Question:
Outline how Einstein's and Planck's views of Science differed in relation to Science research being influenced by society an politics.
I can't remember anything about this and I'm having trouble finding the information needed. Can some one please help me understand what is is that...
I know what it looks like, I'm just curious about what the displacement would be for non-real x values - but it seems to be that for ##x=f\left( t\right)##, x cannot be complex.
~| FilupSmith |~
A few months ago, I stumped my Mathematics teacher with a question when we were learning about displacement of a particle, given a formula. For example, ##x=t^{2}-t-1##, where x is in meters and t is in seconds.
Anyway, she made it very clear how to solve displacement when given time t...
I looked it up and i believe the only difference is that \tfrac or \frac allow for text sized fractions (great for 1/3, etc.) while \dfrac is best for formulas! Thanks none the less!
Differentiation by first principles is as followed:
$$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) -f\left( x\right) }{h}$$
So, assuming that ##y= e^{x},## can we prove, using first principle, that:
$$\dfrac{dy}{dx}\left( e^{x}\right) =e^x$$
Or is there other methods that are...
Ah, thank you for that! My mistake aha. You are right, gravity is the effect caused by the curvature of space time just like how the speed at which the tennis ball moves towards the bowling ball if due to the curvature of the trampoline!
So, today we were studying the introduction of probability. For me it is fairly simple (for now).
My question is something we discussed during class today.
When betting on a horse before a horse race - say, a race of 5 horses, the odds ARE NOT 1/5 because the odds are not equal (eg. one...
As you mentioned, gravity effects spacetime - just as a bowling ball does on a trampoline.
What you wanted to know is about gravity having speed - what i want to correct is that gravity doesnt have a 'speed' as such. Gravity is an attraction - like a magnet. Magnets do not have a speed, but they...
Just like the post above, but I'd like to add a few more details.
Have you ever looked at your shadow when it bright and sunny? Move your hand further away from the ground... what will happen is that the shadow will look blurry. Why? As the above stated, diffraction comes into effect BUT more...
Hi, I'm trying to learn LaTeX and one of the things I'm trying to figure out is what is the difference between \frac and \dfrac?
I mean, look:
\frac{a}{b} is: $$\frac{a}{b}$$
\dfrac{a}{b} is: $$\dfrac{a}{b}$$
Other then the thickened line, is there really any difference?
Thank you...
Having a positive or negative area indicates its direction above or below the axis.
For example:
$$ \int^{1}_{0}-x^{2}dx=\left[-\dfrac{1}{3}x^{3}\right]^{1}_{0} $$
##= -\dfrac{1}{3} ##
This indicates, that between x=0 and x=1 for x2, there is a 1/3 area2 DOWNWARDS (below the x-axis in...
I thought so, I initially noticed this when solving for t. Because e kind of disappears once you take the natural log. I guess its really for convenience?
None the less, thank you very much!
~| FilupSmith |~
[I don't know if this is in the right topic or not so I hope I'm all good]
My question is related to the exponential growth and decay formula Q=Ae^(kt).
Simply, why is the value e used as the base for the exponent?
Does it have to be e?
If so, can anybody tell me why? Thanks
~| FilupSmith |~
What you have to remember is that when you draw your unit circle, you need to remember ASTC.
The region which 180-θ falls in is the second quadrant — or, the S quadrant. In this quadrant, only sin is positive. So cos(180-θ)=-cosθ
Hope this helps
~| FilupSmith |~