Intereting Posts

Curve enclosing the maximum area
Prime and Primary Ideals in Completion of a ring
Galois group of $\mathbb{Q}$
Arbitrarily discarding/cancelling Radians units when plugging angular speed into linear speed formula?
How to get the limits of rotated ellipse?
Induction: $n^{n+1} > (n+1)^n$ and $(n!)^2 \leq \left(\frac{(n + 1)(2n + 1)}{6}\right)^n$
Complex differentiabilty
Smooth functions for which $f(x)$ is rational if and only if $x$ is rational
Proof that Epicycloids are Algebraic Curves?
Problem with Abel summation
Example of linear parabolic PDE that blows up
If a ring element is right-invertible, but not left-invertible, then it has infinitely many right-inverses.
What's the quickest way to solve $3^i \equiv 1 \mod 28$
Proving that a function satisfying $|f(x)-f(y)| \leq |x-y|^3$ is constant
My formula for sum of consecutive squares series?

I just watched this video on Ted.com entitled:

Joshua Foer: Feats of memory anyone can do

and it got me thinking about memory from a programmers perspective, and since programming and mathematics are so similar I figured I post here as well. There are so many abstract concepts and syntactic nuances that are constantly encountered, and yet we still manage to retain that information.

- Prove that the exponential function is differentiable
- Need a result of Euler that is simple enough for a child to understand
- When to learn category theory?
- Is this way of teaching how to solve equations dangerous somehow?
- Quotient geometries known in popular culture, such as “flat torus = Asteroids video game”
- How do I explain 2 to the power of zero equals 1 to a child

The memory palace may help in remembering someone’s name, a sequence of numbers, or a random story, but are there any memorization techniques that can better aid those learning new math concepts?

- How to convince a math teacher of this simple and obvious fact?
- Easy example why complex numbers are cool
- Gaining Mathematical Maturity
- Why limits work
- Definition of definition
- Getting Students to Not Fear Confusion
- Examples of results failing in higher dimensions
- Do complex numbers really exist?
- Resources for a curious beginner mathematician
- How to self study Linear Algebra

You shouldn’t try to learn mathematics through memorization at all. It will get you nowhere: anything that can be memorized can be looked up these days. What you should try to learn is the underlying concepts and the way they relate to each other. If you understand those well enough, you won’t need to memorize anything.

Think of learning mathematics as being like learning, say, chess. Would you learn how to play chess by memorizing openings? Well, maybe that could work, but it’s probably a better idea to learn how to play chess by, y’know, playing a lot of chess.

For math there is no better way to remember than to just understand. Though the time required to reach that point may be too difficult to forget.

If you say that the techniques that exist to help memory are amazing, I would not disagree. Visualization, they say, is the best way to memorize. I have not seen or heard of the “memory palace” other than what you wrote here and maybe in passing on an infomercial one time or another (am I correct in understanding it as a visualization technique?) I can say that I believe in the power of any visualization that helps in understanding or even just remembering mathematical concepts. The difficulty is in finding the personal imagery that works. Only after much meditation have I ever found such imagery that works for me on any particular problem I am considering, but it would not be something I could translate in order to benefit the random person.

For propositional logic operations, you can remember their truth tables as follows:

Let 0 stand for falsity and 1 for truth. For the conjunction operation use the mnemonic of the minimum of two numbers. For the disjunction operation, use the mnemonic of the maximum of two numbers. For the truth table for the material conditional (x->y), you can use max(1-x, y). For negation you can use 1-x.

While some of the comments above have some validity, I can see you just needing to memorize some quick formulas. I do agree practice makes perfect. But what many of the memorizers AND Joshua Foer said is yes, they are tricks but they FORCE you to memorize things. And Foer goes on to say that they aren’t even really tricks. They are actually harder to do that just doing it, because you’re kind of setting up a safety net in your mind, and it often involved preparatory work.

Anthony Metivier is another memory “guru” who.. I guess.. throws out all forms of memorization stuff EXCEPT the “memory palace” (google it if need be). Though, while he focuses only on memory palaces, other systems like the Major Memory System, (where you associate the phonetic alphabet with numbers) make guest appearances.

http://www.magneticmemorymethod.com/mmmpodcast-episode-003-memorizing-mathematical-formulas/

https://litemind.com/major-system/

^^^^^More info here^^^^^

So, in Metivier’s mind, if you have this..

**notice vowels and w, h, y are ignored**

..you can associate formulas with words like:

C2 = CaN (You keep the c, ignore the a, use the n)

‘=’ becomes an image of something meaningful to you, he chooses to use a FLAG

A2 = yawN (again, since you’re ignoring the letters y, a, w, you can place them anywhere to make words)

‘+’ = this becomes another image of your choice- try using a cross, or hospital symbol

B2 = Maybe this is BuN, BaNe, etc.

Now, he went a slightly different (I believe more complicated) route. I simplified this for you if you’re new.

You now have images. You throw them into a story. And he would say “USE A MEMORY PALACE TOO!”

The idea would be you would walk through.. say.. your house and in your mind, you’re placing these items in your house, in order.

Anyone into memory techniques will say to use your own images, your own words, your own palaces. Do not expect to find any Website on memory palaces and have things mapped out for you. Things like the Major System and Peg System will suggest things for you but if they aren’t “sticky” TOSS THEM OUT.

Read more on building memory palaces and rules for doing so.

Other sources:

The Bible of Memory folks-

Google “The Memory Book” by Harry Lorayne

This one focuses on academics-

Super Memory Super Student by Harry Lorayne

- Positive Integers Equation
- another balls and bins question
- How to prove that compact subspaces of the Sorgenfrey line are countable?
- Where are the axioms?
- An outrageous way to derive a Laurent series: why does this work?
- Equality of positive rational numbers.
- What's up with Plouffe's inverter? Is there an alternative?
- The expected payoff of a dice game
- Integrable but not differentiable function
- Why is a geometric progression called so?
- Prove the following equation of complex power series.
- A Putnam Integral $\int_2^4 \frac{\sqrt{\ln(9-x)}\,dx}{\sqrt{\ln(9-x)} + \sqrt{\ln(x+3)}}.$
- Length of the tensor product of two modules
- Calculating the differential of the inverse of matrix exp?
- Solutions to Diophantine Equation $x^2 – D y^2 = m^2$