\begin{align} { \begin{pspicture}(0,-3.44)(7.26,3.44) \psdiamond[linewidth=0.04,dimen=outer](2.27,0.0)(2.27,3.44) \psdiamond[linewidth=0.04,dimen=outer](5.06,0.11)(0.76,0.05) \psdiamond[linewidth=0.04,dimen=outer](5.23,-0.16)(2.05,2.0) \end{pspicture} } \end{align}

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I'm writing AIEEE, BITSAT and CMI Entrance. Also planning to learn loads of programming and study some math (discrete math) and physics.

]]>PS: Dont say "Here it is!" :D :D

]]>Institutes of excellence — the seven Indian Institutes of Technology; Institute of Technology, Banaras Hindu University; and Indian School of Mines, Dhanbad — have decided to stagger the implementation of the other backward classes quota over the next three years to achieve the mandatory 27 per cent reservation.

To make room for candidates from the OBC quota, these institutes will earmark 9 per cent of the total seats for them and increase the overall number of seats by 13 per cent from the present academic year.

Announcing the decision here on Wednesday after a meeting of the Directors of the IITs, Director of IIT-Delhi Dr. Surinder Prasad said: “Starting this year, 9 per cent of seats in all the seven IITs, IT BHU and ISM Dhanbad will be reserved for OBC students.

The percentage of seats will be gradually increased to attain 27 per cent OBC reservation by Joint Entrance Exam (JEE) 2010, based on the proposals submitted by individual institutions to the Empowered Committee and accepted by the Central government.”

The three new IITs — Bihar, Rajasthan and Hyderabad — will, however, implement 27 per cent reservation for OBCs and 22.5 per cent reservation for the Scheduled Castes and Scheduled Tribes from JEE 2008 onwards. The total intake of students in these three new IITs will be 120 each.

Assuring that the institutes will take the required steps to ensure that their position as centres of excellence is maintained, Director of IIT-Guwahati Gautam Barua said there was, however, a need to expeditiously release additional funds for the institutes.

“To meet the expenses generated by the increase in the number of seats and the infrastructure, the Central government will have to expedite the process of allocating more resources and making the remunerations more attractive,” he said.

The IITs currently face a shortage of faculty and with the increase in the number of seats, the number of faculty positions will be doubled.

Referring to the selection criterion for OBC students, Dr. Prasad said: “The cut-off for OBC category students will be 90 per cent of the cut-off of general category students in the JEE 2008 examination.”

Eligible students in the OBC category will, however, need to certify that they do not belong to the creamy layer.

Source: http://www.hindu.com/2008/04/17/stories/2008041755941200.htm

Well, it looks nice that the number of seats are increasing but what the final effect will be only god can say.

]]>$\frac {a+b}{2}-\sqrt {ab}\geq \frac {(a-b)^2(a+3b)(b+3a)}{8(a+b)(a^2+6ab+b^2)}$

]]>-nice questions in some chapters of chem

engineerprep.com

-free online tests (from the famous resonance institute of kota)

locuseducation.org

-the best study material for JEE………its free…

$\vec{E} = \frac{x \hat{i} + y \hat{j}}{x^2 + y^2}$

Find the total charge enclosed within a sphere of radius 'a' with its centre at the origin.

Also try to generalize it for a sphere of the type $(x-h)^2 + (y-k)^2 = a^2$

]]>square if and only if xy + 1, yz + 1, zx + 1 are all perfect squares.

Source: Shall be revealed later if i want to :D

]]>1. 17 ants are roaming over a chessboard of area 8x8 (64 sq. inches) then atleast 2 of them mustr be always closer than :

(a) 2 inches (b)$2\sqrt{2}$ inches (c) $\sqrt{2}$ (d) none

2. Out of (m+1) given integers 2 of them can be chosen such that their :

(a) difference is divisible by m (b) sum is div. by m

(c) product is div. by m (d) none

3. Justify giving arguments that there are 2 people in Chandigarh having same date of birth

(donno if Chandigarh has any importance)

Nominees:

IIT JEE Challengers

IIT JEE Crackers

IIT JEE Zero Friction

IIT JEE Black Hole

IIT JEE Infinatum $\infty$

IIT JEE Zone

IIT JEE Pitstop

IIT JEE Redefined!

