The tolerance of a restorer line R1056 of rice and its hybrid combinations to high temperature at flowering stage was evaluated by sowing them at three dif- ferent dates and transplanting them into a greenhouse equipp...The tolerance of a restorer line R1056 of rice and its hybrid combinations to high temperature at flowering stage was evaluated by sowing them at three dif- ferent dates and transplanting them into a greenhouse equipped with heating system at flowering stage. Several important agronomic traits of these rice varieties or combinations were also measured. The results revealed that treated by high temper- ature (38 ℃) at flowering stage, the seed setting rate (70.4%), percentage of dehis- cent anthers (75.5%), and pollen number per floret (78) of R1056 were close to those of N22, which is tolerant to high temperature, and significantly higher than those of the rice varieties sensitive to high temperature. The seed setting rate, per- centage of dehiscent anthers, and pollen number per floret of the hybrid combina- tions generated from R1056 were smaller than those of R1056, but higher than those of the rice varieties sensitive to high temperature. R1056 had excellent agro- nomic traits, and good combining ability, and its hybrid combinations had low plant height, numerous panicles and high yield, suggesting that R1056 is not only an ex- cellent rice variety with tolerance to high temperature, but also an excellent restorer in three-line hybrid rice breeding.展开更多
In this paper, motivated by the results in compressive phase retrieval, we study the robustness properties of dimensionality reduction with Gaussian random matrices having arbitrarily erased rows. We first study the r...In this paper, motivated by the results in compressive phase retrieval, we study the robustness properties of dimensionality reduction with Gaussian random matrices having arbitrarily erased rows. We first study the robustness property against erasure for the almost norm preservation property of Gaussian random matrices by obtaining the optimal estimate of the erasure ratio for a small given norm distortion rate. As a consequence, we establish the robustness property of Johnson-Lindenstrauss lemma and the robustness property of restricted isometry property with corruption for Gaussian random matrices. Secondly, we obtain a sharp estimate for the optimal lower and upper bounds of norm distortion rates of Gaussian random matrices under a given erasure ratio. This allows us to establish the strong restricted isometry property with the almost optimal restricted isometry property(RIP) constants, which plays a central role in the study of phaseless compressed sensing. As a byproduct of our results, we also establish the robustness property of Gaussian random finite frames under erasure.展开更多
基金Supported by the Fund from Agricultural Science and Technology Innovation Center of Hubei Province(2007-620-001-003)Key Project of Natural Science Foundation of Hubei Province(2014CFA103)~~
文摘The tolerance of a restorer line R1056 of rice and its hybrid combinations to high temperature at flowering stage was evaluated by sowing them at three dif- ferent dates and transplanting them into a greenhouse equipped with heating system at flowering stage. Several important agronomic traits of these rice varieties or combinations were also measured. The results revealed that treated by high temper- ature (38 ℃) at flowering stage, the seed setting rate (70.4%), percentage of dehis- cent anthers (75.5%), and pollen number per floret (78) of R1056 were close to those of N22, which is tolerant to high temperature, and significantly higher than those of the rice varieties sensitive to high temperature. The seed setting rate, per- centage of dehiscent anthers, and pollen number per floret of the hybrid combina- tions generated from R1056 were smaller than those of R1056, but higher than those of the rice varieties sensitive to high temperature. R1056 had excellent agro- nomic traits, and good combining ability, and its hybrid combinations had low plant height, numerous panicles and high yield, suggesting that R1056 is not only an ex- cellent rice variety with tolerance to high temperature, but also an excellent restorer in three-line hybrid rice breeding.
基金supported by Natural Sciences and Engineering Research Council of Canada (Grant No. 05865)Zhiqiang Xu was supported by National Natural Science Foundation of China (Grant Nos. 11422113, 91630203, 11021101 and 11331012)National Basic Research Program of China (973 Program) (Grant No. 2015CB856000)
文摘In this paper, motivated by the results in compressive phase retrieval, we study the robustness properties of dimensionality reduction with Gaussian random matrices having arbitrarily erased rows. We first study the robustness property against erasure for the almost norm preservation property of Gaussian random matrices by obtaining the optimal estimate of the erasure ratio for a small given norm distortion rate. As a consequence, we establish the robustness property of Johnson-Lindenstrauss lemma and the robustness property of restricted isometry property with corruption for Gaussian random matrices. Secondly, we obtain a sharp estimate for the optimal lower and upper bounds of norm distortion rates of Gaussian random matrices under a given erasure ratio. This allows us to establish the strong restricted isometry property with the almost optimal restricted isometry property(RIP) constants, which plays a central role in the study of phaseless compressed sensing. As a byproduct of our results, we also establish the robustness property of Gaussian random finite frames under erasure.