The Ascending Tree Condition: Constructive Algebra Without Countable Choice

2003 ◽  
Vol 31 (4) ◽  
pp. 1993-2002 ◽  
Author(s):  
Fred Richman
2010 ◽  
Vol 11 (3) ◽  
pp. 210-214 ◽  
Author(s):  
Nicholas J. Souter ◽  
Shaun Cunningham ◽  
Stuart Little ◽  
Todd Wallace ◽  
Bernard McCarthy ◽  
...  

2021 ◽  
pp. 2150011
Author(s):  
Wei Dong ◽  
Jianan Wang ◽  
Chunyan Wang ◽  
Zhenqiang Qi ◽  
Zhengtao Ding

In this paper, the optimal consensus control problem is investigated for heterogeneous linear multi-agent systems (MASs) with spanning tree condition based on game theory and reinforcement learning. First, the graphical minimax game algebraic Riccati equation (ARE) is derived by converting the consensus problem into a zero-sum game problem between each agent and its neighbors. The asymptotic stability and minimax validation of the closed-loop systems are proved theoretically. Then, a data-driven off-policy reinforcement learning algorithm is proposed to online learn the optimal control policy without the information of the system dynamics. A certain rank condition is established to guarantee the convergence of the proposed algorithm to the unique solution of the ARE. Finally, the effectiveness of the proposed method is demonstrated through a numerical simulation.


2014 ◽  
Vol 36 (2) ◽  
pp. 146 ◽  
Author(s):  
T. L. Moore ◽  
M. D. Craig ◽  
L. E. Valentine ◽  
G. E. St J. Hardy ◽  
P. A. Fleming

Soil disturbance by terrestrial vertebrates when foraging for food and shelter is not only a sign of activity but an ecosystem function required for soil health. Many forests and woodlands worldwide are currently showing signs of a decline in condition due to various causes. Eucalyptus wandoo, endemic to south-west Western Australia, has undergone a decline in condition over the last decade. This paper explores the influence of E. wandoo condition (e.g. loss of canopy) and the associated changes in the habitat (e.g. changes in leaf litter and bare ground cover) on the foraging activities and soil disturbance by vertebrates. The number of diggings and scats, a representation of the foraging effort by some vertebrates, were recorded in Dryandra Woodland and Wandoo Conservation Park, Western Australia. Mixed-model ANOVAs were used to explore the relationships between the number of scats and diggings with tree and habitat characteristics. More vertebrate diggings and scats were recorded beneath healthier E. wandoo trees. Diggings and scats were also correlated with time since last fire and seasonal differences, with more time since last fire and wetter months related to more diggings and scats. Changes in foraging effort, or turnover of soil by vertebrates, could be a result modification of the level of soil turnover and alter many ecosystem services such as tree recruitment and nutrient cycling, in turn altering the habitat quality and even tree condition itself.


Author(s):  
V V Tsaralunga ◽  
A V Tsaralunga ◽  
E S Furmenkova
Keyword(s):  

Author(s):  
L Karlinasari ◽  
A T Lestari ◽  
M Y S Nababan ◽  
I Z Siregar ◽  
D Nandika
Keyword(s):  

2001 ◽  
Vol 16 (2) ◽  
pp. 65-70
Author(s):  
E.C. Lowell

Abstract A four-level, visual classification system based on tree condition was developed for beetle-killed spruce on the Kenai Peninsula, Alaska. The veneer recovery study estimated volume and value of veneer recovered from trees in all but the most deteriorated class (class 4). Trees were selected by dbh and deterioration class from plots spanning the peninsula. Results showed significantly lower recovery of both volume and value for logs from dead trees compared to logs from live trees. Volume and value recovery did not statistically differ between deterioration classes 2 and 3. There was about a 6% difference in cubic recovery between logs and veneer blocks from live (class 1) and dead (classes 2 and 3) trees. Defect present before beetle attack (existing defect) played a significant role in recovery results. Models were developed by deterioration classes incorporating losses from existing defect. Each 1% of existing defect translated to a decrease of 0.4% in cubic recovery and a loss of $1.96/CCF of gross woods-length log volume. The recommendation is to have two deterioration classes: one for live and infested trees and a second for dead trees. These two classes are sufficient for evaluating veneer recovery. West. J. Appl. For. 16(2):65–70.


PLoS ONE ◽  
2014 ◽  
Vol 9 (7) ◽  
pp. e102996 ◽  
Author(s):  
Adam G. Dale ◽  
Steven D. Frank

Sign in / Sign up

Export Citation Format

Share Document