# Laboratory for Cyber Physical Networks and Systems (CyPhyNets)

### From CYPHYNETS

(Difference between revisions)

Line 66: | Line 66: | ||

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

- Abubakr Muhammad. Group Lead, Assistant Professor of Electrical Engineering

### Postdoctoral researchers

Positions open.

### Staff

- Hassan Mohy-ud-Din, Development Engineer
- Ishtiaq Maqsood, Laboratory Engineer
- Suleman Sami Qazi, Laboratory Engineer
- Abdul Rehman Javed, Research Assistant

### 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

- Computational topology in science & engineering [McGill. Winter 2009]
- Feedback control systems [LUMS. Winter, Summer 2009]
- Advanced topics in information theory [LUMS. Summer 2009]

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. I repeat the formula above with a slight change and it does not show.

Some Sample Formulas for Testing By Nasir:

math>

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