Added: 5 years ago
From: TheMathGuy
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  • That's exactly the kind of problems you might run straight into, and still not having a clue, - if you just see and enter the algebraic expression from left to right, and don't understand or care how to calculate the expression. This is why infix/algebraic calculators shouldn't be used in education. On my old first generation HP 49G in 'exact' + RPN mode, I do:

    3 1/x 'x' STO 7 'y' STO 1 ENTER x y 1 - 2 / * - EVAL x 3 ^ EVAL ^

    And correctly get 0. 'RPN' is "do by hand", while "thinking".

  • I lost it at 0:35

  • hahaha my calculator worked!

  • Thumbs up if you stopped watching at 6:35

  • any1 aware that he typed x^3 in the calculator?

  • my Sharp EL-W516 writeview calculator gave me the right answer :(

  • Your calculator is wrong. Mine, on the other hand, has quite correctly responded to my input.

    Including the graphical functions too, actually.

    Understanding what display parameters to use with the intent of most closely rendering a desired function is the human's responsibility.

    It is just a tool that mirrors our own abilities, if anything is wrong it is we..

    Oh, and 0^0 = 1.

  • @alessan 0^0 is undefined.

  • @austin777136

    Let me rephrase, as I did not have the space to say it the best way I could.

    "0^0 = 1" is an axiom, it's effectively 'set' to that value for the sake of being incredibly practical and stopping us from needing to impose special cases on various elegant and vital formulae.

    At a higher level it deserves reanalysis and restatement as: The limit of x^x as x tends to 0 is 1. And that is 100% correct.

  • I typed that in my calculator and it said it was right. :X

  • Re: the "NERRRRD!" comments:

    I find it depressing how we celebrate those who display more physical/sports prowess than the average person, yet ridicule people who are smarter than average.

    What a sad society.

  • you're a nerd!

  • No, my calculator is right.

  • my calculator gave me zero for that first thing, you should just get a better calculator

  • why can't they stack the red blue and green pixels in 3 layers so that they are true-white when zoomed in on? like if this was a zoomed in side view | | | first line RED Second line Blue third line green (or put red in the back, blue or green up front since they're a bit softer) and it'd be transparent layers so that the colors can penetrate all layers. a tripple layer LCD sandwich

  • Cheesy intro, but anyone who can explain roundoff errors and so on that well, gets a "Like" from me!

  • Wolfram Mathematica got it right, but then again, it is Mathematica

  • "because your calculator is using binary, and we're using decimal"

    the calculator is using insufficent tools

    if it is wrong it is ultimately human error

  • chuck norris's calculator is always right, no matter what the answer

  • My TI-34 MultiView (non-graphing calculator & costs ≈ 20) got exactly 0 ☺

  • You get the right answer when you use a TI89 :P

  • Rip of of Bill Nye the science Guy

  • All the first part proves is that abuse of rounding and misuse of a calculator generates bad answers. A calculator is a tool. Use tools correctly and you will get satisfactory results. If you are one of those who use a screwdriver as a chisel, well, I can't say anything positive, can I?

  • wtf weird noices?

    and yes i ate some mushrooms

  • Let's see. *Types 9+7* *Answer = 16*.

    This video is a failure

  • @mainchow10 How? Symple math is not a fail.

  • @BillyTheMilkMan They told us not to trust our calculator. I'm pretty sure 9+7=16.

  • @mainchow10 Yea, so how is it a fail?! D:

  • @BillyTheMilkMan I already gave you a reason. Now YOU tell me. Why is this not a fail?

  • @mainchow10 Im not asking if this video is a fail, im asking why this math is a fail >:I But ill give you an answer: Cuz he actually made a video proving and defending his opinion. I wouldnt question it, and i wish alot of people in this worl wouldnt either. -_-

  • HIS VOICE SCARES ME...

  • ALIASING!? Text uses colors to give a soft look to it. When an image loses color quality it is because it uses lossy compression which changes the file a bit to make it a smaller file size. If you use .png(a non lossy compression), your image will not be messed up.

  • My graphic calculator answers that right ... it uses symbolic algebra, operating over the real domain without rounding the value, it can even solve integrals and other stuff with maximum precision, rounding the final value only if requested by the user.

    However when tracing a graphic aliasing problems might occur, as there is a discrete number of points on the screen while the graphic has an infinite one :]

    Nice vid, the title only describes half of it though...

