User Daniel R

20 votes

In calculus, which questions can the naive ask that the learned cannot answer?

answered Aug 4, 2014 at 19:56

13 votes

Is this a valid way to prove this modified harmonic series diverges?

answered Oct 21, 2016 at 7:33

10 votes

Accepted

Analytic continuation of factorial function

answered Sep 2, 2013 at 10:52

9 votes

Accepted

sum of 4 squares

answered Dec 16, 2013 at 15:32

8 votes

Numbers with no finite representation on paper

answered Jun 26, 2013 at 20:12

6 votes

Algebraic numbers and their closure

answered Mar 11, 2014 at 15:36

6 votes

Accepted

Trigonometric equation in two ways gives different answer

answered Sep 6, 2013 at 6:49

6 votes

One question to know if the number is 1, 2 or 3

answered Oct 3, 2013 at 9:47

6 votes

Accepted

Does there exist a finite group with orders of elements $1$, $2$, ..., $8$ (but no elements of larger order)?

answered Oct 25, 2016 at 13:20

6 votes

Working out $\tan x$ using sin and cos expansion

answered Apr 17, 2015 at 12:32

6 votes

Accepted

Asymptotic approximation to find the Barnes integral

answered May 27, 2014 at 19:27

6 votes

Accepted

Probability of an integer being a prime

answered Nov 26, 2014 at 15:26

5 votes

Is there any book/resource which explain the general idea of the proof of Fermat's last theorem?

answered Sep 18, 2014 at 19:26

4 votes

Difficult Polynomial Question

answered Oct 11, 2014 at 8:04

4 votes

Interesting but short math papers?

answered May 21, 2014 at 8:55

4 votes

Accepted

how covert joysitck (x, y) coordinates to robot motor speed?

answered Nov 6, 2013 at 22:20

4 votes

Accepted

Does this sequence always give a square number?

answered Oct 3, 2013 at 13:54

4 votes

Accepted

Describing a third variable with two other variables, using combination of elementary functions.

answered Sep 2, 2013 at 13:35

3 votes

Accepted

A double sum and its relation to a simple sum, is this an identity for any complex number $S=a+i b$ and any integers n and t?

answered Sep 15, 2013 at 17:57

3 votes

Accepted

Numerical values for $e^{z}$

answered Nov 13, 2013 at 9:59

3 votes

Accepted

Show $x^{\pi(x)} < 3^x$ using the PNT.

answered May 21, 2014 at 16:47

3 votes

Accepted

ratio of arithmetic summation

answered Jul 1, 2015 at 13:36

3 votes

Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$

answered Sep 1, 2015 at 19:00

2 votes

Significant figures reduction of solution

answered Jun 26, 2015 at 14:23

2 votes

Real zeros of the zeta function

answered May 5, 2014 at 10:59

2 votes

Accepted

If $f\in C[0,2\pi]$ and $f(0)=f(2\pi)$ then $f(\theta)=f(\theta+\pi)$ for some $\theta\,\in\,(0,\pi)$?

answered Nov 10, 2014 at 11:47

2 votes

Let $\sum_{n=1}^\infty \frac{a_n}{3^n}.$ Determine (numerically or not) the limit of the infinite series by choosing $a_n=0$ or $2$ randomly.

answered Oct 16, 2013 at 7:11

2 votes

How to solve $f_{n}(x)=xf_{n-1}(x)-f_{n-2}(x)$?

answered Sep 1, 2013 at 11:06

2 votes

Accepted

General term of a range

answered Jul 3, 2013 at 11:52

2 votes

Accepted

Sums of Squares of Fibonacci Numbers Using Difference Operators

answered Oct 18, 2016 at 16:48

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79 Answers

In calculus, which questions can the naive ask that the learned cannot answer?

Is this a valid way to prove this modified harmonic series diverges?

Analytic continuation of factorial function

sum of 4 squares

Numbers with no finite representation on paper

Algebraic numbers and their closure

Trigonometric equation in two ways gives different answer

One question to know if the number is 1, 2 or 3

Does there exist a finite group with orders of elements $1$, $2$, ..., $8$ (but no elements of larger order)?

Working out $\tan x$ using sin and cos expansion

Asymptotic approximation to find the Barnes integral

Probability of an integer being a prime

Is there any book/resource which explain the general idea of the proof of Fermat's last theorem?

Difficult Polynomial Question

Interesting but short math papers?

how covert joysitck (x, y) coordinates to robot motor speed?

Does this sequence always give a square number?

Describing a third variable with two other variables, using combination of elementary functions.

A double sum and its relation to a simple sum, is this an identity for any complex number $S=a+i b$ and any integers n and t?

Numerical values for $e^{z}$

Show $x^{\pi(x)} < 3^x$ using the PNT.

ratio of arithmetic summation

Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$

Significant figures reduction of solution

Real zeros of the zeta function

If $f\in C[0,2\pi]$ and $f(0)=f(2\pi)$ then $f(\theta)=f(\theta+\pi)$ for some $\theta\,\in\,(0,\pi)$?

Let $\sum_{n=1}^\infty \frac{a_n}{3^n}.$ Determine (numerically or not) the limit of the infinite series by choosing $a_n=0$ or $2$ randomly.

How to solve $f_{n}(x)=xf_{n-1}(x)-f_{n-2}(x)$?

General term of a range

Sums of Squares of Fibonacci Numbers Using Difference Operators