Well give your suggestionS!

]]>$a_{i+1} = 3 \cdot a_{i} + 5 , a_{i} = 2 \cdot k ,$

$a_{i+1} = 4 \cdot a_{i} , a_{i} = 2 \cdot k + 1$

Find the number of perfect squares in this infinite series if its given that $a_{0} = 1$ .

[[/math]]

PS: How to left align this thing?

Rohit: Is this what you wanted?

]]>PHYSICS | |||

Book Name | Author | Publisher | Price |
---|---|---|---|

Fundamentals of Physics | Resnick, Halliday, Walker | ||

Concepts of Physics (I & II) | H.C.Verma | BVB | |

Problems in General Physics | I.E.Irodov | CBS Publishers | |

Mechanics | Dirac | ||

Introduction to Electrodynamics | D.J Griffith | ||

Optics | Eugene Hecht |

MATHEMATICS | |||

Book Name | Author | Publisher | Price |
---|---|---|---|

Problem Solving Strategies | Arthur Engel | ||

Combinatorics for Undergraduates | Titu Andreescu & Zuming Feng | ||

Challenges and Thrills of Pre College Mathematics | BJV,CRP,CLR | ||

Adventures in Maths | Shailesh Shirali | ||

An Excursion in Maths | BP | ||

Higher Algebra | Bernald Child | ||

Functional Equations | B.J Venkatachala | ||

Calculus in One Variable | I.A Maron | CBS Publishers | |

Calculus | Tom Apostol | Wiley |

CHEMISTRY | |||

Book Name | Author | Publisher | Price |
---|---|---|---|

Organic Chemistry | Morrison & Boyd | ||

Concise Inorganic Chemistry | J.D.Lee |

Free E-Books & Study Material (100% Legal)

**Mathematics**

Problems in Elemental Number Theory - Peter and Hojo Lee

Coming Soon: Books for Informatics/Computers.

]]>2) There should be a option for knowing if a user is online or offline.

]]>Friends,

I want to become a theoretical physicist and do research in relativistic quantum mechanics. ( and win Nobel Prize in physics, joking ……. )

However, in the prevailing conditions, this is impossible. I know I am most probably going to get admitted in an engineering college after +2, quite sure.

But, i want to continue my struggle in field of physics.

So kindly suggest me on how to pursue physics parallely.

Is their any institute which offers correspondence course kind of a thing in theoretical physics ?

I am not interested in earning myself a degree, rather, gaining the knowledge required to ignite my future ambitions.

All kind of helps are welcomed.

Karan Singh.

]]>NOTE : the above problem has been inspired from the example 1.10 of University Chemistry, by Bruce H. Mahan.

]]>\begin{align} \text{If }f(x)=x+\displaystyle\int^1_0 (xy^2+x^2y)f(y)\,dy \text{ and } f(x)=x+\frac{(61x+80x^2)}{\lambda} \\ \text{Then the value of }\lambda \text{ must be?} \end{align}

]]>
Latest update : V.K. Bansal ~~ 150

Ashish Arora ~~180 to 200 [too high in my opinion]

Compound A have the following characteristics:

molecular formula $C_{4}H_{7}Br$; only two signals in protonic NMR spectrum,

one of them near 6.0 ppm; in the infrared spectrum, there are two medium bands, one at 1670 cm-1 and another near 815 cm-1.

In a synthesis of compound E, the following sequence of reactions was used, starting from A:

$A + Mg/THF \to B$

$B + 2,2 - dimethyloxirane\longrightarrow C$

$C + Hg(OAc)_{2}\, (anhydrous)\longrightarrow D$

$D + NaBH_{4}\longrightarrow E$

Find the structures of compounds A through E.

By Carcul

]]>\begin{align} \displaystyle\sum_{r=0}^{100}r!+2^{2^{n}} \end{align}

is?

]]>Solve for $\theta$.

Looks simple eh?^{1}

But the big question is, will the IPL succeed. The 20-20 hailed by Siddhu as "Miniskirt" is more entertainment than cricket, true, but will our people accept this. The ICL is doing very decently because at the core of it, is cricket. But IPL teams like Kolkatta or Punjab are only shadows of their more famous owners. Looking at the huge money, its doubtful whether the owners will be able to cash in on the demand. And if it fails?……..

