In this video I demonstrate how to show, that if a≡b(modm) then aⁿ≡bⁿ(modm) using mathematical induction. These workings can be used for Further Pure Mathematics 2.
If you have any questions related to this video, pop them into the comments section and I will respond as soon as I can.
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https://www.twitter.com/tiago_hands
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https://www.youtube.com/watch?v=31lcZekvNnA
In this video I demonstrate how to find percentage changes between two different values. The technique shown in this video is used in financial mathematics, and more broadly, when dealing with shares and currencies.
Not only will you understand how to calculate percentage changes after watching this video, but more importantly, you'll be able to come up with the percentage change formula by yourself.
My videos are designed to help individuals think indepedently and critically.
*This video is not investment advice and nor do I encourage you to speculate with currencies and take financial risks. Seek professional advice before engaging in investing, as you risk losing all of your money and even going into debt.
Video Credits:
Video made by Tiago Hands: https://www.instagram.com/tiago_hands
Tiago Hands at Mathematics Proofs: https://www.instagram.com/mathematics.proofs
Animation Credits:
https://pixabay.com/users/tommyvideo-3092371/?tab=videos
*The animations in this video were described as 'free for commercial use' by Pixabay.
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https://www.youtube.com/watch?v=fBoUf2DTzko
Recursive Mathematics Art: Boxes around Quarter Circle
Art by:
https://www.twitter.com/tiago_hands
https://www.instagram.com/tiago_hands
Watch on Instagram:
https://t.co/a6gStsZhmz
Watch on TikTok:
https://www.tiktok.com/@mathematics.proofs/video/7161060706270317829?is_copy_url=1&is_from_webapp=v1&lang=en
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https://www.youtube.com/watch?v=c25wIU5tCFE
Prove that a/sin(A) = b/sin(B) = c/sin(C), the quickest way. Honest.
Learn how to come up with the sine rule proof as quickly as possible. No need to memorise thousands of different formulas, which in reality are virtually almost identical. Watch this video to find out how it can be done.
Video by: Tiago Hands (https://www.instagram.com/tiago_hands/)
Extra Instagram Resources:
Mathematics Proofs (Instagram): https://www.instagram.com/mathematics.proofs/
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https://www.youtube.com/watch?v=pdvShRoiRCE
cos(A-B)=cos(A)cos(B)+sin(A)sin(B) proof - geometrical
To find out how the diagram was created and also to look at its fine details, visit the link below:
http://mathsvideos.net/2016/09/29/how-to-prove-that-sina-bsinacosb-cosasinb-geometrically/
Video created by Tiago Hands:
https://www.instagram.com/tiago_hands/
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https://www.youtube.com/watch?v=gDOGT6NcD60
In this video I demonstrate how to create new lines within one cell in Open Office Calculator 4. This CTRL+Enter trick is handy, as it allows you to keep your text within a narrow boundary, ensuring it doesn't overlap other cells or traverse your screen.
Along with videos about mathematics proofs, I also share tips on how to use the free spreadsheet software Open Office Calculator. As I know many engineers, physicists, accountants and mathematicians use spreadsheets, I thought this video would be very useful.
For more of my updates, you can follow me on social media via:
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For extra mathematics proofs content, go to:
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https://www.youtube.com/watch?v=W9sN7xQmAwM