Mathematical Singularity In 3 Dimensions Demystified
What you need to know to understand this video:
The equation of a circle is:
(x-a)^2+(y-b)^2=r^2
However, when a=0 and b=0,
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https://www.youtube.com/watch?v=taEzWXyABSE
Canon in D Major with Geometric, Isometric & Perspective Art by Tiago Hands.
** A journey through dimensions, isometric and geometrical grids and also space and time with wonderful classical music. Compilation by Tiago Hands at http://www.mathsvideos.net. **
Music Credits:
Canon in D Major Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0 License
http://creativecommons.org/licenses/by/3.0/
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https://www.youtube.com/watch?v=7sbcFSwQgiw
In this video I show you a way to design a mathematical model based on the method which can be found in S1 Mathematics, Edexcel.
You can download the image in this video here: https://www.instagram.com/p/CDJr6K0jk8q/
If you like my work, follow me on Instagram here: https://www.instagram.com/mathematics.proofs/
To shop for A Level Mathematics books on Amazon, visit these links:
Old Edexcel Books: https://www.amazon.co.uk/shop/mathematics.proofs?listId=2898DASDIUPLA
New Edexcel Books: https://www.amazon.co.uk/shop/mathematics.proofs?listId=1U280XC5SGSQU
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https://www.youtube.com/watch?v=p2sOak36KU8
I will show you how to get the equation for the circumference of a circle (C=πd) using the constant of proportionality and the fact that when the diameter of a circle is 1, the value of its circumference is pi.
Please note: This video is strictly NOT about deriving the value of pi or searching for the value of pi. This is NOT a proof for finding pi. Do not be mistaken. However, what you do need to know is that in nature - we will find that if the diameter of a circle is 1, its circumference is pi (an irrational number).
I know that many of you might want a proof for pi, but this is not the purpose of this video. This video simply demonstrates a useful way to get the equation of the circumference of a circle - if in trouble in an exam. If you know that when the diameter of a circle is 1 - then its circumference is pi, plus you understand how to use the constant of proportionality - you can't get lost. The technique that I'm using can also help you come up with different formulas as well.
All comments are welcome, and thanks to your feedback - I have changed the title of this video and have provided a better explanation as to the message I'm trying to convey. Your views count and enliven and enrichen this space.
[The title of this video and its description was changed on the 29.10.2018 due to complaints in the comments section.]
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https://www.youtube.com/watch?v=j4U-iAVEqK8
What you *need* in order to follow this video series:
1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
2. Trigonometry skills:
- Unit circle {https://scontent-lhr3-1.xx.fbcdn.net/v/t31.0-8/14324643_627264727441617_168387912534466908_o.jpg?oh=ea3f9cec2389ced6eaa76830057e7d85&oe=58FE04F9}
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https://www.youtube.com/watch?v=PWWjsBXRJa4
In this video I show you how to highlight specific text in a list using conditional formatting. This video will be useful to anyone that has to deal with data or is reponsible for ensuring data is organised.
If you like this video, ensure you are subscribed to my channel for new / similar content. This channel is mostly related to mathematics content, but since many mathematicians / bookkeepers / engineers / accountants use spreadsheets - I thought this would be helpful.
You can follow me on Instagram via the links below:
https://www.instagram.com/tiago_hands
https://www.instagram.com/mathematics.proofs
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https://www.youtube.com/watch?v=nH0Deh0xxEc