Hello, I was wondering if someone knew the equation which describe the exact or statistical relation between the length(# of digits) of a power of 2 based on it's power.
I plotted 200 of the powers in mathematica and I get a fairly straightforward staircase plot. I'm just wondering what's the...
As an IT guy, I wouldn't recommend putting too much emphasis on learning Linux. The system changes from distro to distro and from version to version. There's no standard and no foreseeable standardization. Only the Kernel is trustworthy to remain highly efficient, stable and interoperable. If...
That's simply physics. Which we describe with math.
Mathematical truth like much other truth is realized through insight. The logic comes later - like an after thought.
Well, this is an interesting discussion. But it seems that no matter the path of thinking I take from the ideas you give me, I end up thinking "What makes the math in the physical world, which we describe with math?" This is redundant. Is there a way out?
@Yossell: Wow, that was amazing. How do we end up knowing anything at all? Is the only way to know if something is true or not simply to bridge the gap with abstractions? You know, I'm starting to think there may be more to this "mathematical realism" than meet the eye at the first sight. Do you...
@MathematicalPhysicist: That's interesting. But I still don't know if there's more to math than logic from that perspective. I'm only informed that there's more to logic than what can be contained in logic at anyone point in time. We already knew that from Godel's theorem or the CH. But the math...
In general parlance we use computer science but in reality, the science is information. Information science and computer engineering has a wide range of application in all fields of science and business. What you do in general is try to find the best possible way to solve problems using...
Bloodshed Dev-c++ is portable and once setup, you have all the libraries and the compiler in one folder. It weigh in at around 400mb. I like this tool since I can put it on a usb key and play around with programming c/c++ on whatever PC I use.
I did study straight C with VS(it's fun to use...
Hello,
I read that many people believe mathematics to be simply an extension of logic and therefore some or all of math to be reducible to logic. I thought this was an obvious fact for the longest time. I was wondering if there was any flaw with such an argument or what else there is which...
Python has loads of versions and different quirks to be learned for each. It's more of a hobbyist programming language. Physics is primarily used in engineering. As such, an engineering environment such as Mathlab or Mathematica with System Modeler would be my first recommendation.
The material...
Hello, I learned both calculus and integral calculus a little while ago and my classes did not contain a lot of applied calculus (almost no physics or finance). I was wondering if there is a good ressource about the the different applications of calculus (with the math if possible).
I am...
A neat way to explain it comes from Ray Smullyan, a Ph.D. in logic from Princeton:
Imagine I take a card from a deck and give you an assertion:
"If this card is a Queen of Spades, then it must be black"
Now surely you would agree with me since we've all seen queens of spades (QS from now...
Hey thank you for the lengthy but thorough reply. I do find mathematica behavior strange sometimes when it seems obvious it should be designed to do maths first and foremost. I guess I'll use simplify for now.
They should make a manual just for these strange cases.
In[48]:= 2 Log[3] === Log[3^2]
Out[48]= False
Why? Seems basic enough, it should find it.
In[49]:= Simplify[2 Log[3]]
Out[49]= Log[9]
He gets it with simplify... What am I missing this time?
Thank you in advance.