What is your opinion on this? I saw it will flop. Simply because the hype is way too too much. And CRICKET is not the underlying factor here, its just entertainment. :(

]]>\begin{align} \sum \frac{a}{\sqrt{a^{2}+8bc}} \geq 1,a,b,c \in \mathbb{R}^{+} \end{align}

]]>
:-D

:-D

:-D ]]>

\begin{equation} x_{1} + x_{2} + x_{3} = 2 \end{equation}

(2) \begin{equation} x_{1}^{2} +x_{2}^{2} +x_{3}^{2} =14 \end{equation}

(3) \begin{equation} x_{1}^{3} +x_{2}^{3} +x_{3}^{3} =20 \end{equation}

]]>
In fact http://komplexify.com/math/humor.html has some of the best jokes on math I have seen other than madness's comments ;)

]]>and (1)

\begin{align} cot{\frac{A+B}{2}}=ktan{\frac{B-A}{2}} \end{align}

find value of k in terms of m

]]>\begin{align} tan^{-1}{x} + cos^{-1}{\frac{y}{\sqrt{1+y^2}}=sin^{-1}{3/10} \end{align}

]]>
If $l$ be a line that biscts both the area and the perimeter of a $\Delta ABC$ then show that $l$ passes through the incenter of the triangle. ]]>

Wow, I have to admit. Some of the posting options in Wikidot are simply superb! Especially The Latexing and the brilliant editor and tool bar.

But the AJAX is simply awesome. AJAX incase you didn't know stands for Asynchronous Javascript and XML. In simple terms, the when you click on a link, the whole webpage doesn't load but its instantaneous. Though this is a wiki site, everything else is awesome. Kudos to Wikidot!

Great choice Mr.KVS (Rowdy).

]]>Case I: WRT Ground

Man goes straight and leaves the field region soon. But Charge will only go in a circle and will be behind the man.

Case II: WRT Man

Man is ofc a non-inertial frame. So wrt him charge is @ rest so no magnetic force acts on it. And both will be always next to each other.

Whats your say on this?

Edit: Cha… wanted to be the first to post in physics forum. :(

]]>plz justify ur answer as well.

]]>is there any possibility that you can introduce smileys on this forum?? It will make it more colourful :D

the one's on AoPS are the best! :) ]]>

\begin{align} \text {In statistical mechanics, Bose-Einstein statistics (or more colloquially B-E statistics) determines the statistical distribution of identical indistinguishable bosons over the energy states in thermal equilibrium. } \end{align}

(2) \begin{align} \text{The expected number of particles in an energy state i for B-E statistics is:} n_i = \frac {g_i} {e^{(\varepsilon_i-\mu)/kT} - 1} \end{align}

SOURCE:

$\text{ \large W \Large I \LARGE K \huge I \Huge P \huge E \LARGE D \Large I \large A }$

\begin{align} \sum_{n=1}^{\text{\Huge$\infty$}}\frac{1}{n^2} = \frac{\pi^2}{\text{\Huge 6}} \end{align}

(2) \begin{align} \text{ \small$\pi$ \normalsize$\pi$ \large$\pi$ \Large$\pi$ \LARGE$\pi$ \huge$\pi$ \Huge$\pi$ \huge$\pi$ \LARGE$\pi$ \Large$\pi$ \large$\pi$ \normalsize$\pi$ \small$\pi$} \end{align}

]]>
Taking square root, we get

$\sqrt{\frac{1}{-1}}=\sqrt{\frac{-1}{1}}$

cross multiplying, we get

$\sqrt{1}.\sqrt{1}=\sqrt{-1}.\sqrt{-1}$

Hence -1=1

Thus 1+1=0

]]>Yay! i am one of the first few members of this site

]]>Ans 1.005 X10^-4 /min

]]>\begin{align} cos A = \frac{b^2 + c^2 - a^2}{2bc} \end{align}

Check. Check. This is Chronoz! We should post a latex guide somewhere soon…….

]]>For example to get (1)

\begin{align} x^{2} + y^{2}=z^{2}, x,y,z \in \mathbb{N} \Rightarrow (x,y,z)=(m^{2}-n^{2},2mn,m^{2}+n^{2}) \end{align}

Just click on root(x) button at top of the page u post and insert the symbol u want

]]>