First and Foremost chaos theory itself comes from the seemingly half-hazard way things seem to happen in its equations, but chaos theory is really about finding the similarities between these seemingly random events in an equation.Edward Lorenz, a meteorologist, discovered this theory when he was working on a calculation for weather prediction on his computer....From the understanding of many scientists such as Edward Lorenz, Ian Stewart, and Robert May the chaos theory relatively means the same thing.
Throughout the century that many men pondered this idea, many other problems, solutions, and mathematical concepts were created.
I find the Four Coloring Theorem to be very interesting because of it's apparent simplicity paired with it's long, laborious struggle to be proved....
If it is not empty, it consists of a distinguished node r called the root and zero or more non-empty subtrees T1, T2, …, Tk such that there is a directed edge from r to each of the roots of T1, T2, …, Tk. [tags: Information Technology Computer Science] - In , , authors first time proved the sufficient condition for 1-coverage imply to 1-connectivity: “for a set of sensors that at least 1-cover a convex region A, the communication graph is connected if Rc≥ 2Rs”.
Based on this result, when we design a WSN system, we can focus on node deployment strategy and elimiate the connectivity problem by assuming the Rc≥ 2Rs.
The journal is published by Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung (ITB) Indonesia, Indonesian Combinatorial Society (Ina Comb S), and GTA Research Group, the University of Newcastle, Australia.
This journal is sponsored by Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung (ITB), Faculty of Computer Science University of Jember and Ministry of Research, Technology and Higher Education, Indonesia.
The game components include a map with cities and defined train routes, sets of 45 colored, plastic train car tokens for up to five players, destination tickets, and colored train cards.
The premise of the game involves collecting enough of the colored train cards to claim or build train routes to connect various major cities in the United States and southern Canada to earn points as well as completing routes designated on the destination tickets....
- Graph Theory: The Four Coloring Theorem "Every planar map is four colorable," seems like a pretty basic and easily provable statement.
However, this simple concept took over one hundred years and involved more than a dozen mathematicians to finally prove it.