I agree. I need to use it in a book somewhere.

new favorite quote

-Vi Hart 2013

Yes, that got caught in my cool-trap, too! Reminded me of an early SNL routine, I believe it was Christopher Guest and Gilda Radner: GR: That's so cruel! CG: Well, Gilda, sometimes you *have* to be cruel. GR: To be kind? CG: No, to be *even crueler!*

Why does the copied comment have more likes? Look at the comment below people!

+Vihart You should write a book!

+WeAreTheInsurgents she exceeds that. She is a mathmatical Goethe.

***** You do ;-)

+AWWSHEET Grossly underestimating her fanbase, bro.

+lowiigibros I went to Goethehaus once. I am quite fond of the few weeks I spent in Germany. I like to think her fanbase is one of the more cultured ones.

Same.

Essentially, yes, she has. Which is why the alternate name for this video is "On the Nature of Mathematics as a Whole by Victoria 'Vi' Hart"

lerch25 this is so beautiful

Logarithms are elementary algebra skills. This is a topic you won't even see in an undergraduate class let alone a master's thesis... I've got news if you think this is remotely tough. lol

Eric You could extend an explanation of addition all the way to real analysis, and I guess you COULD still call it 1st grade math.

The world of mathematics is becoming daunting for people and I don't understand why. I suppose its the failure of the common core method. Students these days just are not nearly as able. Regardless if it is elementary level or not.

haha you sound like such a creep

Learner-Learns "beautiful hands"...?

Winter Summers This was not algebra.

Does everyone have to be a stickler for everything? Do you not realize that this is the basis for algebra?

elleveldy Algebra is just arithmetic. If this isn't algebra, then what is?

Peter Thomas Jesus, just google algebra ffs

Okay. "Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process." This video is talking about the patterns of arithmetic, algebra (at least the regular kind familiar to any high school student) is literally just an application and shortcut of these EXACT same patterns. It's not something else, it's just a short hand way of dealing with things like "3 times a distance plus 5 times the same distance, is just 8 times the distance." You don't even have to know what the distance is because it works for ALL of them, because Algebra is just shorthand of arithmetic with unknown values (at least as taught in high school).

Dat Epic Fish That pun though!

she is!!!! look how many people learned/relearned what logs are and now can see how they work and even possibly smell them, she taught us all a little bit of that

School teachers don't get much freedom in the curriculum. Making youtube videos is much more effective in that sense.

And she's amazing at it. :D

Wait till you see the rest of the videos then, it'll be your dream come true.

Clearly, you need to stop and smell the factors.

or clearly WE CAN START MATHS ALL OVER AGAIN xDD or not o_o...

listen again it's worth it

Yeah most math communicators do have a fair amount of formal math education, and then they put their own spin on it. So im sure she's aware

Why don't you change it.

potato 123 I did recently, forgot to update the comment. It used to be "illdiewithoutpi" but now it's "illdiewithouttau". Doesn't rhyme anymore, but I can justify it better.

but hey tau rhymes with you, right?

No.

illdiewithoutpi I still see pi there!

I believe the latter is far more likely.

Nicholas Hernandez Either way, cheaper in the long run. :D

CTVadim So would that be -1, -1, -1 kids?

Math, man. Math.

Hey, I'm 23 and I don't even know what Logarithm is.

you just my every thing that ill need in life in to 9 min and to that i give you a : )

Tyler Chandler I wish every single elementary, middle and high school teacher saw this video, changed how they taught math and then students would have more time to do more interesting things! If someone asked my advice I'd say, "Learn EVERY SHORTCUT you can" and that "YES, the teachers ARE trying to trick you - you're not imagining it." Thanks Tyler, your comment made my day!

: o yyyyaaaaaaaaaa

Mind if I join you?

Nah, be my guest. Misery loves company.

This isn't the best introductory video to logs. Go and learn about logs from a textbook or teacher etc, and then you'll be able to appreciate the video :)

Olii Sant I learned it from Khan Academy. www.khanacademy.org/math/algebra/logarithms-tutorial

2+3 is 2 add one 3 times. 2*3 is 2 times itself,2, 3 times. Both of the inverses of these functions are simple as 2+3 = 3+2 and 2*3 = 3*2, so for instance it doesn't matter if you ask "What times 3 is equal to 6?" or "What do you times 3 by to equal 6?" because however you define division you will get 6/3 = 2. Now instead of adding itself 3 times we now look at 2^3 which multiplies 2 by itself 3 times, which is 8, so it makes sense for the inverse to ask "What to the power of 3 equals 8?" which is ³√8. But what if we want to know what 3 is to the power of to equal to 8? If you use the same inverse function we have ³√8 = 2 but 3^2 = 9, not 8, so instead we have logs as a second inverse function and say log(3) 9 = 2 which asks "What to you put 3 to the power of to equal 9?"

oplz oplz Derivatives and Integrals, gah! I can do them perfectly on paper, but I just can't fully understand them as the concepts that they are!

jane smith yeah

No, it’s not the teachers, according to Vi. It’s the bad curriculum.

