Ratio equilibrium in an economy with externalities

1981 ◽  
Vol 41 (3-4) ◽  
pp. 279-294 ◽  
Author(s):  
Yozo Ito ◽  
Mamoru Kaneko
Keyword(s):  
Ratio Equilibrium

Potassium in soils under different cropping systems:1. Behaviour of K remaining in soils from classical and rotation experiments at Rothamsted and Woburn and evaluation of methods of measuring soil potassium

1971 ◽  
Vol 76 (3) ◽  
pp. 539-552 ◽  
Author(s):  
A. E. Johnston ◽  
T. M. Addiscott
Keyword(s):  
Buffer Capacity ◽  
Activity Ratio ◽  
Cropping Systems ◽  
Crop Rotations ◽  
Exchangeable K ◽  
Soil Potassium ◽  
Ratio Equilibrium ◽  
Equilibrium Activity ◽  
Exchange Behaviour ◽  
Classical Experiment

SUMMARYMeasurements made on soils from the Ley–Arable rotation experiments and some of the Classical experiments at Rothamsted and Woburn are described. Values of exchangeable K, equilibrium activity ratio, equilibrium K potential, and buffer capacity are given for each plot. Potassium quantity/intensity relationships measured for each plot showed that no differences in K exchange behaviour have arisen as a result of manuring or of ley or arable treatments. The only fundamental variation was in the quantity of K in the soils. Continuous ley plots, whether given N fertilizer or containing clover, contained much more K than plots carrying crop rotations. In the Classical experiment soils, quantity of K depended largely on manuring.Potassium uptakes by ryegrass grown on the soils from the various plots are discussed. Potassium uptake was well-related to quantity of K, better so than to the other K parameters. The release of non-exchangeable K to the crop was non-linearly related to the fall in exchangeable K in the soils from the Rothamsted Ley-Arable experiments.Drying and re-wetting the cropped soils released K in amounts inversely proportional to the amount of K in the moist cropped soil. This release of K was unrelated to the original exchangeable K contents of the soils.

scholarly journals Bargaining foundation for ratio equilibrium in public‐good economies

2020 ◽  
Vol 22 (2) ◽  
pp. 302-319 ◽  
Author(s):  
Anne van den Nouweland ◽  
Agnieszka Rusinowska
Keyword(s):  
Public Good ◽  
Ratio Equilibrium

Analytical Evaluation of the Static and Dynamic Characteristics of Three-Lobe Journal Bearings With Finite Length

2015 ◽  
Vol 137 (4) ◽  
Author(s):  
Athanasios Chasalevris
Keyword(s):  
Finite Length ◽  
Dynamic Characteristics ◽  
Reynolds Equation ◽  
Approximate Analytical Solution ◽  
Low Cost ◽  
Design Data ◽  
Evaluation Time ◽  
Approximate Analytical Solutions ◽  
Ratio Equilibrium ◽  
Stiffness And Damping

The three-lobe bearings widely used in rotating machinery follow the design data evaluated using numerical methods for the solution of the Reynolds equation. This paper defines exact and approximate analytical solutions of the Reynolds equation for the case of three-lobe bearings with finite length. Dynamic characteristics are provided analytically with closed-form expressions for laminar regimes of operation, using an approximate analytical solution that proves to be reliable and of low cost of evaluation time. The results for eccentricity ratio, equilibrium locus, stiffness and damping coefficients are presented for a range of Sommerfeld number and different cases of load orientation and compared with theoretical and experimental data from the literature.

scholarly journals Sex ratio equilibrium under partial sib mating

Heredity ◽  
1985 ◽  
Vol 54 (2) ◽  
pp. 179-185 ◽  
Author(s):  
Peter D Taylor
Keyword(s):  
Sex Ratio ◽  
Sib Mating ◽  
Ratio Equilibrium
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