Ishaan94
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 Ishaan
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Questions Asked

Ishaan94:
Group Title
Assume an \(8\times 8\) chessboard with usual colouring. You may repaint all the squares of a row or column. The goal is to attain one black…
 updated one year ago
 20 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
Show that the sum\[\sum_{k=1}^n k! \neq m^2\]for any integer m, for \(n\geq4\).
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics

Ishaan94:
Group Title
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
 updated 2 years ago
 14 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
Period of \(\Large\frac{\cos x}{\sin x}+\frac{\sin x}{\cos x}\)?
 updated 2 years ago
 16 replies
 No Medals Yet
Mathematics

Ishaan94:
Group Title
First answer (by Anders) on http://www.quora.com/Mathematics/HowwouldIshowthat49divides8n7n1forallnge0
Can anyone explain i…
 updated 2 years ago
 29 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
Problem.
 updated 2 years ago
 6 replies
 No Medals Yet
Mathematics

Ishaan94:
Group Title
Total number of integral points lying inside the triangle formed by the lines \(xy=0\) and \(x+y=a\), where \(a\) is any positive integer.
 updated 2 years ago
 7 replies
 1 Medal
Mathematics

Ishaan94:
Group Title
Find \(x\).\[\left(2\cdot 7\right)^n+\left(3\cdot 5\right)^n5 \equiv 0 \pmod{x},\quad n\in\mathbb{Z}\]
 updated 2 years ago
 16 replies
 1 Medal
Mathematics

Ishaan94:
Group Title
Whom of you can explain it to me?
http://jeremykun.files.wordpress.com/2011/06/triangleproof.png
 updated 11 months ago
 29 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
Request for <HTML> Tags.
…
 updated 2 years ago
 9 replies
 1 Medal
Mathematics

Ishaan94:
Group Title
\[\mathsf{a,b,c \in \left[0,1\right]}\]\[\mathsf{\text{Prove}\quad\frac{a}{b+c+1} + \frac{b}{a+c+1} + \frac{c}{a+b+1} + \left(1a\right)\lef…
 updated 2 years ago
 7 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
Is this function linear?
\[\sum_{k=1}^{n}\left(a  a_1\right)\cdot\left(aa_2\right)\cdots\left(aa_n\right)\]
Where \(a_1,a_2, \ldots, a_n …
 updated 2 years ago
 13 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
If \(\large a_1, a_2,a_3,\ldots,a_n\) are real numbers, show that \[\large\sum_{i=1}^{n}\sum_{j=1}^{n}i\cdot j\cdot \cos \left(a_i  a_j\rig…
 updated 2 years ago
 3 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
@mukushla
Prove \(ab + bc + ac \ge \sqrt{3abc \left(a+b+c\right)}\).
 updated 2 years ago
 5 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
Show that if \(x^4+ax^3+2x^2+bx+1\) has a real solution, then \(a^2+b^2 ≥ 8\).
 updated 2 years ago
 8 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
Find all real triples \((x,y, z)\) that satisfy \(x^4+y^4+z^4−4xyz = −1\).
 updated 2 years ago
 14 replies
 1 Medal
Mathematics

Ishaan94:
Group Title
Let \(x,y\) and \(z\) be positive real numbers less than 4. Prove that among the numbers\[\frac{1}x + \frac1{4y},\;\frac{1}z + \frac1{4x},…
 updated 2 years ago
 15 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
The sum of \(n\) real numbers is zero and the sum of their pairwise products is also zero. Prove that the sum of the cubes of the numbers is…
 updated 2 years ago
 5 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
Number of arrangements of the set \(\{a_1,a_2, \ldots, a_{10}\}\), so that \(a_1\) is always ranked above \(a_2\).
 updated 2 years ago
 17 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
Number of ways the word 'SUCCESS' can be arranged, such that no two S's and C's are together.
@Zarkon
 updated 2 years ago
 23 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
A simple combinatorics problem.
Word 'SUCCESS'. Number of ways such that no two Ss and Cs are together.
 updated 2 years ago
 24 replies
 4 Medals
Mathematics

Ishaan94:
Group Title
Prove \(\large 2^{\sqrt2}\) is \(\mathsf{irrational}\).
 updated 2 years ago
 No Medals Yet
Mathematics

Ishaan94:
Group Title
Compute \(f'\left(0\right)\). $$\large f\left(x\right) = \int\limits_{\cos x}^{\sin x} e^{t^2+xt}dt.$$
 updated 2 years ago
 8 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
Chat Bug >.<
 updated 2 years ago
 10 replies
 4 Medals
Mathematics

Ishaan94:
Group Title
Number of ways of distributing \(n\) identical things among \(r\) persons when each person can get any number of things.
@Zarkon
 updated 2 years ago
 5 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
The streets of a city are arranged like the lines of a chessboard. Let the dimensions be \(m \times n\). Find the number of ways in which a…
 updated 2 years ago
 44 replies
 3 Medals
Mathematics

Ishaan94:
Group Title
How to get fonts work on every OperatingSystem? Like I use ubuntu and windows 7, I have photoshop installed on windows 7. I used adobe photo…
 updated 2 years ago
 5 replies
 2 Medals
Mathematics

Ishaan94:
Group Title
How to make dropdown menu with HTML and CSS? Also, if you can then please post your favorite styles, tricks and fonts for web designing.
 updated 2 years ago
 2 replies
 No Medals Yet
Mathematics

Ishaan94:
Group Title
Integrate.
\[\large\int\limits_{.9}^{.9}\lfloor x^2\rfloor\;dx\]
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics

Ishaan94:
Group Title
Problem: http://projecteuler.net/problem=2
Solution: …
 updated 2 years ago
 10 replies
 3 Medals
Mathematics

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