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Do you visualize equations abstracly when doing math?
Would you care to elaborate?Yes and no
to the questionYes and no
is actually way better than it appears at first glance. What sounds ironic is indeed what takes place.Do you visualize equations abstracly when doing math?
I visualize ##c^2=a^2+b^2-2ab\,\cos(\gamma)## but do not visualize ##\Gamma^°(\mathfrak{sl}(2,\mathbb{R})) \cong \operatorname{PSL}(2,\mathbb{R})\,.##Would you care to elaborate?
Thanks ! You made my day ! (seriously)is actually way better than it appears at first glance
Well, I have some difficulty understanding formulas and equations because I can't imagine what they mean: I need a 'mental picture' and have some difficulty contructing it. Math costs me energy for that reason. So I was wondering if I am just doing something wrong or that mathematics is not the game for me... Also, I'm very curious how other people and mathematicians process mathWhat did you have in mind when you posted your question ?
I visualise that you forgot a parenthesis in therebut do not visualize ##\Gamma^°(\mathfrak{sl}(2,\mathbb{R}) \cong \operatorname{PSL}(2,\mathbb{R})\,.##
Wouldn't worry too much. It doesn't look as if you intend to be the one to solve grand unification or quantum gravity.Well, I have some difficulty understanding formulas and equations because I can't imagine what they mean: I need a 'mental picture' and have some difficulty contructing it. Math costs me energy for that reason. So I was wondering if I am just doing something wrong or that mathematics is not the game for me... Also, I'm very curious how other people and mathematicians process math
Wouldn't worry too much. It doesn't look as if you intend to be the one to solve grand unification or quantum gravity.
Try to find out what your ...
Funny, I'm allergic and hypersensitive wrt printing errors, yet I missed that one ! Must have the same angle as @fresh_42
This is another good advice. Math doesn't equal math. The way of thinking and visualizing can be very different depending on the specific field. Here's a list of which I think does have different points of view and therewith different ways of anticipation:... strenghts [strengths ] and weaknesses are in the learning process: exploit the first as much as you can and challenge the latter now and then, just to see how it feels -- you don't have to master everything.
Lol. Karma is a ... (But to be honest, the spell checker underlined it, for otherwise I wouldn't had recognized it.)strenghts [strengths ] -- put that one down to excitement: my 2 fingers (!) can't keep up
I should refine that: I can "see" the "workings" of variables in the equation like the ones in the nominator contributing to increasing growth and the ones in de denominator contributing to decreasing it, except if the values of the variables shrink under 1, in which case we have the reverse. I have difficulty imagining the effect in an equation of a square root because most of the time it contains a whole equation in itself. And I know the deravative of e^{x} is itself so it grows proportionally to its own value, which is relatively easy to imagine. And so with a derivative, we have the speed of growth also.Well, I have some difficulty understanding formulas and equations because I can't imagine what they mean: I need a 'mental picture' and have some difficulty contructing it. Math costs me energy for that reason. So I was wondering if I am just doing something wrong or that mathematics is not the game for me... Also, I'm very curious how other people and mathematicians process math
yes, and I do math daily. What helps me (visually oriented) enormously is grabbing a pencil and sketching partial dependencies. Nowadays taking excel and plotting a function is a piece of cake, so that's the next (emphasis: not the first) step.some of you recognize this sort of thing
And I love chalk and a blackboard! Way better than a computer.What helps me (visually oriented) enormously is grabbing a pencil and sketching partial dependencies.