Simply Beautiful Art

# 62,994 Reputation

10 today
 +10 15 hours ago upvote Bracketing methods between bisection and regula falsi
50 yesterday
 +10 19:24 upvote Taylor series for exp(exp(x)) using just the power series for exp(x) +10 09:36 upvote Why does $1+2+3+\cdots = -\frac{1}{12}$? +10 08:48 upvote New commutative hyperoperator? +10 04:45 upvote Sum of reciprocals of the triangle numbers +10 03:44 upvote Material derivatives and the chain rule
10 2 days ago
 +10 14:36 upvote Bracketing root-finding methods: my modified Illinois method
30 Feb 20
 +20 13:50 upvote Why do we define $e^x$ as the $\lim_{x \to \infty} (1 + \frac{x}{n})^n$? +10 00:27 upvote What is the simplest technique to evaluate the following definite triple integral?
32 Feb 19
 +2 13:30 accept Bracketing root-finding methods: my modified Illinois method +20 12:14 upvote Bracketing root-finding methods: my modified Illinois method +10 05:06 upvote How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$?
44 Feb 18
 +10 23:47 upvote $x^x$ graph - what does it look like? +10 23:37 upvote Bracketing root-finding methods: my modified Illinois method -6 23:23 downvote Bracketing root-finding methods: my modified Illinois method +10 21:25 upvote Bracketing root-finding methods: my modified Illinois method +20 06:22 upvote Evaluating $\sum^n_{x=1}{2x-1\choose x}t^x$
30 Feb 17
 +10 18:54 upvote Show That a Power Of 17 Exists Between $2^{16},2^{17}$ +20 03:09 upvote Integrating $\int_a^b\left[ \left(1 - \frac{a}{x} \right)\left(\frac{b}{x}-1 \right) \right]^\frac{1}{2}dx$
-20 Feb 13
 -20 18:03 removed User was removed (learn more)
10 Feb 12
 +10 14:15 upvote Division algorithm for ordinals: how to solve $\omega^2\cdot 2+\omega\cdot4+5=(\omega\cdot2+3)\cdot\alpha+\beta$
10 Feb 9
 +10 10:34 upvote Show That a Power Of 17 Exists Between $2^{16},2^{17}$
2 Feb 8
 +2 17:39 undownvote How to solve $x\sin x=a$ for any number $a$?
-10 Feb 6
 -10 12:58 removed User was removed (learn more)
20 Feb 5
 +10 19:54 upvote Evaluate an integral using hypergeometric functions +10 04:24 upvote Taylor Series Approximation and Remainder Estimation theorem
35 Feb 3
 +10 22:01 upvote Using limit definition of a derivative to solve $(x+4)^{2x}$ +15 04:25 accept Determine if the given series converges and if so find its convergence +10 04:24 upvote Determine if the given series converges and if so find its convergence
10 Feb 2
 +10 14:44 upvote Determine if the given series converges and if so find its convergence
20 Jan 31
 +10 17:36 upvote Show That a Power Of 17 Exists Between $2^{16},2^{17}$ +10 08:40 upvote Is there anything like “cubic formula”? 01:36 upvote Visually stunning math concepts which are easy to explain
70 Jan 27
 +15 21:59 accept Asymptotic expansions for $\int_x^\infty e^{-y^3} dy$ +10 21:58 upvote Asymptotic expansions for $\int_x^\infty e^{-y^3} dy$ +10 13:47 upvote How to solve homogeneous linear recurrence relations with constant coefficients? +10 13:47 upvote How to solve homogeneous linear recurrence relations with constant coefficients? +15 13:01 accept $C^1(\Bbb R)$ solutions of $y'=\max\{0,y^{1/3}\}$ +10 13:01 upvote $C^1(\Bbb R)$ solutions of $y'=\max\{0,y^{1/3}\}$
100 Jan 26
 +10 13:38 upvote The infinite sum of the division of of two Gamma functions +10 11:10 upvote What use does a Cauchy principal value and divergent summation have? +15 11:09 accept Why is an interchange of the summation and the integral here not justified? +10 11:09 upvote Why is an interchange of the summation and the integral here not justified? +10 08:29 upvote Evaluate the limit $\lim_{n\rightarrow \infty}\frac{1}{\sqrt{n}}\left(1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\ldots+\frac{1}{\sqrt{n}}\right)$ +10 03:43 upvote Why is an interchange of the summation and the integral here not justified? +15 02:11 accept The infinite sum of the division of of two Gamma functions +10 02:11 upvote The infinite sum of the division of of two Gamma functions +10 00:08 upvote Why is an interchange of the summation and the integral here not justified?
