scholarly journals Exact Euler–Maclaurin formulas for simple lattice polytopes

2007 ◽  
Vol 39 (1) ◽  
pp. 1-50 ◽  
Author(s):  
Yael Karshon ◽  
Shlomo Sternberg ◽  
Jonathan Weitsman
2004 ◽  
Vol 11 (4) ◽  
pp. 655-670
Author(s):  
W. Bruns ◽  
J. Gubeladze

Abstract This is an overview of results from our experiment of merging two seemingly unrelated disciplines – higher algebraic 𝐾-theory of rings and the theory of lattice polytopes. The usual 𝐾-theory is the “theory of a unit simplex”. A conjecture is proposed on the structure of higher polyhedral 𝐾-groups for certain class of polytopes for which the coincidence of Quillen's and Volodin's theories is known.


1982 ◽  
Vol 26 (6) ◽  
pp. 3417-3429
Author(s):  
Hamid A. Rafizadeh

2016 ◽  
Vol 5 ◽  
pp. 131
Author(s):  
S. K. Vasal ◽  
N. Vergara ◽  
S. McLean

The populations 21 (Tuxpeño) and 32 (Eto Blanco) are known to be heterotic and are being improved using a modified interpopulation improvement system. In this study, synthetics with 3, 6, 9 and 12 lines were developed from each population and then intercrossed in a design-2 mating system to generate 16 intersynthetic hybrids. The 16 intersynthetic hybrids, 8 parcntal synthetics, and a single cross hybrid entry as a control were evaluated in four localities in a 5 x 5 simple lattice design with 4 replications. The yield performance of synthetics from Eto and Tuxpeño involving 6- 12 lines and the 3-lines Tuxpeño synthetics was similar (5.8 - 6.3 t/ha). However, the 3-1ine Eto synthctic registered a marked decrease in yield (5.1 t/ha). The bettcr parent heterosis of intersynthetic hybrids ranged from 11.1 to 29.6%. Usually, crosses among synthetics involving a fewer lines resulted in higher heterosis compared to synthetic crosses involving more than 3 lines. The results suggest that intersynthetic hybrids formed from 6 - 9 lines seem more appealing considering the level of heterosis (>20.0%) and a high yield per se of parental varieties. The intersynthetic hybrids offer an attractive option for those national programs with newly initiated hybrid projects, for creating hybrid -oriented maize germplasm and inbred line development.


2016 ◽  
Vol 7 (2) ◽  
pp. 58
Author(s):  
Wilfredo Castañeda ◽  
Luis Guerrero

With the objective of selecting and make available for the Basic Grains Program the promisory germ-plasm of rice, with high potentials for yields, resistant or tolerant to fungi-caused diseases, particularly piricularia (leaf blast), good plant architecture and adapted to different eco-systems in El Salvador. The study was implemented in two different surroundings: the Center for Technological Development in Izalco and the Center for Technological Development in San Andres, using the dry method. We evaluated 91 materials in simple lattice of 10 by 10, with two replicates. Two lots were sowed using six furrows with a lenghth of five meters each, separated by 0.30 meters. We used as indicator the commercial varieties X-10, CENTA A-4, CENTA A-5 and the elite lines L-1951, and L- 1956. The results we obtained were subjected to analysis for variation and selection index, identifying the best 15 materials by their yield, their vegetative cycle, and their reaction to diseases. The outstanding lines were elite L-1956 (5.7 t/Ha), used as indicator, and other lines: CT-8889-10-16-2-1-M, C-109 Cu83-SmCu-11Cu-5CU-1CU-MS, C145Cu82- SmCu-SmNa7Cu-4Cu, 3Cu-2Cu-MS, with yields of 5.6, 5.5. and 5.4. (t/Ha) respectively; all this surpassing the commercial indicator with largest production, CENTA A-5, which yielded 5.2 t/Ha. We recommend the evaluation of selected materials, in yielding assays.


2013 ◽  
Vol 34 (11) ◽  
pp. 1339-1348 ◽  
Author(s):  
Sheng Chen ◽  
Xiao-hong Huang ◽  
Chao Yang ◽  
Gang-feng Liu ◽  
Cui-jiao Ding ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document