  • @ogatobranco Tell your calculator to integrate "x^(1/2) * e^(-x)" dx, from x=0 to infinity. If it gets the exact answer of sqrt(pi)/2, then I tip my hat.

  • @scoreunder,

    Nope... can't give sqrt(pi)/2 .. it shows the integration unsolved showing sqrt(x)*e^(-x) in the inside with x 0 to infinity ... if I force it to compare the integration with sqrt(pi)/2 using an equality it shows as being false :P lol, my calc in wrong indeed when forcing approximation, the result differs at 13th decimal digit :P

    Funny though ... it can solve integration of -1/2*e^(-i*x)-e^(i*x)/2 for x from -inf to inf with -sin(x) as result :D

  • Well, My calculator wasn't wrong. I think you need to get a new one ;)

  • Mathematica got zero too!

  • My TI-NSpire gives 0.

  • google got it right if you want to check go to google and at the end of the url put /webhp?sourceid=chrome-instant­&ie=UTF-8&ion=1&nord=1#hl=en&s­ugexp=gsihc&xhr=t&q=(1-(1/3)*(­(7-1)/2))%5E((1/3)%5E3)&cp=29&­qe=KDEtKDEvMykqKCg3LTEpLzIpKV4­oKDEvMyleMyk&qesig=lG_gEgFk4dx­NAzrc__Jpvw&pkc=AFgZ2tkjrzDV

  • QBasic gave .2500000000000001 on double precision floating point. It gave me an error on single precision floating point. For Windows calculator and Google calculator I had to replace the x's and y's myself and they both gave zero.

  • fuck I have never been so bored in my life

  • Vector graphics here, enjoy your aliasing.

  • My calculator is right! I got zero!

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  • my TI-89 gave me 0

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  • Is he trying to copy Bill Nye the Science Guy with his intro?

  • The pixel part, for some reason, makes me SICK!

  • NATE THE MATHEMATICS GUY

    NATE

    NATE

    NATE

    NATE

    NATE

    NATE

  • i liked it except for the ear rapage

  • Well, the basic rules of math dictates that you should always start by doing the ^ signs, so your calculations is completely useless...

  • @Beaverman20 Pemdas boy, pemdas

  • @gummyfail i'm gonna look that up now... so thank you, i learned something new :D

  • OK, so you've got integer aliasing problems otherwise known as interference with the base sample rate. The Moiré. A big problem with audio.

    One of my favourite ideas which goes hand in hand with this is the relationship between the number of digits and the depth of the base, and the collapse of the relationship once you reach either infinite base-depth or infinite word length.

    There is a thing called vector computing. You're rasterising vectors. Then there's vector interference. mm.

  • Obviously you have an old calculator, that can't procces a float correctly and the problem might be with your calculatr algorythm to calculate the 27th root of 0

  • FAIL. I got zero on my MK-85 :D

  • u fuckn nerd

  • its because your calculator is more exact than you are. of course you get .303... by hand you would obviously get zero.

  • i spit on my screen

  • Well I stopped watching at roughly 6:41

  • My calculator isn't wrong, yours is. I use wolfram alpha.

  • thats because it rounded the 1/3

  • nothing bad has ever happened *BEEEEEP*

  • Shanon's sampling theorem - Sample at a rate twice more than the maximum frequency in the signal - Or Anti Alias - remove frequency in the signal such that max frequency remaining in the signal is twice more than what your device can show...

  • zeeeooouuup! xD

  • XD

    ALL waht you are saying is true but you're forgetting something Math is made by peoples years and years ago so blame your self that you didn't thought of that dumbass

  • @vleesevlons you sound black... and by that i mean you sound like you have the I.Q of a chimp...

  • @sprjcube Racist it's a fact i am fucking smarter than you so fuck you bitch you IQ is below 60 bitch mine is 134

  • @vleesevlons lol, whatever you say man... look it up though, blacks have an average IQ of 85. They actually had to lower the minimum IQ in order for you not to be mentally retarded because of black people. Its not racist, its just statistics and facts, so don't go playing' the race card, OK?

  • My calculator isn't wrong. I feel very sorry that yours is. However, if this comes as any comfort to you, the Casio fx-85ES is quite affordable.

