Laboratory for Cyber Physical Networks and Systems (CyPhyNets)

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I repeat the formula above with a slight change and it does not show.  
I repeat the formula above with a slight change and it does not show.  
<math>x=\frac{+b\pm\sqrt{b^2-4acxv}}{2a}</math>
<math>x=\frac{+b\pm\sqrt{b^2-4acxv}}{2a}</math>
 +
 +
Some Sample Formulas for Testing By Nasir:
 +
 +
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 +
= \int_a^x f(y)(x-y)\,dy</math>
 +
 +
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 +
{3^m\left(m\,3^n+n\,3^m\right)}</math>
 +
 +
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
 +
 +
<math>\phi_n(\kappa) =
 +
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
 +
\frac{\sin(\kappa R)}{\kappa R}
 +
\frac{\partial}{\partial R}
 +
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>
 +
 +
<math>\phi_n(\kappa) =
 +
0.033C_n^2\kappa^{-11/3},\quad
 +
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>
 +
 +
math>
 +
f(x) =
 +
\begin{cases}
 +
1 & -1 \le x < 0 \\
 +
\frac{1}{2} & x = 0 \\
 +
1 - x^2 & \mbox{otherwise}
 +
\end{cases}
 +
</math>
 +
 +
<math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 +
= \sum_{n=0}^\infty
 +
\frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 +
\frac{z^n}{n!}</math>
 +
 +
<math> \frac {a}{b}\  \tfrac {a}{b} </math>

Revision as of 06:58, 1 July 2009

CyPhyNets: Laboratory for Cyber Physical Networks and Systems.


School of Science & Engineering, SSE

Lahore University of Management Sciences LUMS

Lahore, Pakistan

Contents

Group Members

Faculty

Postdoctoral researchers

Positions open.

Staff

Affiliates

  • Muhammad Ali, Consultant Engineer
  • Zubair Khalid, Research Assistant

Students

  • Zahaib Akhtar, CmpE Senior
  • Muhammad Ali Ahmed, CmpE Junior
  • Muhammad Ammar Hassan, SSE freshman

Former Members

  • Shahzad Bhatti, Lecturer in Mathematics, COMSATS Institute of Technology, Islamabad

Research

  • Complex networked systems to enable the deployment of very-large scale uniquitous instances of sensor networks, robotic swarms and mobile networking
  • Rapid information discovery in massive high-dimensional data sets in robotics, networks and other areas using geometrical and topological methods
  • Quantum information theory and quantum control for understanding the physics of information


Teaching

Formal Courses

  • COMP-208. Computers for engineers [McGill. Winter 2008]
  • Phy-102. Electricity and magnetism [LUMS. Autumn 2009]
  • CS-683. Information theory [LUMS. Winter 2009]
  • BIO-103. Freshman biology (Module on systems biology) [LUMS. Winter 2009]

Reading Groups


x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

I repeat the formula above with a slight change and it does not show. x=\frac{-b\pm\sqrt{b^2*4acxv}}{2a} I repeat the formula above with a slight change and it does not show. x=\frac{-b\pm\sqrt{b^2+4acxv}}{2a} I repeat the formula above with a slight change and it does not show. x=\frac{+b\pm\sqrt{b^2-4acxv}}{2a}

Some Sample Formulas for Testing By Nasir:

\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy

\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 {3^m\left(m\,3^n+n\,3^m\right)}

u'' + p(x)u' + q(x)u=f(x),\quad x>a

\phi_n(\kappa) =
 \frac{1}{4\pi^2\kappa^2} \int_0^\infty
 \frac{\sin(\kappa R)}{\kappa R}
 \frac{\partial}{\partial R}
 \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR

\phi_n(\kappa) = 
 0.033C_n^2\kappa^{-11/3},\quad
 \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}

math>

f(x) =
\begin{cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & \mbox{otherwise}
\end{cases}
</math>

{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 = \sum_{n=0}^\infty
 \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 \frac{z^n}{n!}

 \frac {a}{b}\  \tfrac {a}{b}

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