Isometry | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-06-27

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Isometry


00:00:13 1 Introduction
00:01:46 2 Formal definitions
00:03:59 3 Examples
00:04:46 4 Linear isometry
00:05:40 5 Manifolds
00:05:46 5.1 Definition
00:06:50 6 Generalizations
00:09:40 7 See also
00:10:48 8 References



Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.

Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain

Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.

Listen on Google Assistant through Extra Audio:
https://assistant.google.com/services/invoke/uid/0000001a130b3f91
Other Wikipedia audio articles at:
https://www.youtube.com/results?search_query=wikipedia+tts
Upload your own Wikipedia articles through:
https://github.com/nodef/wikipedia-tts
Speaking Rate: 0.9325572531031795
Voice name: en-US-Wavenet-A


"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
=======
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.