Hey everyone. I’m an undergraduate math student at an OK university. My thought is that in order to stand out, I need to publish AMAZING research and/or do extremely well on the [Putnam Exam](https://maa.org/putnam/) and [ICPC](https://icpc.global/)competitions. I’ll be posting here to track my progress. I’ve already made my PAO.
In the Training Phase:
To track progress, there will be several metrics.
So far: Reproducibility - Rewriting code verbatim Memorization - Rewriting the problem and solution to math problems Image Recall - Recalling images in my palaces. Speed - Mental Math Scores
In the Testing Phase: Problems solved - Self descriptive Time to solution - Self descriptive
Of course, I’ll be testing myself with problems in the training phase, but with less emphasis.
All is subject to change.
I would love suggestions.
Training is hard. Training is especially hard when I have to get through a textbook and then encode and memorize. This past week has been focused on getting better at mental calculation and developing what should be a good system for training.
Anyways, I think I’ll have all the aspects of training done in a day or so. An app might accompany it, but that is in the distant future.
Wow, it’s been a long time, and for good reason, but I’ll get into that at the end.
I’m still developing the PAO system (because every subject has its own symbols), but boy is this fun!
I just had the most joyful experience, and I’ll share it quickly.
There is this theorem that has come up in my linear algebra textbook that goes like this:
3.56 columnrow factorization Suppose A is an m-by-n matrix with
entries in \mathbb{F} and column rank c \ge 1. Then there exist an m-by-c matrix C and a c-by-n matrix R, both with entries in \mathbb{F}, such that A = CR.
Credit: Linear Algebra Done Right By Sheldon Axler
Okay, you don’t need to know this, but there is another quite beautiful theorem that says
V = A \oplus B, and there might be absolutely no connection here, BUT in my mind there is, and that is essence of discovery. Beautiful.
P.S. Haven’t posted in a while in part because I started 2 new jobs, and in part because I’m lazy. I’ll go back to studying now.
Don’t give up. You got this
My recommendations based on my personal experiences with maths:
Use AI to solve exercises and quickly resolve mistakes made.
Take notes of the parts where you made mistakes or the error and write down the solution, that is, when you solve the doubt, write it down as you understand it at the time, since it is often thought that it is solved and then you make the same mistake again and you have to solve it again from scratch.
Memorizing formulas: this is the simplest part of all, remembering that it is the equation and not the solution to it, to solve the problem you must practice with exercises
3.1 You can create pegs for the letters of the alphabet, but you will have to add more pegs for some of those letters so that they don’t cause you confusion. I usually add any image with the initial of the letter I need. When I have already used the same letters too many times with my characters, which I multiply every week, that is to say 260 characters every week memorizing 52 per day, I used to do more but for now less is more, you can memorize 26 characters with the initial you need and divide it by 5 days, which gives you about 5 characters per day, prioritizing the ones you need the most, for the Greek letters you can create your DTP, OP, AP, etc., however you want to create it, for mathematical symbols you can generate actions or substances, for example, a minus symbol can be an act of disfigurement or destruction, for division a substance of destruction, that is to say objects or dead things, for addition acts of creativity or improvement and multiplication substances of creativity, etc. You can develop the tools as you need them, which makes the process simpler.
For mental arithmetic, everything is practice, that is to say, you set yourself daily, weekly and monthly goals that you must commit to achieving. Without this it is difficult to obtain results, as you will have to force yourself to be faster every day, every week and every month. There will be failures and there will be progress, which is part of the gradual process. I started with tricks for mental arithmetic and then moved on to the Soroban abacus. In other words, you progress and acquire a greater interest.
In your notes, explain the mistakes made and what the confusion was. Explain in your own words and then show the correct solution that you learned.
