It is sometimes hard to... understand. To look at a formula and not "understand" it is like a torture for me. The questions that run around in my mind are: "Is it proven/Where does it come from/How can I imagine it, if possible" etc...
About the proof of a formula I can bring an example from my own schoollife:
Today, we solved an exercise about a cone and in the end, the teacher asked us: "Do you have any questions". I asked: "I'd like to see the proof for the formula ( V = 1/3*S*H) (I am in the 9-th grade)." But he said that the formula is too hard to prove at the moment - due to my knowledge about geometry.
Believing a formula without a proof for its correctness is a real torture for me...
How do you cope with formulas, that you have not seen a proof for?
Now, what about imagining a formula?
Let's take a "simple" one:
S = a * b
It's for calculating the area of a rectangle.
We are all different personalities and we all think in our own unique way and our imaginations are different too...
When I try "imagine" how the formula works, I think of 2 sides... Then I "multiply" one side with another and the other 2 sides of the rectangle form in front of my eyes.
That was an easy one.
But now, let's take a "harder" formula: A = I * I * R * t (Physics. The work that the electric field does).
I mean, how do I imagine I * I? How do I imagine I * I * R? multiplied with time!?
Even if you are able to imagine it, imagine formulas that you can't imagine!
How do you deal with that?
Do we even need to be able to "imagine" a formula?
For me, it's a real torture to live without a proof and/or "imagination" - it goes for all the areas that i have mentioned in the topic of this non-programming-related post.
And what is understanding afterall?
thanks for your time...