanze329

I guess because people expected mathematics from the title and the video is mostly physics.

[DinosaurSuccess]

do we really need an annotation in the middle of the video telling us how to play or pause a video, and what playing and pausing actually do? it's 2012

[kautilya33]

@DinosaurSuccess

I have removed the annotation.

[ballhockeymatt]

this is PHYSICS! math is the tool used to express these metaphysical findings by way of numerical interpretation. All these equations show a certain value for which genius theories are to be accredited for. These are not algorithmic patterns, but instead hardcopies of the foundation of the universe via symbolic representation.

[Gretgor666]

Shouldn't this list be about physics instead?

[fozymilograno]

@Gretgor666 LOL! I know that. But I am Physicist, so i feel like mathematics is just a tool, a very important tool. The areas of mathematics that aren't related with Physics, are not so interesting to science. Mathematics without application is just an abstract science. Just my opinion.

[Gretgor666]

@fozymilograno Combinatorics, for instance, has no clear applications in physics, but it's essential in the theoretical study of genome. Abstract algebra, particularly group theory, on the other hand, doesn't seem to have many applications in the real world, I have to agree.

[fozymilograno]

Indeed: 7 wonders of physics and 1 of mathematics.

Physics = Nature

Mathematics = tool for Physics

[Gretgor666]

@fozymilograno Mathematics is more than just a tool for physics, there are many mathematical areas who aren't in the least concerned with physics.

[kaseiv]

@fozymilograno "sounds" like another metaphor for The Law Of the Octave...

[kirkleblanc]

THE EARTH DOES NOT GO AROUND THE SUN. ALL PLANETS AND OUR SUN REVOLVE!

[kautilya33]

@kirkleblanc

A very valid point of view.

[YCDPKLD]

@kirkleblanc Ironically, one theory poses that the earth was in fact at the center of the universe... that's why we have redshift. Everything is moving away from the big bang still - except earth and the sun.

[tdjdk]

@YCDPKLD

Well, since everything (and everywhere) was gathered in a singularity that expanded, you can argue fairly well, that ANY point in the universe is the center, including earth. You could give the exact same argument for any planet, orbiting any star, and claim everything else is moving away from the big bang still - except said planet and it's sun. Redshift would measure the same there

[gregmdunn]

I only consider the last one a wonder of the mathematical world. The rest are math descriptions of physical laws, and may be only approximations of the physical law, either because we can't tell the difference or because of a limitation in our math language to express it. For example: F = ma is incorrect, yet it is close enough except at relativistic speeds. A more correct form is F = dp/dt (time derivative of momentum). Is that exactly correct? I don't know, but it's the best we've got so far.

[Aistee3]

Gravitational is good one, but the explanation is invalid.

[PelczarTomasz]

Very interesting is not only Descartes and His genius ...

[o0thisismyusername0o]

what about the theorem of pythagoras?

[kautilya33]

@o0thisismyusername0o

There is a whole video about Three-dimensional Pythagoras Theorem in Kautilya33 channel.

[JohnFHendry]

CERN's neutrinos in 453.6 miles: v-c\c=2.48e-5. Stanford's SLAC E158 weak force asymmetry gain based on the distance light travels in one hour added to the distance light travels in one thousand years in 453.6 miles is also 2.48e-5.

Why? Because E=m+{a}c2. And F=m+{a}a.

Here's what is happening. The neutrino adds space between the weak force and the strong force transferring the photons energy and if you don't add the value of weak force asymatry you come up short. The 4 forces are in phase.

[okzoia]

Equations don't cause anything; they are merely compact generalizations about the world that help us predict the future course of our experience.

[johnnytheprick]

"the goes around the sun because of this equation"?.............um, i dont think so. i think the suns movement/orbit predates "that" equation by billions of years.

that equation "explains/predicts" the movement of the earth around the sun.

[RoyalFirephoenix]

well...it's impresive to know that the whole world's harmony can be explaned in a mathematical way

[kautilya33]

@RoyalFirephoenix

You have said succinctly the crux of the matter.

[Cebulon007]

@ Daisiethecrazy

That 's what i thought, too ! Especially at Number three ....

[Daisiethecrazy]

None of these things are CAUSED by the equations; the equations describe these happenings.