  • thats a nerdy video much

  • nerd.i mean i myself am REALLY smart.and yes imafirenmahlazor123, u copied bill nye the science guy. plus the introduction looks like it was copied by mythbusters.

  • Nate, your use of the words "Your calculator is wrong..." is annoying and ambiguous. Do you mean to tell the mfgr's/programmers that THEIR calculators are wrong, or are you telling the viewers that OUR calculators are wrong? A bit presumptuous not knowing what kind of calculators we have. For instance, my Casio CFX-9850GB+, (and yes, I know about the famous algebraic OOO bug it has...) did get the answer on this one exactly right. I'm sure it's not the only one, either. Just saying.

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  • it's funny because my calculator gets it right!

  • u copyed bill nye the science guy

  • uhhhhh

  • i got zero on my ti-84

  • What in the holy fuck is wrong with you during the graphing part. You don't have sound effects, SO JUST DONT USE SOUND EFFECTS. You tell us "you can think", so why don't you take your own advice. Every time you go "doop doop durp durp" over your own video, the viewer CAN'T hear what you're saying, the content. Nobody is watching this for your "super rad" sound effects, they're trying to listen to you. You're actively trying to make sure nobody can hear you, and that people click stop.

  • stupid calculators, how the hell do you expect to take over the world? Oh and another thing. When I play COD (black ops) I get a kill death ratio of 12/0 while my buddy gets a KD of 12/1 who's record is better and why? Please only prove your answer using math.

  • stupid calculators, how the hell do you expect to take over the world?

  • sorry, but im re-installing everything on my gf's comp....sigh....you are interesting and exciting compared to ......

  • if only you've had some higher quality video as i cant see all of it =S

  • Sorry bro, but Mathematica didn't get it wrong.

  • my calculator showed the characters WTF

  • waste of time.

  • thats off bill nye?!?!

    

  • Awesome! I'm just a nerd mathmatics girl who actually joined the math club at my middle school. I love all videos to do with math. My favorite teacher is my math teacher. His daughter is a close friend. My world revovles around math. This shows why I always do long division and old school multiplication. Your brain is much more trustworthy. I <3 Math!

  • my calculator says:

    0 - 1 = FFFFFFFFFFFFFFFFFFFFFF

    is it trying to say the f word?

    or is it just an overflow error?

  • I think any new calculators can do this .) BUT I tried to be sure :) casio 991MS can do this

  • Comment removed

  • 06:29 FFFU-!

  • this'll sound mental but i have to ask: wanted formula for working out combinations. eg - 10 nodes - how many different unique links exist there if each node is joined to each other node once? i was told the formula is just multiply it by itself, so that'd be 100 in that case. but the answer is actually 45.

    do u know what the right formula is?

    it's like what i got told, but then 1/2ed & -5. but that's not it exactly cause it'll be out by 1 or 0.5 as soon as the 10 is changed to another number

  • My calculator (Casio fx-991ES) is right!

  • ur doin it wrong

  • NERDS

  • My ti-83 gave me 0 for that function in the beginning.

  • Fail Bill Nye rip off, much?

  • Didn't know that calculators had aliasing issues?

    Always thought it occured only in conversion from analog to digital, and more so when sampling rates aren't high enough, or is that just quantization? Never completely understood the concept of aliasing (not even in audio), although I got a pretty good grasp on the Nyquist theorum.

    Pretty cool vid ^_^

  • calculator's can't do fractions, this isn't news...

  • Hey, I just wanted to say I really liked this. I'm a graphic designer, so I already knew what Anti Aliasing was, I just never knew the math be hind it, and how it worked. Nor why they ever did the coloring thing.

    Though these days with rounded pixels and even higher res screens it's becoming alot less impotent, it's still interesting!

    Hope you can upload some new intresting vidoes!

  • Hey, I just wanted to say I really liked this. I'm a graphic designer, so I already knew what Anti Aliasing was, I just never knew the math be hind it, and how it worked. Nor why they ever did the coloring thing.

    Though these days with rounded pixels and even higher res screens it's becoming alot less impotent, it's still interesting!

  • Your calculator just sucks. I have one that's about 10 years old that can do this right....

  • 6:12 "your calculator cannot ever do that" (< think). Oh no? *unleashes very angry strong AI graphing calculator that shoot's all the pixels it got wrong (which are a hell lot)*

  • Is it correctly understood that the Color anti-aliasing uses the same idea as the Lanczos anti-aliasing, just taking into account the position of RGB dots in a screen?