85 Jan 25
 +10 23:27 upvote How to solve a recurrence relation with two variables +10 22:53 upvote How are Zeta function values calculated from within the Critical Strip? +10 21:24 upvote ODE Homogeneous Equation Algebra +15 15:58 accept Recursive induction inequality +30 15:41 upvote Recursive induction inequality +10 06:20 upvote Binomial expansion for $(x+a)^n$ for non-integer n
60 Jan 24
 +10 21:37 upvote Asymptotic expansions for $\int_x^\infty e^{-y^3} dy$ +20 15:28 upvote How to solve homogeneous linear recurrence relations with constant coefficients? +30 14:14 upvote is there a solution for the integration of $x^n(x+c)^k$?
70 Jan 22
 +15 19:49 accept How to solve $f(n) = f(n-1) + f(n-1) f(n-2)$? +30 12:10 upvote How to solve $f(n) = f(n-1) + f(n-1) f(n-2)$? +15 03:38 accept Show That a Power Of 17 Exists Between $2^{16},2^{17}$ +10 02:53 upvote Show That a Power Of 17 Exists Between $2^{16},2^{17}$
70 Jan 21
 +10 22:13 upvote A sum of partitions +60 22:11 upvote A sum of partitions
25 Jan 20
 +15 18:13 accept Finding the set of points where the function is not differentiable. +10 18:13 upvote Finding the set of points where the function is not differentiable.
10 Jan 18
 +10 05:26 upvote Evaluating the integral $\int_{0}^{\infty}\frac{1}{(1+x^a)(1+x^b)} dx$ for real $a, b \ge 0$
25 Jan 17
 +10 23:10 upvote why $xy^{(4)} + 2y'' + (xy')^5 = x^3$ is of the fourth order differential equation +15 23:10 accept why $xy^{(4)} + 2y'' + (xy')^5 = x^3$ is of the fourth order differential equation
45 Jan 16
 +10 13:37 upvote Finding linear recurrence for a sequence which depend on another recurrence +15 08:12 accept Infinite product $\prod_{n=1}^{\infty}(1+z^n)(1-z^{2n-1}) = 1$ +10 08:12 upvote Infinite product $\prod_{n=1}^{\infty}(1+z^n)(1-z^{2n-1}) = 1$ +10 01:14 upvote For what natural $n$ does there exist a cube composed of $n$ cubes and more
10 Jan 15
 +10 12:50 upvote Calculating values of the Riemann Zeta Function
10 Jan 14
 +10 15:21 upvote For what natural $n$ does there exist a cube composed of $n$ cubes and more
25 Jan 13
 +10 15:36 upvote Constructing analytic solutions to the delay differential equation $f'(x) = x f(x-1) - f(x)$ +15 09:36 accept Division algorithm for ordinals: how to solve $\omega^2\cdot 2+\omega\cdot4+5=(\omega\cdot2+3)\cdot\alpha+\beta$
90 Jan 12
 +10 23:13 upvote What's the inverse of $x^5 +3x^3 + 2x + 1$? +10 22:52 upvote Division algorithm for ordinals: how to solve $\omega^2\cdot 2+\omega\cdot4+5=(\omega\cdot2+3)\cdot\alpha+\beta$ +10 19:46 upvote What is the largest bet that cannot be made with $7$ and $9$ dollar chips? (Frobenius number) +10 18:43 upvote What's the inverse of $x^5 +3x^3 + 2x + 1$? +10 17:50 upvote For what natural $n$ does there exist a square composed of $n$ squares? +20 13:55 upvote Division algorithm for ordinals: how to solve $\omega^2\cdot 2+\omega\cdot4+5=(\omega\cdot2+3)\cdot\alpha+\beta$ +10 11:24 upvote For what natural $n$ does there exist a cube composed of $n$ cubes and more +10 01:19 upvote Show that $\frac{1}{1-x}$ is equal to its Taylor Series on $(-1,1)$