I think he's asking if there's a physical basis for the idea that a circle is an infinite number of points at radius R from the origin. Whether or not idealized models of physical reality exist outside of the mind is more of a philosophical question than a physical one I think.
Think of the Earth itself. If you stand still on the Earth, are you really standing still, or are you moving at an angular velocity of 7.2921159 × 10^{-5} \frac{radians}{second} (the angular velocity of the earth)?
The velocity of the object in the inertial reference frame would equal the...
Homework Statement
As shown in the plot above, terminal velocity is shown to increase linearly with the number of coffee filters dropped in a turbulent (air) medium. Therefore, terminal velocity depends on mass. Give an explanation for this starting from Newton's laws.Homework Equations
\vec{F}...
What? I was asking if the solutions manual even exists, and if any stores had it for sale. I'm really not sure how I can copy a solutions manual that I don't have, or what I would do with a copy. :rolleyes:
Maybe my question isn't worded well? :biggrin:
I've been googling all over for a solutions manual to the book Basic Mathematics by Serge Lang, but I've only been able to find one for his book on geometry. It's not a terrible problem, but I'm using the book for self-study. At first it seemed that any exercise with multiple parts had at least...
Good thing I posted on here! That's more or less what I thought; that stating two arbitrary specific points would allow it to be made general for the whole line. Thanks for your help everyone.
So:
If F(L) and F(K) are not parallel then there exists point F(P) on line F(L) and point F(Q) on...
It's not very formal I understand. I'm working through Serge Lang's Basic Mathematics and I'm using the facts that I've been given. Maybe I should've mentioned that.
Hey guys, just wanted to get a quick check that this proof is sound.
Homework Statement
Let L, K be two parallel lines, and let F be an isometry. Prove that F(L) & F(K) are parallel.
Homework Equations
If P and Q are points on the plane and F is an isometry, the distance PQ = the distance...
All wonderful advice for someone pondering a career in science. I'm keeping this study as more of a hobby than anything (sorry if my previous post misled). I have my mind set on doing it online as I'm most comfortable learning on my own, and simply don't desire a full time career in the field...
Twofish, I don't know you, so I don't expect you to have much faith in my words, but I'm an 18 year old who is fascinated by the world but disillusioned with academia. I'm working on some math review and then plan to dedicate myself to my studies in physics and math, entirely with online and...