Abstract: In this project we will explore the properties of stochastic matrices in both the real and the finite fields. We first explore what properties 2  2 stochastic matrices in the real field have and then exam if they hold in the finite fields. We will prove how, given the conditions of a finite field, properties hold or fail to hold. We will extend our scope to 3  3 stochastic matrices ...

The long-term goal of this program is to develop a technology to allow EOD technicians to interrogate an electronically safe and armed munition and determine the electrical status of these devices. Determining the electrical status of the mechanism will provide EOD technicians additional options to consider when determining the appropriate render safe procedure to use against these threat devices.

There has been considerable work in AI on decisiontheoretic planning and planning under uncertainty. Unfortunately, all of this work suffers from one or more of the following limitations: 1) it relies on very simple models of actions and time, 2) it assumes that uncertainty is manifested in discrete action outcomes, and 3) it is only practical for very small problems. For many real world proble...

The authors examined the effects of suboptimally presented primes (facial expressions) embedded into video messages on self-reported positive activation (PA) and negative activation (NA). The results showed that joyful facial primes elicited increased PA only for positively valenced messages, whereas angry facial primes prompted increased NA (fear) only for negatively valenced messages. In addi...

According to the direct parameter specification (DPS) account, reaction time effects of invisible primes depend on top-down control settings directed to targets (Neumann & Klotz, 1994). If this hypothesis holds, effects of invisible primes should decrease in dual-task as compared with single-task conditions: Prior to the primes control settings for the alternative task should be activated, whic...

The nth Ramanujan prime is the smallest positive integer Rn such that if x ≥ Rn, then the interval ( 1 2x, x ] contains at least n primes. We sharpen Laishram’s theorem that Rn < p3n by proving that the maximum of Rn/p3n is R5/p15 = 41/47. We give statistics on the length of the longest run of Ramanujan primes among all primes p < 10n, for n ≤ 9. We prove that if an upper twin prime is Ramanuja...

Are processes of figurative comparison and figurative categorization different? An experiment combining alternative-sense and matched-sense metaphor priming with a divided visual field assessment technique sought to isolate processes of comparison and categorization in the 2 cerebral hemispheres. For target metaphors presented in the right visual field/left cerebral hemisphere (RVF/LH), only ma...

We construct a finite 1-connected CW complex X such that H * (ΩX; Z) has p-torsion for the infinitely many primes satisfying p ≡ 5, 7, 17, 19 mod 24, but no p-torsion for the infinitely many primes satisfying p ≡ 13 or 23 mod 24. A homology torsion prime for a topological space Y is a prime p such that H * (Y ; Z) has p torsion. In [3] and [4] respectively, D. Anick and L. Avramov constructed s...

A conjecture of Cai–Zhang–Shen for figurate primes says that every integer k&gt;1 is the sum two primes. In this paper, we give an equivalent proposition to conjecture. By considering extreme value problems with constraints about in cases odd and even integers using method Lagrange multipliers, Cardano formula cubic equations, contradiction, prove