Soft Question- Mathematics Theorems

This is not a serious note, just something I was lying awake thinking about a while ago. Anyway, I had a few questions about theorems. First, how many of you have theorems of your own? How did you "discover" them? How common is it to find a new theorem? For example, can most proficient mathematicians develop a theorem, or are they not all that common?(By proficient I just mean someone who perhaps has a masters in mathematics, or similar. Not like Euler or anything, if that makes sense.) I am just curious. This has been a goal of mine for a long time, but I do not think I am intelligent enough to create one, so I was curious about the rest of the Brilliant community. Thanks.

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

hi I think I can help you. I am a boy passionate in maths.sometimes my mind goes thinking about problems and i have many a times thought to have develop a theorem but then when I search about it in the internet I find it is already discovered by someone. but I have never lost any hope and I keep on thinking. so never think you are not intelligent and keep on thinking.

ALEKHYA CHINA - 5 years ago

Hey, I've experienced the same thing you've described. Guess it is always good to remain optimistic, yeah? +1

Drex Beckman - 5 years ago

hello drex you seem to have a similar type of mind like me. Can you just tell me some theorems you had thought to have discovered but realized afterwards that it is a pre-existing one?

ALEKHYA CHINA - 5 years ago

@Alekhya China – I don't really keep track, but some that I remember are: Euler's sum of n terms, Fermat's test for prime numbers, Hilbert's Hotel (if that even counts.), the algebraic equation for Archimedes' method of exhaustion for finding Pi, and the derivation of the Pythagorean identities. I guess not super complicated stuff, but occasionally I would think I had stumbled on something small that I might have found on alone, only to see they had been discovered previously. But it was also cool to see that Euler, Fermat, etc. had found them.

But I'm not so important. I am more curious about you. What theorems have you rediscovered?

Drex Beckman - 5 years ago

@Drex Beckman – when I was small I mean in class 7 one day I was observing the difference between consecutive square numbers after which I noticed they follow the sequence of odd numbers. then I realized that whenever any term of this sequence of odd numbers is a square, the difference of the two numbers which I had taken along with this number becomes a pythagorean triplets.very silly you will laugh at it. now I am in class 9 and I have proved that 9 is the only neon number in the entire set of natural numbers.also I discovered a algebraic equation which every magic number follows. there are some more......I will tell you when it comes to my mind again. can you please tell me at which age you discovered the above written theorems?

ALEKHYA CHINA - 5 years ago

@Alekhya China – That is an impressive list of accolades, Alekhya. That's probably where we differ the most. I did not get interested in math until I was in high school, so these were when I was 16-17. Also I wish I would have been more interested when I was younger, as I was more concerned just with passing than finding the joy in it I do now. So I respect that aptitude you have. It is something that is very perspicacious (and rare). :)

Drex Beckman - 5 years ago

@Drex Beckman – did you appear for mathematical Olympiads in your school days? its good to see that you have interest for this beautiful subject.it doesn't matter which age you are. if you have more interest to learn about it then join www.cheenta.com Here online classes are conducted for school students and college students. email-helpdesk@cheenta.com

ALEKHYA CHINA - 5 years ago

@Alekhya China – Yeah, I did do math olympiad. I will look at the website you gave me. I am looking for a place to start from the basics and learn more, you know?

Drex Beckman - 4 years, 12 months ago

@Drex Beckman – what was your rank, marks and result?

ALEKHYA CHINA - 4 years, 12 months ago

@Alekhya China – I couldn't tell you precisely. I got an award for more than 50% correct. This was back in 6th grade. So I suppose not the best, but not terrible for being about 12 or 13.

Drex Beckman - 4 years, 12 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$