The goal of this article is to establish several general properties a somewhat large class partially hyperbolic diffeomorphisms called discretized Anosov flows. A definition for these systems presented and proven be equivalent with the introduced in [1], as well notion flow type [13].The set flows shown $ C^1 $-open closed inside diffeomorphisms. Every dynamically coherent plaque expansive. Uni...

I implemented Randomized Hill Climbing (HC), Simulated Annealing (SA), and Genetic Algorithms (GA) in Tensorflow/DEAP and used each approach to train a very simple neural network on my dataset. The neural network is fully-connected and has a single hidden layer with 100 units that use tanh activations. The loss function is defined as the mean categorical cross entropy over the 10 labels. Since ...

For any two graphs G and H Lovász has defined a cell complex Hom (G,H) having in mind the general program that the algebraic invariants of these complexes should provide obstructions to graph colorings. Here we announce the proof of a conjecture of Lovász concerning these complexes with G a cycle of odd length. More specifically, we show that If Hom (C2r+1, G) is k-connected, then χ(G) ≥ k + 4....

For any two graphs G and H Lovász has defined a cell complex Hom (G,H) having in mind the general program that the algebraic invariants of these complexes should provide obstructions to graph colorings. Here we announce the proof of a conjecture of Lovász concerning these complexes with G a cycle of odd length. More specifically, we show that If Hom (C2r+1, G) is k-connected, then χ(G) ≥ k + 4....

When two half-supercapacitors are of different temperatures and connected together, since the electrode potential is thermally dependent, a significant output voltage is generated. This thermally induced capacitive effect can be employed for harvesting and storing low-grade heat. In the current study, the effects of anion size are investigated experimentally. In the nanoporous carbon under inve...

Predicting neuronal networks from calcium fluorescence data is extremely difficult due to the nature of the data collection. Current methods to overcome this difficulty, while powerful, are somewhat arbitrary, presenting new difficulties in later analysis. Specifically, current ad-hoc methods often make arbitrary distinctions between connected and unconnected neurons. In this project, I attempt...

For any two graphs G and H Lovász has defined a cell complex Hom (G,H) having in mind the general program that the algebraic invariants of these complexes should provide obstructions to graph colorings. Here we announce the proof of a conjecture of Lovász concerning these complexes with G a cycle of odd length. More specifically, we show that If Hom (C2r+1, G) is k-connected, then χ(G) ≥ k + 4....