+princeofexcess Vsauce did an awesome video about that

+Daniel Corkhill link

+Luna Don't be lazy - You have the name, you have the topic, the world is yours. Go now

You can try looking up the website khanacademy! I really recommend it :)

The only things you'll ever need to know about sin and cos (that can be used to jog your brain about every other property of sin and cos) 1: upload.wikimedia.org/wikipedia/commons/0/08/Sine_curve_drawing_animation.gif If you go around the perimeter of a circle and trace your x co-ordinate over time or your y co-ordinate over time, you create a sine wave. Sine waves and circles are two sides of the same coin. Furthermore - if you imagine a right angled triangle as having one point in the center of the circle and the hypotenuse being the radius of the circle, you can use this fact to jog your memory about which ratios of sides give you which trigonometric function, etc! 2: If you draw a sine wave, then draw a second wave on the same chart that, at each point, goes higher if the sine wave is currently ascending, 0 if the sine wave is currently flat and goes lower if the sine wave is currently descending, you get... a cosine wave! That is, the cosine wave is the derivative/differential of the sine wave, and therefore the integral of the cosine wave is the sine wave. (-sin and -cos fill the gap if you keep differentiating/integrating.) 3: For bonus points, learn the Taylor Series for sin and cos and why they are that way: www.khanacademy.org/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/maclauren-and-taylor-series-intuition

You're kidding, right?

why?

This comment put a smile on my face. Thank you.

LucAs Bune lol I feel the same way.

L.O.L.

+CorpseTongji The child will learn this more fast than you can imagine.

Nah, that'd teach them to sniff markers and get high talking about logarithms

+LowestoftheDead And are you saying this is worse than what the current education system produces?

Joey Nah I'm joking, videos like this would increase education by 2x2x2 :)

Really? Because I'd think that even a child could understand this.

As the lady said, "to make the hard things easy, sometimes you have to make the easy things hard."

Jordan Shank I am a child I understand kind of

You might want to check out Knuth's up-arrow notation: en.wikipedia.org/wiki/Up_arrow_notation

Hyperoperations and the successor function. You're welcome.

Why?

Why what?

Brittany Malone Why did she blow your mind?

Because I've never looked at logarithms in the way she explained.... I thought that was pretty self explanatory.

Brittany Malone Yeah, well, usually that's the way logarithms are introduced in elementary or junior high schools. I can't imagine a different way to present them. So, in my opinion this is not mind-blowing at all. How were logarithms presented to you??

oopsie... ha! no, not noticed but you are right :O

NO WAY i actually didn't and that's extra funny now lol

that just has sense in english and not in every english spoken place

@@Xayuap most puns are unique to a language, thats just how it is

@@an3_omx not just to a language, they're even unique to a defined culture, place or niche

-Sarah- this is gold

and thats just at the half way

-Sarah- pls

I'm using this to teach my pre-calc class :D

You don't listen/think do you?

Guy That what were YOU thinking when you wrote this? Honestly, just wondering

@@arqamislam3877 probably that the stuff she's talking about is simple if you just listen or that she doesn't really talk about it properly or she's confusing But I don't remember this video

@@guythat779 I think vi appeals to a specific type of person. For me, I enjoy mathematical truth more than most other things, but I'm also tragically intellectually lazy. Vi's very good at giving you just the right framing of logic to allow a glimpse at the simple majesty of mathematical truth, without having to do the hard work required to gain a real, deep, intuitive understanding of it.

Matt McIrvin same here haha

+Matt McIrvin just some temporal corrections.. I am going to quote that. "Sometimes to make the harder things simple, first you have to make the simple things harder." There that is better.

But how that's any good? It's "you'll get it when you'll know all basics", which is rather trivial and obvious.

​@@KrzysiuNet To me it means that the simplest way to explain a thing is not always the most general or extensible way to explain it. Sometimes you have to go back and reformulate the simple things in a form that seems unnecessarily elaborate, so you can extend it into a new realm.

OK, thanks! Now I got what you mean :)