  • he is my inspiration. he is the first person who told me i can think

  • i got bored after like a minute why am i even watching this

  • This is incomprehensible dribble. Mathematics is the devil.

  • Stop hacking your calculators!

  • i stopped watching this cause its about math only watched to 1:06

  • TI-83 Plus gives '0' as a result when the first problem is executed, with as well as without using variables.

  • "But to say that int is integer arithmetic with bounds and overflow conditions is to say that it is not integer arithmetic. Similarly, to say that float is real arithmetic, with approximation errors, is to say that it is not real arithmetic." - Bruce Mills

  • Now I have to think :(

  • the nates sound they were said from a cave

  • hmm, the sound effects were pretty funny, but the math itself only lasted for about 5 mins, the rest was about computer graphics... lol

  • why u gottta be insulting my calculator?

  • It may be interesting to know that the Firefox calculator plugin "Status-bar Scientific Calculator" actually produces the correct result. I tried entering (1-(1/3)*((7-1)/2))^((1/3)^3) and returns 0 just fine.

  • i don't think your average calculator has artificial intelligence...

  • huh......thats pretty cool! AND I AM NOT OBBSESED WITH YOUTUBE I JUST FOUND THiS INTERESTING!!!!!!! i bet i know something u dont! the square route of pi is 1.17793x!

  • dont like the way you talk, couldnt take it

  • wow... the calculator completely failed at graphing the cosine one lol.

  • Confused?????!!!!!!

  • "You can do what your calculator can't. THINK!!!" I did not know that. lol

  • my TI-89 was able to perform the calculation correctly without any problem (of course, the TI-89 is also advanced enough to perform symbolic algebra and calculus--symbolic integration and differentiation--the only thing it can't seem to do is, although it can take limits at infinity and of infinity, it doesn't seem to be able to resolve simple infinite series...that is, it can't find the sum of a converging series (even the simplest of ones))

  • how did you upload over 10 minutes?

  • Not all calculators are wrong. I just now typed that problem into my calculator, by the way it is a TI - 30X 2S (the 2 is supposed to be in roman numerals but I don't know how to type them), and it came out with 0 as the answer, not whatever you got.

  • i want you to be my maths teacher :P

  • i really dont care

  • hey hey hey dude i think ive found a bug in my casio fx-115ms calculator

    if i do 13965432109 - 4079879050 i get an answer 9885553050 but the correct answer is 9885553059 which i have verified with pen \ paper and the caclulator in windows and an online calculator.

    now i do not trust my casio at all :(

    any ideas?

  • @StarSeeker5000 Yep, you probably typed it in wrong on your calculator.

  • @GolldLining What a pointless, stupid reply. Seriously though, if you cant contribute then GTFO.

  • @StarSeeker5000 Looool xD And how the hell did you come up with that substraction? Were you just randomly playing around with your calculator one day -because you have no friends- and decided to check the answers it gave you? I mean... WTF?!

  • @GolldLining nope, I was helping my Nephew learn about maths using the khanacademy youtube channel. I wanted to stretch his knowledge and discovered the problem.

    Anyway, like I said before if you got nothing to contribute then why are you even here?

  • my calculator gave me 0.

  • sorry my mistake

  • 7-1/2 = 3.5 not 3

  • My ti-89 titanium tells me that your dumb equation is zero.

  • right about calc but your equations is bogus

  • guys, you are really not gettin the point. he doesnt wanne show you, that calculater are wrong, he just tells you, that calculater are machines and are restricted. so you shouldnt always trust computers, but you should think about your answers and see, if there have to be wrong. then you can change you options or better calculate it with your hand.

  • @whyismyusernameused very good answer man.

  • Ti 84 won't do 2a+5=35.

  • in the first problem you didnt used order of operations

  • @math guy, you are idiot, any machine that can calculate has precision, so you are wrong cause you don't admit it.

  • I learned quite a bit from this!

  • boooooooooooooooooooooooooorin­g .... who thinks in this things any way??

  • i sprayed ....uhh.. water... yeah..

    on my monitor screen very often =(

  • what command-line calc did you use

  • Ti-83 says 0.

    The title is lying.

  • achualy you just made it funny

  • 1- the sound effects were *really* annoying.

