1 / 1

-1 -.03

-1 -.03. 0. 1. 1.3 2.

hawa
Télécharger la présentation

-1 -.03

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. -1 -.03 0 1 1.3 2 Project the real number line from [0,1] up above (the blue dotted lines), and draw a ½ ellipse connecting the end points of the projection. Pick any point on the real number line and draw a straight line from it to the midpoint on the projection (these are the red lines). Wherever the red lines hit the ellipse, draw a straight line up to his the [0,1] projection (these are the black dotted lines). Thus, every point on the real number line can be shown to have a one-to-one correspondence to a point on [0,1]. This proves that the infinity of points on [0,1] equals the infinity of points on the whole real number line, stretching infinitely in both directions

More Related