# Laboratory for Cyber Physical Networks and Systems (CyPhyNets)

(Difference between revisions)
 Revision as of 11:40, 18 June 2009 (view source)← Previous diff Revision as of 12:50, 18 June 2009 (view source)m Next diff → Line 2: Line 2: ---- ---- $ax^2 + bx + c = 0$ $ax^2 + bx + c = 0$ + + $$f(A)+f(B)\ge f(A\cap B) + f(A\cup B). \eqno{(2)}$$ + + :* Addition: $(a + bi) + (c + di) = (a + c) + (b + d)i$ :* Addition: $(a + bi) + (c + di) = (a + c) + (b + d)i$

## Revision as of 12:50, 18 June 2009

CyPhyNets: Laboratory for Cyber Physical Networks and Systems.

ax2 + bx + c = 0

$$f(A)+f(B)\ge f(A\cap B) + f(A\cup B). \eqno{(2)}$$


• Addition: (a + bi) + (c + di) = (a + c) + (b + d)i
• Subtraction: (a + bi) − (c + di) = (ac) + (bd)i
• Multiplication: (a + bi)(c + di) = ac + bci + adi + bdi2 = (acbd) + (bc + ad)i
• Division: $\,\frac{a + bi}{c + di} = \left({ac + bd \over c^2 + d^2}\right) + \left( {bc - ad \over c^2 + d^2} \right)i\,,$

School of Science & Engineering, SSE

Lahore University of Management Sciences LUMS

Lahore, Pakistan

# Group Members

Positions open.

### 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]