René Petersen

René Petersen, B. Sc

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Stud. Polyt Nano-physics, 10. Semester at

Aalborg University, Denmark

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The cocky exponential function e^x is strolling along the road insulting the functions he sees walking by. He scoffs at a wandering polynomial for the shortness of its Taylor series. He snickers at a passing smooth function of compact support and its glaring lack of a convergent power series about many of its points. He positively laughs as he passes |x| for being nondifferentiable at the origin. He smiles, thinking to himself, “Damn, it's great to be e^x. I'm real analytic everywhere. I'm my own derivative. I blow up faster than anybody and shrink faster too. All the other functions suck.”

Lost in his own egomania, he collides with the constant function 3, who is running in terror in the opposite direction.

“Why don't you look where you're going?" demands e^x. He then sees the fear in 3's eyes and says "You look terrified!" "I am!" says the panicky 3. "There's a differential operator just around the corner. If he differentiates me, I'll be reduced to nothing! I've got to get away!" With that, 3 continues to dash off.

"Stupid constant," thinks e^x. "I've got nothing to fear from a differential operator. He can keep differentiating me as long as he wants, and I'll still be there."

So he scouts off to find the operator and gloat in his smooth glory. He rounds the corner and defiantly introduces himself to the operator. "Hi. I'm e^x."

"Hi. I'm d / dy."

Study Related Material

Projects

P1 - Structures and States

P2 - Carbon Nanotubes

P3 - Silver Nanoparticles

P4 - Polymer Solar Cells

P5 - Immobilization of Cutinase on Nanoparticles

P6 - Glancing Angle Deposition

P7 – Scattering of Surface Plasmon Polaritons by Gold Nanoparticles

P8 – Erbium in an SiO2 Crystal

P9 – Electronic and Optical Properties of Graphene Antidot Lattices