3,165 reputation
922
bio website primordialdream.tumblr.com
location Rutgers University, NJ
age 19
visits member for 2 years
seen 6 hours ago

This sums up my opinion of the global economy:

http://www.youtube.com/watch?v=gE2OjvyJmjE


Jan
16
comment proving that $3^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}}}}}}< 8$
If the asker reformulated the question as "is there a way to prove ... without resorting to actual computation (IE some type of tetration inequality trickery)" they would be fine.
Jan
15
comment General Solution to Almost Riccati Like Equation
This looks considerably simpler... Is there a way to prove this has no elementary solutions? for most u, and if there are elementary solutions, what is the method of generation?
Jan
15
comment General Solution to Almost Riccati Like Equation
If we assume we have found a solution $u_1$ then using the transformation $u = u_1 + \frac{1}{e}$ the equation then becomes $$ ee' = \frac{3}{2}u_1^2e^2 + \frac{3}{2}u_1e + 1$$
Jan
15
comment General Solution to Almost Riccati Like Equation
I looked at the paper and states that it can eventually be converted to $$ u' = u^3 + \phi(x) $$
Jan
15
comment Understanding Abel's Multiplicative Product:
@mysterious downvoter... Why did you downvote?
Jan
15
asked Understanding Abel's Multiplicative Product:
Jan
14
awarded  Yearling
Jan
12
accepted Field Characteristic Is Prime…?
Jan
12
comment How to prove $\int_0^1\frac{x^3\arctan x}{(3-x^2)^2}\frac{\mathrm dx}{\sqrt{1-x^2}}=\frac{\pi\sqrt{2}}{192}\left(18-\pi-6\sqrt{3}\,\right)$?
I'm leaving a comment here so I keep receiving notifications on this one. I am very curious what the solution pans out to
Jan
12
comment Field Characteristic Is Prime…?
... i'm such a goof
Jan
12
comment Nature of the infinite differential sum operator?
How? $Hf' = (f') + (f')' + (f')'' ... = \sum_{i =0}^{\infty} \left((f')^{[i]} \right) = \sum_{i =0}^{\infty} \left((f)^{[i+1]} \right) = \sum_{i =0}^{\infty} \left((f)^{[i]} \right)' = (Hf)' $
Jan
12
asked Field Characteristic Is Prime…?
Jan
12
comment Nature of the infinite differential sum operator?
That probably belongs on lifeadvice.stackexchange
Jan
12
comment Nature of the infinite differential sum operator?
Is there any real life application of this? I have no idea why i'm spending so much time on it, this is too addicting
Jan
12
asked Nature of the infinite differential sum operator?
Jan
9
comment Is this a valid equivalence between the classes of Differential Equations?
yes, i corrected it just now
Jan
9
revised Is this a valid equivalence between the classes of Differential Equations?
edited body
Jan
9
revised Solve the ODe with five variables
added 407 characters in body
Jan
9
answered Solve the ODe with five variables
Jan
9
asked Is this a valid equivalence between the classes of Differential Equations?