Jump to content

File:Bolzano–Weierstrass theorem - step 3.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 552 × 149 pixels, file size: 25 KB)

Summary

Description
English: # A bounded sequence on the real number line with one of its lower bound and one of its upper bound .
  1. We take the first interval .
  2. Now we split the interval into twi equally sized subintervals.
  3. We take this subinterval for , which contains infinitely many members of
  4. Then we split again into two equally sized subintervals.
  5. We take this subinterval which contains infinitely many members of
  6. With continuing this process we get nested intervals. The point being in all those intervals is an accumulation point of .
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
  • 1. step of Bolzano–Weierstrass theorem
    1. step of Bolzano–Weierstrass theorem
  • 2. step of Bolzano–Weierstrass theorem
    2. step of Bolzano–Weierstrass theorem
  • 3. step of Bolzano–Weierstrass theorem
    3. step of Bolzano–Weierstrass theorem
  • 4. step of Bolzano–Weierstrass theorem
    4. step of Bolzano–Weierstrass theorem
  • 5. step of Bolzano–Weierstrass theorem
    5. step of Bolzano–Weierstrass theorem
  • 6. step of Bolzano–Weierstrass theorem
    6. step of Bolzano–Weierstrass theorem
  • 7. step of Bolzano–Weierstrass theorem
    7. step of Bolzano–Weierstrass theorem
SVG development
InfoField
 
The SVG code is valid.
 
This vector image was created with Inkscape, or with something else.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

4 February 2016

media type

image/svg+xml

checksum

320fed91197bd4d8dc7a516b3d5b8cb68b3cb1a2

determination method or standard: SHA-1

data size

25,424 byte

height

149 pixel

width

552 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current20:06, 4 February 2016Thumbnail for version as of 20:06, 4 February 2016552 × 149 (25 KB)Stephan Kullanew version
17:55, 4 February 2016Thumbnail for version as of 17:55, 4 February 2016552 × 149 (21 KB)Stephan Kullabetter version
16:24, 4 February 2016Thumbnail for version as of 16:24, 4 February 2016552 × 148 (20 KB)Stephan KullaUser created page with UploadWizard

The following page uses this file:

Global file usage

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikipedia.org/wiki/File:Bolzano–Weierstrass_theorem_-_step_3.svg"