/sci/ - Science & Math

It's sine waves all the way down.

>>9231081
forgot the pic!

what would it be like to be made machine-like, insanely efficient at completing tasks but not capable of generating them? is there any scientific model on the disparity between rational thought and intuition?

how do you quantify their differences? would it be like an inanimate object adhering to the principle of least action?

>>8822631
In the real of analysis, this is easy. In that theory, for finite L,

[math] \dfrac {1} {\sum_{n=1}^m a_n} = L \ \ \ \rightarrow \ \ \ \sum_{n=1}^m a_n = \dfrac {1} {L} [/math]

and if L=0, the inverse is undefined. And

[math] \dfrac {1} {\sum_{n=1}^m n} = \dfrac{2}{m\,(m+1)} < \dfrac{2}{m^2} [/math]

goes to zero for m to infinity.

If the infinite sum would go to -1/12, the other limit (in analysis), would go to -12.

>>8822631
In the real of analysis, this is easy. In that theory, for finite L,

[math] \dfrac {1} {\sum_{n=1}^m a_n} = L \ \ \ \rightarrow \ \ \ \sum_{n=1}^m a_n = \dfrac {1} {L} [/math]

and if L=0, the inverse is undefined. And

[math] \dfrac {1} {\sum_{n=1}^m} = \dfrac{2}{m\,(m+1)} < \frac{2}{m^2} [/math]

goes to zero for m to infinity.

>>7633506
You reduce a function to its sinusoidal components and plot the strength of each frequency (the coefficients of these components) along an axis of frequencies.

This chart of frequencies is called the function's spectrum. It is the function as represented in terms of frequencies in the frequency domain.

just watch this gif

is it possible to understand any (correct) mathematical proof published in a paper if you have unlimited time and motivation or is there some kind of "border"?

Background of the question: I am suprised how easy mathematical concepts appear after you understand their purpose and after you have some kind of image in your head. However, the deeper you go the more complex it gets and the more you need to know for something to understand it and to use it.

Theoretically speaking, if you have the time, money and motivation, when comes the point after you can't understand something no matter how much you try. Would the point come after all? I am not talking about inventing and prooving new stuff but to understand papers which are already prooven to be correct.

Fourier is my homeboy.

Any mathematics(physics, intensive math engineering are okay too) majors here grow up 'struggling'(relative to other subjects) with algebra and up during middle school and high school?

I'm curious about your existence, because I feel pretty alone in this regard with my current perspective. If anyone of you guys are out there, I'm wondering what to do about my lack of a super concrete basis with regards to the fundamentals.

I believe myself to be an overall great talent, and very good at mathematical theory and abstraction. However, my fundamentals have always held me back from truly sitting with pen and paper, and creating and manipulating and truly being where I want to be mathematically.

I fell in love with it after taking my calc based mechanics course a couple years ago. It was a n intensive 4 week long, 5 days per from 8am-4pm with a lab component.

I was so sucked into the world of math and physics I couldn't look back. Most other studies seemed trite, a waste of time. The thought of another biology lecture toward my biochem degree immediately triggered thoughts of boredom, rote memory, and the 'easy' path.

I went through a transfer, and my very last memory of my last school was the Italian Mathematical Physics Doc and his calc II class that I ended up making a D in. I came into my new school and made my first A in math in my re-take of calc II since middle school. I had never been so excited and optmistic, yet humbled.

However, not being proficient from an early age has presented some challenges in tackling putnam-like problems, having complete and coherent algebra, a well-placed army of trigonometric manipulations, and smooth, fast tackling of the problems I should be better at.

I'm thinking about taking this winter break and trying to nail some concepts, but I'm afraid I'll get bored since I'll recognize the material and not put my heart into it. Would taking a look at sequence/series part of calulus be a good idea?

Purportedly the DEA hired Lil' Wayne to snort a pile of cocaine taller than an average man that they recently raided from a network of underground tunnels.

So is he for sure dead, or can a super hood rat be immune to LD50's?

How risky would it be to hedge in the exchange market for bitcoins?

Can anyone give me an easy explanation of what the frequency domain of a signal is? I have trouble completely understanding why for continuous signals in the time domain, the frequency domain is discrete.