Sunday, January 31, 2010

I see math!

Continuous and Differentiable!
No breaks or discontinuities in the line.

Continuous but not Differentiable!
Shark Mouth
Cusps are not differentiable

Non Continuous, Non Differentiable!
Jump discontinuity

This function still passes the vertical line test if it is inverted

Not one-to-one!
Alexander playing
Circles are not one-to-one


  1. Blizten,

    You've selected a bunch of really interesting photos that do a good job of demonstrating the different ideas, although it would help the reader understand your post better if you included captions to indicate what each photo is trying to represent.

    Also, I wonder whether it might make your point even clearer if you edited the photos with curves/lines to show which part of the photograph represents the function/relation that you see.

    Good work!


  2. Hello Blizten,
    really cool pictures. I like them, especially picture number four from the top. I'm still trying to figure out what it is... pretty cool one.
    I would guess that it represents a continuous, and differentiable function? ... maybe.

    I agree with Sarah, it would be very helpful to the reader of your post if you had what each picture represents.

    I also like that guitar. Pretty amazing color!


  3. Thank you both for your suggestions I have added captions which I think makes it a lot easier to see which line I am talking about. Adding lines or arrows to show which line I am talking about is a good idea too, I think the captions help with that though, let me know if there is still some confusion and I can add some indicators!