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Claude Leibovici's user avatar
Claude Leibovici's user avatar
Claude Leibovici's user avatar
Claude Leibovici
  • Member for 10 years, 11 months
  • Last seen this week
  • Pau, France
274 votes
5 answers
15k views

A 1400 years old approximation to the sine function by Mahabhaskariya of Bhaskara I

27 votes
1 answer
946 views

Could these polynomials be identified?

26 votes
5 answers
2k views

How could I improve this approximation?

18 votes
3 answers
2k views

Is it possible to justify these approximations about prime numbers?

17 votes
1 answer
4k views

Could this approximation be made simpler ? Solve $n!=a^n 10^k$

17 votes
2 answers
757 views

Where am I violating the rules?

17 votes
3 answers
592 views

What could be this number?

16 votes
1 answer
422 views

Could you explain me the use of fractional derivatives?

14 votes
1 answer
499 views

Searching for tighter bounds

14 votes
2 answers
424 views

About the first positive root of $\sum_{k=1}^n\tan(kx)=0$

14 votes
3 answers
328 views

Does anyone know what is this number?

13 votes
4 answers
535 views

Is it possible to integrate $\frac{ \tan ^{-1}(t)}{t^{2n}\,\sqrt{t^2-1}}$

13 votes
7 answers
485 views

Approximation of $\Big[\Gamma(1+x)\Big]^{-1}$ for $0 \leq x \leq 1$ (for the art for art's sake).

12 votes
1 answer
265 views

Could this conjecture be proved ? (sum of even powers of cotangents in arithmetic progression )

12 votes
1 answer
317 views

Is there an analytical solution to $\int_1^\infty \frac {dx}{\prod_{i=0}^n (x+i)}$

10 votes
1 answer
221 views

What could be these polynomials?

9 votes
3 answers
214 views

Approximating $\int \log\big[1+\sin^2(t)\big]\,dt$

8 votes
3 answers
271 views

Approximate inverse of $k=\frac{\log (1-t)}{\log (t)}$

8 votes
0 answers
147 views

Selecting degrees for a given number of terms in Pade approximants

8 votes
6 answers
4k views

Lambert function approximation $W_0$ branch

7 votes
2 answers
458 views

Probabilities playing bridge

7 votes
1 answer
302 views

How to prove that $4 \cot ^{-1}\left(\sqrt{\phi }\right)+\cot ^{-1}\left(\frac{1}{4} \sqrt{22+17 \sqrt{5}}\right)=\pi$

7 votes
4 answers
217 views

Approximation of $\int_0^\pi \big[x(\pi-x)\csc (x)\big]^k\,dx \quad \forall k$

6 votes
2 answers
241 views

Solution of $W_0(x)-W_{-1}(x)=1$

6 votes
2 answers
148 views

Is there a limit for this complex sequence?

5 votes
3 answers
216 views

Approximation of $\prod _{k=p+1}^{\infty } \cos \left(\frac{p \,\pi}{2 k}\right)$

5 votes
0 answers
100 views

"Solving" for $n$ the equation ${2n\brack n}=k$ (Stirling numbers of the first kind)

5 votes
2 answers
256 views

An happy coincidence for the approximate solution of $x \tan(x)=k $?

5 votes
0 answers
244 views

Is there any hope for an analytical solution of this integral?

5 votes
3 answers
179 views

Probability of a boring afternoon