David Hilbert’s Sixteenth Problem is an important open problem in mathematics. Good luck!

# Tag Archives: Mathematical Modeling

## “Scientists develop forecasting technique that could help advance quest for fusion energy.”

“I would like nuclear fusion to become a practical power source. It would provide an inexhaustible supply of energy, without pollution or global warming.”

— Stephen Hawking.

## “Unlikely research area reveals surprising twist in non-smooth optimization.”

“Nothing takes place in the world whose meaning is not that of some maximum or minimum.” — Leonhard Euler.

## Backup: Get to know Maxwell’s Equations — KaiserScience

This is a backup of an article on Wired,’Get to know Maxwell’s Equations – You’re Using Them Right Now,” by Rhett Allain , 8/6/19 Maxwell’s equations are sort of a big deal in physics. They’re how we can model an electromagnetic wave—also known as light. Oh, it’s also how most electric generators work and even […]Continue reading “Backup: Get to know Maxwell’s Equations — KaiserScience”

## We want to know why (W)ork = (M)ass + (E)nergy makes sense?

Hmm. We know mass (M) is a form of energy that interacts with its surrounding environment. And that environment is energy (E). Moreover, the mass interacting with its environment is called work (W). Eureka! The equation, W = M + E makes sense! But, Newtonian physics define work as Work = Force x Distance. AndContinue reading “We want to know why (W)ork = (M)ass + (E)nergy makes sense?”

## How does one derive E = hf from H = P.E. + K.E. and iħ∂Ψ∕∂t = HΨ?

How does one derive the Planck-Einstein relation (E= hf) from the total energy (H) equation and from the Schrödinger equation? P.E. indicates potential energy, and K.E. indicates kinetic energy. And H indicates the Hamiltonian… Hopefully, we can produce an affirmative answer to our question soon. And that question is a good start in our questContinue reading “How does one derive E = hf from H = P.E. + K.E. and iħ∂Ψ∕∂t = HΨ?”

## Why is an advanced theory of energy needed?

Energy is central to our existence. And nothing happens or exists in nature without energy. And the more we know about energy, the more we are able to produce efficiently the things that sustain life and allow us to flourish in the world. Central Equation: Work = Mass + Energy (environmental energy). Our universe isContinue reading “Why is an advanced theory of energy needed?”