    2- instead of helping people get accurate graphs, you just show them that the calculator is wrong. Try giving them better calc settings.

  • @snoflake44 No shit Sherlock - the video is called "Your Calculator is Wrong". If you wanted a different video, go watch the video you want.

  • @snoflake44 I think you're missing the point of the video.

  • Casio CFX-9850GB agrees with 0

  • another great hungarian discovery :)

  • Lichtenberg figures are awesome.

  • the TI-84 Plus <8texas Instruments) also gives the right answers :D

  • lol the clauclator i made gets it right!

  • my calculator did it all right..u just failed

  • honestly... who gives a shit? lul

  • The one who experience aliasing in video fx.

  • my casio fx85es gives the right answer!

  • NERD

  • Lol it's true! it's incredibly boring and i already know what you are talking about... but i dont know if its because of sound effect or whatever i cant stop watching :)

    Im addicted to yt :)

  • buy a new calculator that can set more deciamls or less

  • antisemitism!

  • cool video for a mathematician, but the problem of spatial aliasing and finite precision (quantization) in calculators are different.

    computer graphic aliasing is a problem of plotting continuous functions onto a spatially discrete plane.

    this is unrelated to quantization, i.e. representing a real number as a finite precision binary number.

    so basically what im trying to say is that we don't need computer graphics anti aliasing filters because the calculator is wrong.

  • They are both the result of quantization no matter how you look at it. Pixels can only physically exist at a finite number of locations in space, the same way numbers on a computer can only represent a finite number of points on the number line. Now while floating-point arithmetic can change the nature of the error (points on the number line are no longer on a regularly spaced grid), the error still persists, just in a different form: round-off error.

  • Aliasing will be a problem any time you try to represent data on a regularly spaced sampling grid (be it one-dimensional or two-dimensional). That's why the aliasing on the plot of a function of one-variable, such as can be graphed on a graphics calculator, is still called "aliasing", just the same as it is in the two-dimensional plane.

  • Now granted: round-off error of floating point numbers is not exactly the same thing as aliasing, but it still fits into the same general category of "errors a machine can make by virtue of it being finite" and that's why I included it. You would not be able to visually "see" floating point arithmetic errors though--since they are by design very tiny relative to the size of the number itself.

  • aliasing really isn't a problem with round off error... its best to look at the problem after using a transform into the frequency domain, like a fourier transform.

    otherwise the motivation for using a lanczos filter (a windowed sinc filter) only seems like a good guess rather than what it is, an approximation of a low (frequency) pass filter.

    these errors (quantization - amplitude) and (aliasing - time) are on different axes.

  • this is a good video, anyways.

  • 1/3 does not equal 0.333333333333, it might be close but 1/3 cannot be represented decimally, right?

  • @majjinaran2999 if it is .333recurring then yes. sorta like pi not being 3.14159. but that doesnt recur

  • Yes, that is correct. The concept of a "repeating decimal" was invented to explain what a theoretical machine would do if it had an infinite amount of time and storage capacity, but of course no real computer can keep printing out digits forever.

  • What can be proven however, is that any arithmetic computation that would result in a theoretical computer printing out "0.333..." with 3's after the decimal point repeating forever, could only have been the number 1/3. Any other number would cause the computation to either stop or to at some point spit out a digit other than "3".

  • ( The way you would prove this, since you can't actually run a computation forever, is to show that the computation ends up in exactly the same state as some state it was in previously, and hence will do exactly the same thing over and over again )

  • Yeah, my TI-89 Titanium did work, it's 0

    you shouldn't use calculator free from the "cocoa Puffs"

    Use Mathlab or >TI-84 or something more new

  • I can't guarantee results for any other model of calculator than my own (a TI-85). If you're creative enough, I'm sure you can find a way to do it on your calculator too. If nothing else, you could look up which IEEE floating point standard it is using (my guess would be 32 bit) and that information could be used to tell which floating-point numbers it will fail on. The "newness" of the model of calculator doesn't fundamentally change anything. It just pushes the error back a few more digits.

  • i turned from a straight a student to a F student over the week!!

  • I got .653 on my computer...

    It annoys the hell out of me that I can't find my TI-84 silver edition so that I can prove she can do it! I feel like you're attacking me by critizising my calculator... Why not just have a go at my mother when you're at it?!